diff --git "a/data/dm_maths/full_data_2/141_11255.jsonl" "b/data/dm_maths/full_data_2/141_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/141_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 2 minutes before 11:20 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/3 + 625*p**4\/3 + 78441*p**3 + 468767*p**2\/3 + 234070*p\/3 = 0. Calculate p.\nAnswer: -263, -1, 0, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j + 7*j**2 - 5*j**2 + j - j**2 - j + (-5*j - 9*j + 4*j)*(-j + 0 + 0))*(-3*j**2 + 3*j**2 + j**3).\nAnswer: 11*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/802020 and -119\/320808.\nAnswer: 1604040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s - 2*s)*(-2 - 2*s + 2) + (6 + 7 + 25)*(1 - 1 - 2*s**2 + (0*s - s + 0*s)*(s - 2*s + 2*s)).\nAnswer: -112*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -43 (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1344791.\nAnswer: -1344780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4*w + 11*k**3*w - 2*k**2*w + 3*k*w + 12*k - 4 wrt k.\nAnswer: -12*k**2*w + 66*k*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - o - 8, o = 2*f + 4. Let x be f\/1*(-6)\/4. Suppose 0*u - 14 = -3*u - c, x*u + 16 = 5*c. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-11\/4)*s**(3\/29))**(-1\/43) assuming s is positive.\nAnswer: s**(-447\/4988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -451*l - 2274. What is k(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -32*w + 1. Let r be k(-1). Let v = 0 - r. Does 4 divide 4\/(-16) + v\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, h = -h + 2*v + 32. Let l be ((-12)\/(-8))\/((-18)\/h). Let n = 306 + -307. What is the nearest to -0.1 in n, -5, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.682 to one dp.\nAnswer: 20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*s - 0*s. Let x = s - -16. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 60 = 5*q. Let x be q\/(-8) - (-33)\/6. Find d, given that 4*d**x + 4 - 12*d**2 - 16*d + 11 + 1 + 2*d**3 + 6*d**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3466*w + 55226 - 55226.\nAnswer: 3466*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 7*t**2 - 3*t + 3. Let f(r) = -2*r**3 + 15*r**2 - 7*r + 5. Let c(s) = 2*f(s) - 5*w(s). What is c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(567) + 5 + sqrt(567))**2 - (1*sqrt(343) + sqrt(343) + (sqrt(112) - (sqrt(112) + -1 - sqrt(112))))*-1.\nAnswer: -18*sqrt(7) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3366 and 2112.\nAnswer: 107712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-16 - 0) - 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 412044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from fllilhlalaili?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 402. Let z be y(-19). Which is greater: z or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7 + 16 + 11*o**2 + 4*o + 2*o**3 - 3 - 3*o**3. Suppose -u + 34 = 3*b, 2*u + 48 = 4*b + 6*u. What are the prime factors of w(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31144965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21660 divided by -380.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 23*i**2 + i - 2. Let f be m(1). What is the second derivative of 2*h + 20*h**3 + 22 - f - 9*h wrt h?\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:09 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 11 (c) 0.27 (d) -2 (e) 2\/217 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19459 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 - (121 + -107 + -9 + -35).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 3. Let y be j(-3). Suppose -13*i = 312 - 338. Suppose l + 4*x - 230 = y, i*l + 3*x + 0*x = 440. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -16*r**2 + 81*r - 2. Let d be u(5). Put 2, 1, -30, d in descending order.\nAnswer: d, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/270 + 85*f**4\/108 + 28*f**3\/9 - 126*f**2. Let m(r) = 0. What is r?\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5215828 - 255?\nAnswer: -5216184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4576 and 64900264?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -x + 2*x - 1, j = 2*x + 12. Suppose v = -j*o + 1 + 2, 0 = o. Let w be 38\/3 - 2\/v. Solve 3*l - w = 0, 0*l = 4*d + l + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32425?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -1 - (-131 + 127).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1420*t + 904558. What is l(637)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -0.5, -0.01, -32429?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from uuuuuuuiuiiiuuuiiu.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*x + 490011, 18*x + 326674 = 2*z + 15*x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -47, -102, -179, -278?\n\"Answer: -11*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*k - 830 = -4*v, 13*k + 2*k + 4 = 10*k - 2*v - 33 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = c - 27*y + 26*y, y = 2*c - 84. Calculate the remainder when 544 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 1 c when three letters picked without replacement from ppttcpthcctt?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117118074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0154283 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h - 241*h = -63*h - 541618. Is 7033 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 106*r**3 + 0*r**2 - 1 + 0*r**2 - 52*r**3 - 55*r**3 - 2*r**2. Calculate x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33774 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, -145, -319, -563, -877, -1261?\n\"Answer: -35*d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v - 4 - 2*v**2 + 0 + 0 + 0*v**2. Let c(x) = 94*x - 1 + 68*x + 73*x + 72*x - x**2 - 305*x. Calculate 7*c(h) - 2*m(h).\nAnswer: -3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000048 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 54*k - 5*h = 74*k - 22, 0 = 9*k - 2*h + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 11. Let z be g(3). Differentiate -1252 + 13*l**4 + z*l**3 + 1218 + 3*l**4 wrt l.\nAnswer: 64*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193250391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 - 1) - (41 - 33) - -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2105 + 2079 = -4*d, 3*d + 54 = -10*o. Let n(j) = 11*j**3 - 8*j**2 + 5. Let q(s) = -10*s**3 - 5 + 17*s**2 - 6 - 13*s**3. Give o*q(b) - 13*n(b).\nAnswer: -5*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (523 - 83)\/(-1 + 3 + -1). Determine o, given that -u*o + 4900 + 4780 - o**2 + 6*o**2 = 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1081, -2156, -3229, -4300?\n\"Answer: u**2 - 1078*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b**3 + 3356*b**2\/5 - 232*b\/5 - 448\/5 = 0. What is b?\nAnswer: -56, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548377559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -535 + 315. Suppose c - 6*q = -3*q + 41, -2*c + 70 = -2*q. Let v be (-3)\/(-24) - p\/c. Is 8 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1257\/230 + 56\/23. Calculate the common denominator of w and -53\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 5. Let l(j) = j**3 - 5*j**2 + 6*j - 6. Let o be l(4). Solve -i + r = o*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - 26409\/(-105444). Let t = -5122849\/61509 + a. Let v = 83 + t. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 150 = 14*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*f + 27074 = 7461 - 11275 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, g: 8}. What is prob of sequence iigg?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let u(v) be the second derivative of -43*v**3\/6 - 17*v. Let n(j) = -11*j. Let i(d) = -26*n(d) + 6*u(d). Determine i(g(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 276, -7, 1.12, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-2)*(-249)\/(9752832\/5120).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 + 98530*g + 98529 = 0.\nAnswer: -98529, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -0.2, -8, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 256, 269, 286, 307, 332, 361?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-52))\/(-1) + (-8)\/52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*n - 8 - 6 = 0, 4*n + 12 = 4*o. Suppose 0 = -o*f - w - 29, -2*f = -w + 2*w + 14. Do f and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 549.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 78*s**2 - 436*s + 284. Determine b(72).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163 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(i) = 6*i**2 + 7*i + 2. Suppose 0 = -24*f + 19*f - 10. Let a(x) = -2*x**2 - 2*x - 1. Give f*w(j) - 7*a(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 88. Let n(z) = 3 - z - 4*z + 0. Is n(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v + 5. Let c be g(4). Let l(q) = -c*q + 0*q + 2*q + 6. List the prime factors of l(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429180299 times -0.4\nAnswer: -171672119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42543 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338 greater than or equal to 5647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 480360\nAnswer: -480360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msxkk. What is prob of sequence xs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11506 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.89 - 6.89000414. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 555*q**2 - 1643 + 1231 - 669 wrt q.\nAnswer: 1110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(-6 + 3 + 4) + (i + 0 + 0)*(1 + 0 - 2).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w - 2*w)*(w - 2*w**2 - w) + (-30*w**2 + 17*w**2 + 26*w**2)*(8 - 8 - 4*w).\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*d + 0*d + 9 = 0, -3*p + d = -11. Let b = -2 + 5. Is p greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3 (c) 3 (d) 0.7 (e) -40\/23 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 47 + 37 = r, 170 = 2*r - 3*g. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.383 + 12.32482. Let a = 0.06918 + p. Let g = a + -0.011. What is the nearest to 1\/4 in -4, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58672248?\nAnswer: 2, 3, 2444677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 324 = -8*i + 272, 0 = 2*p + 5*i + 57 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168562054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -70. Let r = 2 - 2.2. Sort p, -4, r in decreasing order.\nAnswer: r, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5542392 by 2771196.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11097139*f**3 + 55026*f + 16 wrt f?\nAnswer: -66582834*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 6 (c) 0.2 (d) -5 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 2*l + (-32 + 14 + 23)*(4 - 4 + 4*l))*(l - 4*l + 0*l).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177966 divided by 19774.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 27 = 0. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1521, 3036, 4529, 5988, 7401, 8756, 10041, 11244?\n\"Answer: -2*g**3 + g**2 + 1526*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 13*j**2 + 14*j - 29. What is the hundreds digit of d(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 204590.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + 337. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101155508, -202311017, -303466526?\nAnswer: -404622035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 3. Let g be c(0). Let a(d) be the third derivative of -56*d**4\/3 - 7*d**3\/6 - 194*d**2. Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/29 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6234795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/v**7)\/(v**(1\/16)*v\/(v\/(v*v\/((v\/v**(-5))\/v))))*(v\/v**(-2\/15)*v)\/(((v*v\/v**(-2\/9))\/v)\/v)*v**9*v**(-8) assuming v is positive.\nAnswer: v**(-989\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 7 - (-18)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62305 (base 8) in base 5?\nAnswer: -1311142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25118 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**5\/15 + a**4\/6 + 13*a**3\/3 - 76*a**2\/3 + 112*a\/3 + 95. Solve t(v) = 0.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2\/19071 (c) -4 (d) 0.08 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1110, -4450, -10026, -17844, -27910, -40230?\nAnswer: -54810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7824.73 years to centuries.\nAnswer: 78.2473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46 - 146 - 153 + 76)*(1 - 2*f - 1) to t + p*f and give p.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, 3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7*b - 4)*((3*b + 2*b - 4*b)*(1 + 4 + 1) - 2 - 2*b + 2).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 10*j - 3*j. Let t = -10 + j. Solve 0 = -t*r + 9 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 24*f**2 - 3*f**2 + f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/19 + 168*j**4\/19 + 330*j**3\/19 + 164*j**2\/19.\nAnswer: 2*j**2*(j + 1)**2*(j + 82)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 41*t - 4*t - 156 = 0. Solve -t*q - r + 7 = -7*q, -q = 4*r - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3 - 3 + 3 + 6*y - y**2 - 4*y. Let d be u(2). Let c(f) = f**3 + 4*f**2 - 3. Calculate the smallest common multiple of c(d) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 + 52045*v**2 - 2533282 wrt v.\nAnswer: -6*v**2 + 104090*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 460418179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 290777659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4498 - 4*d**2 - 2107 + 4*d**2 - 643*d**3 - 2219 wrt d?\nAnswer: -1929*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7\/1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4171, 7805, 11427, 15031, 18611?\nAnswer: 22161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4*h - b**3 - 3*b**2*h - 39*b**2 - 6*b*h + 97*b + h - 2 wrt b?\nAnswer: -24*b**2*h - 6*b - 6*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 5*s + 10*s**5 + (-2*s**2 + 2*s**2 + 2*s**3)*(-2*s + 2*s**2 + 2*s) - 34*s**4 - 4*s**5 + 4*s**4 - 3*s**4.\nAnswer: 10*s**5 - 33*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + 0 - (0 + (-3 - -6)). Let p be y\/(-42) - 1\/7*40. Let f be (4\/(-6))\/(3\/(675\/p)). Solve 5*v - 3*v - f = 5*n, -3*n = 4*v + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyqqpqxyy. What is prob of picking 1 x and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/((-440)\/16)*50\/4. Solve -h*t = 16*t - 84 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*s**3 + 84*d**4*s**3 + 6*d**2 - 99*d*s**3 wrt d.\nAnswer: 60*d**2*s**3 + 2016*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, l: 6, h: 2, s: 1, o: 2}. What is prob of sequence zo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.5 (b) -3\/8 (c) 1\/7 (d) 0.5 (e) 2\/397 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*244\/4 + 4. Let m be b\/(-18) + -3 + (-70)\/132. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 5*j - j)*(3*j**2 - 3*j**2 - 8*j**3).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*f**2 + 260*f**2 - 866*f**3.\nAnswer: -866*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2724 = -2*j - 2*j + 4*i, 3*i = -3*j + 2061. Let l(d) = 395*d**3 + 3*d**2 - 1. Let y be l(-1). Let z = j + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/48 and -157\/4419960.\nAnswer: 8839920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 520187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -424*k + 857*k - 406*k. Let q(x) = -7*x. Determine y(q(o)).\nAnswer: -189*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496850 and 235350.\nAnswer: 4471650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 450352 (base 6) to base 16\nAnswer: 935c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29698, -59375, -89040, -118693, -148334, -177963?\n\"Answer: 6*c**2 - 29695*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1)*3\/(-6). Suppose 0*g = -t*g. What is the nearest to -1\/2 in 4, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993666 divided by -2.\nAnswer: 496833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132 - 146) + 22 + 1 - -84.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:02 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 41824*t\/3 - 2044574\/3.\nAnswer: -2*(t - 20863)*(t - 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 187. Let x = -26 - p. Suppose 3*i = 5*g - 0*i - x, 61 = 3*g + 2*i. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 0, 27*w - 28*w + 4*k = -14. Calculate the remainder when 264 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/(11\/110*5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 28. Suppose 0*s = -2*p + 2*s - 214, 5*p + 5*s + 575 = 0. Let y = p - -129. What is the lowest common multiple of y and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2047*t**3 + 5*t**2 - 20*t + 35. Let r(i) = -354132*i**3 + 864*i**2 - 3456*i + 6048. Calculate -864*a(l) + 5*r(l).\nAnswer: -2052*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 5*y = -26, 5*v - 4*y = 39. Solve g + v*g = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = 20. Suppose 4*c - b - w = -5*b, 5*c - 29 = -b. Let s = c - -16. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.67 + 0.17. Let x = -96 + 95.61. Let q = 0.19 + x. Which is the smallest value? (a) 0.4 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Give y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 19. Which is bigger: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 3*p - 3. Let s be z(-3). Let n be (-3 - -2) + s\/(-15). Let y be 6*16\/(-24)*(-1)\/(-38). Is y != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -399 + 114. Let h be (-4)\/(-10) + 84\/o. Which is the second smallest value? (a) 5 (b) h (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:29 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 40. Let b = -20 + s. What is the lowest common multiple of b and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 5)*(0 + 2 + 0) + 0 + 1 + 1)*(-3 + 3*h + 9*h - 9*h).\nAnswer: -6*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 14*o**2 + 15*o - 13. Is j(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.078, -0.5, 186.1, -8 in decreasing order.\nAnswer: 186.1, 0.078, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/(-80))\/(8\/690304).\nAnswer: 2, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w**2 + 2*w. Let n be i(-2). Let v be (-24)\/n - 178\/(-4). Let u = -33 + v. What is the least common multiple of 4 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222765293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -28, 1, 28, 53?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -168136\/5 <= -33626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149098288 to the nearest integer?\nAnswer: 33898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101 (base 2) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2. Let r(o) = -5528*o. Determine z(r(f)).\nAnswer: -61117568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29785 - 16052. Let w = q + -8110. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Suppose -2*w = -3*j + 47, 5*j - 2*w - 2*w = 81. Let g(d) = 6 - d**2 - j + 7. What is f(g(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/(-9) + 4*(-2 + 1). Let c(f) = 11*f + 23. Does 8 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q - 4. What is the remainder when z(-5) is divided by (6\/(-8))\/(2\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462842 divided by -17.\nAnswer: -27226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50819 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 24585*o + 50364300.\nAnswer: 3*(o + 4060)*(o + 4135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5763 + 295632425\nAnswer: 295626662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*l, 2*j - 6*j = l + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75)\/225)\/(((-2)\/27908)\/(18\/12)). Is 6976 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/9 - 25\/9. Let y = -25.6 - 0.4. Let p = y + 22. Put 1, p, z in decreasing order.\nAnswer: 1, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 7*w**4\/4 - w**3\/6 - w**2 - 2*w. Let n be q(-4). Let t = n + -127. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -25*5\/(-50)*(33 - 1). What is the highest common factor of 2240 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10823*z**3 - 21781*z**3 - 4*z + 7*z - 3*z + 10964*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58644, -56457, -54270, -52083?\nAnswer: -49896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 31. Let f be b(-4). Suppose -4*j = -0*j - 2*n, -4*j - f*n = 0. Solve j = -5*g - 10, 3*w = g + g + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*k - 12. Let d = 0 - k. Suppose -d*b + 2*x = 6*x - 1, 3*x = 4*b - 18. Calculate the lowest common multiple of 1 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k + 15*k**3 - 7*k**2 - 43*k - 26*k - 13*k**3 + 0*k**2.\nAnswer: 2*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 k when three letters picked without replacement from {g: 1, i: 4, k: 1, p: 2, h: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.092 and -6099.17?\nAnswer: 6099.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 48*a**4 - a**3 - 141*a**2 - 9*a + 22. Let s(j) = -12*j**4 + 35*j**2 + 2*j - 5. Let m(z) = 4*o(z) + 18*s(z). Find the third derivative of m(w) wrt w.\nAnswer: -576*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -19 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -8 - (2 - 0). Let l be (k\/(-1))\/2 - -1. Let b be 228\/8 + (-3)\/(-2). What is the highest common factor of b and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 - 316*o**2\/13 + 626*o\/13 - 24.\nAnswer: 2*(o - 156)*(o - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 32.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and 447.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q**3 + 4*q - 2. Let i(y) = -27*y**3 - y**2 + 9*y - 5. Calculate -2*i(b) + 5*v(b).\nAnswer: -11*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.5, 2\/7, 0.079?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 10*h - 20. Let i = -2471 - -2483. Determine w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/(-22) - 13)*(4 + -3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in centuries?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 7*r - 42. Suppose 4*i = -3*y + 28, 8 = 3*y - y. Suppose 0 = -4*w + 3*k - 29, -w + k = 4*k - i. Put r, -3, w in ascending order.\nAnswer: w, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -a41?\nAnswer: a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*w - 17, -3*u = -0*u - 2*w + 13. Suppose -2*k - 85 = 7. Let m = k - -48. Put -4, u, m in increasing order.\nAnswer: -4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p + 4*r = -15, 2*r = 4*p - 18. Let z(s) = s**2 - 8*s + 7. Let t be z(p). Solve -8*i + 3*i + 10 = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7049 - -77540\/11. Which is the third smallest value? (a) 0.3 (b) 6 (c) x (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*o**3 - 94*o**3 - 50*o**3)*((-1 + 3 - 3)*(o + 3 - 3) + 4*o - 5*o + 0*o) as n*o**4 + f*o + j*o**3 + r*o**2 + l and give n.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n - 4. Let o be c(-4). Solve 15 = -o*j - a, a - 12 = 5*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/4)\/(2\/4). Suppose -i*l = -8*l - 30. What is the remainder when 38 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**5\/20 - 17*s**3\/6 + 1421*s. Let v(y) = y**3. Calculate -m(z) - 2*v(z).\nAnswer: z**3 + 17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7)*-2 + 3.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1148 by -3.\nAnswer: -1148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -c6?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603579691.\nAnswer: 11, 13, 43, 103, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 723, 722, 721, 720, 719?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38030 by 5.\nAnswer: -7606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let d(v) = -v + 4. Let q be d(2). Let h be (-2 - 0)*q\/(-1). Is y > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 2, y: 3}. Give prob of picking 2 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -27*l**3 - l**2 - 8*l - 7. Let y be q(-9). Suppose 0 = -10*j + y + 12263. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 7)\/(1\/(-5)). Let w = 84 - q. Suppose -2*r - o = -w, -2*o = 4*r - o - 53. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 746*h**2 + 3 + 0.\nAnswer: -746*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10722 in 2\/13, 2, 1.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qss when three letters picked without replacement from mqssssmmmsskms.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*s + 8 = -0*s, 4*s - 6 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {b: 1, n: 1, k: 1, r: 2, d: 1, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15040 - 9868. List the prime factors of a.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98611\/12972 - 20\/1081. Calculate the common denominator of 115\/162 and r.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 9*p - 3*f - 5171, 4*f - 15513 = -3*p. What are the prime factors of p?\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 2, l: 1, d: 6, z: 2, f: 3, y: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33968*k**2 - 67950*k**2 + 33983*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4) + (-1)\/4. Let h = 225 - 220. Suppose 4*y - 6*q + 3*q + 26 = 0, -2*y = -h*q + 20. Sort -4, f, y in increasing order.\nAnswer: y, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 2*p = 520. Suppose 6*x = p + 98. Calculate the highest common factor of 50 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 + 4.6. Let r = 60 + -60.5. What is the second smallest value in r, 12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**3\/3 - 3*u**2\/2 - 25*u. Let s(k) = 9*k + 4. Let t(o) = 8*o + 4. Let i(h) = -5*s(h) + 6*t(h). Calculate -5*b(g) - 4*i(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 32*z**3 - 21*z**2 + 7*z. Let d(q) = 15*q**3 - 11*q**2 + 4*q. What is -7*d(k) + 4*m(k)?\nAnswer: 23*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 674*u**2 - 19*u + 15. Let s be k(1). What is the greatest common factor of 134 and s?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(38*a - 65*a + 31*a)*(-10*a + 8*a - 2*a).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317 - -325) + 1 + (0 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.879 + -2.\nAnswer: 31.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from aawaw.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i + 58 - 113 + 53.\nAnswer: 40*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5346 and 121\/15453828?\nAnswer: 169992108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b**3 - 28*b**2 - 127*b - 252. Calculate j(-4).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6534396045.\nAnswer: 3, 5, 9479, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3492 + 3696. What is the remainder when 7340 is divided by t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107338235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934445207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8671804l in millilitres?\nAnswer: 867.1804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1890*0.28\nAnswer: -529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13428 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 102*l + 30*l + 32*l + 29*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 16. Let a be l(-6). Find the third derivative of -15*q**3 + 2*q**2 + 37*q**3 - 3*q**a + 13*q**2 wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.51 - -1.01. Let y = -102.9 - -103.1. What is the closest to 0.4 in y, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100000?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Suppose -7*u = -9*u + 4. Let r(j) = 7*j**u - 37*j + 37*j. Determine h(r(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 16 = -62. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.2. Let u = 0.1 - m. Which is the nearest to u? (a) 0.2 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (23 + -36) - (8 - (4 + -2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 39590.3 to the nearest 100.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 38*d**2 - 2866*d. Let i(t) = 7*t. What is l(i(w))?\nAnswer: 1862*w**2 - 20062*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*5\/(10\/1). Factor 5\/4*k - 1\/2 + 1\/4*k**v - k**2.\nAnswer: (k - 2)*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1368585*i**3 + i + 6960961?\nAnswer: -4105755*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(1539) - (-5*(sqrt(1539) + 1 + sqrt(1539)))**2) + 1 + sqrt(1539) + 3)*-1.\nAnswer: 882*sqrt(19) + 153928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -y + 63, 12*o - o + 144 = 28*y + 11*o + 2*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 p when three letters picked without replacement from pbbb?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2383, -9549, -21523, -38311, -59919?\n\"Answer: -j**3 - 2398*j**2 + 35*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/9)\/(60\/(-18)) and 49\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/116361877 or -1?\nAnswer: -12\/116361877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 166 = 2*g, 83*s + 4*g - 280 = 44*s + 34*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 1958*b + 13685. What is x(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1307, 1309, 1313, 1319, 1327?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7203, -8931, -10653, -12369, -14079?\nAnswer: -15783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:13 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, b: 4, c: 2, v: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 3690?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 7*z**4\/12 - 4*z**3\/3 + 4*z**2 + 1278*z. Determine o(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 602*z**2. Let j(s) = -90*s. Give j(v(c)).\nAnswer: -54180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 676 - 399. Suppose -y = -4*u + 263. Let i = 202 - u. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.059 and 2316299347?\nAnswer: 2316299346.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*o - 70514, b + o = 18958 + 16297. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383 - 382.8. What is the third biggest value in 68, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1256*m**2 - 972*m + 1977*m**2 - 730*m**2 to the form l + n*m + d*m**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -789\/1642259 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 1, f: 1, p: 1, b: 2}. What is prob of sequence pn?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/7*(-119)\/(-2975)*7\/(-2).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 60*b - 316. Does 56 divide c(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-80))\/((-168)\/(-70)). What is the closest to 0.2 in -1.3, r, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220113 - 4?\nAnswer: -220117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15416 is divided by 15347.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 - 2*j**2 - j. Let g be d(-1). Suppose -2*y - 12 = -4*x, g*x = y + 2*y + 15. Suppose 17 + 4 = -7*a. Put x, -2, a in descending order.\nAnswer: x, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.49 - -80.49. Let t = -181 - -899\/5. Which is the second biggest value? (a) 0.2 (b) t (c) z (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12) + 1220\/24. Calculate the remainder when (-8)\/(-12)*u\/2 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44.96501ml?\nAnswer: 0.04496501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 296 = 5208. Let f = -936 + j. Suppose -f = 3*d - 8*d. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4469*k**2 - k. Let o be x(-1). Suppose 2*y = 7*y - o. Is (1\/(-3))\/((-2)\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + 39. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-15))\/((-2)\/6). Suppose 5*t = a + s*t - 10, 0 = -a - 2*t. Suppose 2*q = -p + 4503 + 3896, a*p - 12611 = -3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 2*c**2 + 3*c - 4. Let o be d(2). Let v(i) = 9*i**3 - 3*i**2 + 1. List the prime factors of v(o).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -6.89 (c) 0.3 (d) 7\/3 (e) -188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 3, w: 2, b: 7, j: 4}. Give prob of sequence wj.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 120*t**4 + 3*t**3 + 3*t + 165. Let b(r) = r**4 + r**3 + r. Let c(q) = -3*b(q) + n(q). What is the derivative of c(p) wrt p?\nAnswer: 468*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 152261251.\nAnswer: 2\/152261251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 5*u**2 + 0*u)*(-21 - 1 - 1).\nAnswer: 115*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 + v + 4. Let z = -164 + 167. Suppose 0 = -b - z*l - 6, -l = -3*b + 3 - 1. What is h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 8*g - 3. Let m(a) = 2226 - 2219 + 2*a + 7*a**2 - 19*a. Let k(o) = -o - 2. Let i be k(2). Let f(v) = i*m(v) - 9*s(v). Determine f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) + 24\/(-14). Let p be 134 - (-2)\/2*s. Suppose -62 = -5*l - n, -3*l + 27*n - 30*n = -42. Calculate the highest common divisor of p and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5 + 4 + -4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - d**2 - 3*d + 5. Let q be s(-5). Let l = 575 + q. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 356, 1198, 2042, 2888, 3736, 4586, 5438?\n\"Answer: a**2 + 839*a - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = p - 3*w, 58*w = -2*p + 589 - 629 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55811148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54095 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 32 (b) 12\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 19 + -11 - -15) + (10 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 53*v = 104*v + 96*v + 6099 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -2.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from ppppppppppppppppqqpp?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/252 + m**5\/60 - 2*m**2. Let h(q) be the third derivative of z(q). Is 12 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-8)*(c*(c\/(c**(5\/6)\/c))\/c)\/c*c)\/(c*c**(-4)\/c*c*c\/(c\/(c\/(c*c**6))*c)))\/(c**(-3\/2)*c*c**(-5)*(c**1*c)**(-32)) assuming c is positive.\nAnswer: c**(269\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2163\/(-70) + (-6)\/4. Let a = 311\/10 + c. Calculate the common denominator of 3\/(-27)*23\/((-414)\/3375) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by -1.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n + 472 + 316 + 1 - 43*n - 63 - 96.\nAnswer: 2*n + 630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 18, -13, -94, -243, -478, -817?\n\"Answer: -3*p**3 + 2*p**2 + 16*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55.689 * -2\nAnswer: 111.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/((-8)\/(-4)))\/(-1). Suppose 5*n + 2*y + 94 = 0, 3*n - n - 2*y + 46 = 0. Let p = u - n. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(833)*2 + -2)**2*-1 - ((sqrt(17) - (sqrt(833) + sqrt(833) + 2))**2 - ((sqrt(136)\/sqrt(8))**2 + 3 - sqrt(17)))).\nAnswer: -6194 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 6, n: 3, v: 2, t: 1, g: 2}. What is prob of sequence mvt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(52)\/sqrt(4))**2 - (sqrt(117)*4)**2.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -39*g**2. Let f(m) = 3838*m**2. Give f(i(r)).\nAnswer: 5837598*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3126 + -2916. What is the lowest common multiple of s and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190 in -12, -8, 5, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/(-4) + -1). Let h(x) = v*x + 6*x**2 - x + 1 + 0. Let b be ((-2)\/(-8))\/((-1)\/4). Give h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46 + -18 - (0 - 1*-4). Let k(x) = 2*x**2 + 9*x - 6. Let d be k(6). What is the highest common divisor of d and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/(-16) + (-2)\/(-8). Let b be 15\/27 - 2\/d. What is the nearest to -0.1 in b, -4\/5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*a - 10*a + 11*a**2 - a**2 + a**2 - a**2 + (2 - 2 + 2*a)*(-a + 3 - 3) - a**2 + 0*a**2 - a**2 - a**2 + a**2 - a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 145254344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:39 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + 2*x. Suppose 0 = 3*t - y - 12, -4*y = -x*t + 11 + 1. Let j be ((-3)\/1)\/(3\/(-4)). Calculate the highest common divisor of j and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 52*q - 500 = 0. Let i be 4\/10 + (-256)\/(-10). Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -356\/29, -1 in increasing order.\nAnswer: -356\/29, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 4*s**2 - 4*s**2)*(-2*s + 2*s + 4*s) + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/1)*2*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27246?\nAnswer: 2, 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -61, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(28 - (-2790)\/(-100)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8*s = -12*s - 715523, 21 = 7*s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l + 127. Let j be n(-8). Let v(p) = -p - 4 - 3*p**2 + p**2 - p**3 - p + 10*p**2. What is the tens digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48078976 minus 0.63839?\nAnswer: -48078976.63839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - c - 1 + 4, -12 = -2*i - 4*c. Suppose i*n - 5*n = -85. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 - 270. Let j = -1 + 2. Let h = j + z. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54100, -432655, -1460124, -3460963, -6759628, -11680575, -18548260, -27687139?\n\"Answer: -54076*d**3 - d**2 - 20*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, 19\/4 in descending order.\nAnswer: 5, 19\/4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Suppose d - 1 - 1 + 3 - 9*y + 3*y**2 = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, -4, 1\/5, 0.5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8806091ml in litres?\nAnswer: 0.0008806091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*g = -25*g - 23090 - 48810. Solve -g*y + 6 = -717*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 divided by 6.\nAnswer: 257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 1, 33532 in descending order.\nAnswer: 33532, 14, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:59 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 414*f + 12808. Give u(-31).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 2, m: 1, v: 4}. What is prob of sequence xvv?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 15*f)*(0 + 3 + 0)*(-f + 14*f**2 + 2*f - f).\nAnswer: 630*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94656053.\nAnswer: 7817, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18357596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4709\/14 - 2288\/7. Let w = 1 + -3. Which is the closest to w? (a) 0.4 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.468 - -232.606. Let n = -160 + m. Let f = n - 0.197. What is f rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t**(-1))**34 assuming t is positive.\nAnswer: t**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**2 + 116*o + 619. Calculate w(-5).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3000)*-20)\/((-30)\/(-27))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/895 and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 divided by -1037?\nAnswer: -1537\/1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/360 - d**4\/72 + d**3\/36 + d**2 - 3*d. Let i(r) be the first derivative of h(r). Factor i(j).\nAnswer: (j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 14. Let p = 86 + -46. Calculate the greatest common factor of p and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 24*h - 858. Find the third derivative of 37*d**2 - h*d**6 - 12*d**2 + 24*d**2 - 6*d**2 wrt d.\nAnswer: -4680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230366*d**5*k**3 - 24*d**2 + 478*k**3 wrt d?\nAnswer: 13821960*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2025\/(-405) - (9\/27)\/((-2)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*f - 20, -3*f + f + 10 = -5*h. Suppose -4*c = -5*c + f*s - 601, -2*s - 6 = 0. Let m be 4\/(-22) - 1267\/c. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f + 210. Let x be w(22). Is 15 a factor of 5 + 258*x\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, 78, 18 in decreasing order.\nAnswer: 78, 18, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 11*t**4\/12 + 5*t**3\/6 - t**2\/2 + 7*t + 8. Let m(z) be the first derivative of b(z). What are the prime factors of m(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (4 + 0)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5810*l + 673968. Determine v(116).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21907*l**2 + 21907*l**2 - 6*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -383988, -767977, -1151966, -1535955, -1919944?\n\"Answer: -383989*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.1467871\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 1. Let v(g) = 13*g**3 - 78*g - 78. Let l(k) = 2*k**2 - 19*k - 34. Let n be l(11). Calculate n*v(u) + 78*d(u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 32*t**4 - 5*t**3 + 3*t**2. Let b(c) = -16*c**4 + 3*c**3 - 2*c**2. Let o(d) = -5*b(d) - 3*s(d). Find the third derivative of o(n) wrt n.\nAnswer: -384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/1456*-12 - (192\/14 + -4 - 9)\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = -5*r, -3*r = -4*r - 2*s + 10. What is the greatest common factor of 54 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 8 + 0 - (57 - 50 - -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239757 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -376.2012 * 3.2\nAnswer: -1203.84384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 54 = -2*h, -2*y - 195 = -21*h + 220. Put 7, 0.3, -4, h in decreasing order.\nAnswer: h, 7, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((21\/2)\/7). What is the remainder when 14 is divided by 8\/s*(5 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47851 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*o**3 - 111*o**2 - 1071*o + 9?\nAnswer: 198*o - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.910660442 rounded to 4 dps?\nAnswer: 0.9107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69758*d - 72962*d - 87763*d + 55700*d.\nAnswer: -174783*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/(o**(-4)\/o))\/(o*o**(-1\/2)*o)**(-1\/2))\/((o**(-4)*o)\/(o**(-5)\/o)*(o**(2\/5)\/o)\/(o\/o**2)) assuming o is positive.\nAnswer: o**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = 5*j, 0*j = -t - j. Let q be 4\/t - (-6 - -7). Let c = -1 - q. Solve -5*w = -c*h + 11, -h + 6*w + 5 = 4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 152*i + 77. List the prime factors of h(3).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*h + 10 = 0, -3*l - 26*h + 35 = -22*h. Solve 5*m + 11 = -5*x + 3*x, -l*x = -5*m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 17*b**2 + 109 - 109 as u + w*b + f*b**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209689?\nAnswer: 277, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-6)\/45*9\/60*10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/8))\/d*d)\/d*d*d*d*d*d*d**(-12)*d*d)\/(((d**3\/d)\/d)\/d**(-17)) assuming d is positive.\nAnswer: d**(-183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -4056 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/6 + f**5 - 7*f**4\/4 - f**3\/3 + 4*f**2 - 4*f - 6. Find q, given that m(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (24\/(-84))\/((-2)\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o + 9. Let i be w(3). Suppose -i = 7*d + 9. Is -15 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(13\/4)*a*a)\/a)\/(a*a**12))\/(a**(-15)*a\/((a**(3\/17)\/a)\/a*a)*a) assuming a is positive.\nAnswer: a**(-141\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421, -4, -1683, 5, 0.\nAnswer: -1683, -421, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, r: 1, c: 1}. What is prob of picking 2 y and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -963 divided by -321\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*o + 5*f, 55*f + 1 = 3*o + 53*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*a + 104*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 43 - 63 = 0. What is the third smallest value in 5, 0.5, i, -2\/31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*q + 3*l - 26, -2*q - l = -19. Suppose -4*z = -0*z - q. Solve c - z = 0, -2*h + 2*c = 3*c - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = 5*y + 94, v - 5*y - 12 = 0. Suppose -2*i + 5 = -b, -4*i = -7*i - 5*b + v. Calculate the highest common divisor of 28 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + 1. Let p = -20 + v. Let -3*m**3 - m**3 + m**p = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256\/(-1269)*702\/(-728)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11*b = -5970. Suppose 0 = -4*o + 3*n + b, 164 = 2*o - n - 335. List the prime factors of o.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 9*t**2 - 16*t - 6. Let a(p) = 3*p + 29. Let w be a(-12). Let b be u(w). Solve -2*f - b - 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 5*n**2 - 2*n + 5. Let k be -1*(-3)\/(-2)*4. Let t be s(k). Let o = -12 - t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnnnytnyydnnd. What is prob of picking 1 y, 1 k, and 1 n?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -3*k**7\/70 + 23*k**6\/40 - 43*k**5\/60 + 7*k**4\/24 + k**2 - 32. Factor a(v).\nAnswer: -v*(v - 7)*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(35\/(-14)) - -4. Suppose -2*d - 2*d + 1539 = -5*x, 0 = -d - q*x + 401. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-15) + (-2016)\/(-30) + 3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 26. Let t(p) = -p. Let i(w) = 374*w - 1. Let z(d) = -i(d) - 5*t(d). Let r be z(s). Round r to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ittx when four letters picked without replacement from {x: 2, j: 1, o: 1, t: 1, m: 2, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-24 - (17 - 25) - -41).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 3*v = 112. Let p(a) = -6*a**3 + 10*a**2 + 16. Let o(u) = -2*u**3 + 3*u**2 + 5. Calculate v*o(t) + 5*p(t).\nAnswer: 2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 + 13*u - 31. Let r be a(9). Solve -r*q + s - 12 = -0*q, s - 6 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v = -43*v + 616 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*t**4 + 4*i*t + 38600206*i + 383565*t**3 with respect to t.\nAnswer: 28*i*t**3 + 4*i + 1150695*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/7296 and 37\/30?\nAnswer: 36480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let q(k) = -2*k + 845 - 845. Determine q(m(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -877b (base 13) to base 14.\nAnswer: -6c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*x**3 - 128*k*x**2 - 77*k wrt x.\nAnswer: 3*k*x**2 - 256*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -258\/5. Let y = -5.17 + 3.17. Put y, 0.7, q in decreasing order.\nAnswer: 0.7, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5, 2*n - 3079 = 5*j + 676. Suppose -a - n = -6*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5590125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -36*t**3 + 22*t**2 - 8*t + 12. Let u(o) = 12*o**3 - 8*o**2 + 3*o - 4. Determine -8*u(f) - 3*v(f).\nAnswer: 12*f**3 - 2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -720 - -1a?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20*m + 451 = -19*m, 4*b - m - 359 = 0. Let y = -90 + b. Which is bigger: y or 1\/179?\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 193. Let i = q + -60.00152. Round i to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2274?\nAnswer: 6822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-112 - 4\/2). Suppose -4*b = -2*b + 40. What is the units digit of w*(b\/(-8))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988895002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -14.9843. Round k to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*x + 66*x + 19*x - x + 3 - 22*x - 2.\nAnswer: 160*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8191872 and -161\/511992.\nAnswer: 8191872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*b - 566*b - 247*b.\nAnswer: -298*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -143, -157, -175, -197, -223, -253?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w**3 + 0*w**3 + (2*w**2 + 0 + 0)*(-2*w - 3 + 3) - 9*w**3 + 21*w - 21*w)*(2 + 2 - 3) - 2*w**3 + 2*w**2 - 2*w**2.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 116555*p - 699510.\nAnswer: 5*(p - 6)*(p + 23317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 0. Suppose -5*m - 3*f = f - 112, j = -5*m - 3*f + 109. What is the third derivative of 6*c**2 + c - c + m*c**3 wrt c?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 7*k - 6. Let b be -8*(2 + -3 + 0). Suppose -2*l = 5*y, -2*l = 3*y + 2 + 2. Calculate the remainder when m(b) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845850 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 2\/5, -3 in decreasing order.\nAnswer: 2\/5, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 40*f - 49. Let p be b(11). Calculate the greatest common factor of 119 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3666195 to 4 decimal places.\nAnswer: -0.3666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088518.\nAnswer: 2, 544259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1200*x + 21600. Let v be f(18). Determine o so that 6*o**4 - 8\/3*o**5 - 4\/3*o**3 + 0 + v*o**2 + 0*o = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(243))\/((sqrt(90) - -1*sqrt(90))\/sqrt(10)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(10\/8). Let i = 0.7 + -0.5. Suppose -2*u + 81 = 75. Which is the nearest to o? (a) i (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 57926.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1341 + -911. Let l = 1015 - g. Suppose -5*s + y + 1954 = 0, -2*y - 2147 = -4*s - l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 182*a + 182*a + 2*a**2 - 15 to the form c*a + v*a**2 + d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a**3)*(3*a + 2*a + a) + a**4 - a**4 - a**4 - 10083*a**3 + 89*a**4 + 10083*a**3.\nAnswer: 94*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*m = -2*n + 161, 3*n = 3*m + 438. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*u - 18196 = -9*q, 5*q - u = 22774. Let v = 8995 - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = 3945*q - 3947*q, 3*f - 15 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -2*x**5\/5 - 3*x**4\/2 - 4*x**3\/3 + 27. Factor l(p).\nAnswer: -2*p**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -2b?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/20 + 3*w**4\/4 - w**3\/6 + 13*w**2\/2 - 6*w. Is 4 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.1 - -2.1. Let d = 107 + l. Suppose 2*w = -2*w + 4*r + 24, -4 = 4*r. What is the biggest value in d, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 45, 63, 81, 99, 117?\n\"Answer: 18*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729 divided by -91?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164826 or -164862?\nAnswer: -164826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299201 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: List the prime factors of 165909620.\nAnswer: 2, 5, 8295481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470 and 517.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*f + 4 - 4 + 321*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 + q. Let h(m) = 3*m + 2*m + m**2 - 5*m. Let z(f) = 3*h(f) - y(f). Let u be z(0). Solve -3*x + 4 + 2 = u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 327 + 39. Suppose b = -2*p + 6*p. Let t(f) = -f**2 + 8*f + 15. Calculate the remainder when 53 is divided by t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*z + 294*z - 114 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2755803 at least as big as -2755775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b - 4*p, -6*p - 15 = -p. Let s be 1\/(3\/15 + 0). Is s <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913 equal to -1906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v - 6. Let a(k) = -80*k + 55. Let c(f) = -4*a(f) - 35*p(f). What is the first derivative of c(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b**2 - 9*b - 1. Calculate v(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110 - 121010102?\nAnswer: -121021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 186, 379, 578, 783, 994, 1211?\n\"Answer: 3*u**2 + 184*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/2 - 11. Let f = 3 + -4. Let g = -3454408 + 3454413. What is the third biggest value in q, g, f, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19 + 18)\/((10\/(-4))\/5). Let z(j) be the first derivative of 1\/5*j**3 + 0*j - 3 - 3\/10*j**d. Factor z(c).\nAnswer: 3*c*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.58 + -6.48. Which is the fourth biggest value? (a) 1\/4 (b) -0.5 (c) v (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5\/3 (b) 82496 (c) 5 (d) -1\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*a - 207, 633 = -3*z - 5*a + 8*a. Is 71 a factor of ((-123)\/9 + 5 + 6)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240916231 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: Solve 8 = -0*a + 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4659 divided by 1553.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -43, -48, -35, 2, 69, 172?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1058 + -1053. Solve -30 = -2*z + i*v, 5*z - 5*v = -2 + 47 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*p + 24 = -0*p, 5*f + 4*p = 33. What is the remainder when (-4)\/6 - 56\/(-3) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from xrqlhlxxqhqmrh.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)\/u)\/u**14)\/(u**(-2)*u**(1\/21)) assuming u is positive.\nAnswer: u**(-3056\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) - (sqrt(2100)*1 + sqrt(2100) - sqrt(2100))*-4)*-5)\/(3*sqrt(243) + sqrt(48)\/sqrt(4)).\nAnswer: -250*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10447.03 + 10447. Which is the biggest value? (a) 3 (b) -0.07 (c) 1\/5 (d) 3\/16 (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/6 + -1\/2. Let r = -225 - -64. Let a = r - -161.2. What is the nearest to 3 in n, a, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:43 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504349 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from yuufyuffyj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -1\/8 (c) -3032 (d) -2\/15 (e) 2406\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63823, 63817, 63811, 63805, 63799, 63793?\n\"Answer: -6*h + 63829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*z**3 - 25*z**3 + 198*z**3 - 51*z**3 - 42*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -49779 greater than -49780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 30. Suppose -4*m = -5*j - 236, -4*j = -0*m + s*m - 146. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901551601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 less than or equal to 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137\/40 + -5\/8. Let z(n) = 2*n + 8. Let p be z(-6). Let g be (p\/(-2))\/((-10)\/(-15)). Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*w - 24937, -5*q + 143*w - 148*w + 124505 = 0. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32835 and 120.\nAnswer: 262680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1*-6 - sqrt(84)) + (sqrt(84)*2*-2 - sqrt(84)))\/(2*sqrt(432)*2 + sqrt(432))*2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w - 91. Let v be r(7). Suppose 2*t - 22*t + 180 = v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/168 and 13\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vqqqqggggvqvqggvvqv?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11213 and -18669.\nAnswer: -209335497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155 - 124 + 179)*(-2*p**2 - p**2 + p**2) to z*p**2 + w*p + j and give z.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 18. Let o be t(11). Suppose -75 = -o*p - 15. What is the tens digit of 202\/5 + (-6)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 37*x - 24*x)*(-4 + 4 - 2*x**2) in the form s*x + t*x**3 + q + w*x**2 and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -604217?\nAnswer: 5\/604217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j - 21*j + 721*j**3.\nAnswer: 721*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 + 3 + 5*f + 2 + 1202*f**2 - 35 wrt f?\nAnswer: 2404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x = -24. Let y(c) = -x + 0*c + 9*c - 8*c. Let m be -8*((-3)\/6)\/1. Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-4)\/4) + -1. Let f = 82 + -896\/11. Sort -2\/3, f, q.\nAnswer: -2\/3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -615077 times 0.5\nAnswer: -307538.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9695 and 23\/9695.\nAnswer: 9695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180381?\nAnswer: 7, 67, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282567 + 181190 + 1948783 = -260*r. Round r to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1736 and 18011?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 339*g**5 + 23*g**4 + g**2 - 2*g - 23403?\nAnswer: 20340*g**2 + 552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8146 - -8141. What is the fourth biggest value in r, 0.071, 0.1, 2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h + 5*h**3 - 33*h**3 - 24*h**3 - 17*h.\nAnswer: -52*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + -3 + sqrt(52)\/sqrt(4) - 1*(3 + sqrt(13)).\nAnswer: -6 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/8 - 54193*o**4\/8 - 650111*o**3\/4 - 4496159*o**2\/4 - 14300737*o\/8 - 6554449\/8 = 0?\nAnswer: -54169, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 1, u: 3, j: 1, l: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 27 - 6*m - 27. Let h(s) = -25*s - 26. Let w(a) = -7*a - 9. Let u(t) = -2*h(t) + 7*w(t). Give b(u(i)).\nAnswer: -6*i + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-24))\/((-2)\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w - 1. Let u be o(3). Suppose p - 2*k - 20 = -2*p, -2*k = -p + 12. Put p, 2, u in descending order.\nAnswer: u, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -53*o + 99. What is p(4)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26759 is divided by 1584?\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s + 9. Calculate c(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 + 20*p**2 + 58*p**2 - 86*p**2.\nAnswer: -26*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b - 5. Let n be 2 - 7\/((-7)\/2). Let c be 13\/(-2) + 2\/n. Give d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32842 - -32848. Let t(f) = -18*f + 97. Give t(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = 0, -11*i + 16*i + 3*u = 17. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2123582*m**5 - 1535486*m**2 - 2*m.\nAnswer: -127414920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - u - 36 = -8, -3*u = 4*v - 59. Let p(l) = -l**3 + v*l - 11*l + 1. What is p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17359637, 34719276, 52078915, 69438554, 86798193, 104157832?\n\"Answer: 17359639*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 2488409.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 52 = 58*a + 465 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, -2, -30\/311.\nAnswer: -3, -2, -30\/311, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-385)\/(-371)) + (-3 - -12) + -18\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*o - 15285 = -787*o + 30411 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3033332 - 55?\nAnswer: -3033431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13056\/19 or 2305?\nAnswer: -13056\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*d + 13 - 56, 5*d + 0*d = -22*m + d + 134 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30525\/(-50))\/(-33)*2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 83 + 137 + 116 + 72 + 42 - 283.\nAnswer: 4*t + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x**2 - 471*x**2 - 500*x**2 + 42*x**2.\nAnswer: -1100*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 66 + 112 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 78*i - 499. Let f be x(-6). Solve 0 = r - 3*y + 15, 4*y - 3*y = 2*r + f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - y - 2. Let h(a) = -25*a**2 - 9*a - 17. What is -6*h(r) + 51*v(r)?\nAnswer: -3*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -2. Let i(x) = 40*x - 84*x - 2 + 43*x + x**2. Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 25667, 15 in decreasing order.\nAnswer: 25667, 59, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r. Let k be x(-1). Let f be 27\/k*(-4)\/6. Is -3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x - 6. Let q be m(-1). Let c(t) = -t + 16. Let y be c(q). Let v(i) = -i**3 + 5*i**2 - 1 + 3*i**3 - 2*i - 3*i**3 + 8*i. Determine v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 + 2338*f**3 - 47602*f**2 - 49938*f = 0. Calculate f.\nAnswer: -1189, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 bigger than 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 30*v = -3*v - 2352. Calculate the remainder when v is divided by 107.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**12)\/(k\/(k*k\/(k\/k**2)))*(k\/((k\/(k**(-2\/55)\/k))\/k*k)*k)\/k**(-10) assuming k is positive.\nAnswer: k**(53\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1183, 764, 9, -1082, -2509, -4272?\n\"Answer: -168*w**2 + 85*w + 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22761.5 + -22762. What is the second smallest value in -162, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28512285 bigger than -28512283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386113754 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10727 divided by 8.\nAnswer: -10727\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 9*q - 1650 = -3*l, -5*q - 2227 = -4*l. Round l to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 51*j + 1283. Determine l(-35).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -0.3. Let s = 5.2 + -5. Let b = n + s. What is the nearest to b in 0.4, 4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90124.\nAnswer: 2, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 48*n**2 + 44*n**2 - 56*n**2 + 53*n**2.\nAnswer: -7*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 616576690*c - 95041703662839025 = 0. Calculate c.\nAnswer: -308288345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.24. Which is the nearest to h? (a) -2\/7 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7774, 15543, 23326, 31129, 38958, 46819?\nAnswer: 54718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 99*u**2. Let k(t) = -2*t**2. Determine r(k(a)).\nAnswer: 396*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 44, 77, 112, 149?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5062*k + 6947 + 15709 + 27964 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/2 + 27*a**3\/2 - 75*a**2\/2 + 73*a\/2 - 12 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**10\/2520 - h**6\/360 - h**3\/3 + 3. Let x(o) be the third derivative of n(o). Find the third derivative of x(z) wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112498, 225124, 337748, 450370?\n\"Answer: -l**2 + 112629*l - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*v - 1001, 3*f + 9*v + 611 = 4*v. Let o = f + 204. Solve o*k - 15 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 + 3)*(2*u + 0*u + 0*u) - 4*u + 4*u - u + (3 - 2 - 2)*(5*u - 4*u + u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-33)\/(-5010)) - -1. Let a = p + -153. Sort -0.3, a, 6.\nAnswer: -0.3, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 2*j = -92, u + 3*j = 37. Suppose -s = -u - 8. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -18*y + 13*y. Which is the third biggest value? (a) 0.5 (b) 41 (c) y (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -669, 0, -1 in increasing order.\nAnswer: -669, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 942.98428 + -943. What is f rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2492\/210 - 8) + -1*4. Which is the nearest to -21? (a) -1\/19 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 5*o + 19*o**3 - 7*o - 12*o**2 - 7 + 19*o**4 - 5*o. Let q(v) = 6*v**4 + 6*v**3 - 4*v**2 - 6*v - 2. Let f(c) = -2*l(c) + 7*q(c). Factor f(t).\nAnswer: 4*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478275601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, x: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -486*m + 28216. Determine o(57).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85813 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 6609.\nAnswer: 109\/6609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.36, -6996\/7, -5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 12. Let x be i(3). Let v be (6\/9)\/(1\/(-18)). Let m = v - x. Calculate the highest common divisor of 60 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 3. Let m = 124 - 96. Suppose 27*x + 2 = m*x. Let j(w) = -w - 1. Determine x*c(u) - 10*j(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/3 + 10*m - 152\/3 = 0. What is m?\nAnswer: -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppehq. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-10))\/(4\/20). Suppose u + r - 9 = 0, -2*u = -y*r + 9 - 2. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 10. Let s be a(-10). Let u be 1\/((s - 2)\/(-94)) - -1. Suppose 5*n = -5*d + 2*d + 66, -u = -3*n + d. Put 3, 5, n in decreasing order.\nAnswer: n, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**9\/504 - h**5\/60 + 3*h**2\/2 - 1. Let m(t) be the second derivative of o(t). Find the third derivative of m(x) wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 117958 + 127454. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-840)\/(-70) + -13 + 2. Suppose 0*a = -a + 10. Solve -3*p + w - a = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let i = q + 4. Let 2*x - i*x**2 - 2*x**4 + 4 - 6*x**3 + 4*x + 0*x**2 = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24983458432 - -182.\nAnswer: 24983458614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (6 + (0 - 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810765832?\nAnswer: 2, 101345729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 15*x**2 + 14*x + 3. Let w be n(-14). What is the nearest to -2\/3 in w, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -8 + 8. Suppose s = 15*y - 8*y - 14. Let k(m) = 3*m**3 + 2*m**2 - 2*m. Let l(q) = 10*q**3 + 7*q**2 - 7*q + 1. Give y*l(b) - 7*k(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9167 and 890?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from {x: 1, f: 2, g: 1, w: 2, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(-2*c + 2*c + c) + 3*c - c - c + (c + c + 0*c)*(-21 - 105 + 48) + c - c + 3*c in the form j*c + r and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8981*u**2 + 4198*u**2 + 4778*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/64 - (0 + 724\/80))*(-5)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 8 + -23 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.3, -2\/5, -3\/5, 21, 1\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) -2\/19 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/111185 and 63\/65.\nAnswer: 1445405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 143*t - 143*t - 5*t**2. Let x(f) = f. Determine x(w(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 114*a + 124043 - 10543 = 0. Calculate the remainder when a is divided by 124.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 461094 and 3534?\nAnswer: 8760786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, n: 1}. Give prob of sequence nrrr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose c*b + 447 = 6*i - 3*i, 0 = 5*i + 5*b - 745. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -11843412.\nAnswer: -1\/5921706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5*o**4\/4 - 10*o. Let r(s) = s**2. Determine r(h(w)).\nAnswer: 225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135895, 271251, 406055, 540301, 673983, 807095, 939631, 1071585?\nAnswer: 1202951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*b + 14865, 103*t = -5*b + 102*t + 24731. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/6, 4\/9, -6.1 in ascending order.\nAnswer: -6.1, -5, 1\/6, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-3)\/2)\/(24\/(-1120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -378*s**2 + 77380 - 77380 as w*s + x + o*s**2 and give o.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from {t: 13, s: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - s. Let z be p(0). Solve w - 2*v - 7 = -z*w, 5*w = -3*v - 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*l = 88 - 4, 5*w + 100 = -3*l. Let s = -59\/75 - -28\/25. What is the closest to w in s, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 106 = -33*l - 116*l. Let y = 0 - -2. Solve 4*t - 8 = -y*a, -5*a + 2*t - l = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -174.2. Let v = 49 - q. Let y = 0.05 - 0.06. Which is the third biggest value? (a) y (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 1. Let i(f) = -7*f**2 + 2*f - 2. Let x(h) = -i(h) - 2*l(h). Let u(r) = r - 19*r**2 + 18*r**2 - r. Give u(x(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 9*x**3 + x**3 + 7*x - 9*x**3 + 6 + 4*x. Is z(5) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 56647?\nAnswer: 6\/56647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*f + 190, 3*f = 2*p + 3*p - 131. Let c = 8 - f. Suppose c = v + 35. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/((x*(x*x\/(x*x*x**(1\/7)*x*x)*x*x)\/x)\/x*x))**(1\/57) assuming x is positive.\nAnswer: x**(10\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -6*d + 11*d, -5 = -5*d. Sort -361, y, 4 in increasing order.\nAnswer: -361, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - y = 6*v - 30, -3*v - 2*y + 11 = 0. Let t = -5 + v. Differentiate -1 + 0 + 5 + f**t with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 34*j + 3. Let i be v(17). Suppose -3*z - 3*s + 486 = 0, -i*z + s - 87 = -561. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 19*c + 20. Suppose 114 = 6*p - 0*p. Let n be t(p). Let w = n - 7. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4. Let i be x(9). Suppose i = 8*o - 11. Calculate the remainder when 63 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/8)\/((-5838)\/(-584) + -10) is divided by 87?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + 9*x**3 + 87*x**2 + 76*x**2 - 163*x**2 + 9*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 416422 and 416421 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907 - 1684389351?\nAnswer: -1684391258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 17*n - 153. Give a(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -4. Let t = v - -8. Solve -t*n = -20, -5*n = -c - 0 - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u. Let b be a(-6). Let f be 2\/10 + 58\/10. Solve o + 3 - f = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.82219 and -63.96.\nAnswer: -52.5872724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52970 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069153333 rounded to 4 dps?\nAnswer: -0.0692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*s - 11*s + 12265 = -3012 - 3443 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000193172152 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 + -406 + 146 + -83 + (1 - 0)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1573\nAnswer: -2\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 9*y - 24 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/18*(-36)\/120.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 418604?\nAnswer: -418606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 9*w**2 + 9*w + 8. Is f(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r - 0. What is the second smallest value in r, -3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by -329?\nAnswer: -165\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -0.03951\nAnswer: -0.47412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 1535841 - 767920 - 767915.\nAnswer: -4*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 98*r**3 + 245*r**3 - 1.\nAnswer: 147*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 28 - 7. Suppose -33*l + 56 = -26*l. Solve l*g - s*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i. List the prime factors of q(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 282 + 288. Suppose -k*z - 42 = -59*z. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffwfff.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + o = -0*o - 85, -89 = -4*m + 5*o. Let t = m - 15. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, -14.\nAnswer: -23, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-11)*w*w*w**(4\/5)*w*w*w*w*w**2*w*w**(-4))**40 assuming w is positive.\nAnswer: w**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.3 + -114.3. Let g = 106.000047 + p. What is g rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u**2 + 64*u**2 - 15*u**2.\nAnswer: 117*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*n - 39*n - 9527856 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let h be u(-6). Let f be ((-25)\/15)\/(1\/(-3)). Suppose 0 = f*i - 16 + 1. Solve -i*o + h = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 603466 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -90*w + 33. Let q(k) = 11*k - 4. Let c(d) = 4*j(d) + 33*q(d). Let a be (-4)\/18 - (-11)\/9. Determine c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 13*m**2 - 8*m - 9. What is n(-13)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((1855\/(-175))\/53)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 13*r + 5*l - 15, -4*l + 77 = -13*r - 1 - 51 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5*n**2 + 3 + (3*n + n - 3*n)*(3*n + 3*n - 5*n) + 0*n**2 + 3*n**2 - 2*n**2)*(-11 + 11 + 5*n) to the form c*n + g*n**2 + y + s*n**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.866 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x. Let a(d) be the first derivative of 4*d**3\/3 + 48. Determine a(h(c)).\nAnswer: 676*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + q = b - 1, -b + 5*q = 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a51 (base 14) in base 15?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (420\/32)\/(22\/(-9784)). Suppose -3*i + 2*i + 4*w - 5820 = 0, -3*i = 4*w + 17540. Let q = i - s. Find the common denominator of -3\/2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -173\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 - -6.1. What is the fourth biggest value in -4, g, 0.4, -0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(24\/108). Solve -2*y - 20 = v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 - 2015*l - 8070. Determine b(-4).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13223320113 (base 4) in base 8?\nAnswer: 7537027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -682, -1527, -2710, -4231, -6090, -8287?\nAnswer: -10822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15797 - -15883. Solve g*j = 80*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*q = 1, 4*q + 21 = -5*c - 3. Let y = c + 10. Let l be 11\/2 - 3\/y. What is the highest common factor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-29 - -27) + (6 - 0) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-19 - 15*y + 19)*(-2*y + 2*y + y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 13*b + 116. Let g be x(6). What is the units digit of 2\/((1\/g)\/(-1)) + 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:42 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 94. Suppose -4*k = r - d, -3*k - 3*r = 7 - 31. Calculate the highest common factor of k and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143458 is divided by 983?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, p: 7}. Give prob of sequence ppp.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let p(h) = 34 - 2017*h + 17 + 2014*h. Calculate n(p(o)).\nAnswer: -9*o**2 + 306*o - 2601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4 + 1236*z**3 = 0.\nAnswer: -309, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f - 6*f + x, -f - 2 = -x. Let v be ((-1)\/15)\/((-3)\/f). Let h = -2.5 - -2.4. Which is the biggest value? (a) v (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -13*n**2\/2 - 8*n - 6. Let l be h(-7). Let i = l - 35. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 382\/11 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:08 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = -1. Let d(j) = -4*j**2 - 8*j**3 - 7*j + v + 1 + 9*j**3. What is d(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/12))**(2\/39)\/(s**(1\/5)\/((s**(2\/51)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-23003\/19890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-7) - (-385)\/(-392)) + 1. Let g = 0 - 0. What is the nearest to g in 4, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 59*y**2 + y - 1. Let z be n(-1). Suppose 7*f - 4*f = z. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 62. What is the remainder when 59 is divided by c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 4*o**3 + o + 3 + 0*o**3 + 5*o**2 + 0*o**4 - 3*o**2 - 8*o**3 to g*o**3 + a*o**4 + j + i*o**2 + p*o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17427645 (base 8) in base 4?\nAnswer: 33202332211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 + 1671*k - 364. Let r(v) = -2*v**2 - 418*v + 84. Let z(i) = 3*j(i) + 13*r(i). Find h such that z(h) = 0.\nAnswer: 0, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**4\/3 - 11*n. Let p(r) = 13*r. Determine w(p(o)).\nAnswer: -676*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(40\/(-50)) + -5. Put -2, o, 3, 32 in descending order.\nAnswer: 32, 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121624, 121616, 121602, 121582, 121556, 121524?\nAnswer: 121486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4 + 52*a**3 + 2742*a**2 + 24248*a + 21560 = 0.\nAnswer: -14, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 261 + 7*t - 8 + 27 + 72 as z*t + n and give n.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l*l**(-3\/4)*l*l**(-1\/3)*((l*((l**1\/l)\/l)\/l*l*l*l)\/l)**(-34)*(l*l**6*(l\/l**4)\/l*l*l)\/(l*l**(-5\/3)*l*l*l**(-3\/4)) assuming l is positive.\nAnswer: l**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from llb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1 + 0)\/1. Suppose m + a*m = 60. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46, 26, -80, -344, -838?\n\"Answer: -12*d**3 + 29*d**2 - 23*d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*n - 50 = -3*n, -n = 1. Let o(v) = -b*v**2 + v**2 - 2*v**2 - 3*v**2. Let w(r) = -r**2 + 2. Let a(s) = 1. Let p(c) = 2*a(c) - w(c). Give p(o(k)).\nAnswer: 225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25591 divided by -928\nAnswer: 25591\/928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 7. Suppose -4*h = -t*h + 116. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2\/2 - 26*y - 8. Let p be n(-12). Let g(l) = -l**2 - 16*l - 10. Calculate the smallest common multiple of 16 and g(p).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (16 - (-19 - -28) - 12 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i = 65*i - 30. Let f(z) = 2*z - 2. Give f(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, u: 1}. What is prob of picking 1 u and 3 y?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22aa1a (base 12) to base 4.\nAnswer: 2020030312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 13*b - 23253 = 0, -17*l + 14*l - 13929 = -4*b. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20318015 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**14)*n*n**(10\/11) assuming n is positive.\nAnswer: n**(-133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*g + 90. Let p(n) = 5*n + 2. What is the remainder when g is divided by p(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.233?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 958, 1\/6, 1\/4, 2, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i - 9. Let n(g) be the first derivative of 7*g**2 + 8*g + 1649. Calculate 5*k(w) + 6*n(w).\nAnswer: 9*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427878 is divided by 398.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13934, -23023, -32112, -41201, -50290, -59379?\nAnswer: -68468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324 + 329. Let g(z) = -3*z + 3*z**2 - 8 + 2*z**2 - 4*z**2. Let t be g(v). Solve o = -k - t, -o - 3*k - 1 - 5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k. Let s(z) = -239*z + 45. Give r(s(d)).\nAnswer: 1195*d - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 8542*d + 12 + 20 - 49 to the form b + g*d and give g.\nAnswer: 8542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.2152369 rounded to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(11*(-644)\/(-2024))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*j - 1620, 2*h - 3*j + 1635 = -0*j. Let g = -12187\/15 - h. Let r = -2\/15 + g. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Which is the biggest value? (a) -2 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3493 is divided by 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 3821*t + 380732. Determine k(-113).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 10 + 0)*(-3*q**4 - 147*q**3 - q**2 + 147*q**3) - q**3 + q**3 - q**4.\nAnswer: 53*q**4 + 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13137 - 7342629.\nAnswer: -7329492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((35\/(-2))\/5)\/((-273)\/195))\/(-7)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.700052 + -1.7. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39603 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 19*p**2 + 20*p + 48. Calculate the smallest common multiple of m(-20) and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354805?\nAnswer: 5, 11, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.653 times -5531?\nAnswer: 42328.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415414 - -5?\nAnswer: 415423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65026 is divided by 60?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2 - 27*l - 7. Let k be b(-16). Suppose -f = k - 64. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7889 (base 11) to base 9\nAnswer: -15215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -9, 0.144, -3, -2\/7, -2 in decreasing order.\nAnswer: 3\/5, 0.144, -2\/7, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006 at least 6008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g**3 - 7*g**2 - 7*g - 10. Let a(d) = -4*d**3 - 2*d**2 - 2*d - 3. Let k(s) = -43*s - 346. Let x be k(-8). Determine x*w(o) + 7*a(o).\nAnswer: -4*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-11) + 7192\/8866.\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c + 114*c = 56138656. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238524 divided by -19877.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 93?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38 - 0\/1) + -4. Let x = c - -65. Let t = 30 + x. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/39*-3 + 1936 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(2\/5)*o*o)**(-1\/9)*(o\/o**(-4\/7))\/(o\/o**10) assuming o is positive.\nAnswer: o**(349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2\/17, -3\/2, -1\/49, -0.2 in descending order.\nAnswer: 16, -1\/49, -2\/17, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4*(-2)\/((-768)\/138) and -121\/234.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - 3*z + 3. Let s be l(1). What is the smallest common multiple of 95\/20*(4 + s) and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/8 - 881*w**4\/8 + 180931*w**3\/8 + 7342545*w**2\/8 - 77169708*w - 5651089983\/2 = 0.\nAnswer: -42, 63, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4198 = -168*b + 472*b + 11610 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 * -4.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let z(v) be the second derivative of 0 - 27\/2*v**2 - 1\/4*v**4 + 23\/6*v**3 - 4*v. Let u(o) = -5*q(o) - z(o). Determine i so that u(i) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-4) + 2\/8. Let j = 6 + i. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**7\/70 - 2*c**3\/3 + 2*c**2 + 2. Let o(s) be the second derivative of u(s). What is the derivative of o(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -860, -886, -936, -1016, -1132, -1290?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*j + 245 = 0, 138 = 2*t + 2*j + 56. Calculate the remainder when 498 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**4 - 7*g**4 + 16*g**4 - g**2 - 4*g**3 - 5*g**3 in the form h*g**2 + t + q*g**3 + u*g**4 + b*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**(1\/41)\/g))\/g))**(-8\/3) assuming g is positive.\nAnswer: g**(-8\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 + 99960*n + 99956 = 0. What is n?\nAnswer: -24989, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -3aaf3?\nAnswer: 3aae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/800 and 23 - 18 - 403\/80?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g**2 + 2*g - 2. Let w(t) = -t + 1. Calculate -l(c) - 2*w(c).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4752)\/198 - 12\/(-2)*(-11)\/((-154)\/21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2254 = -11274\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1.48, 6, 5, -37.8, -4 in decreasing order.\nAnswer: 6, 5, 1.48, -1\/4, -4, -37.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (11\/5 - 1). Suppose 4*s = -2*h - 10, 10 = s - 3*h + h. Let f = 3 + -1. What is the closest to -1 in f, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*y + 907555*m**2*y - 73*y + 37884 with respect to m.\nAnswer: -3*m**2*y + 1815110*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031132232 - 0?\nAnswer: 1031132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*m + 12 = 0, -l - l - 22626*m = -22621*m - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66294?\nAnswer: 2, 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6) - (-12810)\/36 - -2. Let h = -141 + t. What are the prime factors of h?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 9*u - 246, -5*r + 3*u - 6*u - 5268 + 5490 = 0 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1*2*(-3)\/3)\/((-5)\/55)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -481 take away -12?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76280 and 180?\nAnswer: 686520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-375)\/(-250))\/((-2)\/4). Let y = -8.9 - 0.1. Let n = y + 4. Which is the closest to -3? (a) n (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-632)\/(-237) + 345\/(-18))\/(4\/(-8))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 1348 = -1339. Do h and 2\/54703 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.2279734 microseconds?\nAnswer: 0.0000000002341200625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.5 - 33.628. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1342 + -5413\/4. Let l be (78\/696 + -2)\/(7\/(-22)). Let j = 21\/58 - l. Find the common denominator of p and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + -2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/6*-2)\/(11\/(-110)) and 892.\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 11675 + 5797 = -333*a for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 525 - 1.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-10*1 + 204\/20) + -16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -1 + 15 + -3 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1327360 and -121\/216?\nAnswer: 35838720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -519 + 589. Let g(q) = 2*q - 6. Calculate the lowest common multiple of o and g(5).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -573*k**3*t - 66*k**3 - 35*k**2*t - k*t + 2*t - 1983 wrt t?\nAnswer: -573*k**3 - 35*k**2 - k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37906 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z. Let v(b) = 92*b**3 - 3*b. Determine 3*d(y) + v(y).\nAnswer: 95*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 972 and 1667466?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 - 23*y**3 + 13*y**3 - 21*y**3.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34696 by -4337.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/((-4 + 2)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -175.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*c**2 - 479*c**2 + 881*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (5 + sqrt(1100) + 3))**2 + 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 v when four letters picked without replacement from nsvnnonvsnvy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -232, -1174, -2754, -4984, -7876, -11442, -15694?\n\"Answer: -2*x**3 - 307*x**2 - 7*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n - 136*n - 100 = 4*d - 4, -4*d + 2*n - 46 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*c - 3 = 0, 3*d + 2*c = 5 - 14. Let n be (2\/1)\/((-1)\/d). Let m(w) = -5 - 7*w + n + 5*w. Give m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 12. Let k be f(5). Calculate the remainder when ((-1998)\/45)\/(k\/(-5)) is divided by 2 + ((-144)\/(-4) - 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.01779, 98, 11, 2\/3?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 173. Let o be -1 + (s\/(-25))\/(-3). Factor -1\/5*h**5 + 0*h**2 + 0*h**4 - 1\/5*h + o*h**3 + 0.\nAnswer: -h*(h - 1)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114947014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2116*0.2.\nAnswer: -0.04232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 28 - 0. Let h be 2\/o - 16162802\/7. Let n = h - -4308972. What is n rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9*-6 - (-4 + 2). Let l(d) = d**3 + 2*d + d - 2 - d**2 + 0 + n*d**2. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 9*h + 4 + 9)*((0 - 1 + 2)*(6*h + 87 - 87) - 5*h + 4*h + 0*h).\nAnswer: -10*h**2 + 65*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.6*-10\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 5. Let t be r(5). Let i = -122 - -65. Let y = -45 - i. Is y greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 991 = -5*u + 2*a, 4*u - 2*a - 772 = 0. What is the highest common factor of u and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1604941 (base 13) in base 2?\nAnswer: -11010111100110101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35018717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.20726945+1\nAnswer: 4.20726945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 146\/2 + 9 + -6. Calculate the greatest common factor of 38 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o - 8. Let l = 4 + -11. What are the prime factors of u(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350019 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64424 - 64424 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156912 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725 + 8*l**2 - 2264 + 1539 - 13*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 - 7*q + 4. Let m(a) = -17*a**2 + 15*a - 8. Let w(f) = -2*m(f) - 5*u(f). Suppose 5*j + 1 = h, 5*h + 5*j + 11 - 46 = 0. Determine w(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2919 divided by 3.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 12. What are the prime factors of s(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3198 * 99.\nAnswer: 229.6602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-84))\/((-40)\/48).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 915632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 511234, 511233, 511232, 511231, 511230, 511229?\n\"Answer: -b + 511235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -8. What is the third derivative of -81*f**5 - 6 + 16*f**5 + 41 - f**2 - 25*f**a wrt f?\nAnswer: -5400*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -43, 3 in increasing order.\nAnswer: -43, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*4*(sqrt(325) + (sqrt(325) - (sqrt(325) + sqrt(325) + 1 + 0 + sqrt(325)))))**2.\nAnswer: 10240*sqrt(13) + 333824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.379 - -0.221. Round q to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*c - 350, -c + 4*g - 94 = 7*g. Let r = c - -60. Let o = r + 36. Is o != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12673*k**2 + 17848*k.\nAnswer: -25346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*r + 676, -2*r + 3*r = n - 136. Let q = 292 + r. What is the remainder when q is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4009230*a*f**3 + a*f - 1077967*f**2 wrt f.\nAnswer: 24055380*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - o + 6*o + 415, -y - o = -77. Suppose -531*g = -492*g - 5031. Let q = g - y. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-12)\/(-16). Let q = -4 + 4.4. Which is the nearest to o? (a) -0.3 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - (0 - (-90)\/(-12)). Let r be 760\/56 + 3\/w. Is 24 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*n + 2*u - 2, n - u = 0. Differentiate -10*i**3 + 85 - n*i + 0*i - 8*i**3 - 3*i**3 with respect to i.\nAnswer: -63*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 8*w - 4. Let k be 1 + (-3 - -4)*5. Does 13 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 minus -34714078?\nAnswer: 34714196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -5 - (-48 - (11 + -80)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(2\/2))\/(3 - 2). Which is greater: a or -1\/234?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 61*m + 970. Give r(30).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*v + y, 3*v = -v - 3*y - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56808 and 820989?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 19513?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27436 or 27420?\nAnswer: 27420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 6833484?\nAnswer: 6833484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 less than -27.58372?\nAnswer: -27.45572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*l + y, 0 = 3*l - 5*y + 3*y + 11. Let a = 1 - l. Let k(d) = d**3 - 5*d**2 + d - 2. Let g be k(a). Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2) + (-1)\/(-1). What is the smallest common multiple of (-5*6)\/(-3) - -1 and (6\/f)\/(1\/4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*f + 98*f - 9 - 189. Sort -48, -2, f, 1 in decreasing order.\nAnswer: f, 1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(2*j**2 - j**2 + j**2) - 62*j**2 - 50*j + 3 + 104*j**2 - 40*j**2.\nAnswer: -4*j**2 - 50*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*c - 7 = -99, -c + 138 = 3*l. What is the highest common factor of l and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-12))\/g**2)\/(g**18*g*g**(-14)\/g))**(-38) assuming g is positive.\nAnswer: g**646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 14\/(-119) - 111441\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1209\/16 + 14157\/80. Let q = 101 - h. Let n = -0.11 - 4.89. What is the closest to 1 in -2\/3, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(133)*1)\/(-5*sqrt(112)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + v)*(81*v**3 - 106*v**3 + 61*v**3) + 0*v + 3*v**4 - v**4 - v in the form u*v**2 + k + d*v**3 + h*v**4 + o*v and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.269 + -0.3606. Let q = i + 0.1. What is q rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, a: 1, i: 1, y: 2, u: 3}. Give prob of sequence yau.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5864*u - 2933*u - 11 - 2926*u.\nAnswer: 5*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from {k: 3, n: 1, y: 3, x: 5, v: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 442064871 + -1288619111332\/2915. Let f = -141652\/4727335 - 4\/17839. Let j = i + f. What is the common denominator of -31\/11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9281 (base 12) in base 9?\nAnswer: -23767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 397768578 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8187 - -8197. What is the fourth smallest value in 0.5, 4, -2\/9, o, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 + 254 + (-8)\/(3808\/15211).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2210, 2379, 2660, 3047, 3534?\n\"Answer: -o**3 + 62*o**2 - 10*o + 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -127976.076 rounded to the nearest 100?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjjwrjqrwjjjwjq. What is prob of sequence jq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 4. Give t(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 219\/442?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*j + 9 = -51, -j = -4. Let v be (-6)\/9 + (-23)\/i - 1. Factor 1\/2*z**3 + 0*z**2 - 1\/2*z + v - 1\/4*z**4.\nAnswer: -(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322545297*x**3 - 10153832*x**2 wrt x?\nAnswer: -1935271782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(2 + sqrt(405) + 0) - (-6*(sqrt(405) + -3 + sqrt(405)) - (6*(-1 + sqrt(405)) + sqrt(405))))**2 + 5.\nAnswer: -7920*sqrt(5) + 50610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 821 + 807 = 0. Sort -1, 6, z in decreasing order.\nAnswer: 6, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/240 - 39*w**5\/40 + 2614*w**2. Factor s(j).\nAnswer: -j**2*(j + 117)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324937103 + -21.07?\nAnswer: 324937081.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18572\/5 - 3769. Suppose -286 = 4*y + 5*x, -509*x + 514*x - 254 = 6*y. Is c less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5*10\/12)\/((-102)\/408).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.327 to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 2 (c) -8 (d) -2\/11 (e) -0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -515. Let j = -69 + q. Calculate the highest common divisor of 51 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2518394 and 64\/2845.\nAnswer: 12591970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21636628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 605 and -25384.\nAnswer: -24779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z)**(-26)*((z*z**1)\/z)**28)**(-6\/23) assuming z is positive.\nAnswer: z**(-480\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = l + 2*l. Solve 15*p - 12*p + 12 = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(((-6)\/57)\/(-1)). Let f = p + 75. Let q = -37 - f. What is the least common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -30*o + 32. Calculate l(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008518 to four dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 862677876*o**5 - o**2 - 435620466*o wrt o?\nAnswer: 51760672560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*m - 30 = 0, -10*m - 12 = -6*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -4143153140?\nAnswer: -4143153145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1410.92, -1, 5?\nAnswer: -1410.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 53?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 + -79. Let l(o) = -6*o**3 + o**2 + 2*o - 2. Let x be l(k). Calculate the greatest common divisor of 368 and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -39256770?\nAnswer: 39256773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h**2 + 3*h**4 - 5*h**4 + 2*h**3 + 0*h**4 as t*h + p + x*h**2 + l*h**3 + g*h**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65947\/3 + -21983. What is the nearest to j in 2\/49, 48, 0.4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fghii. What is prob of sequence figi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s**2 - s - 3. Calculate x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 27*o**2 - 30*o - 43. Let k be t(-28). Suppose 3*h - 15 = -10*i + k*i, -3*h + 4*i + 18 = 0. Solve -3*a = -a + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7110 and 790.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583436?\nAnswer: 2, 3, 127, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -327 (b) -3\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13338186 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603 and (81*5\/(-105))\/((-11)\/231).\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f**2. Let a(p) = -15*p**2. Calculate w(a(x)).\nAnswer: -3600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -4) + (-306)\/(-68)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 4:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1*4\/4 + 0). What is the nearest to 2 in 2\/13, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/11562 and -35\/6862?\nAnswer: 844026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*q + 30, -22 = 2*q + 3*i - 34 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/5))**36 assuming t is positive.\nAnswer: t**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 515 - 320. Let -35*v**4 - j*v**2 + 59*v**3 + 185*v**2 - 14*v**3 = 0. What is v?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124 (b) 1\/2 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37172*x**2 + 11*x**3 - 18583*x**2 - 18589*x**2.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 6*b - 20. Let g = -1005 + 1009. Calculate r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 22. Suppose u - 17 = -t. Let w be 4\/u + (-99)\/(-21). Solve x - 5*j - 12 = -x, -w*j - 4 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-10)*(-30)\/(-12). Let k(s) = s**3 - s**2 + s - 4. Let m be k(c). Find the second derivative of 73 - 73 + 9*i + 11*i**m wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 15 + 25)*(-1760 + 59*x**4 + 1760) to the form l*x**2 + u*x**3 + b + m*x**4 + h*x and give m.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/2 + 55\/34. Suppose 0 = u - 2*p + 1, -2*p = 3*u - u - 16. Which is the biggest value? (a) y (b) u (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3317563381, -3317563383, -3317563385, -3317563387?\n\"Answer: -2*o - 3317563379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186228\/14780)\/((2\/(-5))\/(-2))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37417, -74466, -111157, -147496, -183489, -219142?\nAnswer: -254461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 - -88) + 0 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2 + ((-136)\/(-8) - 26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(1\/(-3)*-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695743*y**2 - 695743*y**2 - 35*y**3.\nAnswer: -35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. What is the second derivative of -f + t*f + 6*f**4 - 7*f wrt f?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -1217)*(-4 - 157) - -1. Suppose -32*h - 35710 = -w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**24*i*i*i)\/(i**(3\/7)*i)*(i**(3\/8))**6 assuming i is positive.\nAnswer: i**(835\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + p**4 + 2*p**4)*(0 - 4 + 2)*(0*p + p - 5*p)*(-1 + 1 + 2).\nAnswer: -32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222*992104.\nAnswer: -220247088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 - 78 = -o, -5*y = 3*o - 249. Suppose 82*t = o*t - 48. Calculate the remainder when t is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, e: 6, n: 1, v: 7}. Give prob of picking 1 e and 1 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 5. Let n(z) = -31*z**2 - 395*z - 260. Let r(d) = 6*d**2 + 79*d + 52. Let o(q) = -2*n(q) - 11*r(q). Let h be o(-19). Calculate s(h).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2*j - 3. Calculate i(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.261 - -0.239. Let o be 14\/(-60) - (-2)\/6. What is the second smallest value in h, -11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/14*d**7 + 0*d**2 + 0 + 0*d**3 + 0*d**6 + 0*d**5 + d + 1\/4*d**4. Find the third derivative of z(m) wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:14 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4 - 3*g**2 + 5*g - 1100. Let v(h) = 3*h**3 - 6*h + 4. What is 5*v(f) - 4*x(f)?\nAnswer: -f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 56 - -118) + 2 + -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152825896?\nAnswer: 2, 2399, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30499966*k**3 - 79918578*k?\nAnswer: 182999796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 26*t**2 - 16*t + 29. Is r(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 7. Let r(t) = 65*t + 245. Let n(o) = -35*k(o) + r(o). Let b(f) = 30*f**2 + 1. What is n(b(u))?\nAnswer: -150*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = r. Let k be 4*4\/r*(2 + 0). Solve -k = 2*t + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-66 + 74 - (-1 - -13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10524 and -49\/636.\nAnswer: 557772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7228654.\nAnswer: 2, 271, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4 - 16, -3*c - 4*s + 5135 = 0. List the prime factors of c.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. What is the units digit of (7\/(-21))\/(w\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1892 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -112 (c) -1 (d) 4\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/1911 - (-3 + 2485\/(-546)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11345? (a) 5 (b) -427 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 2}. Give prob of sequence rrro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-20) + (-478)\/(-8). Suppose 45 = 5*d - m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 3. Let v(z) = 1. Let r(k) = -j(k) + 2*v(k). Let n(u) = u - 2. Suppose 10*i = 7*i + 15. Determine i*n(o) + 2*r(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {x: 2, n: 6, a: 2, m: 1, v: 1, h: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 4.2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m + 4. Let t be l(4). Let x(y) = -y**2 - y + 10. What is the remainder when 67 is divided by x(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**2 + 10*n - 10. Let a(l) = -l**2 - l + 1. Let d(m) = 10*a(m) + x(m). Let k = -2 + 2. Let z(w) = 3*w + k*w + 0*w. Determine d(z(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -12 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6372 = 17*l + 6865 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.777611?\nAnswer: 0.1555222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9125646923\/48 + -190109228. Let x = 11358 + -19773. Let g = r + x. Calculate the common denominator of 55\/8 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -48004092765\nAnswer: -48004092764.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-144))\/((-10)\/28)*60\/5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1186708 + 91377938\/77. Let w = z - 128\/7. Sort -0.5, 1, w, -1.3 in decreasing order.\nAnswer: 1, w, -0.5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 + 9*o + 13. Give y(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 5, -1, -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 25. Suppose -3*j + f + 28 = 0, 53*j - 58*j = 5*f - 80. What is m(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 220*l + 1517. Give u(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 7*q**4\/4 - q**3\/3 + q**2 - q + 9. Suppose i + 5*k = -19, -2*k + 3*k = -2*i - 2. Give w(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 4\/3 (c) 3 (d) 1 (e) -306389.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l + 1. Let r be y(-1). Find the third derivative of -r*x**2 - 5*x**5 - 3*x**5 + x**5 + 16*x**2 wrt x.\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 4 in descending order.\nAnswer: 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(18\/33)\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12306 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11100402 (base 5) to base 15\nAnswer: -1db02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 52. Let x be l(-8). Suppose 5*s + c = 64, 3*s - x*s + c = -14. What is the third derivative of -8848*b + 26*b**6 + 8848*b + s*b**2 wrt b?\nAnswer: 3120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1808*a**3 + 56*a + 2*a**2 + 14*a - 119*a**5 - 1808*a**3 wrt a?\nAnswer: -7140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3)*g*g*g**(-1\/15)\/g)**(-1\/9)\/((g**(5\/4)*g**(2\/3))\/((g*g**(3\/5)*g)\/(g\/(g\/g**(1\/2))))) assuming g is positive.\nAnswer: g**(163\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1712\/642)\/((-2)\/(-30)*4\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 4 + sqrt(44) + -2 + sqrt(44) + (sqrt(66)\/sqrt(54) - (1 + sqrt(22)\/sqrt(2) + sqrt(11))))**2 + -3.\nAnswer: 26*sqrt(11)\/3 + 1841\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222805*s**3 - 199763*s**2 wrt s?\nAnswer: -1336830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*500\/200*8\/10?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39785370 divided by 3\nAnswer: -13261790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, -1\/21, 48, 320, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 + 204*g - 24276.\nAnswer: -3*(g - 238)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*a + 6*k - 28, 3*a + 2*k = 21. Suppose n + 3*d - 32 - 3 = 0, 2*d - 54 = -2*n. Let w = n - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o**5 + 42*o - 1 + 71*o - 70*o**5 + 6. Let p(i) = i**5 + i - 1. Let k(x) = l(x) + 5*p(x). What is the second derivative of k(q) wrt q?\nAnswer: -1600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*q = -5*j + 7, -2*j - 4*q + 22 = 0. Find n, given that n**3 + 2*n - 2*n**2 - 5*n**3 + n**4 + 2*n**j + n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4285 = -3*q, 1 = 3*q - 8. Suppose 0 = 4*r + 3*g - 2141, 2*r + 5*g = -2*r + h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374399303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 12*v - 195. Let t(z) = -9 + v*z - 2*z - 11*z - 8. Determine t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -0.3\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 10*j - 12. Suppose -8 = -5*c + 32. Let h be d(c). Find the first derivative of 6 - h + 12*n + 8 + 6 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -64*k**3 - 17795*k**2 - 839*k - 1389. Determine f(-278).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13519 - -13987. What is the smallest common multiple of 3 and m?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {v: 2, d: 4, x: 2, l: 1, k: 1, c: 7}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -7468?\nAnswer: 22404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*y - 10, 2*s + 0*s = -4*y - 4. What is the common denominator of y\/(-10) - 118\/(-35) and 49\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 - 25*i**2 - 220*i - 300 = 0.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52629 + -52545.746. What is y rounded to 0 dps?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {a: 1, w: 5, x: 1, l: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1011100 (base 2) to base 7\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 8. Let d be t(-7). Let s = -12 - d. Solve -2*c - 3 - s = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.2. Let y = w - 0.2. Let j = 4.1 - 4. What is the nearest to y in -4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*u + 4 = 0, -2 - 8 = 5*u. Suppose 4*i = h + 203, r*i - 2*i - 38 = -4*h. What is the remainder when i is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8605102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-m + m - 2*m)*(-1 - 1 + 5) + 3*m - 6*m + m + 4 - m - 4)*(2*m**2 + 0*m**2 + 2*m**3 + 4*m**2) as p*m**4 + r*m**2 + t*m**3 + w + h*m and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (2*sqrt(143) - sqrt(143)))*4 - (sqrt(143) + (sqrt(143) - (-1*sqrt(143) - sqrt(143)))*1 + sqrt(143)))\/(-1*sqrt(22)\/(sqrt(2)*2)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -543 - -541. Is l greater than -1.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s*s**(-18))\/s)\/(s**(16\/3)*s) assuming s is positive.\nAnswer: s**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 10. Let v(d) = -d + 5. Let g(j) = 3*i(j) + 5*v(j). Let x(k) = -1. Let o(p) = 2*p - 4 + 3 + 2*p. Let n be o(-1). Calculate n*x(r) + g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 281637841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536580616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180631359?\nAnswer: 3, 149, 134699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*(s*s\/((s\/s**1)\/s))\/s)\/((s**(-1\/3)\/s)\/s*(s\/(s*s**(-11)*s))\/s))**(-8) assuming s is positive.\nAnswer: s**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-17)*(-2)\/(20\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 28771*h - 28771*h - 1132*h**3.\nAnswer: -1132*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 385595.086 to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 57*g + 5. Let q(u) = 1139*u + 102. Let b(f) = -119*n(f) + 6*q(f). Find the first derivative of b(o) wrt o.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 9*c + 3375000 = 0. What is c rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)\/(u\/(u*(u\/(u\/(u**(-28)\/u)))\/u)))\/(u**(-4)\/u)**(-18\/5) assuming u is positive.\nAnswer: u**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5702*u + 5297*u - 3645 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, b: 3, r: 2}. Give prob of picking 1 r and 2 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -248.\nAnswer: 5\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, w: 1, q: 3, b: 1, u: 12}. Give prob of sequence uw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 10426771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/233, -1?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400334 and 29588322.\nAnswer: 325471542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 9*g - 5. Let i(h) be the third derivative of -h**5\/30 + 5*h**4\/12 + h**3 - 13*h**2. Determine -5*i(t) - 6*v(t).\nAnswer: -2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12102021 (base 4) to base 12\nAnswer: -12a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/364 and 2\/(-28)*38 - (104\/(-32) + 4).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 5*g**2 - 90*g + 528. Let j be q(8). Which is the second biggest value? (a) 516 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = w - 2*m, 2*w - 5*m = 5*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*p**5 + 15\/2*p - 9 - 9*p**3 - 3*p**4 + 12*p**2 = 0. Calculate p.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*s**2*v**2 + 9*s**2 - 29070*s*v - 4222*v**2 wrt v.\nAnswer: -118*s**2 - 8444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5522395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q, -u + 5*u = 3*q - 183. Let h = u + 43. Let o be 9 - (h - -3) - (1 + 2). Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(12\/108). Let h(a) = -4*a**3 - 4*a**2 + 59*a + 118. Let m be h(-2). Solve j*s + 4*k - 6 = -m, -20 = -2*s + 4*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -64. Let f = 32.4 - m. Let l = f - 0.4. Sort -0.4, -2, l.\nAnswer: -2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i - 361 - 60*i - i**2 + 27*i.\nAnswer: -(i + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 303878.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 17 - -1 - (-64 + 56).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 444?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u + 3. Let a be c(-3). Suppose -h + p = 2*h + 31, 2*h - 3*p = -23. Let t be 282\/7 + h\/35. Solve -a = -2*o + 3*i, 8*o - 5*i - t = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g + 7. What is the highest common divisor of g and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-384)\/80)\/(-8))\/(-9*2\/(-40)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, q: 3, a: 1, u: 6, k: 1}. What is prob of picking 1 n, 2 u, and 1 a?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27209*g**2*u**3 + 110613*g**2*u**2*z**2 - 4*g**2*u**2*z + 3*g*u**3*z - 2*g*u*z + 16*u**3*z**2 + u**2 wrt z?\nAnswer: 221226*g**2*u**2 + 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326*b**2*k**3 + 79*b*k**3 - 140453*k**3 wrt b?\nAnswer: -652*b*k**3 + 79*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533996391 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*z. Let n be 2\/(32\/(-12) + z). Let q be -3*((-6 - n) + 2). Solve -q*l - l = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-3) + (-2)\/(-1). Let v be (-8 - g) + 38\/14. Which is bigger: v or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65c7b8 (base 15) to base 4.\nAnswer: -102200132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12972111 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 6*b - 21. Let l be j(10). Let k(i) = l + 2*i - 119. Let q(v) = 3*v**2 + 2 - 2. Determine q(k(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247 - 238. Suppose -3*m + 3*v - 5*v = -96, 3*v - h = 0. Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 7*n**4\/6 + n**3\/2 - 3*n. What is the second derivative of v(s) wrt s?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**5 + i**2 - 192*i - 1.\nAnswer: 440*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3821, -7889, -11959, -16031, -20105, -24181, -28259?\nAnswer: -32339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 9*q. Let x be t(-4). Suppose 6455 = 5*g + a, x*a - 2*a - 2582 = -2*g. Let y = 16837\/13 - g. Calculate the common denominator of y and 14\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*d + 36. Solve 4*w + 3*o - 32 = -0*w, d*w = -5*o + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99526139 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -79, 237, 553, 869, 1185, 1501?\n\"Answer: 316*d - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 23*i + 7*i + (-5 + 2 + 2)*(0*i + 0*i + i) + 2*i - 5*i + i + (2 - 1 + 1)*(0*i + 6*i - 4*i) to n + q*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22445863 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*t + 26292 = -166*t + 37859 + 54215 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*(x\/(x**(-1)*x))\/x)\/((x**4\/x)\/x*x*x**(-2\/15)) assuming x is positive.\nAnswer: x**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r + 8 = 0. Let a be 208 - (0 - 0\/((-16)\/r)). Suppose 4*g - 129 + 25 = 0. What is the greatest common divisor of a and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 m when three letters picked without replacement from muuutuuvutuuuuuul?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2180 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50830 = 34*m - 21*m. Let h = 10689 - m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 48*w**2 - 4892*w - 117. Calculate t(98).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(75)*1.\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79924404 and 47425?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3294 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 3. Let o = 5 + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26*b + 5. Give y(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 2*l - 4*l)*(-2*l + 3 - 3) - 12 + 12 - 4*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/91 and 101\/10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87409188.\nAnswer: 2, 3, 2428033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from qhqsqshqhhs?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 2*j**2 + 1. Let f be (0 - (-3 + -1)) + -3. Let c be p(f). Solve -c*q + 1 = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 138?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + (-56)\/(-3). Suppose 18 = -4*c + 26. Calculate the greatest common divisor of c and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 6*b + 3*b + (-b + 2 - 2)*(-1 + 0 - 1) - 2*b + 0*b + b + b - 2*b + 2*b - 7*b + 4*b + 2*b - 5*b + 3*b - 10*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 398873497 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 582*d**2 + 36*d - 18. Let n(j) = 149 - 297 - 166*j**2 + 153 - 10*j. Let m(p) = 5*a(p) + 18*n(p). Let b(h) = -2*h. Give b(m(v)).\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14 + 6130*v - 3059*v + 115*v**2 - 3066*v. What are the prime factors of u(4)?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10221413 + -2120?\nAnswer: 10214243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 179 + 37 = s. Calculate the lowest common multiple of 30 and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3398*z**3 - 55 wrt z.\nAnswer: 10194*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let l be -3 - -23*(-5)\/(-35). What is the closest to 1\/3 in l, o, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 1 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/12 + 1\/6. Let z = -1.9 - -2. Let s = 9 - 6. What is the biggest value in z, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.623 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60481673.\nAnswer: 7, 211, 40949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22879*a + 251685. What is l(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196719 is divided by 3196621?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*m + 7536 + 8263 = 161*m for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. Let u = 8 - 8. Let j = 0.2 + u. What is the nearest to 4 in j, -3\/5, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 179*y**2. Let d(l) = -19512*l**2. Calculate d(h(x)).\nAnswer: -625183992*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose 2*w = f*q - 23, 2*q - 3 = q + 2*w. Let m = 0 + 4. Sort q, -5, m in ascending order.\nAnswer: -5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157887547918489 + -157887560637666.9999918. Let i = a - -12719143. Let l = i + 35. What is l rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from zzzeteeet.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = -0*f - 4*f, -2*f + 3*l = 11. Put 0, -2, f, 5 in descending order.\nAnswer: 5, 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2)\/(-14 + (2 - -11)). Put b, 5, 14 in increasing order.\nAnswer: b, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 31*k**2 - 262*k + 477. Calculate c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24239 + -8 + (-15 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4506 - -4479. Let y be 206\/(-6) - 4\/6. Let j = n - y. Solve 5*l - l = -j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12939 and 31326.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/(-25) + (-10)\/(-25). Suppose o*p - 4 = p, -r = p - 126. Let s = r - 104. Calculate the remainder when 55 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) - -2*sqrt(300))*-4)\/((sqrt(1536)*1)\/(sqrt(16)\/(sqrt(4)*1))).\nAnswer: -45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 2}. Give prob of sequence cckk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/12 - b**5\/60 - b**4\/12 - b**3\/6 + 11*b**2 + 7. Suppose -8 = -r + 3*g, 14 = 3*r - 5*g + 2. Calculate v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131499899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35986 - 0.10956.\nAnswer: -35986.10956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/3, 1\/2, 101, 1\/4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 - -23. Let j = b - 180.99674. What is j rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2076 (base 12) in base 7?\nAnswer: -13224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/61, -5 in decreasing order.\nAnswer: 0.4, 1\/61, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38036527 is divided by 6080?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 15*b + 53. Let a be w(-5). Find the first derivative of 66*v**a + 116*v**3 - 5*v**2 + 46 + 96 + 5*v**2 wrt v.\nAnswer: 546*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/7 + 8580*i**3\/7 + 267454*i**2\/7 + 1936320*i\/7 - 2212352\/7 = 0.\nAnswer: -16, 1, 4321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/425 at most 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -276828*b + 276812. Determine h(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/66)\/((-177)\/(-649))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v - 10. Let f be g(1). Suppose 0 = 16*a - f*a - 9. Calculate the highest common factor of 49 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 3*n**2 - 2*n + 7. Let l be v(2). Let q(x) = -18*x**3. Calculate q(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = 8*f + 90 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02311922 rounded to five dps?\nAnswer: 0.02312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:25 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1676 - 4074?\nAnswer: -5772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4 + 46*a - 19*a - 28*a. What is k(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761126519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 5 + 2 + 2)*(-20*v + 123*v - v) - v + 3*v**2 - 3*v**2 + 14*v**3.\nAnswer: 116*v**3 - 103*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3066, 6189, 9462, 12987, 16866?\nAnswer: 21201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*w - 14, 7*h + w - 2 = 4*h. Suppose 0*z - 15 = -5*z, 10 = r + h*z. Suppose i - r = -1. Solve -5*s + i*x - 23 = 0, 4*x - x - 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4 - 12050*x**3 - 379575*x**2 + 2151350*x - 1759720 = 0.\nAnswer: -2378, -37, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123483837 to the power of 1\/2, to the nearest integer?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*(29\/(-87))\/(2\/30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700.5*-2.\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/20 + j**4\/4 - 3*j**2\/2 + 2*j. Let w = -9 - -2. Let h(l) = -l - 10. Let m be h(w). Calculate q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (6\/10 - (-8)\/(-5)). Suppose -3*l + 3 + 3 = d, -17 = -5*d - 2*l. Let u = -6 + 2. Sort u, d, p in descending order.\nAnswer: d, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503 + -70. Suppose 2*v - g = p, 0*v - v + 215 = -2*p. Suppose -4*m + 2*i - 3*i + v = 0, -275 = -5*m - 2*i. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1857 = -3*m, -2*w - 4*m = -5*m - 734. Let v = -76 + w. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 3. Let t be y(-5). Solve 3*c + 8 = 4*m, -4*c - t*m = -6*m + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.4188 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3913 and 175097?\nAnswer: 52704197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.6 * 201.5019.\nAnswer: -1934.41824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/(7\/(14\/(-12))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b**2 + b**5 - 2*b**5 - 13*b**2 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11456*i**2 + 8876*i + 5. Let p(l) = 2289*l**2 + 1775*l + 1. Let n(z) = 2*m(z) - 11*p(z). Find the second derivative of n(w) wrt w.\nAnswer: -4534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80033 + 28?\nAnswer: -80004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*f + c, 3 = 2*f - 3*c - 7. Suppose 5*r = 2*l - 39 - 74, l - 55 = f*r. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 82, 189, 348, 565, 846, 1197?\n\"Answer: y**3 + 17*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 22 = -5*g. Find the second derivative of g*w + 0*w - 3*w - 3*w**3 + w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + c**2 + 1 + ((-4*c**2 + 2*c**2 + 0*c**2)*(-4 + 2 - 1) + 0 + 0 - 3*c**2)*(-1 - 3 + 5).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165725 and 53725?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 1:13 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 507\/4*k**2 + 55 + 9\/4*k**3 + 166*k.\nAnswer: (k + 55)*(3*k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 21*n**2\/2 + 39*n + 38.\nAnswer: (n + 2)**2*(n + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79202 = -3*u + 3*h + 10537, h - 4 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 244874.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69132 and 1938165.\nAnswer: 54268620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 = 2*o. Let y(z) = z**3 - 5*z**2 + 6*z - 6. Let p be y(o). Let j(w) = -p*w - w + w. Let n(b) = -b**2. What is n(j(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6244?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14977 - 841 = 24*y. What are the prime factors of y?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*s**4 - 3333*s**3 - 42705*s**2 - 136731*s + 42630 = 0. Calculate s.\nAnswer: -145, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(0 - 3 + 12 + 2*c + (0 + 1 - 3)*(0*c + 2*c - 3*c)).\nAnswer: 4*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(2275\/(-14))*(-29)\/((-3451)\/170)\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 486 = -43*g. Suppose k - 4*k + 8 = -2*d, 3*k - 13 = d. What is the smallest common multiple of k and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-13 + -14 - -45) + 43?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3240 and 83\/7776.\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70180 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2387 - 16801. Suppose 9*h + 0*h - i = 0. What are the prime factors of h?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1638428, -1639039, -1639650, -1640261, -1640872, -1641483?\nAnswer: -1642094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 721 and 231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + v + 3*v)*(3 - 1 + 2)*(-1 + 1 + 2)*(-3 + 4 - 5)*(0 + 18 - 4) as a + z*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20594763 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*d**2 + 1 - 68*d**2 - 17*d**3 + 3*d to f*d + k*d**3 + i*d**2 + w and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 902\nAnswer: -4510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -845, -1695, -2549, -3407, -4269?\n\"Answer: -2*a**2 - 844*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/19430 and 62\/1305.\nAnswer: 174870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + -1. What is the remainder when 53 is divided by -2*r\/(-24)*-81?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-3)\/6*2. Let m be (28\/(-8))\/(x\/(-2)). Suppose v + 4 = t - m, 5*t - 69 = -2*v. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9358557*r**4 - 54411*r**2 + 2*r + 12 wrt r.\nAnswer: -224605368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 1 = -23*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/39, 2\/17, -2\/9, 8106, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3*u**5 - 197*u**3 + 197*u**3 - 2*u**5 + 4*u**5 - 3*u**5 + (-5*u + u + 2*u)*(3*u**2 - 3*u**2 + 2*u**4) - u**5 + 0*u**5 + 4*u**5)*(-1 - 6 + 1).\nAnswer: -6*u**5 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (1 - -5)) + (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 3*n**5\/80 + 3*n**4\/4 + 11*n**3\/8 + 24*n - 2. Factor s(a).\nAnswer: 3*a*(a + 1)*(a + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 3*i - 4138*i**3 + 3*i.\nAnswer: -4138*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -54, -47, -36, -21, -2, 21?\n\"Answer: 2*k**2 - 3*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/33 - (2 - (7 + 1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034 + 46 = 10*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**3 - 3*c - 3. Let r(s) = s**3 + s - 1. Let l(b) = h(b) + 5*r(b). Let z be l(0). Is z > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = r + 16, -22*j = 5*r - 26*j - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:18 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -10. Suppose -11*w + 12 = -13*w + 4. Let r(v) = -v - v - 3*v**2 + 0 + 3. Let b(y) = -10*y**2 - 7*y + 10. Calculate l*r(a) + w*b(a).\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, 1, -0.4 in ascending order.\nAnswer: -0.4, 1, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28) + 1)**2 - ((sqrt(196)\/sqrt(4))\/sqrt(7) - (-5 + sqrt(7) + 0)).\nAnswer: -16*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 518 + -518. Let f(t) be the second derivative of 0*t**2 + 0*t**3 + d + 4*t - 1\/6*t**4. Let j(w) = 3*w**2. What is f(j(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w + 1. Let d(m) = 492*m + 24. Let j(q) = 24*a(q) - d(q). Let l(s) = -13*s. Determine j(l(o)).\nAnswer: 780*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 + 13*w + 23. Calculate y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -25076?\nAnswer: -25061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*u - 273*u - 15 = 0, -u - 4 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 316\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -0.0233, -4, -0.4 in ascending order.\nAnswer: -6, -5, -4, -0.4, -0.0233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2775?\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) + 4 + -3. Suppose u - 5*u - 42 = -5*h, 2*h - 5*u - 27 = d. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2358 = -2*r + 2350 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose 0 = -3*j - 2*x + 16 + 4, i = j - 4*x - 2. Suppose 6 = 3*y, 3*y = 2*g + y - j. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -3, 29, -4 in ascending order.\nAnswer: -6, -4, -3, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 16. Suppose o + 3 = 4*p. What is the units digit of (-5024)\/(-44) + p\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 16*a - 20678 = 0. Let x = a - -453. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 17*o**2 - 2*o - 35. Let b be g(-17). Calculate the lowest common multiple of 84 and 68\/(-17) - b*11.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 573.1712 decades?\nAnswer: 5731.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 226*n\/3 + 7525\/3.\nAnswer: -(n + 25)*(3*n - 301)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 5794*r\/3.\nAnswer: r*(r + 5794)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5989 and 20882?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7568*d - 4554. Let u(n) = 30270*n - 18212. Let b(r) = -11*m(r) + 3*u(r). Differentiate b(a) wrt a.\nAnswer: 7562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z + 3. Let i be p(-3). Let w = 45 - 40. Solve -i*c - a = 14, -w*c + a = 2*a + 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 4 + 6 + 2*u**3 + 4 - 19 to f*u**2 + g*u + r*u**3 + s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3616 (base 12) to base 10\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*i + g - 23, 2*g = -3*i + 11. Let m = -79 - -81. Suppose -3*l + w = m*w - 60, -l = 2*w - 15. What is the greatest common factor of l and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 + 2*r - 3. Let s be n(-3). Let z(x) = x + s*x + x. Let c(d) = 8*d**2. Calculate z(c(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 16.98676.\nAnswer: -3.397352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/49 - 32\/539. Let p(x) = 6*x - x**2 + 4 + 5*x**2 - 3*x**2. Let i be p(-5). Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*y - 4092552 = -138*y - 10*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.2, 1.46, -6, -4\/11 in ascending order.\nAnswer: -6, -4\/11, -0.3, 0.2, 1.46, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020737289 to seven decimal places.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 + 0*v**4 + v**4 + (-3*v + 6*v - 5*v)*(-14*v + 9*v + 10*v)*(0*v**2 + 3*v**2 + v**2) as y + n*v + w*v**3 + j*v**2 + p*v**4 and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17360 and 63320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/9 + 2144*t**4\/9 + 3562*t**3\/3 + 17080*t**2\/9 + 8536*t\/9 = 0.\nAnswer: -1067, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 3648 = -3714. Let g be (-14)\/(-6) - (-2)\/3. Suppose 2*z = -g*z. Solve -3*w + 1 = 2*u + s, z = -5*u + w - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788268 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*4) + -3 + sqrt(19) + -4)**2.\nAnswer: -35*sqrt(19)\/2 + 1259\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0272475 rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37675623, 37675620, 37675617, 37675614, 37675611?\n\"Answer: -3*z + 37675626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 5*i + 950 - 901, 34*a - 4*i + 84 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 12*z**3 + 432*z**2\/5 - 1296*z\/5 + 1296\/5.\nAnswer: 3*(z - 6)**3*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26057*h**2*x**3 + 6*h**2*x - 601*h**2 wrt x?\nAnswer: 156342*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*16\/12 - 4. Suppose -4*f - 62 = u - 277, -2*u + 3*f + 452 = z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669337 is divided by 362.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -60*q**2 + 2*q - 32. Let a(h) = -62*h**2 + 3*h - 32. Determine -2*a(x) + 3*p(x).\nAnswer: -56*x**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -236 + (190 - 68) + 16\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m - 13. Calculate the remainder when 21\/m*38\/3 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(8)\/(sqrt(4)*1)*3)**2 - (5*(0 + sqrt(8)))**2*1) + 2.\nAnswer: -164 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 45*d**2 + 103*d + 920. Determine n(-43).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -13\/356787 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*s - 56*s - 191*s - 162*s to y*s + n and give y.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-4480)\/(-288))*(-12)\/(-9)*-145*1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223796110.\nAnswer: 2, 5, 223, 100357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 - 33*v + 196*v + 2*v**2 - 163*v.\nAnswer: 2*v**2 + 857","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 45108*m**2 + 10*m - 41. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 19. Let t(c) = 13*c**2 + 20*c. Calculate m(t(q)).\nAnswer: -13*q**2 - 20*q - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stjlllolhohh. What is prob of picking 1 o, 1 s, 1 j, and 1 l?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 6. Suppose 0 = -3*l - z + 27 + 72, -5*l + 165 = k*z. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/4 - 8*l**3\/3 - l**2\/2 - l - 4. Let f be c(8). Calculate the remainder when 73 is divided by 114\/f*(-9)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1950 divide 25110093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000696 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**2 - 1 + m - 2*m + 0. What is the first derivative of c(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**0)**(-7))**(-11\/4) assuming p is positive.\nAnswer: p**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c + 1. Let x(r) = -2*r**3 + 18*r**2 + 2*r + 11. Let n(a) = 3*t(a) + x(a). Does 9 divide n(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/3 - 3*f**2 - 124*f\/3 - 68 = 0?\nAnswer: -6, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.06721 - -0.04879. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111471\/34 + -6557\/2. Which is the third smallest value? (a) 13 (b) t (c) 0.3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -2. Solve 3*h - b - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29932 and 2?\nAnswer: 0.59864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 448 and -396?\nAnswer: -177408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 19*n**6\/15 + n**4\/6 - n**3 - 3*n - 37. What is the third derivative of j(r) wrt r?\nAnswer: 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136) + sqrt(136) + (sqrt(136) - sqrt(136)*-1)))\/(-4*sqrt(128)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -21*r**4 + 27*r - 99. Let k(i) = -13*i**4 + 10*i**4 - i + 7 + 5*i - 21. Let q(t) = -4*c(t) + 27*k(t). What is the derivative of q(z) wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6905*d*x**4 + 336*d*x**2 + 5021*d*x - 6*x**4 - 2156*x wrt x?\nAnswer: 82860*d*x**2 + 672*d - 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*13\/50*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*x + 41 - 899*x - 19 - 22.\nAnswer: -316*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 38*w**2 - 867*w - 152. What is i(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 10, 1, 602.\nAnswer: -38, 1, 10, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9540 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1721.0761 - -1675.0761577. Let g = -46 - l. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -33*i + 642. Let n be p(23). Which is the smallest value? (a) -2 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 48*u + 1365. Give n(-24).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.49403 rounded to 1 dp?\nAnswer: 194.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -540, -1300, -2448, -4032, -6100?\nAnswer: -8700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 16*h**2 - 7*h - 7. Let w(b) = -14*b**2 + 6*b + 6. Let o(s) = 6*i(s) + 7*w(s). Let a(l) = -238*l. Determine o(a(n)).\nAnswer: -113288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2658)\/(-126) - (-18)\/(-189). Solve -k = -6*o + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21623, 21664, 21703, 21740, 21775, 21808?\n\"Answer: -c**2 + 44*c + 21580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230632.12675 + -1272532.10245. Let t = y - -1041941.97570181. Let h = -42 + t. Round h to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006*-19.9538.\nAnswer: -0.1197228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134507?\nAnswer: 134507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.824 + -2.324. Which is the biggest value? (a) -18 (b) -33 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265 + 192 - 11316\/(-156)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71441467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21 + 79 = 0. Let h = i - 32. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3490)\/2094*3\/95?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.599+-6025531\nAnswer: -6025530.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 89?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12372 is divided by 4109.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 23 = 3*u + 2*u, 0 = -5*n + 4*u + 25. What is the closest to -1 in n, -0.8, 0?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(208))*-5 + 1*-3*sqrt(208) + sqrt(208) + -2 + sqrt(208) + 1)**2.\nAnswer: -432*sqrt(13) + 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 2. Suppose -31*t = -119 + 181. Calculate g(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981740679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 136258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.9?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15 - (-2 + 2\/2). Let z be (-20)\/9 + m\/72. Let p(x) = -2*x**3 - 2*x**2 + 2*x + 2. Calculate p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43.70546ug?\nAnswer: 0.00000004370546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oii when three letters picked without replacement from {i: 2, g: 4, o: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 47*c**2 - 7*c**2 + 34*c**2 + 73*c**2 + c**2 to l*c**3 + d*c + q + w*c**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f = 115 - 354 - 1693 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -23. Let y = -22.0000009 - a. Round y to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/480 + 29*l**5\/240 + 21*l**2\/2 + 35*l. Let i(g) be the first derivative of f(g). Solve i(u) = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94906 is divided by 2453.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666.5 take away -0.07993?\nAnswer: 6666.57993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/(-3) - (-3920)\/420?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457238949.\nAnswer: 11, 223385359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 3*z**2 - 10*z**2 + (-3175 + 23*z + 3175)*(-4*z + 4*z + z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from fpgtppnptgnnttnnnpt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0192311 + -0.0189. What is i rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -167, -177, -203, -251, -327, -437, -587?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 - 367*l - 109. What is p(42)?\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 59. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let j(c) = 2*c + 2. Let f be j(z). Is 7 a factor of (-1)\/(1\/14*f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -5. Let g = 0 - a. Let t = -32 - -59. Calculate the greatest common factor of g and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -153*s**7\/14 - s**3\/6 - 65*s**2\/2 - 13*s + 9. Find the second derivative of y(z) wrt z.\nAnswer: -9180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -49*p**3 + p**2 - 2*p + 1. Give t(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 664093 = -2*i, -8*n + 231440 = 5*i - 831116. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238? (a) 5 (b) -2\/7 (c) 66 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)\/(d*d**(-3\/10)) assuming d is positive.\nAnswer: d**(-73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 510*m - 184*m - 152*m.\nAnswer: 174*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/3 + 2767145*v**2\/2 - 9685017*v\/2 - 8301442\/3 = 0. Calculate v.\nAnswer: -4150721, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131473009?\nAnswer: 137, 929, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4139, 8280, 12421, 16562, 20703, 24844?\n\"Answer: 4141*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26803 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271413338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 11*j - 3. Let k(x) = -x**2 - 4*x - 1. Let n be 1\/(-6) - (-111)\/18. Let m be n\/14 + 732\/(-42). Give m*k(o) + 6*z(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 2*w + 4. Let d(j) = 3*j**2 + 2*j - 3. What is 6*d(p) + 7*q(p)?\nAnswer: -3*p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**3 + 331*q**3 + 1310*q**3.\nAnswer: 1602*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299 + 327. What is the greatest common factor of 154 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**2 + 20*v. Let f(b) = b + 2. Let p be f(5). Let s = 9 - p. Let x(z) = 22*z + 11 - 4*z**s - 29*z - 11. Determine 8*x(h) + 3*y(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158\/69 + 189\/115. Calculate the common denominator of 43\/54 and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*q + 66 = 26, -5*q + 22 + 6 = 6*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -8.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/8 + 19253*s\/4 - 115446 = 0.\nAnswer: 24, 38482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55110146 (base 8) to base 6.\nAnswer: -1101344250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, g: 2, v: 1, t: 1, w: 5}. Give prob of picking 1 v, 1 w, 1 g, and 1 t.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401493 is divided by 3959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*y + 2439, 8*a + 984 = 2*y + 3*a. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -8 (c) 2 (d) -0.4 (e) 0.0333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4721 is divided by 364.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 3*f**2 + 18*f - 51. Calculate m(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:19 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) -10 (b) 0.4 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7139, 27542, 61203, 108122?\n\"Answer: 6629*b**2 + 516*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10010434313 (base 5) to base 12\nAnswer: 3375330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52249 is divided by 12962.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33779 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55274921, 55274914, 55274907, 55274900, 55274893?\nAnswer: 55274886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 v when four letters picked without replacement from nnvnvnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11010000010111 (base 3) to base 5\nAnswer: -1024404112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 11. Factor 8*l**2 - 8*l**2 - 2*l**3 + s*l**2 - 6*l.\nAnswer: -2*l*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*f - 2*t, t = 5*f - 0*t + 132. Let j = f - -43. Calculate the greatest common divisor of 187 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.268 - -2176605.\nAnswer: 2176604.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 104823724 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (1 - 5) - (-323 - -312)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2188 divide 37115044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38603 is divided by 2019.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.74925 - 30.\nAnswer: -26.25075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -901, -881, -851, -811, -761, -701, -631?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 20*h - 4*n, 23*n - 82 = h + 15*n + 5*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 79*k + 3*k**2 - k**2 + 25.\nAnswer: 2*k**2 - 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/150 - 176\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/5 + 311514*z\/5 + 311512\/5 = 0.\nAnswer: -155756, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 1, z: 1, o: 1, x: 3, q: 6}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6339 divided by 3.\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b + b)*(2*b**4 + b - b) + (0 + b**3 + 0)*(3*b + b**2 - 3*b) + 0*b**2 + 0*b**2 + b**5.\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*f**3 - 162*f**3 - 152*f**3 + 1 - 186*f**3.\nAnswer: -16*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -3800.51.\nAnswer: -3796.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 3*k + 5. Let u be s(-4). Let r be 2\/5*(u - -4). Solve r*i = i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 11*g**3 + 40*g**2 - 48*g = 0. Calculate g.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 37. Suppose -o - 2*i = -b, 0 = o + o - 2*i - 76. Let s = o + -36. Is s < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 389502\/7 - 7016915\/126. Let t = u + 400\/9. Calculate the common denominator of -77\/10 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15096*t**2*w**2 - 3*t**2*w + 51903*t**2 wrt w?\nAnswer: -30192*t**2*w - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Let v(h) = 12*h - 10. Calculate -8*m(p) + v(p).\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 12*w + 3. Give p(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (120\/9)\/(-4)*(-6)\/4. What is the second derivative of -16*v + 4*v + 4*v**2 + d*v**2 wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 983386 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/4, 35236, 2, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18022377.\nAnswer: 3, 31, 193789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6\/7 - 2\/7*f + 6\/7*f**2 + 2\/7*f**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1.02. Let j = -3079\/12124 + 12\/3031. Sort -1, j, b.\nAnswer: -1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 2\/5, -2\/23, 0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-60)*15)\/((-3)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**2\/7 - 13844024*m\/7 + 13844028\/7 = 0.\nAnswer: -3461007, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 23 = 4*c, 4 = 2*p - 2*c - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -206*j**2 - 8860*j - 80. Calculate b(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-210)\/(-8)))\/((294\/(-9))\/(-7)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 8. Suppose 4*g = 2*n, -z*g - 20 = 4*n - 2*g. What are the prime factors of 0*4\/n - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81795, -81242, -80327, -79056, -77435, -75470?\nAnswer: -73167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 34*y + 17. Let t be (-1)\/((26\/(-65))\/((-6)\/(-5))). Let d(k) = 11*k + 6. Calculate t*q(i) - 8*d(i).\nAnswer: 14*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-4 - -56 - 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 2}. Give prob of sequence iii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 909\/(-36))*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4961005 and 3920?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8360)\/(-57) - 1\/(-3). Suppose 2*x - 3*f = v, -6*x + 5*f = -3*x - 222. Suppose x = 12*u - 9*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 25 + 10 + 4 - 4*u.\nAnswer: -4*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5560 and -71\/712792?\nAnswer: 3563960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*25\/(-30))\/((-254)\/(-381)) - 18.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 2 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/634 and -79\/10?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*((v**(-20)\/v)\/v)\/v)\/(v**3)**(3\/2) assuming v is positive.\nAnswer: v**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -131. Solve 4*h + 21 = 5*p, -2 = 2*h + 4*p - j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -2 - (-3)\/(-1). Let q = 6 + s. Suppose 0 = q*t - 0*w + 3*w - 14, w + 27 = 5*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrvrrrqrrvqrqvr. What is prob of sequence qvr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 4, s: 3, r: 5}. What is prob of picking 3 s and 1 r?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 10*j - 8 - j**2 - 8. Let s be a(-12). Suppose s = -y + 33. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71220?\nAnswer: 2, 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(28\/(-98))\/(3\/7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -95.575. Let u = -3.2 - m. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 209. Let t = 158 - b. Calculate the highest common divisor of t and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 165. Let m = -144 + k. Let x = m - -25.3. Which is the biggest value? (a) -17 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120112799*h**3 + 23757257*h + 1 wrt h?\nAnswer: -720676794*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 4 + z + 15. Let m(t) = t**3 - 5*t**2 - 3*t - 6. Let y be m(6). Let d = y - 12. What is n(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1529 - -10723\/7. Let z = -18\/7 + p. Let o = 5.11 - 0.11. Which is the closest to 0.1? (a) o (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*y + 73*y - 42808. What is the second derivative of -3*n**3 + y*n + 39*n**3 + n**2 + 24 + 8*n**3 - 10701*n wrt n?\nAnswer: 264*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1115 - -1299. Which is greater: 183 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3540321 (base 6) to base 3.\nAnswer: -100100121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 75 + 5*y - 40*y**2 - 5*y - 122.\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4032, 0, 560, 17 in ascending order.\nAnswer: -4032, 0, 17, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/64170 and -133\/1116.\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b)\/(b\/(b\/b**(1\/3)))*((b\/(b\/(b\/(b**5*b)*b))*b)\/b)\/(b\/((b*b**(-4))\/b)) assuming b is positive.\nAnswer: b**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*c + 166*c - 83*c**2)*(2*c - c - 7*c)*(c**2 + 7*c**2 - 11*c**2 + 23).\nAnswer: -1494*c**5 + 11454*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7774*c - 6250288. What is h(804)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 20*u**2 + 56*u - 2190. What is z(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 10*u**2\/3 + 4*u\/3 + 16\/3.\nAnswer: 2*(u - 4)*(u - 2)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168691000 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*a - 25 = 0, 5*a = 3*h - 0*h - 50. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*v = 2*b - 70, -4*b = -2*v - 48. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.198 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -221. Let z = -204 + o. What is the second smallest value in 2\/3, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbwwbbb. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.17 not equal to -1768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b - -95?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2da77 - -e1?\nAnswer: 2db68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -11*q + 20. Calculate the remainder when 322 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 - -1.5. Which is the closest to 2\/7? (a) -7\/10 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*v - 23, 2*v = -5*m + 11 + 12. Let f = 28949\/56 + -517. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26230997*h**3 + 1927658*h wrt h?\nAnswer: 157385982*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 - -29.62. Let w = -29.8 + u. Let l = 309\/110 + -32\/11. Which is the closest to 2? (a) w (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + c - 123 - 449, -593 = -5*h - 4*c. Calculate the remainder when h is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54859*r**4 - 246*r**3 + r**2 - 3324268*r + 2.\nAnswer: -1316616*r - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18192020 divided by 11813\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1134\/540)\/(23\/4). Let p = l - -10\/23. Factor -16\/5*k**3 - p - 4\/5*k**4 - 24\/5*k**2 - 16\/5*k.\nAnswer: -4*(k + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825816277 is divided by 694.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 12}. Give prob of picking 1 e and 1 m.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/6)\/((-15)\/45). Let t(k) = -8*k + 8. Let i = -1725 + 1719. Let x(b) = 15*b - 15. Determine i*x(d) + w*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935\/2017 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152325838?\nAnswer: 2, 7, 10880417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -180, -388, -794, -1464?\n\"Answer: -11*r**3 + r - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -82\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + 2*o**2 + 13*o + 31. Let t be j(-4). Suppose a = -a + 216. Let u = t - a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 344000172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4.09, 12, -19 in decreasing order.\nAnswer: 12, 0, -4.09, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*j + 5*t, t = -18*j + 21*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2. Let u(l) = -1. Let w(j) = -f(j) - u(j). Let z(n) = -n**2 - 11. What is -22*w(y) + 2*z(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 + (7 - 4) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46186887, 92373778, 138560669, 184747560?\nAnswer: 230934451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.009706ml to litres.\nAnswer: 0.004009706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19758918 divided by 6\nAnswer: 3293153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1279 = -4*y + 3*z, 5*y = -5*z + 114 + 1476. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34227064985\/96 - -356486337. Let f = y - -45591. Find the common denominator of 9\/44 and f.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17867 - 2588*k + 17867.\nAnswer: -2588*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 0.43, -2\/63?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 15169130*x**3 - 11505110078705*x**2 - 23010265664820*x - 11505140416980.\nAnswer: -5*(x - 1516914)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6255, -12456, -18647, -24822, -30975, -37100?\nAnswer: -43191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from qtjzpjhzq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004662 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49431 - -49430.6. Let v = -9 + 5. Put 0.3, v, i, 11 in decreasing order.\nAnswer: 11, 0.3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let s = -2 - v. Suppose 5 = s*i + 11. Sort 4, 9, i in descending order.\nAnswer: 9, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*t = -0*s - 1, -9*t = -3660158*s + 3660158*s + t - 20 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/8 + 512435*q\/2 + 262589629225\/2.\nAnswer: (q + 1024870)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9463 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 0 - (-76 + 61)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c23a (base 15) to base 5\nAnswer: 2303010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3587.\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*y - 38, c + 11 = 36*y - 37*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 19. Let f(o) = o + 13. Let g be f(p). Suppose 0 = 5*q + 4*h - 9, -5*q + h - g*h + 17 = 0. Solve 1 + 9 = -q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51036, 51281, 51526?\n\"Answer: 245*n + 50791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 0 - (-23 + 32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -253\/5734874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6409 + -0.6409011364. Round b to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 18*u. Let b(d) be the third derivative of -1\/12*d**5 + 0*d**4 + 3*d**2 + 0 + u*d**3 + 0*d. Let p(c) = 2*c**2. What is p(b(j))?\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-42 + 41 + -2 - ((1 - 5) + -1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(108) + sqrt(108) - sqrt(108)) + sqrt(108))\/(sqrt(256) - (1*sqrt(256) + sqrt(256)) - sqrt(4)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 1 - 11. Let v = j - 8. List the prime factors of v*(-4)\/18*21.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0*g**3 + 2*g - g**2 + 5*g**3 + 4 - 4*g**3. List the prime factors of a(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -5 (c) 438 (d) -4\/3 (e) 0 (f) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2671*m**3 + 3*m**2*u + 60*u + 311 wrt m?\nAnswer: -8013*m**2 + 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4278 rounded to 2 decimal places?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (0 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621550663?\nAnswer: 53, 59, 198769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4707, 6122, 7537, 8952, 10367, 11782?\n\"Answer: 1415*t + 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48\/47 + 519\/94. What is the nearest to -0.2 in s, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4\/5 + 8776*t**3 - 118617412*t**2\/5 - 1890666336*t - 185650680384\/5.\nAnswer: -4*(t - 5524)**2*(t + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 5*y + 6. Let x be r(-4). Suppose 0 = -4*n + v + 123 - x, -3*n - 3*v = -48. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -6*t - 12. Which is smaller: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/754)\/(8\/192)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, -9, -1 in ascending order.\nAnswer: -9, -1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(24)\/sqrt(108) + (sqrt(2) - (sqrt(2) + (sqrt(6)\/(sqrt(27) + sqrt(3)) - sqrt(2))))))**2.\nAnswer: -845\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfutfkittuttu. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 6, o: 3, r: 1, a: 2}. Give prob of sequence ojar.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-12) - (-2)\/4. Let a = -266.8 - -261. Let z = a + 5.3. What is the nearest to 0 in -4, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*p**2 + 258*p**2 - 1033*p**2 + 261*p**2 + 8*p**3 + 260*p**2.\nAnswer: 8*p**3 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39856301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 378262, 378174, 378086, 377998, 377910?\n\"Answer: -88*m + 378350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25276 to the nearest one hundred.\nAnswer: -25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*z - 28, 3*z - 3*k = 12 + 48. Let x = -299 - -435. What is the highest common divisor of z and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19512409 * -23\nAnswer: -4.48785407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/15*-3)\/(7\/35). Let q be ((-3)\/9)\/(g\/108). Suppose q = -0*b + 6*b. Solve 5 = -b*m + 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -4 in descending order.\nAnswer: 3, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1097 or 1?\nAnswer: 2\/1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 4)*(-1 + 2*h**4 + 1) + (0*h + h + h)*(h**2 - 2*h**3 - h**2).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 155a608a + -15?\nAnswer: 155a6075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 1. What is the greatest common divisor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-4)*(0 - (-8)\/(-6)). Let g(f) = f**2 + 12*f + 17. Determine g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 + 175. Let h(n) = 67*n**2 + 7*n + 29. Is h(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4752\/115 - -1024\/23. Factor 4\/5*c**2 - h - 8\/5*c + 2\/5*c**3.\nAnswer: 2*(c - 2)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 138*m**3 - 10*m.\nAnswer: -138*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386399?\nAnswer: 2386399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3056 and 8786?\nAnswer: 70288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 + 4. Suppose -2*d + 12 = -n - 1, -3*d = 4*n - 36. Let v = d + -14. What is the units digit of u(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 13*h + 0 - 1)*(-6*h**4 - 21*h**3 + 21*h**3).\nAnswer: -78*h**5 - 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -60. Let o = 45 - c. Sort 3, 1, o, -1.\nAnswer: o, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2296*h + 20647. Give r(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1110, -2223, -3336, -4449, -5562?\n\"Answer: -1113*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34597?\nAnswer: 29, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {m: 1, k: 7, r: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 - 297425*n\/4 + 892257\/2 = 0. Calculate n.\nAnswer: 6, 297419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {f: 4, d: 3, n: 1, p: 1, g: 4, s: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2274 divide 402245597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 - 4*o - 2. Let p be z(5). Let l be (-3 + 4 + 249\/(-6))*2. Let k = l + 83. Solve b + p = -0*b, 0 = -4*i + k*b - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*h - 347*h - 59024. Which is the smallest value? (a) -0.4 (b) h (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 21 + 28, y = -5*k + 1037. What is the remainder when 1658 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-591)\/6 - (-2)\/(-4). Let i = g + 71. Let k = 8 + i. Round k to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6500 - 4285 = -r. Suppose o = -4*o - r. Let p = o + 21537\/10. What is the common denominator of -21\/4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 15*c**2 - 5*c + 14. What is the tens digit of z(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4028382 (base 9) to base 15\nAnswer: 2c5875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5707500 to the nearest ten thousand.\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 2 - 6 = 5 + 9, -5*q + 5*w - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -14*t**3\/3 + 79*t**2\/3 + 31*t = 0.\nAnswer: -1, 0, 93\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -289*r**4\/4 + r**3\/3 + r**2\/2 + 18*r + 132. Find the second derivative of q(n) wrt n.\nAnswer: -1734*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44915888.\nAnswer: 2, 503, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21358 - 21331. Solve 7 = -4*t + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdf when three letters picked without replacement from wfwwcfbswcfbfd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/144*9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(36\/10 - 4). Differentiate -1 - 2*c**2 - 3*c**2 - 2*c**r - 6*c**2 with respect to c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 196 = -14*q. Suppose i = -4*k + q, i - 3*k = 4*i - 48. Let w = 16 + -10. Calculate the lowest common multiple of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -20. Suppose 3*r + 24 = 3*d, -3*d + 2*r = 6*r - 17. Calculate the remainder when y is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -43)\/((-90636)\/(-225428))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.9. Suppose 26*b + 2590 = -11*b. Let w = 56 + b. Are p and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - 2*z**4 - 5*z**4)*(0 - 2 - 1)*(4 + 0 - 2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/6)\/(16\/(-135)) and (-6)\/(-42)*(-21533)\/(-366) + (-8)\/6.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/5 and -1\/14834 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 137*y + 188*y - 15*y - 14*y.\nAnswer: 22*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.169 + -4.169. What is the closest to -1\/5 in -0.3, x, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -0.05 (d) -0.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g = 49*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19815590, -19815583, -19815576?\n\"Answer: 7*q - 19815597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 150 and 9.2.\nAnswer: 159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(-1*(-27)\/(-27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488095, 976173, 1464251, 1952329, 2440407, 2928485?\nAnswer: 3416563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**42\/d)\/d*d)\/d)\/d**(1\/2)*(d\/(d\/(d*d**34)*d*d)*d)\/(d\/(d*(d*d**48)\/d)))**47 assuming d is positive.\nAnswer: d**(11421\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158253371 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -316006, -0.1, -0.12, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121123094 and 758.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/5*36\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58889 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d + y, -5*d - 18 = -0*y + 2*y. Let s be (36\/8)\/((-1)\/d). What is the tens digit of ((-3)\/s)\/(2\/(-402))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 265*w**2 + 7018*w - 460653. Give q(284).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772073 is divided by 222.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2345\/(-268)*(-10)\/35*(-1596)\/35.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**3 + 28*t**2 - 80*t + 3. What is the remainder when 212 is divided by y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 21. Let k be d(0). Suppose 3*l + k = 6*l - w, 3*w = 2*l - 7. Solve -4*p + l = -j, -4*p - 8 = 2*j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-11) - (-269 - -301).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841553166?\nAnswer: 2, 3, 140258861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-9)\/d)\/(d*d*d**(-15)\/d*d))\/(d\/((d*d*d*d\/d**(3\/5)*d*d*d)\/d))**(-16))**(-19\/5) assuming d is positive.\nAnswer: d**(6403\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*t**4 - 11*t**3 + 4*t**3 + 1 + 7*t**3 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:58 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15447.\nAnswer: 3, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3653 is divided by 973?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 - -464. Let v be (365\/292)\/((-10)\/(-8) - t). Solve 4*m - 3*a - a = -20, 3*a = m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 797195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10 + (-15109)\/5210)*35\/30?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**2 + 16*k + 463. Calculate n(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.176, -1\/3, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -5)\/((-4)\/2). Let n = a + 11. What is the lowest common multiple of (-1)\/(-4) + 248\/32 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a - 9. Let f be 10\/(-50) - (1 + 24\/5). Give y(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 4. Let w be i(-3). Let m = w - -162. Let b = m + -62. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/5 of a millennium?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*z + 7. Let m be 14 + (-1 + z)\/(2\/(-8)). Suppose 4*y - 5*o - 160 = 0, 0 = 4*y - 3*o + 5*o - 132. What is the greatest common factor of y and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -111*k**2 + 31*k - 332. Let d(v) = 56*v**2 - 16*v + 181. What is -11*d(a) - 6*s(a)?\nAnswer: 50*a**2 - 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 26, 32, 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16*t + 26 = 0. Let f be (-406)\/(-126) + 3*t\/(-27). Solve 0 = -f*y - 5 - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*((-2 - 1 + 2)*(-1 - 4 + 3) + 2 + 3 - 2 + 3 + 7 - 3)*(0*m**4 + 2*m**4 + 2 + 5).\nAnswer: -48*m**4 - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -29*w**6\/120 - w**5\/60 + w**3\/6 - w**2. Let t be i(1). Let o = t - -53. What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j + 18. Let r be y(-3). Let z(m) = 1 + 2 + 2 + 4*m. Let t(u) = -u - 1. Determine r*z(a) - 15*t(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-three quarters of a day?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306940)\/34270*(-46)\/(-4).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 y, and 1 v when four letters picked without replacement from pvphvppvhayypv.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307524 divided by -38.\nAnswer: 153762\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 12307*u**4\/8 + 13*u**3\/3 - 54*u**2 + 2. Let d be s(-6). Round d to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3426 + -8036. Is (1\/(-3))\/(4\/6)*s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(108))\/sqrt(3))\/(sqrt(2) + (sqrt(242) + sqrt(242)*-1 - sqrt(242))))\/(2*((-2*sqrt(288))\/sqrt(12))\/(sqrt(144)*-1 - sqrt(144))).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 7*f + 13. Let i(s) = s**2 - 4*s - 6. Suppose 12*x + 55*x - 22*x - 90 = 0. Give x*h(j) + 5*i(j).\nAnswer: -j**2 - 6*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1594011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - n + 20 - 76, 0 = -5*p + 3*n + 70. What is the lowest common multiple of p and 122?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 26*u = 0. Let g(c) be the second derivative of 4*c + u + 0*c**4 + 1\/165*c**6 + 0*c**3 + 0*c**2 + 1\/110*c**5. Suppose g(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12002176 is divided by 534?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 - 30*m**2 + 3*m - 24 wrt m.\nAnswer: 36*m**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)*n\/n**7*n\/n**6*n**(-1\/3)\/n assuming n is positive.\nAnswer: n**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88785 is divided by 29592.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*s + 25 - 25)*(9*s - 148 + 148) as b + l*s**2 + r*s and give l.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -74*n**5\/5 - 15*n**4\/4 - 830*n**2 - 1062. Find the second derivative of k(q) wrt q.\nAnswer: -888*q**2 - 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Suppose b = -3 + 9. Let q be a(b). Solve -3*o + 4*o - 2 = -s, -q*s = -3*o + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/198 and -47\/1056.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/6 + 13*b. Let n(w) = 9*w. What is n(u(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -379. Let b = w + -1948\/7. Find the common denominator of -12\/5 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530173*f**2 + 2*f + 2116059 wrt f.\nAnswer: -1060346*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.6 + -129. Let v = -3.6 + 3.7. What is the third biggest value in v, 1, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + -6 - 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2562644?\nAnswer: 2, 7, 19, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110101 + -11?\nAnswer: -1110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1367 + 587. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 6*q**2 - 6*q + 5. Let u be d(-7). Are -12\/5 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 12755.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -977*u - 5057. Let a be p(-13). What is the greatest common factor of a and 624?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**4 + 354*s**3 - 8697*s**2 + 8340*s = 0.\nAnswer: -139, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t - 2087 = -1690 - 3262 - 1850 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (-4)\/2 + 62 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 12) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -437 in increasing order.\nAnswer: -437, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 - 1 + 2*z + (4*z - 4*z + 4*z)*(7 - 26 - 105).\nAnswer: -494*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3. Let u be q(-3). Suppose 3 = -3*w - 23*j + 27*j, -2*j + 18 = 4*w. Solve 3*f - w = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21815312 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 571*g**5\/20 - 875*g**4\/12 + 659*g. What is the third derivative of x(o) wrt o?\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7672077 to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 8*v + 15*v)*(-135 + 29 - 41)*(-4 + 5 + 2)*(v + 0*v - 3*v).\nAnswer: 16758*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2699 - -1?\nAnswer: -2698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/92 and 9\/9400.\nAnswer: 216200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c - 66*c + 217*c.\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*4*-3*3*-1*sqrt(425)*-6)**2.\nAnswer: 11421388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 4583185 = -4582038 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 4*z + 0*z + (2 + 0 + 0)*(-24 + 4*z + 24) - 1 - z + 1.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - 267206?\nAnswer: -267231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6616 or -112\/11?\nAnswer: -112\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 759 - 378. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2 = -2*d - 6, -4*z - 4 = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -223255 (base 6) in base 3?\nAnswer: -221220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203376 and 6864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6860*w**2 + 122306 wrt w?\nAnswer: 13720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, h: 3}. Give prob of sequence phh.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123345 (base 6) to base 5.\nAnswer: -324103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12879*w + 2382608. Calculate c(-185).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342900 is divided by 5423.\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 159 = -3*n, -9*z + 26*z - 15*z = 6*z + 3*n + 215 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:25 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/(g*g*((g**(1\/2)*g)\/g*g)\/g*g)*g)*g)**(-2)\/(g*g**(-1\/3)\/g*g*g*g**4))**(-11) assuming g is positive.\nAnswer: g**(418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/298 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.079122\nAnswer: -0.579122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 42. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51130 divided by 10226?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05304559 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Which is the second smallest value? (a) -0.4 (b) r (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/10 + 3*v**4\/4 - 8*v**3 - 24*v. What is the second derivative of b(g) wrt g?\nAnswer: -12*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 613, 609, 593, 559, 501, 413, 289, 123?\n\"Answer: -p**3 + 3*p + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 759728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2810)\/(-6))\/((-5)\/(-15)). Let x = -2020 + f. Let k = 15615 + x. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10704 - 38*m + 755 + 17*m + 23*m to o + n*m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 - 309 = -2*q + 2*s, -3*q + 4*s = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 - 23*a - 72. Let i be r(-3). Let z(k) = k + 11. Let l be z(-11). Put 5, -1, l, i in increasing order.\nAnswer: i, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35464 by 2728.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 q, and 1 o when four letters picked without replacement from {o: 1, b: 4, c: 2, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*24\/1. Let k be ((-12)\/(-14))\/(5\/140). Calculate the highest common divisor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - o + 2*o**2 - o**2 - 6*o**4 + o**2 to y*o + c + j*o**4 + m*o**3 + g*o**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -917 - -918. Let m(p) = -6*p**2 + 3. Let k(n) = n**2 + n - 1. Determine x*m(d) + 4*k(d).\nAnswer: -2*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 8*m**2 + 14*m + 1. Let i be w(-3). Calculate the greatest common factor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + c**4 - 3*c + 2*c**2 - 3*c**4 - 2*c**2 + 2*c**4 - 3*c**4 + 0*c**4 + (-3*c**2 + 3*c**2 + 3*c**4)*(-1 + 2 + 1) + 0*c + 3*c**4 + 0*c.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(9*v**3 + 6*v**3 - 5*v**3).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.086015 to 4 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1234645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**8\/5040 - p**7\/5040 + p**6\/2160 - 5*p**3 + 16. Let d(f) be the third derivative of w(f). Factor d(b).\nAnswer: -b**2*(b + 1)*(2*b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-39)\/6)\/((-22)\/(-14)) and 69\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/117, 5, 3, 6, -0.09.\nAnswer: -0.09, 4\/117, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-124)\/(-5))\/(2\/5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -673\/1298735 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 2*l**2 + 2 - 7 - l**2 + 0. Determine h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 300, 666, 1180?\n\"Answer: 74*n**2 - 4*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-880)\/12)\/11 + 5\/1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3267897 is divided by 30258?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2 + 16 + 0*q + 1\/3*q**3. What is p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112) + -2 + sqrt(112)*-1*3)**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332 - -149. Let b(g) = -5*g**3 - 412*g**2 - 164*g + 37. Let o be b(-82). What is the highest common factor of r and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 320*u**2 + 598*u + 14885. Calculate i(322).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r - 10 - 25 + 72 + 66. Is p(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18216 + -3b?\nAnswer: -18254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 20 + -9 + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 + 8 = 0. Solve 12 = -0*t + q*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 - 3632*j - 3630 = 0. Calculate j.\nAnswer: -1815, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -928.98 - -939. Let j = 10 - n. Let x = 11 - 13. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from diaioodaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14278*k**2 - 2*k - 19908?\nAnswer: -28556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9160 (base 12) to base 14.\nAnswer: -c3dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Let i be (-2 - -2) + -1 + y. What is the common denominator of 13\/7 and i\/(-6) - (-134)\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u - 3. Give n(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597614.9ml to litres.\nAnswer: 597.6149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 25. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-25)\/(j\/j**(19\/2)) assuming j is positive.\nAnswer: j**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 178.139 days?\nAnswer: 256520.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**4 - 14161*u**3 - 654626*u**2 - 108711*u = 0.\nAnswer: -2313, -47, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) + 4\/18. Suppose -4*p + 3*p + 2 = g. Calculate the lowest common multiple of (-2)\/4 - (-29)\/p and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4149*x**3 - x**2 + 3*x - 971 wrt x?\nAnswer: 24894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1028.\nAnswer: 9\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 123, 128, 135, 144?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 7790\nAnswer: 623200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -0.1, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-18)\/(-702) + (1 - 2)*-445. Calculate the highest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 1:21 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 269*l + 1126. Let t be b(-4). Solve 0 = -214*p + 204*p + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 13. Let z = g + 19. Let p = 3 + -2. Which is the nearest to p? (a) -1 (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1413 and 157068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648884121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*b - 59 - 24, -3*j + 82 = 5*b. Suppose -5*v - z - 21 = -0*z, 0 = 5*v + 2*z + b. Let x = v + 15. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.1. Let m = -3.3 - -3.3. What is the smallest value in 1\/4, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 5*p, 2*v - v - 9 = -3*p. Solve p*j = 4*z - 16, z - 1 = 3*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.61 + 1.31. Sort j, 2, -2\/7, 4 in descending order.\nAnswer: 4, 2, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 divided by -382?\nAnswer: 1511\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 18?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 321\/535 - (0 + 12\/(-5)). Does 15 divide m + (-379 + 10)\/(6\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 24 = 6*v. Let l be 5*(2\/12 - (-310)\/372). Let z(m) = m**2 + 2*m - 11. Let k(x) = -x + 5. Give l*k(d) + v*z(d).\nAnswer: 2*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 49 - 30 + o**3 - 3*o**4 to j*o**2 + i*o**3 + x*o + t + u*o**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04649 and -0.128?\nAnswer: 0.08151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2577281493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*g - 31 = -0*g, 4*n - 169 = 3*g. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 729\/5, 2\/3, -0.4, -68, 5\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*d + 26 = -381*d. Put 0, d, 1, 5, -36 in decreasing order.\nAnswer: 5, d, 1, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from rxrxyyrry.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28)*(146\/1971)\/((-2)\/(-36)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(196) - sqrt(4)))\/(sqrt(245) - -1*sqrt(245)).\nAnswer: sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 806729, 806708, 806689, 806672, 806657?\n\"Answer: b**2 - 24*b + 806752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 take away -3.6?\nAnswer: 1355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 16*b + 6. Determine o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*((-1404)\/(-90))\/(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.76491 millimeters to nanometers.\nAnswer: 27764910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118764548 > 118764548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382.2 - -347. Let n = -39.2 - k. Which is the second smallest value? (a) 0.06 (b) 3 (c) 5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/33 and -23\/486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -484\/19?\nAnswer: -484\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - y**3 - 3*y - 289 + 2*y**3 + 307. What is the units digit of s(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344185082 rounded to 4 decimal places?\nAnswer: -0.3442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8. Sort -3, b, 1 in increasing order.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9688 and 1.\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 9, l: 9}. What is prob of sequence rl?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d*n - 342979*d - 2*n**2 + 227*n wrt n.\nAnswer: 6*d - 4*n + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-2))\/(4*(-21)\/420*5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12803 + -7777. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1291.6.\nAnswer: -1291.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19318848487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 81, 141, 213, 297, 393?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166426 divided by 2249.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 27*j**2 - 56*j + 58. Let m be p(-29). Suppose m = 8*t - 29*t + 8967. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 1769936*a**2 - 195792090256*a.\nAnswer: -4*a*(a - 221242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*l + 22, 0 = -3*w + 4*l + l + 49. Calculate the least common multiple of (3\/(-3))\/((-2)\/4) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*g = 4853*g - 3157 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 + c - 17. Let w(a) = -a**3 + 6*a**2 + 2. Let j be w(6). Suppose 3*k - 16*k + 50 = 167. Let i(m) = -2*m**2 - 4. Determine j*n(q) + k*i(q).\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 12 = -4*h, h - s - 3*s = -14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/1760 + 4\/(-44).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 73*r**2 + 75*r + 230. Calculate v(-72).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 4 + 1210*z - 42 + 32*z.\nAnswer: 1242*z - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-540)\/(-48) - 15)\/(3\/(-2)) - (-114)\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 138484.4 meters?\nAnswer: 138484400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2101 - 908. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6)*(-15)\/2. Let f = 7 - 0. Let t = 24 - f. Solve -3*m + t = -4*r, -r = -5*m + 2*r + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 51. What is the remainder when (17 - 0)*(3 - z\/(-4)) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.843 - -0.79. Let s = -17334.2 + 17334. What is the third smallest value in 1, s, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/9 - 11*p**4\/36 + p**3\/9 - 24*p**2 - 20*p + 1. Let c(g) be the first derivative of y(g). Factor c(f).\nAnswer: 2*(f - 1)*(10*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 14 + 6*z + 14 - 7*z. Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-140))\/(49\/((-1960)\/(-48)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 19007 = -4036. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12528 and 11997072.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23 - 23 + 1080*r + 73*r**2 + 344*r**2 + 19*r wrt r.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 - -3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 388, 390, 394, 400, 408, 418?\n\"Answer: n**2 - n + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p - 8. Let r be 2*p*(-21)\/24. Let x(u) = u**3 - 8*u**2 + 7*u - 2. Give x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/117491 and -146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 126233 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 385a59 + 4?\nAnswer: 385a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1764d9 (base 14) to base 3\nAnswer: 1112212120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 904 = 31*m + 2*l, 6 = 2*l. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10680 by -5.\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11949 and 328881?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 + 2*p**3 + 7*p**2\/2 - 6*p + 2. Let k be a(7). Let o(l) = l + 8. Calculate o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*y - 32 = 0, 62*k - 2*y = 64*k - 16 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**24\/(z\/((z**(-2\/49)*z)\/z)*z)**45 assuming z is positive.\nAnswer: z**(-4108\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 40*i = 44*i - 720 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 180\/(-25)*(-2)\/((-2)\/(-25)). Let o = -59 + t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 - 5. Let b = 203\/2 - 101. What is the smallest value in i, -1\/7, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136\/3 + 127\/2. Let j = 901\/42 - k. What is the common denominator of j and 5\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 6. Let j(o) = o - 1. Let f(p) = -2*j(p) + q(p). Give f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24873 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 8*m + 10. Is f(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-4)\/10*-5. Suppose 2*n - 15 + 3 = -5*t, 6 = n - m*t. What is the greatest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 20 = v - 4*f, -4 = 4*v + 5*f. Suppose w + 2 = 5*j + 13, -j = -v*w + 25. What is the units digit of 76\/(-6)*w\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -957577\/238 less than or equal to -4024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 4, y: 1, m: 1, q: 3, n: 6}. What is prob of picking 1 q and 1 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/n**(-1\/4)*n**(-1)*(n**3)**26 assuming n is positive.\nAnswer: n**(321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03309 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17686 - 1.87686. Which is the third smallest value? (a) -5\/8 (b) -3\/2 (c) -1\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 7935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**4 + 47846*k**3 - 47846*k**3 + 76*k**2 + 1 as s*k**2 + t*k**4 + p*k**3 + v + d*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311978 is divided by 101713.\nAnswer: 6839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 826*r**5 + 16913*r**3 + 7314*r**2 - 289*r + 3 wrt r?\nAnswer: 49560*r**2 + 101478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 - 118. Let k = r + -107. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*a - 910*a = -690 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let m(c) = -334*c**2 - 6*c + 3. Let x(f) = -f**2 + 2*f - 1. Let n(o) = -m(o) - 3*x(o). Determine n(l(h)).\nAnswer: 1348*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -15, -0.28251 in increasing order.\nAnswer: -15, -0.28251, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1330 + -1212. Calculate the lowest common multiple of 2 and n.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-40)*83)\/(-15 - (-183)\/12)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, -1\/2, -4\/5, 1.\nAnswer: -312, -4\/5, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 22 = 5*n, 0 = 6*m - 9*m + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-1260)*-2*(-28)\/(-24)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20376.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/72 + 11\/(1144\/(-39)). What is the fourth smallest value in -4\/149, -4\/5, -2\/3, t?\nAnswer: -4\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2963088\/5*j + 42224004\/5 - 912\/5*j**3 + 4\/5*j**4 + 77976\/5*j**2.\nAnswer: 4*(j - 57)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h + 670 + 2142 = 862 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262218 is divided by 17536?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let o(l) = -6*l + 7. Let b(m) = 14*d(m) - 2*o(m). Let k(y) = -29*y + 13*y + 13*y. Determine k(b(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 6) to base 9.\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43362*g**3*u + 8*g**3 - 2*g**2*u - 18790*g*u + 6*u + 7 wrt g?\nAnswer: -260172*g*u + 48*g - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3484.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by -62?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.40675 days to microseconds.\nAnswer: 7551943200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134666 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 373862987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 232, 341, 468, 619, 800?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2, 1224?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, w: 1, k: 2, z: 2, g: 2}. What is prob of sequence wgz?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(6\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:50 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -692700 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from aaaaffaaffaf?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 131.51137.\nAnswer: 26.302274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.458 - 9.858. What is the nearest to 2\/983 in x, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q + 1. Let p be b(19). Let m = -118 + p. Let c = -34 + m. Solve 3*k - c = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -894, -3, 76 in decreasing order.\nAnswer: 76, 15, -3, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v**2 - v**2)*(2 - v - v + 0*v - 10*v**2).\nAnswer: 20*v**4 + 4*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*o - 2 + 7, -5*w = o - 20. Let r(v) = 6*v + 1. Let q(y) = 7*y + 1. Calculate w*r(n) - 4*q(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -496191\/135940 - -1\/13594. Let j = 3932801\/120 + -32773. Calculate the common denominator of y and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -1.347\nAnswer: -42.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218194887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 683395872 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjzwjzzwwjzjwzzw. Give prob of picking 1 w and 1 z.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4870365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*k**2 + 25*k**2 + 21*k**2 + 21*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4725 divided by 5\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318 - 78. Suppose -144 = -2*l + h. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116\/2209 or 5?\nAnswer: 116\/2209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 5*g - 6. Let v be o(5). Let h be 3*(4 - (-20)\/v). Is 11 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.7 and 122.0459.\nAnswer: 124.7459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u**3 + 35*u**3 + 21*u**3)*(0*u + 0*u + 2*u) + 3*u**4 - 8*u**4 + 2*u**4.\nAnswer: 77*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21841.8 + 21842. What is the nearest to -2 in -5, d, -2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/8, -13, -1077, 1 in descending order.\nAnswer: 1, -3\/8, -3, -13, -1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/834 and 151\/6.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(8\/(-6))*4. Let b(u) = -u**2 - 2*u. Let g(k) = -7*k**2 - 10*k - 6. Let h(p) = -5*b(p) + g(p). Let w(r) = -1. Determine c*w(j) - h(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 316*x - 519*x - 2639 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/36 - 16\/(-9). Let l = d - 2. Suppose 2*g - 16 = 5*i - 69, 2*g + 8 = l. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.2189*1.\nAnswer: 7.2189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*3 + sqrt(832) + 5 + sqrt(52))**2 + 4 + -4.\nAnswer: 340*sqrt(13) + 15053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -14)\/(3 + -2) + 5188 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.1941 to one decimal place.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - k - 9. Let l(j) = -11*j**2 + j + 14. Let h(f) = 5*l(f) + 8*n(f). Let u = -4 + 6. Give h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18070 and 1945?\nAnswer: 7029230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14*k - 5. Let y(b) = -2*b - 1. Let w be y(2). Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.612+556\nAnswer: 561.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p + 7. Let d = -8 + p. Suppose -4*w = -d + 4. Is -1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -23*d**7\/105 + 19*d**6\/120 + d**5\/30 - 1295*d**3\/2 - 5255*d**2. What is the derivative of v(y) wrt y?\nAnswer: -184*y**3 + 57*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + n - 261, 9*b - 514 = 7*b - 4*n. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510970 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0995599 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 278*a + 12. What is the tens digit of x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217622759 to the nearest integer?\nAnswer: 14752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(21)\/sqrt(3) + 1)**2 + sqrt(7))*2) + ((sqrt(252) - (sqrt(252) + 0 + sqrt(252)))*-2 + -1)**2 + 5.\nAnswer: -42*sqrt(7) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -2.2, -2, 1\/2, -1, 0.1, 0.10765?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 14675.\nAnswer: 46\/14675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let w(g) = -12*g - 1. Let b(r) = 44*a(r) - 4*w(r). Let l(s) be the second derivative of s**3\/6 + s**2\/2 - 8*s. What is -b(y) + 6*l(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 4:16 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 2541989684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/y**11*(y\/y**(-10))\/y**(1\/19) assuming y is positive.\nAnswer: y**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 5*q - 5. Let a be y(-4). Let b be (a + (-2 - 6))\/1. Let p = 1 - b. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18303, 18299, 18293, 18285, 18275?\nAnswer: 18263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 2. Let d(w) = 4*w + 9. Let a(p) = 2*d(p) - 9*n(p). Let o(v) = 77*v - 65. Let x(m) = -39*m + 26. Let i(l) = -2*o(l) - 5*x(l). Calculate i(a(k)).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.26 + 49. Let p = v - -4.26. Which is the closest to 0.1? (a) -3 (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j + 72*j - 53*j**2 + 74*j - 296*j - 92*j**2 + 76*j.\nAnswer: -145*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 129, 202, 275, 348, 421?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 18 = -14*t. Let a = -15 + t. Suppose -a*z = -199 + 61. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -261*t - 3. Let v be p(2). What is v rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 8, -8, -2, 5, 4 in decreasing order.\nAnswer: 16, 8, 5, 4, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 4*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 - 7*k + 1. Let m be y(2). Let o(q) = -7*q + 2. Let a(t) = -14*t + 5. Let j(b) = 6*a(b) - 11*o(b). What are the prime factors of j(m)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 28 + 24 = 3*n, 6 = -q + 9*n - 5*n for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 541*q**3\/6 + 27*q**2\/2 - 49*q. Is f(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 8) in base 2?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -215, -5, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 6. Let z(l) = -9*l - 11. Let y(n) = -11*m(n) - 6*z(n). Let d(w) = 7*w + 3. Calculate d(k) + 5*y(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231240 (base 5) in base 12?\nAnswer: 11a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (855\/(-10032))\/((-235)\/376)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 x when three letters picked without replacement from {x: 2, a: 1, f: 1, i: 1, b: 1, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 9*z**2 + 15*z - 12. Let r be d(10). Suppose -2*o + r = 34. Suppose 2*y - o + 24 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7121 and 65\/33.\nAnswer: 234993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.223 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 611389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516 or -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715403, 1430949, 2146495?\nAnswer: 2862041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -3 + 784\/132. Let f = 112 + -112. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*v + v - 9, -3*y - 3 = -v. Let z be 2 - (151 + (v - 5)). Is 30 a factor of (-3)\/(((-9)\/z)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4*j + h + 5, 0 = j - 4*h + 2. Suppose -2*f = -31 + 7. Suppose j*q + 0 = f. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73890604, 147781208, 221671812, 295562416, 369453020, 443343624?\n\"Answer: 73890604*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*-9*(-10)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 58 = -j, 2*d + 3*j - 28 = j. Suppose -q - q + 5*w = d, 5*w - 15 = 0. Solve 3*m + 13 = q*v, 4*v - 4*m = -9*m + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -71 - (-2 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a. Let g(k) = 9*k - 5*k + 0*k + 39 - 3*k + 111. Determine r(g(l)).\nAnswer: -7*l - 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10628*p**3 - 6*p**2 - 14. Let o(v) = -17714*v**3 + 10*v**2 + 24. Give 12*a(k) + 7*o(k).\nAnswer: 3538*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/(15\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*((0 - 2*v**2 + 0)*(-v**2 + 4*v**2 - 7*v**2) - 5*v**4 + 4*v**4 - 2*v**4)*(-v - 2*v + 4*v).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1545 divided by 3\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9000 + -1)*(7 + -9 + 1). Suppose -r*w = -9005*w. Let i = 15 - 11. Put -2\/15, w, i in increasing order.\nAnswer: -2\/15, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393.8 - 2394. What is the closest to -2\/9 in -1, t, -1\/3, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*j**2 - 32*j**2 - 12*j**5 + (0*j**3 - 3*j**3 + 2*j**3)*(-3 + j**2 + 3).\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) 3 (b) 3\/2 (c) 5\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - f - 1317 = 0, 0*n - 5*n = 5*f - 6605. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556012*f**2 - 185322*f**2 - 185366*f**2 - 185322*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -393476 minus 23.219364?\nAnswer: -393499.219364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 501*t**3 - 11727*t**2 - 165321*t - 153090 = 0 for t.\nAnswer: -9, -1, 42, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 696.0402 months?\nAnswer: 0.05800335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*v + 230856 - 222892 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -59*l**3 + 2*l**2 + 2*l + 1. Suppose -7*c + 315 = -84. Let x = c - 36. What is the remainder when f(-1) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327 and 39567.\nAnswer: 39567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let w(h) be the third derivative of 1\/60*h**5 + 0*h + 0 + 0*h**4 + 0*h**3 + 3*h**2. Calculate r(w(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 34*p**3 - p**2 - p + 1. Let i be t(1). Calculate the common denominator of -143\/6 and (3 + i\/6)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 92920\nAnswer: 7\/92920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.75 - 0.68. Let r = -83 - -53. Let g = -29.8 - r. Sort -4, -3\/2, f, g in descending order.\nAnswer: g, f, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 120*u + 1152. What is b(-10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3010 and 29\/2156?\nAnswer: 463540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1254.77 (b) -0.4 (c) -1\/2 (d) -19 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) 4684627\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155250 divided by 30?\nAnswer: 5175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let i be 4\/((0 + 6)*w\/(-9)). Factor -12*c**3 - 1\/3 - 13\/3*c - 16*c**i.\nAnswer: -(c + 1)*(6*c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*y - 76 = 0, 0 = -0*o + 2*o - 4*y - 20. Let z be (-30 - 0)*(-30)\/(-75). Let d = z + o. Solve d*j - j + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 2*g + 6. Let z be a(-4). Does 6 divide 3*(z - (-34)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = -4*a + 20, 3*a + 2*d - 26 = 0. Find the second derivative of j - a*j**5 - 8*j - 8*j wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -367, -803, -1423, -2233, -3239, -4447, -5863?\nAnswer: -7493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-7)*(-2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81365505 by -6258885.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/12 + p**3\/2 + 19*p + 15. Calculate l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n + 28 = 91*n. Suppose -2*f + 0*m = 2*m - 172, -362 = -n*f + 2*m. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4376403*a**6 + 60575*a**2 + 37*a wrt a.\nAnswer: -525168360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 - 11. Let y(x) = -5*x**2 + 10. Let b(d) = -4*m(d) - 5*y(d). Let i(z) be the first derivative of -z**2\/2 - 1179. Calculate i(b(h)).\nAnswer: -h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 732*21206\nAnswer: 15522792","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 232 + -217. Solve 3*s = -3*a + 9, -6*s + d = -3*a - 3*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 420906?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 28 + 17. Let c(l) be the first derivative of o*l + 6 + 7\/2*l**2. What is the derivative of c(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 7 = 4*i, -65*c + 157*c - 96*c + 3*i = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (38 - 37)*(-10)\/(-64) and 3\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a - 3 = 0. Let g(u) = -u**3 + 10*u**2 - 16*u - 6. Let c be g(8). Sort a, 0, c in decreasing order.\nAnswer: a, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 29 = -7. Let l be (-580)\/(-16) - 1\/4. What is the highest common factor of i and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n - h - 20, 3*n - 3*h = -48. Let o be 3\/n*-4 - -13. Find the third derivative of -17*f**2 + 4*f**3 + 0*f**3 + f**2 + o*f**3 wrt f.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-1)\/(-3)). Let b(l) = -l**3 + 6*l**2 - 3. Let y be b(6). Let x(g) = 2*g**2 + 4*g - 1. Let c be x(y). Sort n, c, 1.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12790536 and 2325552.\nAnswer: 25581072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/40*(-20)\/6*(-6216)\/(-6475)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5868330196.\nAnswer: 2, 19, 77214871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 + 119*x + 50*x**2 - 58*x - 60*x.\nAnswer: 70*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjcc when four letters picked without replacement from {j: 2, c: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 6)*(-65*s - s - 147*s + 5*s) in the form o*s + g and give o.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614336157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) + -1 + -36. Let z = r + 46. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*c = -150*c - 12153. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693748 at most as big as 7631232\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*d + d + 4 = 0, -4*v = -2*d - 36. Is ((-674)\/5)\/(-2 - (-18)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 80 = 2*m. Suppose -3*b + m - 4 = 0. Suppose -b*d + 3*i + 38 = 2*i, -5*i = -d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 10*q + 305. Let v be o(15). Let k(s) = 12*s - 15. Let b(n) = 84*n - 104. Let p(x) = 3*b(x) - 20*k(x). Is p(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 143. Let r = 110 - y. Suppose 0 = -4*g - a + 56, -3*g = -a - 50 + 1. What is the greatest common factor of r and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*y - 2)*(8 + 5*y - 8).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622197177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**3))\/(f*f**(-7)\/f*f*f)*(f**1)**14 assuming f is positive.\nAnswer: f**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d, -5*c + 0 = d - 1. Suppose 2*a = 1 + 1. Put 5, c, a in increasing order.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6765 and 2310?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202230 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/9 + 2\/(-3). Let w(c) = -c + 5. Let g be w(a). Find k, given that g - 2\/3*k**4 + 2*k**3 - 2*k**2 + 2\/3*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 16*u**2 + 16*u - 17. Calculate g(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 107776 and 107824 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10252 - 6?\nAnswer: -10258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -736763504472 + 0.53\nAnswer: -736763504471.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1095 + 681 + 705)*(7*m + 10 - 10)*(4*m + 0*m - 2*m).\nAnswer: 4074*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 304, 1\/3, 2\/6049?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5\/(-6))\/(-5))\/(14\/(-21)). What is the closest to 1\/5 in d, -3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejewjwjewwjw. What is prob of picking 2 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -5*r, 0*g - 12*g + 4*r + 32 = 0. Which is the closest to 8? (a) -2 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -43b9330?\nAnswer: 43b9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40934620745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1553 (b) -2\/5 (c) 0.7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = 9 + 39 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/80*(-9)\/(-21)*(-800)\/(-768)*-4.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 181 (b) 0.8 (c) 0.22 (d) 1\/4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:50 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22 and -29\/381924?\nAnswer: 381924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75299564 is divided by 1055.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 = 2*g + 9. What is the second biggest value in 0.1, g, -1, -7, 8.7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 1, p: 1, c: 1, l: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let t(j) = 8*j**2. Suppose 4*q + 4*z = -0*q + 72, 5*q - z = 114. Calculate the remainder when q is divided by t(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 62. Let u = z - -83. Suppose t + t = 28. Calculate the greatest common divisor of t and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -9.99999954. Round c to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Let z(q) be the third derivative of q**5\/30 - q**4\/12 + q**3\/2 - q**2. What is the units digit of z(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -219831, -4, -58 in increasing order.\nAnswer: -219831, -58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0385? (a) 1 (b) -6 (c) 1\/1451 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 5, -746, -1 in ascending order.\nAnswer: -746, -59, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (-14)\/(-21)*102\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 n when three letters picked without replacement from ionin?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b - 48. Suppose 5*i + 6 = -9. Let h(y) = -y**3 - 3*y**2 - 5*y - 3. Let k be h(i). Calculate the greatest common factor of k and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19\/q*q*(q**(-21)\/q)\/q assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21 - -3.21. What is the closest to 2 in x, 4, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 18*m**2 + 6881367022*m + 15*m**2 - 6881367022*m.\nAnswer: -3*m**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 285187976 from 32.1.\nAnswer: -285187943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 j when four letters picked without replacement from jjqlmjm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -76*k**3 + 95*k**2 + 95*k - 95. Let r(y) = -y**3 + y**2 + y - 1. Let x = 2470 - 2471. What is x*v(o) + 95*r(o)?\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n*n**(2\/23)))\/n*n))\/n)**(-9)*((n*n*n\/n**(-1\/12))\/n)\/(n*n**(-4\/3)*n) assuming n is positive.\nAnswer: n**(175\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -200551230?\nAnswer: -200551235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -9. Let c(m) = -4 - 5*m - o*m**3 + 2 + 4. Let d(j) = 4*j**3 + 3*j - 1. Calculate 3*c(a) + 5*d(a).\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = w + 86, 3*a + 23 = 4*a - w. Suppose a = 2*b + 5. Suppose -34 = -5*d - p + b, 2*d - 3*p = 10. Calculate the greatest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3336 or -1?\nAnswer: 1\/3336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -0.1692, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -186*r**3 - 17*r**2 - 34*r + 13. Determine w(-2).\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -397 + -4?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 19*b**2 - 21*b - 41. Let x be h(-20). Is -19 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 7, -4 in increasing order.\nAnswer: -4, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1) + (-18 - -25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*l - 24352, -56010 = -2*g - 2*l - 7418. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -61) + (-448)\/(-112). Solve -u = 490*y - 477*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37920138*m*n - 15*n - 367293 wrt m.\nAnswer: 37920138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1019, -1073, -1123, -1169, -1211, -1249?\n\"Answer: 2*t**2 - 60*t - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -521002*w**2 + 536479.\nAnswer: -1042004*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 123530041?\nAnswer: -123530040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.091 - 0.591. Sort u, 5, -3, 3 in increasing order.\nAnswer: -3, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -105, -454, -1141, -2280?\nAnswer: -3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/5040 - 7*o**6\/720 + 7*o**5\/60 + 7*o**2. Let i(y) be the third derivative of m(y). Give i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 73 = 2*m - k, -97 = -3*m + 5*k. Let w be (-2)\/m*8\/(-6). Let x = -5.07 + 0.07. Which is the second smallest value? (a) x (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 62*o**3 + o**2 + 2*o - 3. Is l(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x**2 - 16*x**2 + 3*x**2 to the form n*x + s + d*x**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 145, 0.06, -1\/4, 5.12, 0?\nAnswer: 5.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/3 - 9*z**2\/2 + 3*z - 28. Let y(r) = 2*r**2 - 17*r + 6. Let t(q) = 5*w(q) - 2*y(q). Let v be t(10). Sort 0, -4, v, -2.\nAnswer: v, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wur when three letters picked without replacement from wwrwwruwuww?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x - 13 = 0. Let j be (-4)\/4 + x - 0. Solve -5*w - 5*k - 5 = 0, -5*k + j - 41 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t**4 + 2*t**2)*(-5 + 2 + 2) + (4 + 2 - 5)*(17 + 151*t - 212*t**4 - 13 + 213*t**4).\nAnswer: 2*t**4 + 151*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 0*w + 5214*w**3 - 18*w**2 - 5215*w**3 + 290*w - 290*w + 9*w**3 + (-4*w + 2*w**3 + 4*w)*(2 - 4 + 3) to m*w + v*w**2 + b + x*w**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1559322, 3118686, 4678046, 6237402, 7796754, 9356102?\nAnswer: 10915446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1748*c**2 + 209*c. Let u(y) = -50*y**2 - 6*y. Let p(w) = -6*o(w) - 209*u(w). Let f(n) = -9*n**2. Calculate p(f(i)).\nAnswer: -3078*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 209 - 419 + v + 222. Let a be y(-9). Solve a*j - 15 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 28431?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51+-8.93\nAnswer: 42.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 525850*o**3*s**3 + 2*o**3*s + 4*s**2 + 11159 wrt s.\nAnswer: 3155100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21313.\nAnswer: 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.947109 to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/28 - 1118\/(-14). Suppose -y + p = 4*y. Calculate the least common multiple of (-2)\/(-3)*(-4 - -16) and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120042 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*c + c**2 - 24*c - 18*c)*(-9*c**3 + 411 - 411).\nAnswer: -9*c**5 + 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42533159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9077\/88 at least -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19080 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381320028*p**2 - 16342938*p - 7.\nAnswer: -762640056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 25*t**2 + 956*t + 62248. What is w(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.71 - -4.29. Which is the smallest value? (a) 3 (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34855.\nAnswer: 5, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*z - 70*z + 107*z)*(-z + 4*z - 5*z)*(3 - 5 + 1 + (-2 - 1 + 5)*(4 - 3 + 1)).\nAnswer: -846*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1047?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6 - 7*l - 8*l**2 + 5 - l**3 + 2. Give n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 4. Let f be s(-3). Let t = -41 - -37. Let w = f - t. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1327, 1837, 2685, 3871, 5395, 7257, 9457?\nAnswer: 11995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 97\/20*h**5 - 36*h + 1\/3*h**4 + 1\/2*h**2 - 2 + 0*h**3. What is the third derivative of u(s) wrt s?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -7. Let o be 7\/63*-3 - 2\/3. Which is the third smallest value? (a) -2\/3 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*w + 6 = 0, 11*w + 15 = -3*u + 6*w. Let t be (63\/84)\/(27\/(-8)) + u. What is the biggest value in 3, t, -2\/11, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*l + 76, 2*t + 2*l - 205 = -3*t. Let g = t - 31. Let p(n) = n**3 - 5*n**2 - 5*n - 9. Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8136 + 8143. Let k(v) be the second derivative of 0*v**3 + 1\/6*v**6 + 4*v + 0 - 5\/42*v**l + 0*v**4 + 0*v**2 + 1\/2*v**5. Find m, given that k(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 102 + 204 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-35) - -2*(-6)\/(-14). Let q(o) = 48*o - 8. What is the tens digit of q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 - 113*u + 88. Let h be c(-38). Calculate the highest common divisor of 1700 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 16. Suppose -4*g + 7*b + 9 = 2*b, 21 = g + 5*b. Let t be u(g). Let d be 172800*((-8)\/(-6) - t). What is d rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 21889.789.\nAnswer: -87559.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 + j + 1. Let i be f(4). Suppose 5*u + 7 - 12 = 0. Suppose -4 = -5*w + u. What is the highest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*q**2 + 63*q - 9*q**4 + 7*q**4 - 44*q as l + f*q**2 + u*q**4 + h*q + x*q**3 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17*q**3 - 4 + q - 9*q**3 + 9*q**2 + q**2. Let t be g(-9). Let k = t - -100737\/20. Find the common denominator of 45\/16 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 5700*n**2 + 32492*n - 2219316.\nAnswer: 4*(n - 17)*(n + 23)*(n + 1419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12132*u**3 - 10049*u**2 - 2*u wrt u?\nAnswer: 72792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -20 + 5. Suppose -40 = 5*z - 10*a + b*a, 0 = -4*a + 8. Is -3 - (z - -3) - -56 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685 + 11*s**3 + 675*s + 17*s**3 - 23*s**3 - 105*s**2 - 481 - 209 = 0 for s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n + n, -5*g = -4*n - 25. Let h be 60\/(-8)*(-4)\/6. What is the remainder when g is divided by h + 3 + -6 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.236 - 0.236. Which is bigger: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-10)\/u)*u)\/(u\/u**(-5)*u)*u*(u*(u\/((u*u**(-2\/23))\/u))\/u)\/u*u**18\/u)**(-45) assuming u is positive.\nAnswer: u**(-24930\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -91. Let k = n - 22. Suppose 0 = 4*o - 24 + 8. Which is the closest to 0.2? (a) o (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2 (c) 57100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, o: 1, y: 2, r: 1}. What is prob of sequence yo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 91*x**2 + 77*x. Let n(f) = 7*f**2 + 6*f. Suppose 2*a - 5*a + 18 = 0. Let r(j) = a*l(j) - 77*n(j). Let b(d) = d. Calculate r(b(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11564 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2284 + -2258. What is the third smallest value in 3, m, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8 - 18 + 8 - 2*w. Let b = -2 - -6. Suppose 0 = -2*y - i - b, -y + 9 = 3*i + 1. Let v(n) = 3*n + 2. Give y*r(f) - 3*v(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99893432 - 36693432. What is w rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16 + 13 - 37)*(2 + 2 + 0) + (4 - 4 + 1)*(0 - 4 + 3) + 1 - 3 + 1 - 2 + 4 - 1)*(12*b**2 + 56*b**2 - 13*b**2).\nAnswer: -1815*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (96\/(-2))\/((-315)\/84 - -3) and 104?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423374 + 4846747 - 2423373 - 106*i**2 + i.\nAnswer: -106*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 23*i + 234576*i**2 - 15*i - 234581*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/35, -0.014, -0.2, 71 in ascending order.\nAnswer: -0.4, -0.2, -2\/35, -0.014, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2a8?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -2412. Let l = n - 9597\/8. Let z = 12941\/8 - 1605. Find the common denominator of z and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(1100) - sqrt(121)\/sqrt(176))**2 + 3.\nAnswer: -16707\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -499.01 + 502. Let f = 0.01 + i. Let p = 0 - -0.2. Which is the third biggest value? (a) 5 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) -4 (c) 3237734 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x + 2. Let d be a(-1). Let v = 34 - d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2*n. Let x be n - 0 - (-2 + -2). What is the second derivative of -x*g - g**3 + 2*g**3 + 5*g wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2644 or 38?\nAnswer: -2644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4 + 248*n**3 - 6772*n**2 - 48632*n - 41610 = 0.\nAnswer: -5, -1, 57, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -2 + 11 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:41 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 195625503 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0.08, 0.2, 5.\nAnswer: -4, -2, 0.08, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 4*o - 31, 2*q + 3*o = 15. Solve -2*b + x = -0*b + q, 5*b = 2*x - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 3\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/11 (c) -5\/4 (d) 539\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, t: 3}. What is prob of sequence nttt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t + 90. Calculate g(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10751603371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 3*l + 2. Let g be d(2). Let c(y) = 5*y**3 - y**2 + 1. Let b be c(1). What are the prime factors of b\/(-15) + g\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/((-236)\/118)*9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 9, 2623, 4, -4 in decreasing order.\nAnswer: 2623, 87, 9, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510\/(-765)*(-102)\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/885 - -10919\/1770. Calculate the common denominator of p and -38\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161821261.5 take away -684.5?\nAnswer: 161821946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/309880 and -121\/309880.\nAnswer: 309880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 64897586.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuv when three letters picked without replacement from zmuvuvmvvuvuevvu?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*r + 12*r = 0. Let v(y) be the first derivative of -19*y + 48\/5*y**5 + 0*y**4 + 0*y**2 + r*y**3 + 15. Find the first derivative of v(n) wrt n.\nAnswer: 192*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*a - 2*a. Let g be 306\/8 + a\/((-8)\/(-3)). Let u = -24 + g. Is 15 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5\/12 (c) 14 (d) 0 (e) -5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*u = -14, -5*x + 9*x - 19 = -u. Suppose x*a - 11 - 67 = -5*b, -2*b - a = -33. Solve 6*q = 12 + b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 6*r - 4*q - 21, 3 = 3*r + 3*q. Solve -5*d**2 - 70*d + 2*d**5 + r*d**2 + 72*d + 2*d**2 - 4*d**3 - 1 - d**4 = 0 for d.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyzyzohhzzohhhooho. Give prob of sequence oo.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbljjjljjjjljjj. What is prob of picking 2 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*w - 608*w = 693*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z + 93. Let c = 17 + -34. Let w = z + c. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 121.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/252)\/(((-7)\/4)\/7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*g + 205*g + 1515*g + (-5 + 3 + 1)*(-g - 3 + 3) as v + k*g and give k.\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -38*q + 1. Let j be p(-1). Suppose -2*d + 11 = -j. Solve 0 = -7*v + 2*v - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(468) + sqrt(468))*1 + -1.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/5 - 4\/10. Suppose t*j + 190000 = -j. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 91*a + 40. Let l(u) = -u**3 - u**2 + 5*u + 4. Let h be l(2). Does 7 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 3, -15040, -5, 4, -4.\nAnswer: -15040, -5, -4, 3, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*r - 39, 0*n - 4*n = -4*r + 24. Sort -1, n, 2 in ascending order.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/592 and -13\/2812.\nAnswer: 11248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -85. Let r be ((-2 - -6) + b)\/(-3). Suppose 4*k + 44 = 24. What is the closest to r in k, 3\/10, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1797145\/29828 + 2\/7457. Let t be -1 - -2 - (-56 + -3). Let g = t + o. Calculate the common denominator of g and -69\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -76 (c) 3 (d) 1075\/4 (e) 0.5 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1159 + 1163. Solve 3*i + 10 = -d*p, 11*p - 13*p = -i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4 - (37 - (14 + -7))) + (-4 - -5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389310541 is divided by 2018.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, q: 1, k: 2}. What is prob of sequence kq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-957)\/18) + (-20)\/120. Find the third derivative of 3 + f*k**4 - 12*k**4 - 29*k**4 + 29*k**2 wrt k.\nAnswer: 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*s + 110*t - 109*t, 4*s + 4*t = -12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-2)*-1070827)\/2. Suppose -15*a + x = -16458346. What is a rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -228708.\nAnswer: 5\/114354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3 (b) 0.1 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*v - 24500, 4*o - 5*v - 1531 - 18071 = 0. Let y = o + -44155\/9. Find the common denominator of -45\/11 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-63)\/(-19656)*24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52808\/3, 0.5, -11.\nAnswer: -11, 0.5, 52808\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from wwhhwhwwq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + (495\/12)\/15. Solve f*w - 5*j = 10, 3*j + 0 - 23 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -237. What is the remainder when s is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-6)*4890\/5705?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*d + 67 + 641*d - 322*d - 21 - 46.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215cf (base 16) to base 10.\nAnswer: 136655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16453 - 345403\/21. Find v, given that -4\/21 + s*v**3 + 16\/7*v**2 - 10\/21*v + 8\/3*v**4 = 0.\nAnswer: -1, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:33 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {z: 7, b: 6, n: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 9) in base 12?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 16}. Give prob of sequence yyy.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270997787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2. Let g(o) = 26*o**2 - 8*o - 22. What is 10*b(a) - g(a)?\nAnswer: -16*a**2 + 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141762531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-2*sqrt(3) - sqrt(3))*6 - (1*(sqrt(297) - sqrt(33)) + sqrt(33) - sqrt(33))\/(3*-1*sqrt(11)).\nAnswer: 4 + 110*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of ((-11250)\/(-200))\/(-1*(-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -14\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 281.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/4)*z*z\/z**(-9\/4)*z**(-1\/10)\/(z\/z**2*z) assuming z is positive.\nAnswer: z**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.18177 millilitres?\nAnswer: 0.02318177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 103. Let i = 54.95 + k. Let p = i + 2.765. Round p to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3801 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + -1 + 7 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0 + 0*q**3 + 0*q - 1\/60*q**5 + 2*q**2 + 0*q**4. Let y(o) = -3*o. Calculate y(f(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 15*a + 139*a + 5*a**2.\nAnswer: 5*a**2 + 154*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)*3*1)\/sqrt(8))\/((-3*sqrt(22))\/sqrt(2)*2) + 5)**2.\nAnswer: -5*sqrt(5) + 105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*o, -o + 6*o - k = 4. Let z = 8 + o. Suppose -2*m - 49999994 = h + 3*h, 3*m = z. What is h rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19118115 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + 0 + 2 + -3. Suppose 0 = h - 5*h - x. Let d be h\/((-6)\/(-2) + -2). Put 3, 2, d in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + 49\/21. Let l(w) = w**3 - 4*w**2 + 5*w - 3. Let u be l(d). Let i(s) = u*s + 3*s + s + 7 - 5*s. What is i(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24))**19*(j*j**(-27))**42 assuming j is positive.\nAnswer: j**(-1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - -1*sqrt(7)) + 1 - (sqrt(28) + 1))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/120*-3 + (4 - (-22)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262054 is divided by 161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 - 4*v - 4. Let i(n) = -n - 1. Let z(x) = 4*i(x) - l(x). Let w(k) = 3*k**2. Let b(f) = -2*f**2. Let q(o) = 4*b(o) + 3*w(o). Give z(q(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.6 and 0.4.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -146609?\nAnswer: 5\/146609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*w + 95*w - 2 - 145*w.\nAnswer: 37*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 1286 = 1366 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*b + 159 = 0, -33 = -o - 3*b + 118. Suppose 85*p - o = 87*p. Is p equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579345 is divided by 623?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.5 - 74. Let i = 8 + p. What is the fourth biggest value in 5, 2, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*u - 9 - 1, 0 = 4*u - 3*m - 20. Suppose u*f + 101 = 4*t, -4*f = 2*t - 6*t + 104. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)*w**(-4)*w*w*(w*w**(5\/2))\/w**(-1\/3))\/(w**(-1)\/(w*w*w*w*((w**(-2\/7)\/w)\/w)\/w)*(w*w**(2\/5))\/w**(-4)) assuming w is positive.\nAnswer: w**(-431\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*j - 2 = -13, -4*d = -5*j + 6. Suppose -2 = -3*s + d. What is the smallest value in 0.5, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 4*a + 8, -4*w + 2*a = -4. Let x(r) = -r**3 - 2*r**2 + 2. Let c(p) = -3*p**3 - 7*p**2 + 7. Give w*c(f) - 7*x(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12392 in 8, -4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/100, 201, -0.04, -3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 - 8*i + 3. Calculate f(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3888 and 47088?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217e (base 15) to base 7.\nAnswer: -26453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4555900 or -50114895\/11?\nAnswer: -50114895\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 813*d**4 + d - 62?\nAnswer: 9756*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*d + 20022 - 55907 = 0, 3*s + 2*d - 21531 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -2216*n + 2204*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 - -203313?\nAnswer: 201233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from ycccccyccycycc.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Let i = -4 - -8. What is the least common multiple of w and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1692 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 452582.027?\nAnswer: 452578.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13795451197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/4)*u)**(-7\/5))**(-23) assuming u is positive.\nAnswer: u**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1492)\/(-1865))\/(6\/165)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 17. Let f be d\/5 + 1 + 2. Suppose f = 3*s - 5 - 10. Which is the smallest value? (a) 3 (b) s (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - -5278?\nAnswer: 5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {k: 1, a: 3, t: 9, v: 1, d: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.917101 to 2 dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13240000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 18*y**2 - 18*y. What is q(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 40*c**2 - 5 + 11*c**2 - 4.\nAnswer: -29*c**2 + c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 2 (c) 2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7907*x = 7906*x + 13, -4*w - 2*x = -20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 473, 432, 359, 248, 93, -112, -373, -696?\n\"Answer: -l**3 - 10*l**2 - 4*l + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - 1218\/15. Let j = 114 + k. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Let p = 2\/206707 - -186242991\/1653656. Let u = -113 + p. Which is the smallest value? (a) u (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6014167 and 31210?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 - 4303*n + 4752 - 7421*n + 8647*n with respect to n.\nAnswer: -2*n - 3077","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 - 2*q**3\/3 + 25*q**2\/2 - 6*q - 2. Let t be p(0). Solve h - 5*l + t = 3*h, 0 = l - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3057 - 2991. What is the remainder when g is divided by 326\/9 + (-4)\/18?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-42)\/52) - (-6)\/(-21). Which is the nearest to 0.4? (a) 0.1 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a - 46. Let t be x(7). Solve -6 = t*h + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8499 divided by -3\nAnswer: -2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 47. Let m(w) = -2*w - 8*w**n + 2*w - 2*w**2 + 1 + 2*w + 10*w**3. What is m(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -129614*d + 5962239. Determine x(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 74, 116, 152?\n\"Answer: -3*n**2 + 57*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79885, 319591, 719115, 1278457?\n\"Answer: 79909*b**2 - 21*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*y + 12 = -b, -4*b + y + 4 = 0. Which is smaller: b or 1\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose -4*p = -3*n + 3, k*n - 3*n + 2*p = -3. Let i(u) = 0*u**2 + 64 - 2*u + 7*u**3 + u**2 - 63. Determine i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 21*a - 3. Let v = -25769 + 25769. Let h(o) be the third derivative of v + 0*o + 0*o**3 - 16*o**2 + 1\/60*o**5 + 0*o**4. What is h(g(c))?\nAnswer: 441*c**2 - 126*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2191 + 3772. Let n = v - 805. Suppose -74 = -w + n. Round w to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(1\/22))**(-47)\/(((v*(v\/((v*v**(1\/6))\/v))\/v)\/v**(-3))\/(((v\/(v\/(v**(2\/3)\/v)))\/v*v)\/(v*v*v\/((v\/(v**2*v))\/v)))) assuming v is positive.\nAnswer: v**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 27*y. Let d be z(9). Suppose -w + 241 - 207 = d. Calculate the highest common divisor of 306 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-2)*3\/(-4). Let u be (112\/l)\/4 + 3. Which is the second smallest value? (a) 5 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.18854, -131, -5\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:17 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 + 3*c + c**4 + 32 + 39 - c**2 + 34 to k*c + s + f*c**4 + h*c**3 + g*c**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/96034 and 9\/8.\nAnswer: 384136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87354, 87325, 87598, 88323, 89650?\nAnswer: 91729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 + 4*x + 5. Let w be o(5). Let d = 0 - w. Let n(u) = d + 1 + 3*u**2 - 3*u + 2. Calculate n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {o: 2, w: 1, i: 1, j: 1, k: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*c + 59, 5*h = -c + 60. Solve -h*z = -40 + 51 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*g + 670, -6*d - 2*g = -11*d + 1686. Let h = 343 - d. Sort h, -11, 0 in decreasing order.\nAnswer: h, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*k = -4*k + 3458, 6938 = 4*f - 3*k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose -2*d + 4 = y, -2*d + y + 17 = 3*d. Factor -p**3 + 5*p - 5*p - 2*p + 0*p**j - d*p**2.\nAnswer: -p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/7))\/((v**(-1\/4)*v)\/v)*(v**1)**(-2\/103))**(2\/43) assuming v is positive.\nAnswer: v**(4373\/62006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 20 + 14 + 5*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1584) + -3 - sqrt(1584)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 14) + (-1 - -3) + -3 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*j*s*t**3*v + 6*j*t**3 + 2*j*t*v**2 - 2*s*t**2*v**2 + 3*v**2 + 1 with respect to s.\nAnswer: 200*j*t**3*v - 2*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20) + -4 + (5 - 295\/175).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9221137 to the power of 1\/2, to the nearest integer?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1191, -2382, -3573?\n\"Answer: -1191*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89\/126 - 13\/14. Let l = 2.4 - 0.4. Let t = l + -2.1. Sort 0.1, t, x in ascending order.\nAnswer: x, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*j + 37*j + 46*j as n*j + u and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 15*l**2 - 13*l + 13. Let a be c(-14). Let k be (a - 0)\/(1\/(-3)). Suppose k*u + 1 = -2*n + 2, 8 = 4*u - 4*n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -2, -5, 1 in ascending order.\nAnswer: -12, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9487 is divided by 3106.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhththhhnhh. Give prob of sequence nh.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - 11*j = -4*j - 1800. Solve -10*p = j - 105 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 109*s - 103 - 109*s + 103.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4357, -4506, -4655, -4804, -4953?\nAnswer: -5102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*j + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -116.21.\nAnswer: 116.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 7*w + 6. Suppose 10*x + 3*s + 27 = 5*x, 3*x - s = -19. Let y be u(x). Which is the second smallest value? (a) -1\/5 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u - 550. Let w = u + 175. Calculate the highest common factor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 27, 31, 35?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*y - 7*y**2 - 131*y + 2*y**3 + (-2*y**2 - 3 + 3)*(19*y + 12*y - 13*y) - 2*y**3 - 2*y**3 - 2*y**3.\nAnswer: -40*y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from uuuauauu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30784 > 12324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 92?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54739 - 14232199\/260. Find the common denominator of z and 48\/7.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4095371052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19933, -19939, -19945?\n\"Answer: -6*a - 19927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 1, 5, -3, 4, -27.\nAnswer: -142, -27, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/16 and 1\/1670.\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7)*k)\/(k**(2\/7)*k))**(-2\/93) assuming k is positive.\nAnswer: k**(-2\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25.4, 21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let c = -0.61 - -0.76. Let i = c - k. Round i to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 4*l**4 - 228*l**3 + 230*l**3 + 1 - 2*l to the form i + r*l + j*l**3 + h*l**2 + a*l**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-270)\/(-585))\/((-3)\/(-26)). Solve 2*b - 11*d = -7*d + 2, -4 = -4*b - g*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrxle. Give prob of picking 1 l, 1 x, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -29, -52, -85, -128, -181, -244?\n\"Answer: -5*d**2 + 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 1. Let n(o) = -8*o - 1. Let y(p) = -n(p) + 3*t(p). Let r = 8 + -5. Calculate the remainder when y(2) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(175) + sqrt(175))*4)**2 + (4*-3*sqrt(175) - sqrt(175))**2.\nAnswer: 29576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 8 = -4*h, 3*a = -4*h + 8. Let j = -2 + 5. Suppose -j*b = -5*b. Solve b*s = 4*s - 3*n, 4*n = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 - 15 = 0. Suppose -3*a = -t*a + 2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(85)\/(-1*((sqrt(5)*-1 - sqrt(5)) + sqrt(5)) + sqrt(5)) - (-1 + sqrt(425) + 2*sqrt(68) + sqrt(68))))*1.\nAnswer: -21*sqrt(17)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.84 + -0.16. Let g = x - -28. Let k = -1\/100 - 193\/700. Which is the biggest value? (a) g (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/153 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Let b be (p - -1)*11\/3. Suppose 3*m - 12 = 2*a + b, 25 = 4*m + 3*a. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 790713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90, 827, 5?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -701?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 18672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 10*a**3 - 5*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20050.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 19. Let j be k(-7). Let v(x) = 9*x + 0 - 1 - x**2 + 12. Let q be v(10). Solve p + q = j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -31\/3. Let u = 164175 + -1643557\/10. Let n = 181 + u. Sort n, b, 5 in decreasing order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-10) - ((-5343)\/195 - -28). Suppose 0 = -3*t + 2*j - 2, 5*t + 3*j = -j + 4. Sort t, 2, v in descending order.\nAnswer: v, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -13 + -63 + 37 + -52.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0 + 20. Suppose -5*j = 4*o + 32, -2*j - 24 = s*o - o. Let m(b) = -b**3 - 8*b**2 - 3*b - 10. Calculate m(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) - (-44)\/6. Let l be (-154)\/y - (-4)\/(-12). Let q be 8\/l*(-5)\/10. Which is the second smallest value? (a) -0.4 (b) 3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132100201231 (base 4) to base 8.\nAnswer: 36204155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 900*x - 67500.\nAnswer: -3*(x + 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1872 = -k. Suppose -4*g + k = -988. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 (base 16) in base 12?\nAnswer: -b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/2, -2, 1\/5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604601*t**2 + 179585*t**2 + 0*t + 0*t.\nAnswer: -425016*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397876.\nAnswer: 2, 17, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 223, 222, 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29931 + 0?\nAnswer: 29931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948187125 to the nearest integer?\nAnswer: 30793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -60*f - 25. Let y(w) = 5*w + 5. Suppose 6 = -3*t + 12. Let u(h) = 5*h + 4. Let i(p) = t*y(p) - 3*u(p). What is -2*a(g) + 25*i(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c + 29. Let h(l) = -l + 6. What is -2*g(a) + 11*h(a)?\nAnswer: a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-5733)*(-14)\/18.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.1, -13, -2 in decreasing order.\nAnswer: 0.1, -2\/3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4 + 580*j**3 + 33320*j**2 - 1319440*j + 2500992 = 0.\nAnswer: -72, 2, 26, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-7))\/(21\/147). What is the tens digit of (-4)\/b*-3 + 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w - w)*(-4*w**4 - w**4 + w**4) + 3*w**5 + 0*w**5 - 2*w**5 + w**5 + 2*w**5 - 6*w**5 + (-14*w + 20*w - 74*w)*(-2*w**4 + 6*w**4 - 2*w**4).\nAnswer: -122*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531233 (base 6) to base 2.\nAnswer: -1010100001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5453 + -3343. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.3 + -15. Let g = 0.7 + i. Which is the closest to -1? (a) g (b) 2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 57*l**2 - 32*l + 89. Let u be (-7)\/(33 - -2)*-145. Let h be j(u). Suppose 0 = 5*p + 6 + 19. Sort h, p, 8 in ascending order.\nAnswer: p, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456\/13 + 925\/26. Which is the third biggest value? (a) 4 (b) -50\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.0000664 - -13. What is b rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/5)*m*m*m*m**(-2\/3)\/m)\/(m*m*m**2*m)**(-9\/4)*m**5*m*m**(-8)*(m**(-1\/2))**(-47) assuming m is positive.\nAnswer: m**(2081\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*y**4 - 249*y**4 + 2*y**3 + 8*y**2 + 1 + 126*y**4 + y in the form g*y**3 + o*y + d*y**2 + w + v*y**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144*j + 3148*j - 10 = -2*m, m + 10 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692104?\nAnswer: 2, 7, 17, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -940*d - 34. Let p(n) = -313*n - 12. Let b(x) = -5*j(x) + 14*p(x). What are the prime factors of b(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j - 0. Let n be j\/(-6) + 2\/6. Let g = 95 + -95.1. What is the third smallest value in n, -2, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33004013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*p**2 - 54*p**2 - 18*p**4 + (-1 + 5 - 5)*(2*p**3 - 2*p**3 - p**4) + p**4 - 2*p**2 + 2*p**2 as y*p**3 + f*p + c*p**4 + w*p**2 + h and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:14 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6463 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61228627717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 332699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11. What is the nearest to g in -4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0, 12\/3977, 0.65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/387?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)\/(k**(-6)*k)*k**(2\/5)*k**(3\/8) assuming k is positive.\nAnswer: k**(231\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*r**4 - 12*r - 673 wrt r.\nAnswer: 156*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -69. Suppose 0 = m - d - 73, 5*m - h*d + d - 380 = 0. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**2 + 21*s - 2. Let d(j) = -22*j**2 - 66*j + 6. What is -5*d(o) - 14*f(o)?\nAnswer: -44*o**2 + 36*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 38*f - 11. Determine z(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 10\/27 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1075127251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400 a factor of 71462400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 7*r + 18 + 32 + 2*r in the form x*r + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000078928 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 1 = 2*u + f, -u - 7*f = -152 + 184 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, -32, -217, -584, -1193, -2104, -3377?\n\"Answer: -10*f**3 - f**2 + 10*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 + 1871*g**4 - 2*g**3 - 15*g**2 - 27*g - 3.\nAnswer: 120*g**2 + 44904*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 - 9749*w**4 - 28*w**2 - 2105 wrt w.\nAnswer: -120*w**2 - 233976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-225))\/(1\/(27\/(-6)))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 x when three letters picked without replacement from cccccxccblccc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 183 = -5*y, y + 11 = -3*v - 30. Let q = 0.153 + 0.347. What is the closest to 1 in q, -3, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 18. Calculate the remainder when (315\/28)\/(-15)*-36 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = -4*z. Let r(v) = -v + 2. Let w be r(z). Suppose 0 = 3*q + 2 - w. Put 3\/4, q, -2 in descending order.\nAnswer: q, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/(j\/(j\/j**(-20))))\/j))\/j)\/((j\/j**(-2\/93)*j)\/j))\/(j**(-1\/20)\/j)**(-1\/11) assuming j is positive.\nAnswer: j**(-432053\/20460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 7*t - 766. Suppose 2*f - f + 4*v - 69 = 0, 4*f - t = 4*v. Suppose 0*g - 3*g = 2*h - f, -h - 62 = -3*g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 104*r**2 + 352*r = 0 for r.\nAnswer: -22, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-14))\/(w*w*w\/(w*w*w*w\/((w*w**19*w*w*w*w)\/w)*w)*w))\/((w\/(w\/((w*w\/(w\/(w\/w**(-9)))*w)\/w)))\/w**22) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145\/4 - 37. Let k = 3 + -3. Let i = k + 0.4. What is the third biggest value in i, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:57 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:36 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**4 - 162*y**3 + 157*y**2 + 2*y + 2. Let z(u) = -190*u**4 - 4375*u**3 + 4235*u**2 + 55*u + 55. Let v(x) = 55*i(x) - 2*z(x). Solve v(a) = 0.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 + s + 2. Let i be z(-7). Let c = -3 - i. Solve 2*p = 2*a, -3*p + c = p - 5*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/(w**(1\/9)*w))\/w)*w))**(-41)\/((w**(2\/17)\/w)\/w)**0 assuming w is positive.\nAnswer: w**(779\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7399 + 29?\nAnswer: 7428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 6:43 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((24\/140)\/6). Let l be 1\/1 - v\/45. Let k = 0.2 - 0. Sort l, k, -5 in increasing order.\nAnswer: -5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 11*l - 1871177*l**2 - 20*l.\nAnswer: -1871177*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Let q(c) = -c**3 + 8*c**2 - 3. Suppose -5*n - 2*f + 42 = 0, -3*n - 7*f + 6*f + 25 = 0. Let p be q(n). Sort l, p, 4, 8 in increasing order.\nAnswer: p, l, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106caa (base 16) in base 9?\nAnswer: -2020473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-3)\/(-48))\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539451201.\nAnswer: 3, 101, 1780367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 263. Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 21 = -3*f, -48*o - 13 = f - 53*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6220*p - 369. Is 91 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of (11 - 223)\/(11 + (-27841)\/2530)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2 - 2)*(h**3 + 3*h**3 - 2*h**3) - 262*h**2 + 262*h**2 + 325*h**5 + (h**4 - 1 + 1)*(-4*h + 2*h + 3*h) - 4*h**5 + 3*h**5 + 3*h**5.\nAnswer: 332*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 9*r + 18. Let d(y) = 9*y - 17. Let w(q) = -3*d(q) - 2*i(q). Let b be w(2). Solve 3*k - 2 = b*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*u + 3*p, -12*u = -15*u - 2*p - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -j + 27, -5*j + 5*p - 63 = -9*j. Let c = 211 + -7. Calculate the highest common divisor of c and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*s + 24 = 177*s. Let m(u) = u + 7. What is m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161571 (base 11) in base 5?\nAnswer: -31012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(10)\/sqrt(45) - (1*sqrt(10))\/sqrt(5)).\nAnswer: -2*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -30*w**2 - 1. Suppose 0 = -v - 2, 3*v + 4 = f - 3. Calculate m(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*x = x + 18, -4*x + 23 = 3*h. Solve -h*y = y + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0203 + 2.6513. Let t = r - -0.369. Sort t, 0.2, -52\/3.\nAnswer: -52\/3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82147008.\nAnswer: 2, 3, 427849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let g be 1\/(-9)*-3*3. Let i be (-48)\/(-84)*g*7. Put i, y, 1 in ascending order.\nAnswer: y, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 17*k - 26. Suppose 120 = -18*s + 12. Let t be v(s). Let x(b) = b**3 - 5*b**2 + 2*b + 5. Give x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131628 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((7 - -1)\/(-4))\/(15 - 12). What is the closest to 8 in j, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11001000110101101101010 (base 2) to base 11\nAnswer: 3795527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126*m**3*s**2 + 8*m*s**3 + 1191*s**3 - 2*s wrt m.\nAnswer: 378*m**2*s**2 + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - 11*o - 3. Let c(a) = 3*a**2 + 5*a + 1. Let y(q) = -5*c(q) - 2*s(q). Let j(h) = -5 + h**2 + 4 + 0*h + h + 0. Determine -4*j(b) - 2*y(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 576869.11 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {c: 6, h: 3, v: 1, g: 4, k: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 150. Let t(n) be the third derivative of 0*n**3 - n**2 + p*n**5 - 1\/30*n**6 + 0 + 0*n - 5\/24*n**4. What is the second derivative of t(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 661\/2, 0, -2, -1\/4, 0.03.\nAnswer: -2, -1\/4, 0, 0.03, 661\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27191*a**3 - 1271*a**2 - 55159672*a.\nAnswer: -163146*a - 2542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6897.82*35.\nAnswer: -241423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let g be 2*z\/(-2) - -37. Let h = -9 + g. What is the remainder when 73 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-95) + (-96)\/(-10). Solve 4*o - c - x = -11, 0 = 5*o + c - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-152)\/(-3))\/(3\/9). Is (-51)\/34*u\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/14, -0.2, 1 in descending order.\nAnswer: 1, -1\/14, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40478\/7 - 5668. Suppose 3*s = -294 - 51. Let r = o + s. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 28 = -61*p + 22*p + i, -4*p - 10*i - 56 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose z + v*s = 29, -2*s + 4 = -2. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 - 6786*x**2 - 1175709*x - 5708520 = 0.\nAnswer: -157, -5, 2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45\/737 + 2\/67. Let a = t - -29\/44. Let u = 3.042588 + -0.042588. What is the closest to u in -0.5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/7 - 20*(1615\/(-266) + 6). Solve 0 = -l - 5*h + 2*h - 12, 0 = -l + c*h + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*b + 102, 2*b - 3*b - 4*o - 54 = 0. Let l = -23 - b. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 279 (b) -42 (c) 30 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 11*f**2 + 15*f + 12. Let c be b(-12). Let h be c\/(-11) + 4\/(-22). Solve 4*d = 4*s, -3*d = d + h*s + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y - 575 - 3*y**2 - 68*y - 24*y wrt y?\nAnswer: -6*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -6. Let l = t + -28. Let b = -17 - l. Which is bigger: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621842 by 47834.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y*y*y**34))*y\/(y*y\/y**(-1))*(y**(-1\/4)\/y)\/(y*y**(-2\/23)\/y) assuming y is positive.\nAnswer: y**(3113\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (-1 - 5))\/(-1). Let l(n) = -n**3 - 2*n**2 - n. Let k(x) = -60*x**3 + 12*x**2 + 6*x - 43. Let w(f) = a*k(f) + 6*l(f). Differentiate w(d) wrt d.\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from {b: 1, d: 1, l: 1, s: 2, w: 1, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2634*n - 173816. Give s(-66).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -38*p + 9. Solve -5*a + 5*q + 35 = p, 22*a - q + 5 = 24*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.1 (b) 0.5 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + 36. Suppose -4*r = -4*s + 5 + 55, 4*s = r + 48. Let b = s - f. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4305 = 1008*s + 18600 + 3908 - 1613 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*n + 21*n + 12030 = -1544 - 736 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-335082)\/(-132)*((-29)\/(-1) + 3).\nAnswer: 2, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + m - 14754 = 0, -214*m = -211*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 2*l + 3*w, 5*w = -l - 0*l + 234. Suppose -7*p + l + 75 = 0. Find the first derivative of 19 + 16*f + 18*f + 11 - p*f wrt f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 3 - (-1 - 3). Let c = w + -2. Suppose c*m = 4*m. Solve 4*l - 4*g + 8 = 0, 0 = -m*g - 2*g - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310149 and 922789.\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*g - 2*g + 166, 0 = -2*g + z - 322. Let h = g - -230. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 3*o**4 - 6*o**4 + (0*o + 4*o - 3*o)*(-2*o**3 + 4*o**3 - o**3) + 4*o**4 + 25*o**4 + 24*o**4.\nAnswer: 55*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -54.1. Let y = 15 + h. Which is smaller: -1\/3 or y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2649a - 269?\nAnswer: -26747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -98951.003 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8257 >= -38320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 2 + 1 + -4. Let q(d) = 4 - i*d - 3 + 2 + 0. Let o(a) = a**2 + 9*a - 7. What is 2*o(t) + 5*q(t)?\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -91. Suppose -2 + 1 = y, -3*o + 5*y = -v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 125 (b) 3 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 1884 = 46812. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15514729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 3*g + 3*g + 2*g)*(5*g**3 + 0*g**3 - 3*g**3).\nAnswer: 4*g**4 - 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 4, 466, 0 in increasing order.\nAnswer: 0, 4, 5, 8, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(3 - 3 + 2)*(-1 + 3 - 5)*(-4*y**3 + 0*y**3 - y**3) in the form k + c*y**3 + z*y + o*y**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17985679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + ((-112)\/(-7) - 1). Let n be 5\/2 - (1748\/24)\/l. Which is the closest to n? (a) -5\/4 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - v**2 - 10*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1098961, 1 in increasing order.\nAnswer: 1, 5, 1098961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193010.\nAnswer: 2, 5, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -31*p - 8. Let m(l) = 127*l + 33. What is -9*f(c) - 2*m(c)?\nAnswer: 25*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (20*1)\/(-1). Suppose 2*d - 4*d - 6 = 0. Let c(u) = 5*u**2 - 2*u + 3. Let v be c(d). Calculate the greatest common divisor of h and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 2639 - 2627 + 5290)*(-4 - 6 + 6) to p + y*x and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5308.391 to the nearest ten.\nAnswer: -5310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 26529*y + 185749. Determine v(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584098 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175928 - 185560 = -191*r + 137213. Solve -32 = -2619*k + r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.402*-11601.\nAnswer: -607915.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(2\/3)*w*w))**(-38)*(w\/w**0)\/(w\/((w*w**(-1))\/w)) assuming w is positive.\nAnswer: w**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 27*n + 5 + 34*n - 18 - 8 - 58*n. Give t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5847 and 11317843.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240 + -244. What is the biggest value in -10\/9, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 4. Let l be m(-6). Suppose 2*p = -2*s - 16, 3*s = 2*p - 1 + l. Let a = 5 + p. Solve a = u - f, -4*u + f + 6 = -0*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = u + 5*w, 0 = 5*u - 5*w + 1 + 29 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 497*n**2 - 10361*n - 10857.\nAnswer: (n - 21)*(n + 1)*(n + 517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 224407823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, 114, 279, 454, 639, 834?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khh when three letters picked without replacement from hkkkkkkhkkkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/11 - 7352*d**2\/11 + 1258560*d\/11 = 0.\nAnswer: 0, 180, 3496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*h - 1 + 35, 0 = -4*c - h + 136. Let b = c + -14. What is the lowest common multiple of ((-12)\/(-10))\/((-3)\/(-15)) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**5\/c)\/c*c**13*c*c\/(c*(c\/c**(7\/5))\/c)*c**1 assuming c is positive.\nAnswer: c**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8669295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**2\/2 + l + 2. Let n(p) = p + 2. Let u(d) = -1. Let y(t) = 2*n(t) + 2*u(t). What is -12*a(o) + 5*y(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:43 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19166 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457, 949, 1469, 2017, 2593, 3197?\nAnswer: 3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 2.6.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -251428675 less than 16481?\nAnswer: 251445156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/((4\/14)\/(((-6336)\/(-154))\/36))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 4.5. Let u = -1 + p. Let i = -7.3 + 7.4. Which is the closest to 1\/3? (a) i (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 - 7056*q**2 = 0?\nAnswer: 0, 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 + 5*c**4\/4 + 5*c**3\/2 + 3*c**2 - 99*c. Calculate k(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -8. Suppose -b*h = -3*h - 16. Calculate the least common multiple of h and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*g + 608*g + 151*g + 679*g + 708*g.\nAnswer: 1612*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 4\/5*u**5 + 0*u**3 + 0*u - 7 + 3*u**2 + 0*u**4. Find the second derivative of l(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 130.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 890969 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 + (-88)\/16. Let z = 47 - 27. Let x be 1*(84\/z - 4). Which is the second smallest value? (a) 13 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037671992 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243489 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or 6?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:05 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 5*r + 36. Determine j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-170))\/(-1*(0 - 13)). Let f = -23427\/2210 + k. Calculate the common denominator of -39\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -39. Which is the nearest to i? (a) 6\/5 (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224449345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -305*a**2 - 4143 wrt a?\nAnswer: -610*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 1872309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1905 and 48 - 52 - (460\/24 - 0).\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8912 and 12196072.\nAnswer: 24392144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 5*k = 65, -i - k + 5 = 0. Let t(o) be the second derivative of o**3\/2 - 7*o**2\/2 - 6*o. Let l be t(3). Solve 0 = -0*p + l*p - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14*x + 8. Let h(u) = 11*u + 7. Let v(n) = -5*h(n) + 4*s(n). Let d(t) = 2*t**2 + 3*t - 1. Let b be d(-3). Let w = b + -11. Calculate v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 2. Let c(f) = -f**3 - 11*f**2 + 12*f - 1. Let m be c(-12). Let a(p) = -1. Calculate m*x(z) + 2*a(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 423*b*w**2 - 2*b*w + 3*b + w wrt w?\nAnswer: 846*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176202 divided by 311?\nAnswer: -3782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let k be n(-9). Let w = 61 + -2. Suppose k*r - 4*r - 274 = -2*x, x = r - w. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6142 = -22*g + 23*g, -2*y = 2*g - 4092. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -409914*n - 14835998?\nAnswer: -409914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 124, 128, 134, 142, 152?\n\"Answer: i**2 - i + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 325a2?\nAnswer: -325ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171280, -342485, -513690, -684895, -856100, -1027305?\nAnswer: -1198510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 + -5 + (-14 - -299) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*q**2 + 3*q - 3*q - 319*q**2 + 822*q**2 + 0*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 2*u**2 + 2*u - 171. Let t(y) = 4*y**3 + 6*y**2 + 7*y - 512. Determine 2*t(r) - 7*x(r).\nAnswer: r**3 - 2*r**2 + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 27 + 2. Let t(r) = r**3 - 10*r**2 + 17*r - 8. Let z be t(8). Suppose z = -v*k + 172 + 98. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (9 - (4 - 15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 8, p: 3, q: 3}. What is prob of picking 1 p, 1 g, and 1 m?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2591.75 + 2592. Which is the nearest to 0.1? (a) m (b) -2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 2. Suppose 4*v + 7 = 2*f - 11, 2*v = -5*f + 105. Let u = f - 12. Let t be c(u). What is the smallest value in -3, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 24 = 2*x, 2*s + 6783*x + 32 = 6785*x for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -242\/2773 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 17. Let h be b(15). Sort -3, h, 0.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let h(g) = 32*g + 4. Suppose 0 = 4*d + 2 - 2. Let t(b) = 5 + d - 3 - 1. Let w(i) = -h(i) + 4*t(i). What is w(s(r))?\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-4.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 239 + 101 + 95 + 127 + 97)*(-3*u + 0*u - u).\nAnswer: 8*u**2 - 724*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 13*j + 14. Let h be g(6). Find the first derivative of h*u**2 + 3*u + 28 + 23 - 1 wrt u.\nAnswer: 16*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 9*h - 6. Suppose -24*a = 19*a + 387. Calculate t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*30\/(-6). Let q = 0.26 - -0.04. Which is the nearest to 0? (a) g (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/6 + j. Let s(m) = -3*m - 3*m + 4*m. What is s(g(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 4*g - 3. Let k(z) = z - 8. Let y be k(6). Calculate the remainder when (-1)\/y - 98\/(-4) is divided by b(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 100?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/240 - 361*c**3\/24 + 7*c**2 - 46*c. Factor u(f).\nAnswer: (f - 19)*(f + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133235127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101010000001101 (base 2) to base 14\nAnswer: 7bad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 3*m**2 + 3*m**2)*(251*m + 19830 - 19830) - 138*m - 80*m**4 + 138*m + 2*m**4 - 2*m + 2*m.\nAnswer: -329*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814062949?\nAnswer: 173, 10485913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95931195?\nAnswer: 3, 5, 37, 172849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*t - 5*p, 2*t = 3*t - p - 7. Solve 0 = -t*u + 4 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7894*a**3 - 2284*a + 90228268 with respect to a.\nAnswer: 23682*a**2 - 2284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, 3, 1009, 1, -1\/12 in descending order.\nAnswer: 1009, 3, 1, 1\/4, -1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -25 (c) 5 (d) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = 116 - 286 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/30 - 65*m**4\/6 + 131*m**3\/3 - 12*m**2 - 2. Let i(t) = 0. Calculate t.\nAnswer: -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, d: 1, z: 2}. Give prob of sequence pd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 59*v**2 - 1. Suppose -2*l + 3 = p, 3*p - 2 = -p - 3*l. Is 29 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:01 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4)*7\/2. Let z(y) = -2*y + 3. Let x(w) = 1. Let o(i) = -3*i. Suppose 0*u - 6 = 3*u. Let m(h) = u*o(h) - 10*x(h). What is r*z(f) - 2*m(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 12*w**2 + 10*w + 12. Let s be n(11). Let y(t) = -2*t + 2 + 3*t - 14 - s. What are the prime factors of y(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 370149 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 42 = -4*b. Let f be (1 - b\/24)*2. Let g = -87 + 92. What is the second biggest value in f, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 82\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -249*m + 326*m - 969276. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.4, -6, -5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/6 - -13\/6. Let x = -164.84 - -160. Let z = x + -0.16. What is the closest to i in -2, 2\/13, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*n - 38 = -n, n + 64 = 4*x. Let t = x - 6. Let s(f) = f - 6. Let q be s(t). Solve p - 5*d = 22, p - q*p + 2*d + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/6)\/(35\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152722957 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2783 - -4496. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 131007 + (-6 - (7 + -6)). Round h to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*x + 57339 = 1742576. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7633776626.\nAnswer: 2, 7, 545269759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5283 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3265*v - 3168. Determine q(-1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1133879754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1) + -2 + 1. Suppose 3 = l - q*l. Suppose 32 = l*g - 58. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 2. Suppose -2*o + o - 40 = 3*k, 0 = 5*k - 3*o + 76. Let b = k - -17. Give r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1183168 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -498.15 + 498.127657. Round f to four dps.\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9498)\/(-9) + (2 - (-7)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71369853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -51. Let w be (24\/t)\/((-2)\/(-5)). Factor 22\/5*y**w + 4\/5*y + 6*y**3 + 18\/5*y**2 + 6\/5*y**5 + 0.\nAnswer: 2*y*(y + 1)**3*(3*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 16. What is the remainder when 5\/2*b\/2 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 1373327?\nAnswer: -1373342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*g**3 + 8*g**3 + 31*g**6 - 431*g**2 + 17*g**6 - 12*g**6 - 34*g**2 wrt g?\nAnswer: 4320*g**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 12 = 0, 0 = -2*z + 3*i - 3. Let c(n) be the second derivative of -4*n + 0 + 3*n**2 + 5\/6*n**z. What is the derivative of c(p) wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1056, -23\/7, 9?\nAnswer: 1056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-778)\/(-71)*(-3)\/(27\/(-2)). Let c = v + 2\/213. Find the common denominator of (-57)\/6 + (-4)\/(-10) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -47348.\nAnswer: -5\/11837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12514*u**2*z + 19*z + 10 wrt u?\nAnswer: -25028*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/247*-13*1. Suppose -45 = -3*n + 3*i, -57 = 2*n - 7*n - i. Let t be (-532)\/n*s*-3. What is t rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/413808 and 83\/1110.\nAnswer: 2069040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, z: 4}. What is prob of picking 1 z and 3 s?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:24 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*w - 204 = 0. Let y = w - -44. Solve 9*c + 6 = 2*a + 4*c, -3*a - 2*c = y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 4:59 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + (-9 - -3) + 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 12\/5*q**5 + 0*q**4 + 31 + 8\/3*q**3 + 0*q**2 + 0*q. What is the third derivative of g(z) wrt z?\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdddcddddddddddddddd. What is prob of sequence dcc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/6 - 3*u**2\/2 + 26*u. Let w(a) = -a**3 + 4*a**2 - 2*a + 2. Let y be w(4). Calculate r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -240, -1002, -2286, -4104, -6468, -9390?\n\"Answer: -2*s**3 - 249*s**2 - s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-1 + 1 + 0). Which is smaller: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = -5. Let q = -1 + 6. Let z = 22 + -17. Solve q*i + z = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -20012?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + c - 15, l + c = 5*c + 3. What is the first derivative of -10 - 19*o**l + 0 + 34 - 2*o**3 wrt o?\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 19*l - 173. Calculate c(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**(2\/21)*b))*(b**29*b)\/b assuming b is positive.\nAnswer: b**(649\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(200)*1)\/sqrt(10) + (2*sqrt(500))**2).\nAnswer: -10000 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 at most -2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724528576.\nAnswer: 2, 3, 7, 11, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 3. Let q be n(3). Suppose q = -3*j + 17 + 7. Suppose 5*b = 25, -j*f - 3*b + 71 = -4*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = -2*m + 542, -279 = -i - 5*m. Suppose -l = -7 + 3. Suppose l*d = -1 + i. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 46 + 43. Factor 0 + 2\/3*g**y + 0*g + 2\/3*g**2.\nAnswer: 2*g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 154, 3\/5 in decreasing order.\nAnswer: 154, 4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 989773226 to the power of 1\/3, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 1\/8 + 1\/8*q**2 - 1\/4*q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666 (base 12) to base 6.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 23, 28, 35, 44?\n\"Answer: z**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 4*a**2 + 0*a**4 + 0 + 1\/30*a**7 + 0*a**6 + 0*a - 1\/12*a**5 + 0*a**3. Find the third derivative of v(k) wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxbihyb. Give prob of sequence yqi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1*565 + ((-160)\/96)\/(10\/(-12)) and 147?\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuaxaaazbbazaa. Give prob of sequence bzx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 + 2900*f**4 - 5772*f**3 - 8692*f**2 + 11552*f + 11568 = 0. Calculate f.\nAnswer: -1, 2, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 2, h: 4, i: 6}. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f - 6. Let h be w(7). Let r = -64 - h. Solve 6 = 3*o - a, -8*o + 4*o - r*a - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:37 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*s + 2*s**2 + 45*s - 2*s**2 + 0*s**2 + 4*s**2 + (3*s**2 + 0 + 0)*(-4 + 1 + 2) to o + q*s + u*s**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-125) + (2\/60 - 0)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 712110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j + 0*j + (-j - 6*j - 8*j)*(-4 + 1 + 1))*(-j - j + 5*j).\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 12*k + 8 + 6.\nAnswer: -12*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8913.0384ns?\nAnswer: 0.000000002475844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 111. Let d be r(-30). What is the third derivative of 29*w**5 - 43*w + d*w - w**6 - 20*w**2 + 23*w wrt w?\nAnswer: -120*w**3 + 1740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 65*b**2 + 137*b - 2. Let f be m(-3). Suppose 2*o - 5*s + 215 = 7*o, 2*o = 3*s + 86. What is the highest common factor of f and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, -4, -162, -2667, 1 in ascending order.\nAnswer: -2667, -162, -4, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2 - 17. Let h be 24\/9 + (2\/(-1) - 0). Factor 0 + 2\/3*j**u - 4\/3*j**2 + h*j.\nAnswer: 2*j*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 60713, -433, -2 in descending order.\nAnswer: 60713, -2, -4, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)*p\/(p\/(p**(-3)\/p*p)*p)*((p\/(p\/(p*p*p**(-2\/43))))\/p)**39)**(2\/81) assuming p is positive.\nAnswer: p**(2983\/3483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -16. Let v(x) be the first derivative of x**4\/4 + 2*x**3 - 7*x**2\/2 - 3*x - 6. Give v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*(sqrt(180)*2)\/sqrt(5))\/(6*(2*sqrt(243) - sqrt(18)\/(sqrt(54) + sqrt(6)))))**2.\nAnswer: 768\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29456, 29472, 29512, 29582, 29688, 29836?\n\"Answer: w**3 + 6*w**2 - 9*w + 29458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31*f. Let r(v) = -5*v**3 - 6*v**2 + 3*v - 5. Let s be r(-6). Let t(w) = w - w - 842*w**2 + s*w**2. Calculate t(h(a)).\nAnswer: -961*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 38*t + 654. Calculate i(36).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 43*g + 1050. Calculate l(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.0545 + 2.9711. Let j = -97.0514 + a. Let q = -76 - j. What is q rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 520*t**2 + 702*t - 46974. Calculate m(261).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 664 - 671. Put k, 0, 1\/4, -1\/5 in decreasing order.\nAnswer: 1\/4, 0, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4924, 4943, 4998, 5107, 5288, 5559, 5938, 6443?\n\"Answer: 3*x**3 - 2*x + 4923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 34 - 34.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007572424 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -19*p**5\/20 + p**4\/6 + p**3\/6 - 68*p - 5. Let i(b) be the first derivative of s(b). Calculate i(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 4. Let d(q) = 5*q + 17. Let o be d(-5). Let y = 4 - o. Suppose -3*a = -f + y, f - a = -0*f + 6. Determine z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*p = 3*k - 7, p - 2 = -k. Let y be (k\/3)\/((-2)\/18). Which is the third biggest value? (a) y (b) -2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(720) + 1.\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 48*i + 46560. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 48 + 149*r - 1185*r.\nAnswer: -1036*r + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**5\/20 + h**4\/6 - 5*h**3\/3 + h**2 - 76*h. Let s be v(-4). What is the greatest common factor of 580 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 4*b**2 + 4*b**2)*(1 + 3 - 2) - 40*b**2 + 52*b**2 + 125*b**2 to the form a*b**2 + j + q*b and give a.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1595331 and 0.5.\nAnswer: 0.07976655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1736132\nAnswer: 347226.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -14*k + 24*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -5*x - 625. Let o = 177723\/5 + -35545. Which is the closest to -1\/3? (a) x (b) o (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knwqkqwqwknwqwq. What is prob of picking 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 - -110.\nAnswer: 111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let n be z(-3). Suppose n*d - 12 = -3*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) -0.040086 (c) -0.3 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -371, -4\/5, 2, -4, 214 in decreasing order.\nAnswer: 214, 2, -4\/5, -4, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and 256\/(-30)*((-36)\/13128)\/(-1).\nAnswer: 16410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2980657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338 - -5748\/17. Let v be (2\/7)\/1 + 0. What is the smallest value in v, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 6:04 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhe when three letters picked without replacement from bbwbbebbbwhpbbbeweh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169122260?\nAnswer: 2, 5, 8456113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*k + 3*f, -3 = -5*k - 10*f - 78 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.7 + -2.67.\nAnswer: -26.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4648, -21365, -49228, -88237, -138392, -199693, -272140?\n\"Answer: -5573*k**2 + 2*k + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -8. Let r be (-4 - 0)*215\/(-10). Let q = r + -61. Calculate the remainder when q is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42365523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -9. Let x = o - -15. Let b = x + 21. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22 + 41 - 23 - 2*c. Let g be u(-3). Let b(h) = -2*h + 6*h - 4*h + 3*h**g. Let t(q) = 5*q**2. Calculate t(b(w)).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 - 13\/6*i**3 - 1\/2*i**4 + 3\/2*i**2 + 1\/20*i**5 + 9*i. Calculate the remainder when u(9) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32004714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.2, 0.3, -1, 0.2 in descending order.\nAnswer: 12.2, 0.3, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422322597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13731 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*t - 5, 0*o = 2*o - 5*t + 9. Let x = 0.1 - 1.1. Let h = 0.5 + x. Which is the nearest to -8? (a) h (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/2*-1*54. Let o = 560 + h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10464\/2180)\/(34\/10 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116657356?\nAnswer: 2, 3313, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + r - r + 5*r. Let c(x) = -201*x**2. Give c(y(h)).\nAnswer: -804*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(6*t - 4*t + 2 + 2*t**2 + 4*t**2).\nAnswer: 12*t**2 + 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 336 - 210. Let k(b) = b**2 - p + b - 5*b**2 - b**3 - 3*b**2 + 134. Let w be 0 - (-2 + 0 + 9). Determine k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-21))\/(2\/(-3)). Does 7 divide (3 + -2)\/(a\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1105?\nAnswer: -1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(3*a - 7*a + 2*a) + 6*a - 2*a - 3*a - 2*a + 2*a - 2*a + 19*a - 26*a - 9*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307192 and 14516?\nAnswer: 58673672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8 - 8*f + f + 3*f. What is the lowest common multiple of 12 and m(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 - 191. Let k(y) = 64*y + 2. What is the remainder when k(a) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -0.2, -0.04 in descending order.\nAnswer: 1, -0.04, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -979 + 981. Sort b, -6, 139.\nAnswer: -6, b, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrruuru. Give prob of picking 2 r and 2 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(6*l**2 - 2*l**2 - 2*l**2)*(2*l + 3*l - 4*l - 2)*(-3*l - 4*l + 27*l) to the form i*l**3 + y*l**4 + c*l**2 + v + s*l and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*a - 1436*a - 1060 = 0 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4170 and 96?\nAnswer: 66720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 15. Suppose -5*s - 61 = -4*w, t*s - 11 + 34 = 2*w. What is the second derivative of 5*c**3 - w*c + 4*c**3 - 9*c**3 - 21*c**4 wrt c?\nAnswer: -252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 2*sqrt(187)*-5)\/sqrt(11).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*y + 15554, -6*y + y - 19447 = -h. What is y rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2302*x + 2379*x = 154. Solve -x*k + n = -0*k - 8, 20 = 5*n for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 475 = -110*z - 1399 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*h + 125, -4*h + 45 = -q + 4. Let i = 54 + q. Suppose 5*l = -2*g + i + 6, 2*g - 5*l = -19. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from snn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 20595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*g - 37 = 0, 0 = 2*a - 6*g + 2*g + 8. Is a\/(-2)*114\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*w - 19, -4*w + 4 + 15 = -3*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139395 - 85038. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1336060 divided by 41.\nAnswer: -1336060\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26 + -1.86. Let w = 2.4 - c. What is the third biggest value in w, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515\/(-1040) - 72\/(-234)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**25\/s**(-5\/2)*s**(-2)*s*s*s*s*(s**(1\/9)*s)\/s assuming s is positive.\nAnswer: s**(533\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from wttbhitttkwwtbhthtt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 3, 2\/7, 130, 18?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 542. Suppose -2*b + r + 87 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 3.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*r + 13. Let y = 31 - 73. Let o = -38 - y. What is the lowest common multiple of o and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 15738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 19*c - 15*c. Let b(f) be the first derivative of -1 + 2\/45*f**5 - 1\/18*f**4 - 2\/27*f**3 + 0*f + 1\/9*f**c. Factor b(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/15 and -75\/638?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8095 - 8169. What is the third biggest value in 4, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -15 + 106 + -76.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5611? (a) -0.3 (b) 61 (c) -4 (d) -0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.00092 + -26. What is r rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 21*c**2 - 1436 - c + 1438. Let h be x(-1). Suppose h = 5*g, -5*z - 7*g + 4*g + 732 = 0. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r + 4. Let w be u(-4). Let h be 1\/(-3) - w\/6. Let x(q) = -q - 6. Let i(y) = -2*y - 13. Determine h*i(d) + 7*x(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123656 is divided by 103.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*3 + -2 + (sqrt(252) + 1*sqrt(252))*-6 + 2*(-1 + 1*sqrt(252) + sqrt(252) + -2))*6)**2.\nAnswer: 17280*sqrt(7) + 229104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*d + 17, 5*d = 220*m - 218*m + 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10737 by 1193.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.575348 and 79.86.\nAnswer: 78.284652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 4*u**2 - u - 3. Let m be w(3). Let z = 26 + 8. Suppose z = -2*p + 50. Solve 3*b = -2*b - l + 10, -m*l = -4*b + p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -8)*(-4)\/2. Suppose 4*c = 5*y - 78, -3*c + k = y - 25. Solve 4*x = -3*i + y, i = 2*x + x - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 3*z - 3*z. Let t(k) = 1. Let n(p) = -2*p - 6. Let a(j) = n(j) + 6*t(j). What is c(a(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + -135335?\nAnswer: -135225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 19. Determine z(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 greater than or equal to 0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, o: 3, v: 1, b: 6, c: 2}. Give prob of picking 1 c and 3 l.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60302542.941 and -0.2?\nAnswer: 60302542.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a + 1603*a**2 + 32*a**3 - 3*a**3 - a**4 - 1598*a**2 wrt a.\nAnswer: -24*a + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.43? (a) 1 (b) 4\/3 (c) -0.5 (d) -0.2 (e) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7031916*n - 3412. Let f be t(7). Round f to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-1)*j)))\/j)**(6\/13)*j**5*j**(-2\/9)*(j**(2\/7)\/j)\/j**3*(j*j\/(j\/(j*j\/(j*j\/j**(-2)*j*j*j*j))))**(2\/27) assuming j is positive.\nAnswer: j**(569\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o + 0*o)*(-3*o**2 + 0*o**2 + 4*o**2) + (3*o**3 - 20*o**3 - 19*o**3)*(0 - 7 + 0) to w*o**2 + r*o + u + i*o**3 and give i.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-3 + (-14)\/(-4)). Let s(y) = -4*y - f*y + 6*y + 2*y. Let x(b) = -8*b**2. What is x(s(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 179*x**2 - 527*x - 657. Is 26 a factor of g(175)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/11)*f**3 assuming f is positive.\nAnswer: f**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, -46584, -2, -19.\nAnswer: -46584, -19, -5, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*2 + -2 - -5*sqrt(76)\/sqrt(4)) + sqrt(57)\/(sqrt(147) + sqrt(147)*-3))**2.\nAnswer: -194*sqrt(19)\/7 + 179555\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c + 15. Let s = 2 - c. Let m be 110*(-9)\/(-90) + (12 + -2)\/(-2). Solve -s*o = -9 - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -5*r**4\/24 - r**3\/6 - 7*r**2. Let c be j(5). Let d = c + 49. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 7 - -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0 - 2 + 2*a + 2*a. Suppose -5 = -4*n + 3. What is m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.7, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -28, -102, -248, -490, -852, -1358?\n\"Answer: -4*g**3 + 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2 - 5 + 4 + 3 + (-2 + 4 - 1)*(-2 + 0 + 0) - 1 - 3 + 2 - 4 - 1 + 4)*(-2 + 2 - y**2).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5059272927 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/40 - c**4\/6 - 20*c**3\/3 - 77*c**2. Let n(p) be the first derivative of r(p). Determine n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373\/6860 + -3\/686. Let k(l) be the second derivative of 1\/6*l**3 + 12*l + 0*l**2 + s*l**5 + 0 - 1\/6*l**4. Factor k(z).\nAnswer: z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -3*(0 + sqrt(1900) + sqrt(1900))**2*2*-5) + 5.\nAnswer: 911997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**4 - 69 + 69)*((-4 + 2 + 3)*(0*z + z - 3*z) - 3 - 2*z + 3 - z + 5*z - 5*z + 10*z + 3*z + 5*z).\nAnswer: 195*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27633, 110979, 250681, 447387, 701745, 1014403?\nAnswer: 1386009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3402*k - 2590*k = -61855 - 147865 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.10866 - -18.23334. What is h rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 + 167. Suppose -16*c + 667209 = -3*x - 13*c, q = 3*x - 5*c + 667215. Round x to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -185*r - 4. Let k be d(-2). Suppose 2*j + o = k, 4*o + o + 354 = 2*j. Let v = j - 119. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30568*k*s**3 - 13*k*s**2 - k*s + 2*s**2 + s + 520567 wrt s.\nAnswer: 183408*k*s - 26*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -85090.5 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-44)\/8 - -6)\/((-1)\/(-4)). What is the nearest to b in -0.1, -1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, x: 5}. Give prob of picking 3 x.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263\/1939 - 2\/277. Let r(o) = -o**3 + 3*o**2 - 5*o + 3. Let u be r(1). What is the nearest to 0 in f, u, 10\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {t: 3, k: 4, h: 13}.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.5 - 4.5. Let k = -1\/5 - 2\/15. What is the smallest value in k, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 161.14. Round m to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*m + 36802, -9*x = -14*x - 2*m + 184112. What are the prime factors of x?\nAnswer: 2, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226547 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + 4*t**3 + (t - t + t**2)*(3*t - 3*t + 3*t) + 3 - 3 - t**3 + t**3 - t**3 + t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*n + 44 = 0, q + 2*n = 763 - 780 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185 + 186. Let s be (-2*b\/(-3))\/((-1054)\/(-31)). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - 3*u. Let c be (-60)\/(-5)*u\/4. Solve 2*f + c = 0, 4*t + 7 = 5*f + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31630102 to the power of 1\/2, to the nearest integer?\nAnswer: 5624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 1\/8 (b) 4 (c) 3 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -448789 - -52209430\nAnswer: 51760641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 - 150. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1560 and -67\/320.\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3201)*-22*267\/1068.\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142358709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.2 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*r**5 - 857*r**4 - 1145*r**2 - 32*r?\nAnswer: 3840*r**2 - 20568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 5*g + 75 = 0, -5*y - 5*g + 601 - 466 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 115 (b) -2 (c) 1 (d) 506646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = -4*h + 14*v - 9*v, 3*v + 1150 = 5*h. Calculate the greatest common divisor of 782 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = i - 5*i. Let r = 33 - i. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -86031.\nAnswer: -25809.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 32. Suppose 0*n + 5*n - 30 = r. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from pzpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747329.8 rounded to the nearest 10000?\nAnswer: -5750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*4*(-18)\/(-24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.59289*-235\nAnswer: 374.32915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 814.\nAnswer: -4070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.287719 nanoseconds in hours?\nAnswer: 0.0000000000056354775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12148*a. Let t(m) = -2544*m - 1. What is t(v(j))?\nAnswer: -30904512*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 + 4\/(-6). Let d(l) = -l**2 + 2. Let j be d(0). Find the first derivative of -3*x**3 + 2*x**3 + 0*x**3 - x**s + j wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (1 - (8 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from jyjcjahjch?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6450*a**3 - 96*a**2 - 5*a - 25. Let y(g) = 4300*g**3 + 60*g**2 + 3*g + 16. Give -5*d(h) - 8*y(h).\nAnswer: -2150*h**3 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*u - 12, -31*s - 9 = -u - 35*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = -3*c, 2*x + x + c = 28. Solve 2*d + 2*d = -2*q + 8, -4*d = -3*q - x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*s + 46 - 1634 - 6728. Calculate the remainder when 754 is divided by s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 10*j + 3. Let x be l(10). Let m = x - -17. Let y = m + -6. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/q**(-8))))**(-2\/19)*(q**(-1\/18))**(1\/8) assuming q is positive.\nAnswer: q**(-2899\/2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:31 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*o**3 - 256*o**2 + 130*o**2 + 126*o**2.\nAnswer: -243*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 - 4*h + 3. Give x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 4 (c) -482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 8*r. Suppose r = -0*o - 4*o + 16. Let u(p) = -p**2 + o*p**2 - 2*p**2. Let m(l) = -2*l**2. What is m(u(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43803599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1520, 4, 50 in increasing order.\nAnswer: -1520, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/22752 and 109\/90.\nAnswer: 113760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 366125724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r + 1591 = -2701 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2*h = 19*h. Solve 8*x - 5*x - 6 = h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(15\/(-12)) + 2225 + -8. Suppose -o = -q - 866. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16740917 rounded to the nearest 1000?\nAnswer: 16741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 603280, 603398, 603516?\n\"Answer: 118*t + 603162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**8)*z**(-1\/2))**(-33)*((z*z*z\/((z**(1\/4)\/z)\/z))\/(z*z**1*z))**19 assuming z is positive.\nAnswer: z**(1255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 2*r**2 - 4*r - 2. Let g be j(-3). Let v = g - -11. Is 0 - (-1 - -2) - v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 388958*w\/3 + 1166872\/9.\nAnswer: 2*(w + 1)*(w + 583436)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - q + (4*q - 2*q - 3*q)*(-1 + 1 + 1) + q - 29*q - 14*q)*(3 - 2 + 0)*(-2 - 2 + 3).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.28 (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobw when four letters picked without replacement from {o: 2, r: 2, w: 2, b: 3, i: 2, k: 5}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 98, -4, -1 in ascending order.\nAnswer: -4, -1, 0, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 357434573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(19) + -1.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15*k**3 - 3*k**2 + 8*k - 3. Give t(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104670730 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 4. Let h be t(-6). Let q = 0.02 - -0.08. Let i = 11\/2 + -5. What is the nearest to q in i, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:49 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g - 3*d - 11 = 76*g, 3*g + 59 = 4*d for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*v + 18, v + 5*z - 20 = -v. Suppose 0 = -v*l - 2*b + 6, 2*b = -2*b - 8. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**2 + 10*t - 4*t**2 - 9*t - t. Let l(z) be the first derivative of -1 - 2\/3*z**3 + 0*z + 0*z**2. What is l(b(p))?\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 859389243 to the power of 1\/2, to the nearest integer?\nAnswer: 29315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -87170 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 5063779.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -1 (c) 1\/6930\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmrnmbbrb. Give prob of picking 1 m and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445 times -0.9?\nAnswer: -9400.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 2*r - 2*r - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**9\/945 - g**5\/20 - 5*g**4\/4 + 16*g. Let j(m) be the third derivative of w(m). Differentiate j(u) with respect to u.\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -24*d - 57 - 29 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**4\/24 - r**3 - 6*r**2. Let z be f(4). Let m be (6 - -1) + z - 3. Solve 1 = y + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*((-2)\/(-416)*26)\/((-13)\/(-12))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 700 and 206230.\nAnswer: 14436100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 24*y + 10. Suppose -r + y = -1. Solve 0*t = -3*t - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 20 = -2*l - 0*b, 2*l + 2*b = 2. Let h(n) = 4*n - 1. Let q be h(l). Let d(x) = 10*x - 19. Is d(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 24, 80, 190, 372, 644, 1024, 1530?\n\"Answer: 3*y**3 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 223.07 and -3815908.3.\nAnswer: -3815685.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.5 - -33. Sort 0.2, 1, a.\nAnswer: 0.2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-334)\/8 - 3\/(-12). Let i = 80 + -66. What is the highest common factor of i and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304508815.\nAnswer: 5, 13, 31, 151121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-1*(-24)\/9. List the prime factors of (-4)\/y*(-30 + 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 2 - 3 + 2.\nAnswer: 11*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 8. Let b(z) = 51*z - 27. Let v be b(1). Suppose -2*m = -5*m + 2*t + 21, -5*t + v = m. What is the second biggest value in -2, m, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1089*k**4\/8 - 561*k**3\/8 + 75*k**2\/8 - 3*k\/8.\nAnswer: 3*k*(3*k - 1)*(11*k - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -84 + 80. Solve n = g*s - 7, 3*n + 2*n - 7 = -s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12646\/16653 - 2\/793. Is -2 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from momommommmommmmmmo?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 31. Let f = c - -17.4. What is f rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o - 4518 = 0. Let v = o - -66. Suppose -9*j + v = -1929. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 228?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 12263 + 57090. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23531 (base 6) to base 10\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/18)\/(1569\/(-28242))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = q + 37*n, -2*q - 1754 + 1771 = -3*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from qvj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2392409175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51223951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n - 16 + 16)*(-2*n**4 + n**4 + 0*n**4) + 218*n**2 - 218*n**2 + 6*n**5 + (-3 + 1 - 2*n + 3*n)*(-n**4 - 3*n**4 + n**4).\nAnswer: 12*n**5 + 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -2*v + 41*s, -6*s - 2 = -2*v - 2*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 + 5015 = 7*y. What are the prime factors of y?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3730 divided by 4\nAnswer: 1865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/258, 97, -1\/4, 1\/3?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxoooqqxtqqtoxwotzt. What is prob of picking 1 x and 1 q?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose 2*w - b*l + 2 = 0, -4*w + 3*w + 5*l = 6. Calculate the remainder when w is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -1. Let b be 2*-1 + 1 + q. Suppose -f = -1 - 2, -b = -3*m - f. Let u(n) = -4*n**3. Calculate u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - 28\/(-21)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-744 - -256)*((-51)\/24 + 2). Which is smaller: h or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - b8c0?\nAnswer: -b8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13090)\/(-340)*(-1)\/((-14)\/816).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 + 1 + 2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2478*i + 4966. Give c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -220592 minus 3?\nAnswer: -220595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.159 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**4 + b**2 + 12197*b + 127480 with respect to b.\nAnswer: -16*b**3 + 2*b + 12197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 382 (b) -3 (c) -1\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14286 is divided by 350?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 + 26*o**3 + 42*o**2 - 26*o - 44 = 0. What is o?\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1302 in 4, 0.06, 4\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*w - 4 = 0, -4*w - 4 = 2*a - 3*a. Let o = 1 + -2. Let v be 2\/(3 + 2\/o). Solve v - 6 = a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 806423 and 806448 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239721 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 4*w + 2*w**4 + (w**2 + 0*w**2 - 3*w**2)*(3*w + 3*w + 9*w)*(-278 + 278 + 69*w).\nAnswer: -2068*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25075 divided by -17.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233 and 240689.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215900 and 35630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368 - -1106\/3. Which is the nearest to 3? (a) w (b) 0 (c) 1\/3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 1. Let f be m(3). Suppose p - 3*n = 16, p + 36 = -4*n + 17. Let x be f\/(-2*p\/6). Which is smaller: x or 22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Suppose -k = 6*k - 14. Let o(d) = 2*d**2 + 12*d**2 - 49*d**k + 18*d**2. What is o(l(u))?\nAnswer: -68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let k(j) = -16*j. Let f(r) = 9*r + 12*r - 5*r. Let g(t) = -5*f(t) - 6*k(t). Give g(x(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.03837 * -9.311\nAnswer: 0.35726307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 + 3*j. Let v be n(-4). Suppose -d + v*s = d + 24, d + 4*s = 6. Let k be 2 + (d\/(-3) - 2). Solve 0 = p - 5, k*t + 3*t + 10 = 4*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v - 1. Let o be b(-7). Let r be (-1)\/(-3) - 26\/o. Let f = r + 2. Is f at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202542 + 42?\nAnswer: -202500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*p + 204 = -2*d, -3*d - 4*p + 285 = 0. Suppose 76 = 5*x - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 76295 + 19933 = 0. Is t a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*w + 78 = 347, 222 = -4*v + w. Let b = v + 106. Calculate the remainder when b is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. What is the units digit of 1*(-2 + 3) + n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 27, 83, 173, 303, 479, 707, 993?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -1\/3 (b) -42 (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 14*k + 6. Let j(x) = -26*x**2 - 71*x - 31. Let f(p) = 4*j(p) + 21*l(p). Suppose 0 = -4*r - 5*h - 46, -2*r + 6 = 3*h + 30. Determine f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**3 + 1330*p**2 - 131*p - 109. Calculate f(-121).\nAnswer: 1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7085 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, -320, -48, -12 in descending order.\nAnswer: 3, -1, -3, -12, -48, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(0 + 1). What is the biggest value in 5\/6, s, 1\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + v - 1)*(4*v**4 - 2*v**4 - 3*v**4).\nAnswer: 2*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301319.7 + -3197.\nAnswer: -304516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -84, -125, -166, -207?\n\"Answer: -41*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/10*385\/25*14525\/8134\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*z**3 + 3*z**2 - 28*z**3 + 60*z**3 as d*z**2 + q*z**3 + y*z + k and give q.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/((-155)\/17980).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, 5, -32, 126 in decreasing order.\nAnswer: 126, 5, 4, 1, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 733*g - 18. Let y(u) = 1463*u - 45. Determine 5*b(m) - 2*y(m).\nAnswer: 739*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -911 - -111?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50637 by -179.\nAnswer: 50637\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.003 - 713.997. Let p = o - -745.7. Let n = 32 - p. What is the closest to n in -3, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14886966.3 rounded to the nearest 100000?\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 911 - 505. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126b - 12838?\nAnswer: -11589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326310 + -326311. Suppose -2 = 4*o - 3*o. Let r be (6\/9)\/(o\/(-15)). What is the second smallest value in -0.3, f, r, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 666, 1451, 2530, 3891, 5522, 7411, 9546?\nAnswer: 11915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/(-4))\/((-234)\/(-24) + -10). Let z(g) = g**2 + 12*g - 3. Calculate z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-23 - -27) + 23 - (4 - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + v - 365 - 81 - 181 - 4*v in the form k + n*v and give k.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) 5 (c) 1\/5 (d) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10287 is divided by 429?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 3)*(-15*m**4 - 4*m**5 + 15*m**4 + (-3*m**2 + 3*m**2 + 2*m**2)*(0*m**3 + 4*m**3 - 5*m**3)).\nAnswer: -48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 229939909 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1676 and 4190.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 13 = -5*w - 5*q, 5*q + 3 = -w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190 + 38071a?\nAnswer: 3808aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/12, -1, 143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**3 - 2*u**3 - 45*u**3.\nAnswer: -67*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 + 11*q + 1. Let l(y) = -2*y**2 + 3*y. Let c(n) = 2*i(n) - 9*l(n). What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50168731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*x**4 + x**3 - 1788*x**2 wrt x?\nAnswer: -576*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76505 - 5573 = -6*s. Let q = s + 20709. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73494)\/(-918) - (2 - (-330)\/(-170))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 15. Calculate n(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*z + 26 - 13*z**2 - 61 + 18 + 19.\nAnswer: -13*z**2 + 160*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 29 - 189. Let c = k - 26. What is the remainder when 31 is divided by (22\/4)\/(7\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326404 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*j = 30, a + 491 = -j + 484 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 + 758 = 43*g. Suppose -41*t = -g - 210. Solve -3*l = 3*l - t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*g + 2 = 0, 3*h - 10 = 2*g - 13. Put h, -1\/6, -2, 0.4 in increasing order.\nAnswer: -2, h, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 189. Suppose -2*j = j - s. Suppose -2*c = -o + 6*o + 19, 2*c - 3*o = j. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 6*w - 4. Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7808093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r - 16 = 0. Let b = 28 - 25. Suppose b*j - r*j + 4 = 0, j - 12 = -2*q. Solve -5*m = p - 3*m - 7, 0 = -3*p - q*m + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 f, and 1 y when four letters picked without replacement from {f: 1, b: 4, y: 7, a: 1, n: 3}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4099859.82 - 4099818.7199821. Let u = 660 + -618.9. Let c = u - g. What is c rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 5*i + 5*i)*(2*i + 64 - 94 - i).\nAnswer: -2*i**4 + 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121393446 divided by 6.\nAnswer: -20232241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21\/63*((-32)\/(-132) - (-26)\/286)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2544*y + 1333891. What is h(739)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -0.04. Which is the closest to h? (a) 1 (b) -2\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*o - 7. Calculate the remainder when 15 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278231?\nAnswer: 23, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:42 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 + 3*f**3 - 14*f - 2*f + 19 - 6*f**3 - 14*f**2. Let b be t(15). Let m be b\/(-6) + 790\/(-30). Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c = -73*c + 15. Solve -10 = -4*m + 8*m + 2*d, -c*m - 4 = -2*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-24))\/(-11)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 102, -50, -7, 5, 0.\nAnswer: -50, -7, 0, 5, 7, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 35*n - n**2 - 73 + 42 + 46. Is j(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100011001101011100 (base 2) to base 9\nAnswer: 3645882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {n: 2, l: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s. Suppose s = 4*c - 118 - 98. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3732197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2. Let d(h) = h**2 - 7*h - 13. Calculate -2*c(y) + d(y).\nAnswer: y**2 - 7*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4998494 (base 11) to base 14\nAnswer: 121cb19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*b - 3 - 15*b - 2 in the form v + y*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8012\/1824 + (-20)\/5. Let d = 1\/57 - u. Which is the closest to -0.1? (a) d (b) -14\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 s, and 1 o when four letters picked without replacement from oaaaayssaaaayyoysa.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -666\/175265 or 1?\nAnswer: -666\/175265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 3*m - 4. Let l(h) be the first derivative of 2*h**3\/3 - h**2 - 3*h + 406. What is -3*l(b) + 2*t(b)?\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 276\/548917 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 - 1813*x + 1813*x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -258*q - 244. What is d(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k + 85008 = 77*k. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c - -2?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 + -175. Factor 6*a**2 - 28*a**3 - 36 - 3*a**z + 55*a**3 + 18*a - 30*a**3 + 6*a.\nAnswer: -3*(a - 2)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*i**3 + 703*i**3 - 1 + 1.\nAnswer: 1467*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96880795.\nAnswer: 5, 11, 241, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 10 (c) -1\/8 (d) 100\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/3 (b) 18\/7 (c) -170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-2\/15)*r)\/r*r\/(r\/(r*(r\/(r**(3\/5)*r)*r)\/r*r))*r)\/(r**(-1\/3))**5 assuming r is positive.\nAnswer: r**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 12:12 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -8603 in ascending order.\nAnswer: -8603, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -1\/6 (b) -3\/7 (c) 39 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2744 and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*t = 90, 5*t + 61 - 151 = -3*x. Let l = -4 - 0. Let w be (l + 1)*(-8 + 6). Solve -5*v - 2*z = 3*z + x, 2*z = 4*v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - -112000121?\nAnswer: 111222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roo when three letters picked without replacement from {g: 1, r: 1, o: 2, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2\/9, 2, 2.61, 2\/39?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 2. Let m(w) = -4*w - 9. Let j be -3 - (-24)\/(4 + -2). Determine j*l(b) - 2*m(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 536136 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + f + 7 = -3*f, n - f = 3. Find the first derivative of -n*h**3 - 8*h**3 + 5*h**3 + 2 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1 + -1) + -2. Calculate the remainder when -18*(1 - (c - -3)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 + 13*d - 3. Let m be j(-6). Let v be 1\/(-4) + 99\/(-36) - m. Let o = 239 - v. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-171)\/(-33) - -1. Which is the nearest to 2\/5? (a) g (b) 0.02 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 190, 1 in descending order.\nAnswer: 190, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421516*z**2 - 841877*z**2 + 422204*z**2.\nAnswer: 1843*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*a, -4*d - 35 = 2*a + 27. Let m = 2 - d. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2*m**3\/3 - 10. Let s(g) = -29*g. Determine r(s(q)).\nAnswer: 1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 59*y**2 - 296*y + 166. Is 23 a factor of h(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 13 - 13*j - 4*j**2 + 3*j**2 + 2. Let q(h) = 11*h - 5. Let y be q(1). What are the prime factors of r(y)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.6953 and -0.0493.\nAnswer: 0.57657829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - 1 - (-2585)\/5.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510512291111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 18 - 18 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let u be 1\/(((-2)\/(-4))\/((-22)\/y)). Round u to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665c4 (base 16) in base 2?\nAnswer: -1100110010111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49 - 49 + 13*k + (4*k + 0*k - 2*k)*(1 + 0 - 2) + k - 3*k + 0*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -79*q**6\/120 - q**4\/24 + q**3\/6 + 4*q**2. Let s be h(-2). Suppose 7*x - s = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37170205 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and -115\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649360 is divided by 8544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**3*m - d**3 - 3*d**2*m**2 + d**2 + 36168*d*m**2 + 1170622 with respect to m.\nAnswer: 3*d**3 - 6*d**2*m + 72336*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 11800*c**3 - 11806*c**2 + 23604*c.\nAnswer: 2*c*(c - 5901)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54718 = x - 5*o + 2*o, -273560 = -5*x + 5*o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6537091627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/15? (a) -0.2 (b) 0.017 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 53?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1148129*c**3*g**3 + 153*c**2*g**2 - 1532*c*g**3 - 5159*c*g**2 wrt c?\nAnswer: -6888774*c*g**3 + 306*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 13. Let b be q(6). Solve b = -r - 5*x, 4*x + 0*x = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {y: 3, b: 4, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from xiajxaxx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(360)\/(sqrt(48)\/sqrt(6) + sqrt(8)))\/sqrt(9).\nAnswer: -2 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/5*10\/(-4). Suppose -g*t = -t - 24. Let s = t + 5. What is the remainder when 24 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2215698 to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-36))**29 assuming c is positive.\nAnswer: c**1073","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*c**4*u - 8*c**3*u + 3*c**3 - 303*c**2*u - 3*c + 2*u wrt c?\nAnswer: 1320*c*u - 48*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113625?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -1)*16\/10. Suppose -u = -g + 7. Let z(d) = d**3 + d. What is z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*w = -6518 + 619 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1565\/407 + 36\/37. What is the common denominator of p and (-3 - -6) + (-47)\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-5 - (-22 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 7:56 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93423\/20 - 4675. Calculate the common denominator of i and -2 - 202\/28 - -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161.4 - 161. Which is the nearest to 2? (a) f (b) 87 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)*1 + 1. Let y = s - 0. Is y\/(-3) - (-105)\/9 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5. Let s be n\/3*-1*6. Suppose 0 = 4*w - 5*i + s*i - 358, w - 89 = i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 + 2*i**3 - i**2 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3 + 16*o - 17\/2*o**2. What is the derivative of r(c) wrt c?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five halves of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 192*o**3 + 67*o**3 + 8*o - 18*o + 2*o.\nAnswer: -125*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1530\/(-14) - 2\/(-7). Let a = l + 113. What is the second derivative of 7*i**4 - 15*i**4 + 30*i - 24*i**4 - 13*i**a wrt i?\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + (-2)\/(-6))*(0 - 123).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h**2 - 63*h - 53. Determine m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(-129)*4)\/(-71*2\/3)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2801*-131\nAnswer: 366931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 438 + -622. Let j = t + 188. Solve -j*v = -3*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 48 + 33 = 0. Let u = 1\/752 - -375\/752. What is the closest to u in -7, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 28*z**2 + 95*z - 18. Determine g(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.8499 decades in months?\nAnswer: 93221.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 3*r + 117. Let k(v) = v + 39. Let s(i) = -3*k(i) + t(i). Let g(q) = -330*q. Let o(h) = 165*h. Let c(n) = 5*g(n) + 9*o(n). What is c(s(f))?\nAnswer: -165*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 17. What is the lowest common multiple of 4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p**(-1\/12)*p)*p)\/(p**(-5\/4)*p))\/((p**8*p)\/((p\/p**(1\/4))\/p))*((p*p*p**7\/p)\/p*p\/(p*(p\/(p**(-8\/7)*p*p*p))\/p))**(-5\/11) assuming p is positive.\nAnswer: p**(-9187\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3*w**2 + a**3 + 2*a*w**2 + 4601*a*w + 372*w**2 wrt w.\nAnswer: -8*a**3 + 4*a + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2020368, 2020367, 2020366, 2020365, 2020364?\n\"Answer: -j + 2020369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3)*4 - sqrt(3) - (sqrt(3)*-1 + -1) - (-2 + (3 + sqrt(6)\/sqrt(2))**2 + -5).\nAnswer: -5 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 3}. Give prob of sequence mk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 446838422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l**3\/3 - 18*l**2 + 126*l\/5 + 882\/5 = 0. Calculate l.\nAnswer: -21\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101372 and 1804.\nAnswer: 45718772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5 + 11\/3*s**3 - 14*s**2 + 0*s. What is the second derivative of o(x) wrt x?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 14*f + 7. What is i(-7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 28 + 5 + 17*d**3 + 7.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x - 20*g + 23*g, -2*x - 9 = -5*g. Find the second derivative of -j**4 + 23*j + 4*j**3 - 9*j**3 + 53*j**x wrt j.\nAnswer: -12*j**2 + 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016339883 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from huhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -98*g**2. Let w(l) = -33*l - l - 10*l + 46*l. Determine s(w(v)).\nAnswer: -392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1095010 and 8.\nAnswer: 4380040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543699?\nAnswer: 3, 13, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 17, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6722 - 26522 - 23652 = -1544*w - 220 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 1, v: 5}. What is prob of picking 3 v and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, -59, -288, -763, -1574, -2811, -4564?\n\"Answer: -15*h**3 + 12*h**2 - 4*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 + -82. Differentiate 60 - a + 48 - 9*i**3 with respect to i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (110\/33)\/(4\/18). Let n = -33 - -38. Solve -n*j - 3*v - r = 2*v, -j = 4*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -109. Suppose -5*u = -j*x + 10*x - 901, -707 = -4*u - 3*x. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171\/12 + 2\/(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 54 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from uuubukkulkukkkuuk.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-8)*b**(-15)\/b*b assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -17*i + b - 3497, 4*b = -12. Calculate the least common multiple of 490 and i.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75760.5547 rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 642 - 1?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 35 + 10*k - 1 + 6. Let p(m) = -10*m + 0 - 13 + 7*m. Let a(d) = 5*j(d) + 16*p(d). Differentiate a(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 5:04 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 486 = -388. What is the greatest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16747, 16746, 16741, 16732?\nAnswer: 16719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*r - 481*r - 106*r + 20878 = 0 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21482962?\nAnswer: 2, 59, 182059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = 0. Suppose -4*z + 2174 = 2166. What is the third smallest value in z, r, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/44 - (32\/22 - (1 - -1))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 26970?\nAnswer: 53940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 4*h - 15 to s*h + l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-53 - -65)*(-35)\/(-3). Solve -10 = -30*k + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = -2*h - 0*h, 0 = -x + 5*h - 24. Let m be (-8658)\/(-70) + (-4)\/14. Let q = m - 123. Do q and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 27. Let h = u - -29. Let d = -0.2 + 0.3. What is the third biggest value in 3\/5, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837832931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/164, -0.2, -4, -1\/145?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13778 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n + 86. Let j(b) = b**3 - 11*b**2 + 7*b + 24. Let z be j(10). Let q = -6 - z. List the prime factors of o(q).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 + 511?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**2 + 24*q + 2. Let h(c) = 9*c**2 + 18*c + 2. Let g(z) = 3*d(z) - 4*h(z). Let x(m) = 4*m**2. Give g(x(j)).\nAnswer: -144*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 0, -0.5, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 2\/3 (b) -17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + 1599994\/4. Let k be 3 + -5 - (z - 1). What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80271473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 11*b**3\/3 - 3*b**2\/2 - b - 1. Suppose f = 12 - 13. Is 2 a factor of j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-2)\/(-8)*4). Suppose u = -22*b + 17*b + 85. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298666?\nAnswer: 2, 149333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)*(-2)\/(-2). Let o = 8 + f. Suppose o = 3*i, -3*n - i = 20688 - 5991. What is n rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquqqqqqqqqquuuqqqq. Give prob of sequence uuuq.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 263478, -5, 29 in increasing order.\nAnswer: -5, 0.1, 29, 263478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 3)*(-a - a + 3*a)*(15 - 23 + 120)*(1 + a - 1)*(1 - 1 + 2).\nAnswer: 1120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193401, -386797, -580191, -773583?\nAnswer: -966973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:42 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4836)\/(-260))\/((156\/20)\/13)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-25))\/((-52)\/260)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5120 (base 6) to base 3.\nAnswer: -1112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 2*p + 2*p + 0*p + 2*p + 0*p + (-8 + 5 - 6)*(-p - 3 + 3) + (-4*p + 3*p + 2*p + (0*p + 0*p + p)*(-3 + 7 - 2) + 2*p + 2*p + p)*(11 - 1 - 2).\nAnswer: 76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j - 2 = -76*j. Let o(u) = -55*u + 1. Let q be o(j). Let z be 1443\/21 + 16\/q. Calculate the highest common divisor of 46 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 168 - -1 - (1 + 2). Suppose -7*u = -9*u + z. Suppose 0*d = 3*d - v - 229, -3*v = d - u. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -13158 (c) -223 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b - 3. Let i(j) = -2*j + 0 + j**2 - j**3 - 2 - 1 - j + 11. What is the remainder when l(-3) is divided by i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)\/((-1)\/11). Suppose h - n = -2*a, 5*a - 9 = 5*h + 11. Suppose 4*i - 3*i + 3297 = o, -a*o + 6585 = -2*i. What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 2*t. Let c(k) = k**3 + 11*k**2 - 13*k - 11. Let x be c(-12). Suppose 30*a - 37 = 23. Let r(o) = o**3 - o**2 + o. Determine a*r(n) + x*q(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 164484\/13 and 12653 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -96990\/91 equal to -1065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - 4575\/(-150). Solve 25*a - l*a + 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8635 rounded to one decimal place?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12435 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 205020503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 171593235 + 51649217 = 0. Suppose -4*c - 17572009 = -n. What is c rounded to the nearest 100000?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -21.\nAnswer: -34\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975519 and 27.\nAnswer: 2926557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {d: 2, y: 2, f: 7}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**2 - 543*d - 3369. What is g(-6)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/579 - 8681\/1158. Find the common denominator of -29\/5 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9) + (3 - 8) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose -3*q = -151 + 166. Which is the closest to 2\/11? (a) 1\/4 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 2. Let n(o) = 3*o - 3 + 2*o + 0*o. Suppose -m = -x + 7, 6*x + 5*m = 3*x - 11. Let l(i) = x*a(i) - 2*n(i). Let f(c) = 31*c. Calculate f(l(s)).\nAnswer: 62*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 750412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiipppipdpydppij. Give prob of sequence dj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 5602094?\nAnswer: -5602093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 16.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1640 = 1686*a - 1688*a. Is 820 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.112 - 23.888. Which is greater: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 2 + 2*l + 3*l + 10 - 58.\nAnswer: 5*l - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmm when three letters picked without replacement from {b: 3, z: 2, e: 1, m: 4, f: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 32*y = -35*y + 1, 5*r - 23 = 3*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:23 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3452328064 and -0.1.\nAnswer: -3452328064.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*(i\/(i*i**(-6)))\/i*i)\/(i**(-2\/9)\/(i**(1\/6)\/i))*(i**(-1))**(-27\/4)*(i\/((i**(1\/2)\/i*i)\/i*i))**(-20\/7) assuming i is positive.\nAnswer: i**(3203\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 15 = 3*v. Let s be v\/(-3) - 2\/(-6). Differentiate -2*f**2 + 3*f**s - 2 + 4 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1294*w + 6456. Give m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a4c - -5?\nAnswer: -1a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -264\/7 in 9\/4, 2.4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 5:02 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -67. Calculate the least common multiple of (0\/1)\/((-4)\/2) + 1617 + -1597 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -1 - -18 - (14 + -1 + (-8 - -7))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - p = -3*p + 14, 2*v + 4 = -2*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z - 12. Let l be d(-8). Let b = -14 + l. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 108\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1a6?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323 + -321.03. What is p rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -153, -734, -1889, -3810, -6689, -10718?\nAnswer: -16089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -39. Let v = 21 - 30. Calculate the remainder when (-642)\/(-21) + v\/(-21) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2. Let p(y) = -2 - 17*y**2 + 2 + 23*y**2. Calculate c(p(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 5*f + 95 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j**2. Let b(k) = 2*k. Suppose 20 - 50 = 5*i. Let g(d) = -2*d. Let a(r) = i*g(r) - 5*b(r). Determine t(a(m)).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0.4 (b) 4 (c) -88 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6)*(-12)\/(-8). Suppose -5 - u = 4*o. Which is the closest to 1? (a) o (b) 4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6365, -50872, -171685, -406958, -794845, -1373500, -2181077?\n\"Answer: -6359*c**3 + c**2 + 3*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11802)\/(10 - 17)*(-2)\/(-12)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -5, 2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, 1\/4, -141, 0.1, 87.67?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*g - 635 = 2*g, 2*g = -j + 629. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 9:37 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 41 = -2*w - 2*o, -w = 3*o - 30. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 513, 5, -2 in increasing order.\nAnswer: -2, 1, 5, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -2 (c) -7 (d) -123\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 59189313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1493 + -1482. What is the second smallest value in z, -2, 24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i + 5 + 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 0*b - 2*b)*(0*b**3 + 0*b**3 + 2*b**3) + 2*b - b + 2*b**4 + 0*b in the form u + r*b**3 + z*b**2 + w*b**4 + t*b and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 931300560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 27.5. Sort l, 4, -1.4 in increasing order.\nAnswer: -1.4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -44. Let s(y) = -y**2 + 9*y + 154. Let p be s(-8). Solve x = 4*j + j + 4*q + p, 4*q = -4*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2316? (a) -1\/38 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - x + 0)*(321 + 190 + 62 - 60 - 35) to the form m + w*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 + 18341*s**3 - 61166*s**2 + 24476*s + 48936 = 0 for s.\nAnswer: -6117, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2)**(-1\/2)\/((q\/q**(-4\/3))\/((q\/q**(1\/6)*q)\/q*q*q)) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302545161*h**2*p**3 - 14*h*p**3 - 4*h*p**2 + 12*p**3 - 2*p**2 - 480 wrt h.\nAnswer: 605090322*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2780 and 28900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/36*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20010 (base 3) in base 11?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 921*d + 230*d - 105*d + 20920 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 + -71. Let c be (1\/(-16)*t)\/((-1)\/(-4)). Let u be (3 + -2)\/(4*35\/(-56)). Are c and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17934228 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - -5.87. Let m = -5.4 + v. Let y = m - 0.3. Which is the third biggest value? (a) 1 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1*5)\/(sqrt(252) + (sqrt(252)*2 - sqrt(252)) + sqrt(7)).\nAnswer: -5*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (240\/35 - 6 - 0)\/((-3)\/(-7)). Let t(v) = 17*v - 13. Determine t(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8127 (base 14) to base 3\nAnswer: -1010102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5. Let c be 18\/12 + (-55)\/34. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2060 and 17\/6592?\nAnswer: 32960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-45))\/((-12)\/189). Let h = z + -13\/5. What is the closest to 1 in h, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214.2 - 153. Let h = o + -58. Is h at least 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*w - 102*w - 35*w - 76*w as n*w + a and give n.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-9 - (-176)\/20)*-80\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k. Is 11 a factor of q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*d + 546013 - 110557. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2122*m + 268*m - 895*m + 101*m - 527*m.\nAnswer: -3175*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/42 + 3*335. Let n = 1425 - o. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2004\/(-10855)*20\/(-12)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/2 - 20*d**3\/3 - 25*d**2 + 30. Find m such that f(m) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6237 + -49813\/8. Let x = 933\/2 - 448. What is the common denominator of x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1219 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(3\/2))*y*y\/y**(-35)*y*y)**50 assuming y is positive.\nAnswer: y**2025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5998975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + (sqrt(847) - 1*(-2*sqrt(847) + sqrt(847))))**2 + (3 + sqrt(847) + 5)*3.\nAnswer: 121*sqrt(7) + 3418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -4*m. Suppose 0*s = m*s - 24. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*w = w + 4, -o + 5*w = -18. Let y = -1 - o. What is the nearest to y in 0.4, 2\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2742936 and -67\/840?\nAnswer: 13714680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.064.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -293*d - 657. Let w be c(-3). Solve -7*s + 236 - w = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13691 - 82873\nAnswer: -69182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 26. What is the units digit of m\/(-12) - 229\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 15 = 0, g + 5*i = -5*g + 39 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2554 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 109389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + ((34 - 18) + -8 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 16793 = -32*m - 6113. What are the prime factors of m?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-1 + 4 + sqrt(1573) + (1 + sqrt(1573))*2)**2.\nAnswer: 9900*sqrt(13) + 425460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11 = 2*g, -4*g - y + 17 = -8. Let t be (g\/(-4))\/3*0. Solve t = 3*n + 5 + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 1.151?\nAnswer: -0.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 12*d + 2*h + 696, 0 = 3*d - 5*h - 536. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.95547603 to 4 dps.\nAnswer: 3.9555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 7*f - 63 = 8*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3 - 3*w + 3 - 4. Let u be c(6). Let b = -9 - u. Solve y - 5 = 4*o, -3*y - 4*o - b = -22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145583319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 11*a**2 - 10*a - 21. Let j be t(12). Let m = 0 + 2. Let u(x) = -m + 7*x**2 - 7*x + 10*x - 9*x**2. Calculate u(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 4*s + 60, 5207*s - 5209*s - 32 = -4*l - 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -4*sqrt(108)*1)\/(sqrt(225) + 1*sqrt(225) + sqrt(225)))\/(-2*sqrt(8)\/((sqrt(128) + (1*sqrt(128) - sqrt(128)) - sqrt(128)) + sqrt(128))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/6 - 5*j**4\/6 + 5*j**2\/2 + j. Factor n(q).\nAnswer: 5*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 7) to base 8.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 + 336. Let r be (-1)\/(-2) - (-77)\/22. Suppose 2*b + 0*b - 4*z - r = 0, -5*z = -3*b + 10. Calculate the highest common factor of b and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39894.23 kilometers to nanometers.\nAnswer: 39894230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.984 less than -4?\nAnswer: -3.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -641120292*r - 985566168 wrt r?\nAnswer: -641120292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/36)\/((-27)\/(-162))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 50 = -25*k. Let v(u) = 20*u**2 + 6*u - 3. List the prime factors of v(k).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+13067\nAnswer: 13072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -230 + 23 + 15 - 55 + 10*o. Let s be i(25). Solve -m - 2*b = -2*m + 4, 0 = m - b - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19075071097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2511)\/(-9)*((-385)\/(-88))\/35*24\/27\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.7, -130, 2\/9, -17\/4 in decreasing order.\nAnswer: 0.3, 2\/9, -0.7, -17\/4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105\/2? (a) 2\/11 (b) 68 (c) 21 (d) 0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 >= -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + 10*v**2 - 13*v + 45. Let g(u) = 2*u**3 - 3*u**2 + 5*u - 22. Calculate -2*f(j) - 5*g(j).\nAnswer: -2*j**3 - 5*j**2 + j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12032 (base 12) in base 7?\nAnswer: 130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -2*j. Suppose -j - 17 = -5*b. Suppose 72 = b*y - 4*p, -2*y = -4*p + 6*p - 28. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*f - 30, 126 = -2*p - 2*f + 112 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and -28781.\nAnswer: -1698079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*f - f = -84, 64 = 3*v - 4*f. Suppose 19*d - 36 = v*d. Solve 8 = 5*y - d, 4 = 4*t + 5*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*n - 170*n + 873714 = 0. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 933*w**2 - 4*w + 7*w - 3*w in the form j*w**2 + o + z*w and give j.\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8257 = 1631*a + 141999 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 109 + 1 = -0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(91)*1 + sqrt(91) - -2*sqrt(91)*-1)\/((sqrt(98)\/sqrt(7))\/sqrt(2)*-6) + -2)**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-14))\/((-78)\/819). Solve -2*q - b = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 437.04, 2, -2\/7?\nAnswer: 437.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/35 + (-1)\/(-5). List the prime factors of x\/(-6) + (-50)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 118 = -55*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from vpyidpix.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6339 + -6342. Let g = 1 - -2. Let w = 1 - g. What is the nearest to -13 in w, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.01 - -89. Let w = 251 + -247. Which is the second smallest value? (a) g (b) 1 (c) w (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 8 = -23, 0 = -4*o - 5*b + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2 - 7*l**2 - 6 + 3. Let m(j) = 6*j**2 + 1. Let x(r) = -r**2 + 6*r + 6. Let w be x(6). Give w*m(o) + 5*v(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -2*x. Let y(w) = -5*w - 2. Let q(g) = -9*g - 3. Determine x*y(n) + 6*q(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.8 + 15. Let i = d - -20.8. Let x = i - 19.5. What is the smallest value in -3, x, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 4. Let m be c(-12). Let g = -12 - m. Let a(d) = d**3 - 3*d**2 + 2*d. Calculate the smallest common multiple of a(3) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {v: 1, b: 3, z: 4, k: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -948467 - 4?\nAnswer: -948471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*y + 2*y**3 - 46*y**3 + 7*y**3 + 19*y**3 wrt y?\nAnswer: -108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(1 + sqrt(5))*-1 + (sqrt(320) + 2*-2*sqrt(320))**2).\nAnswer: -16*sqrt(5) + 11504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19525 and 138237?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 4, k: 5}. What is prob of sequence yk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 24*s - 28*s + 5871, 0 = 3*s + x - 4427. Is 0.2 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3.74\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 546*f - 18545 = 19377 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 145, 73, -179, -671, -1463, -2615?\nAnswer: -4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*y - 14 = 0, 2*n - 8 = 5*y + 3. Suppose -2*l + 5 = -s + 2, -n*s - 5*l = -24. What is the units digit of 6\/(s - (3 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 211132?\nAnswer: -211130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -973?\nAnswer: 144\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**6*t + 82107*n**5*t - 2*n**2 + n*t + 1442*n - 16108*t wrt n.\nAnswer: 480*n**3*t + 4926420*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039.9 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 5350137a?\nAnswer: 53501382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-4)*100\/125. Let o(q) = 385 - 385 + 5*q**z. Let p(u) = 3*u**2 - 2*u**2 + 2*u**2. Determine p(o(j)).\nAnswer: 75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2\/3*f + 1\/6*f**2 - 1\/6*f**4 + 0 - 2\/3*f**3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(0*j + 4*j - 3*j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-76*s + 96*s - 238*s) to the form b + p*s and give p.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:37 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 - 1\/60*u**5 + 0*u + 89\/120*u**6 + 0*u**3 + 6*u**2 + 1\/24*u**4. Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/120 + 3*l**5\/20 + l**4\/6 + l**3\/6 + l**2 + 4973*l. What is t(-6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 81 (b) -0.4 (c) 388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303529092 to the power of 1\/2, to the nearest integer?\nAnswer: 17422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569344 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -394*x**5 + 23250*x**4 + 515904*x**3 - 544232*x**2 + 5472*x = 0.\nAnswer: -18, 0, 2\/197, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1945989 by -648663.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1224811.49999998 - -1224811. Let z = 0.05 - 0.55. Let w = z - s. What is w rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l + 22297 - 22099 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 816 + 39c?\nAnswer: bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (290\/45)\/(-2) + 3 - 67784\/(-304866). Is o less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8234484*y. Let g(r) = 38*r**2 - 2*r. Calculate b(g(o)).\nAnswer: 312910392*o**2 - 16468968*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 2600.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 88 = -4*k - 159, 2*c = -5*k - 506. Let f(u) = -u**3 - 28*u**2 + 115*u + 102. Let r be f(-32). Let l = c + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 8. Let l be s(9). What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 420\/40 + ((-2)\/4)\/1. Let p be (-4347)\/(-15) - ((-2)\/k)\/1. Suppose -b + p = o, b - 5*b = o - 275. What is the greatest common divisor of o and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 794.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29)\/(5 - 36\/8). What is the least common multiple of (m\/(-174))\/((-1)\/(-33)) and 2\/((-2)\/16*-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)*n**(-18)\/n)**(-13))**(-3) assuming n is positive.\nAnswer: n**(-1521\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/12*c**6 - 2\/3*c**3 + 319*c**2 + 1\/6*c**5 + 0*c + 0 + 5\/12*c**4 - 1\/35*c**7. Find p, given that s(p) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(((-42)\/(-8))\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307469 = 37*f - 608281. Round f to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6660 - -6663. Solve -b*z - 2*z + 3*a - 14 = 0, 0 = 4*z + 4*a - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16656 - -9594. Let y = f - 41450. Round y to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than or equal to 0.0863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-3) - 2 - (1896 + -1984)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 236*b + 2620. What is r(-9)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -425*n**4\/12 + 5*n**3\/6 - 5*n**2\/2 + n. Let r be q(2). Let g be (15\/9 - 1)*r. Round g to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109054?\nAnswer: 2, 11, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.8 - 33.5. Let p = g - -22.72. Put p, -0.4, 1\/6 in increasing order.\nAnswer: -0.4, p, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 61 = -68 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -7*r**5\/30 - r**4\/6 - 7*r**2\/2 + 8. Let v(u) be the second derivative of a(u). What is the second derivative of v(p) wrt p?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13908 - -15362. What are the prime factors of y?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 12*c - 55. Let q be l(-16). Suppose 3*u = -3*i + 63, q*u + 30 = 11*u - 2*i. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-4)*68\/6. Let q = 380 + -328. Is g >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1263 - 256. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and 435?\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-14))\/((-4495)\/44051)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-35)\/((-1575)\/(-1152)))\/((-33)\/(-55))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 16, 1, 0.3, 2\/15.\nAnswer: -130, 2\/15, 0.3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10223 + -10222.99999216. What is n rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -226873152146.\nAnswer: -226873152145.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5071*n**2 + 1697*n**2 + 9*n**3 + 1672*n**2 + 1702*n**2 - 4*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/17)\/((q\/(q**28*q))\/q))\/((q*q**2)\/((q\/(q\/(q*q*q**28))*q)\/q)) assuming q is positive.\nAnswer: q**(956\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1855*g**5 + 3058*g**4 - 4*g**3 - 2*g**2 + 49636935 wrt g.\nAnswer: 111300*g**2 + 73392*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k - 4*d, -2*d = -4*d + 10. Let z = 2 + k. Suppose v + 1 = -1. Sort v, z, 0.\nAnswer: z, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a75 + -5?\nAnswer: -33a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**1))*o)\/o)**(-2\/59)*o\/o**(2\/13)*o**(-4) assuming o is positive.\nAnswer: o**(-2471\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 i, and 1 e when four letters picked without replacement from {f: 3, c: 1, o: 1, l: 5, i: 4, e: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctccctnccccnctccicc. Give prob of picking 1 i and 2 t.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n = 27*n + 66*n + 278*n + 7400 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10036652629137 and 14.\nAnswer: 10036652629151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:55 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4318121, 4318127, 4318135, 4318145, 4318157, 4318171?\n\"Answer: g**2 + 3*g + 4318117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 46.7\nAnswer: 47.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1967911954 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -797\/2 - -379. Let m = 71\/5 + c. Find the common denominator of -2 + -1 + (-173)\/(-12) and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14935.1 times 0.5?\nAnswer: 7467.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/542 + 82534\/271. Let o = r + -32887\/108. What is the common denominator of o and -77\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2935*h + 3 - 2860*h - 1 in the form d*h + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*i + 8042 + 1778 = -1904 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920299*z**2 - 346826*z**2 - 1335582*z**2.\nAnswer: -2602707*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 371*g - 62. Let a(q) = -17*q + 0*q**2 - 3 - 2 + 2*q**2 + 14*q. Let d be a(-3). Let n be h(d). What is n rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (8 + -3)\/(-5). Let i = s - 1. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scqsuqhsqasccs. What is prob of picking 1 h and 2 c?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22525018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3846852.\nAnswer: 2, 3, 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.138357022 - -0.041\nAnswer: -0.097357022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 636075 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = z - 3, -12*z - 4 = -16*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2022, -2023, -2034, -2061, -2110, -2187, -2298?\n\"Answer: -y**3 + y**2 + 3*y - 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d + 6865 - 3431 - 5*d - 3434. Let a(j) = -j + 3*j - j. Give a(y(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*o + 5928 = 5*o - 19*o for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2, 0*k - k + 3*c = 0. Suppose y + 0*y - k = 0. Calculate the least common multiple of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 43 = -49. Let l be (22\/(-55))\/(o\/(-10)). Solve l*s - 18 = 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/2)\/((-14)\/(-3052)) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 15*v - 48. Let i(n) = -n**3 - 9*n**2 - 7*n + 2. Give i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1035\/7 and 148 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 92 + 71 = 5*g, 0 = g - 5*n - 17. Let o = 36 - g. Suppose -4*w - 10 = -2*w + 3*q, 3*q + 2 = 2*w. Do o and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 519 - 515. Which is the third smallest value? (a) p (b) 5 (c) -9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o + 171. Let t be (22\/6)\/((-42)\/(-378)). Let h be i(t). Suppose -3*q = -5*b - 0*q - 29, 2*b + 2*q + 2 = 0. Sort h, b, 4.\nAnswer: b, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:03 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*(-12 - -6). Let a = w - 5. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and (-2)\/(-3) + (-49)\/(1176\/(-3008)).\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468734603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 736727947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 5*i - 55. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/3, 51, -1\/6189?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176))*-5 + sqrt(132)\/(sqrt(2940)\/sqrt(5)).\nAnswer: -139*sqrt(11)\/7 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) -1 (c) 1\/14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**3*o + 157*f**2*o - 2*f*o - 900*f + o wrt f.\nAnswer: -42*f*o + 314*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + -2*(-776)\/16. Solve -12*n + q - 31 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9948 + -590?\nAnswer: -10538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1101 - -413?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 555935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127233 and 72?\nAnswer: 1017864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.057, -5, 1 in increasing order.\nAnswer: -5, -1\/5, 0.057, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 225048\/35 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(21)\/sqrt(3) - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c = 25*c + 6. What is the second derivative of -73 - 67 + 15*v**3 - c*v - 62*v**3 + 129 wrt v?\nAnswer: -282*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/132 + 122\/(-22). Put d, -9, 5, 3 in descending order.\nAnswer: 5, 3, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(36)\/sqrt(3)) + 5)*6)**2.\nAnswer: 360*sqrt(19) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -55*j**5 + 1\/5 - 37\/10*j + 257\/10*j**2 - 817\/10*j**3 + 229\/2*j**4 = 0.\nAnswer: 2\/11, 1\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548837 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 5 + 5 + (1 - s - 1)*(-2 + 5 - 4))*(102*s**2 - 54*s**2 + 4*s**3 - 65*s**2) to t + g*s + f*s**2 + n*s**4 + x*s**3 and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) 4 (d) -0.6 (e) -51.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 11*p - 35. Calculate c(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 2*h. Let b(q) = 4*q**2 + 12*q + 2. Let z(u) = -b(u) - 5*y(u). What is z(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -z. Suppose 6*y = y + z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2057))**2 + -5.\nAnswer: -44*sqrt(17) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Suppose 5*t + 20 = c, -z + 3*t + 17 = 2. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6885 and 124695?\nAnswer: 1122255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143604 and 683.2.\nAnswer: -98110252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 49*b + 49*b.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*c + 40404 = 173*c + 49*c. Solve -r + 3*q = 2, 2*r + c*q + 4 = 110*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -129.247, -1, -5 in decreasing order.\nAnswer: -1\/4, -1, -4, -5, -129.247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -16 - (-9 + 8 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(0 - 1) + -13. Round x to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5, -y + 3*n + 15 = y. Let z(o) = 2*o**3 + o - 120. Let r be z(y). Is 40 a factor of r\/((2 - (0 - 0))\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 - (-37 - -34 - -19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igrgwrggcgwg. Give prob of sequence cgwc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert d643 (base 15) to base 7.\nAnswer: 246015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 6*z)*(-2 - 2 - 10*z - 6*z - 9).\nAnswer: 32*z**2 + 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 52*b**2 + 177*b + 3. Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + abc87?\nAnswer: abc84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120466640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d - 45 + 45 + (1 + 1 - 3)*(-3*d + d + 0*d) + d + 0*d + 0*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, 0.9, 0.102, -0.5, 7?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myyx when four letters picked without replacement from {m: 3, y: 4, f: 3, c: 6, x: 2}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119938 - 0?\nAnswer: -119938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -147?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 84. Suppose -1 + 5 = -4*v, 0 = -5*a + 5*v + k. What is the highest common factor of a and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6540*m**2 + 2*m*v**2 + 249*m*v + 2650*v**2 + v + 761 with respect to m.\nAnswer: 13080*m + 2*v**2 + 249*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03542341519 to 6 dps.\nAnswer: 0.035423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -911492608 and -1885.\nAnswer: -911494493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 33*v + 51. Give w(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100160*c**2*x**4 - 62666*c**2 + c*x**3 - 2 wrt x.\nAnswer: -400640*c**2*x**3 + 3*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, u: 1, v: 4, a: 2, t: 1}. Give prob of sequence taou.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -382 + 385. Suppose m*j + 2*x = 3018, -5*j + 8*j - 3027 = -5*x. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 3468*w**3 + 24215958*w**2 + 22298664312*w - 82685530535112 = 0 for w.\nAnswer: -3006, 2139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.5, 3, -0.19, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 4*j = 24*s - 17, 5*j = 2*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 11:19 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -4*(sqrt(288) + 0)*3 + (sqrt(288) - ((0 + (sqrt(288) + 0)**2 - sqrt(288)) + sqrt(288)) - (sqrt(288) + (0 + -2*sqrt(288))**2)) + 5).\nAnswer: 288*sqrt(2) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1518.7 - -1520.7. What is the nearest to u in 5\/2, 1348\/9, -0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 - 18 - -55*127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let l(b) = -6*b**3 + b - 5. Let z(v) = v**3 + 1. Let r(k) = 2*l(k) + 9*z(k). What is the tens digit of r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from uuuyyyyuuuuyy?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 110.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 45*f - 8.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101142 (base 5) to base 3\nAnswer: -11112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from lggllkg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 3426*m**2 - 1278564*m + 154828632.\nAnswer: -3*(m - 434)**2*(m - 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 376*y - 5600. Does 93 divide t(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -222.045 and 163804601.\nAnswer: 163804378.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c = 70*c + 53235. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13444*h + 800 = 13404*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -4*n, 4*q + 0*q - 3*n - 1 = 0. Let f be (-39)\/(-4) + q\/(-8). Solve -10 = 4*m + f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 32287147600 to the nearest one million.\nAnswer: 32287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((7\/9)\/(-7))\/(150\/(-135)). Let c = 3\/23 - 61\/115. Suppose -2*d - 2 = -10. What is the nearest to t in c, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350754 is divided by 13925?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*k - 80*k + 49*k.\nAnswer: -97*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 318474329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -51. Suppose 0 = 42*q - 37*q + p. Let t(o) = -2*o - 13. Let k be t(q). Solve -5*y + k*v + 15 = 0, y + 4*v + 4 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(108))\/((sqrt(225) - (sqrt(225) - sqrt(225)*2)) + sqrt(720)\/sqrt(5)))**2.\nAnswer: 972\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371329*f**4 + 2*f**2 + 12*f - 33698567.\nAnswer: -1485316*f**3 + 4*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6401 divided by 3?\nAnswer: 6401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/6 - 6*m. Let x(k) = k**2 - 4*k - 1. Let g(b) = 5*q(b) - x(b). What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186874716?\nAnswer: 2, 3, 7, 37, 60127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 - 12*b**2 + 59*b + 7. Let x be v(3). Let u(k) = k**2 - 2*k - 2. What is u(x)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 < -79\/691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176) + 1 + sqrt(176) + 5*(sqrt(176) + 1))**2 + 5 + (sqrt(176) + -1 - sqrt(176)) + 4 + -5.\nAnswer: 112*sqrt(11) + 8631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1263 - 1263.2. What is the nearest to 0 in 0.06, 3\/7, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b**3 - 52*b**3 + b + 29*b**3 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 8*f - 25. Let r be g(-13). Calculate the highest common divisor of r and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.1, 0, 4\/43, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 530875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51133, 102275, 153419, 204565, 255713, 306863, 358015?\nAnswer: 409169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/2 (b) -5 (c) 2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**3 - 17*r**3 + 2 + 20*r**2 + 39*r - 23 + 8*r**3. List the prime factors of u(-17).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 - 2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 65*d**2. Let v(u) = 15405159*u**2. Determine v(j(h)).\nAnswer: 65086796775*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 3.7. Let j = -27.3 + 29. Let a = j + s. Put a, -0.01, 1\/4 in increasing order.\nAnswer: a, -0.01, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10839178 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**4 - 4*y + 3. Let u(x) = 9*x**4 - 3*x + 2. Let h(l) = -2*f(l) + 3*u(l). What is the second derivative of h(t) wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s - 88. Let o be j(13). Suppose -n - p = -1, n - 4 = -o*n + 4*p. Calculate the lowest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let o(w) = 360951*w**2. What is p(o(l))?\nAnswer: 260571248802*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {e: 2, z: 7, f: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.79*-4\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.056 and 468?\nAnswer: 26.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5300)\/150)\/(-1 - (1 - -18)) and 89\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m**11*m*m*m**4\/m*m**0 assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*d + 76*d + 11*d**2 to a*d**2 + s + f*d and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 - -3?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*k. Suppose -3*r + 30 = -k*r. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58241?\nAnswer: 139, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrpnxnlnr. Give prob of sequence plxr.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*a**4 - 3\/4*a + 9\/4*a**2 - 3\/2 + 3\/4*a**3 = 0 for a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*u + 14 = 0, 0 = 4*m - 3*u - 11 + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x + 3. Let z be j(2). Suppose -60 - 15 = -z*n + 5*w, -9 = -3*w. Let s(f) = 68*f. Calculate the remainder when s(1) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 8. Is (-12)\/8 + (-156)\/b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let q(g) = -129477746*g. Calculate d(q(n)).\nAnswer: -129477746*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1029169158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)*-7 - (-10 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-567))\/((-3)\/(-27))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.28, 1.067564?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 123800 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 24*q**2 - 34*q + 6. What are the prime factors of i(10)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 9\/7*t**2 - 3\/7*t**3 - 6\/7*t + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 26547336.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 4) to base 14.\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*f - 19, -3*n - 2 = f - 3. What is the derivative of n*k**3 - 6 - 6*k**3 + 10 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let t(y) = -1143*y**2. Determine t(s(f)).\nAnswer: -1143*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 15*n + 20. Let p(w) = 6*w**2 + 16*w + 21. Let u(x) = -6*p(x) + 7*z(x). Let a be u(10). Which is smaller: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**7*n*n*n))*n**(2\/13)*(n*n**(4\/5))\/n*n**1 assuming n is positive.\nAnswer: n**(777\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 7*o + 5. Let m be (-5)\/5 + (1 - (-7)\/(-1)). Calculate x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/((-28)\/(-20) + -1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4536531 and 0.7?\nAnswer: -3175571.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/3 - (-4324)\/1380\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m - 5*q, -3*q - 19 = -5*m - 1. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814111, -1628222, -2442333, -3256444, -4070555, -4884666?\nAnswer: -5698777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -0.1, 1\/5 in ascending order.\nAnswer: -1.2, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 244*d. Let f(b) = 3*b**2. Calculate f(m(y)).\nAnswer: 178608*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5252 (base 8) to base 11\nAnswer: -2062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -0.1, 1\/3, 0.2, -1\/2.\nAnswer: -1\/2, -0.1, 0.2, 1\/3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590718093?\nAnswer: 3, 7, 197, 142789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(105\/(-6))*1260\/((-1350)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -15\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 7. Let g be 1 + -2 + (-1 - a). Suppose -4*y + 84 = -g*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12541 - 425?\nAnswer: 12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 220.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2655 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143699 - -143581.191. What is t rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 >= 105809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*j = -2*j - 24, -j = -2*s + 12. Let n = 142 - 142. Solve -4*q - s + 0 = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - d - 7 - 2, 0 = 4*d - 12. Suppose 10*g - 214 - 26 = 0. Calculate the lowest common multiple of g and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/60 - (-6)\/10. Let z(v) be the first derivative of 0*v - 4\/9*v**3 - l*v**2 + 2. Factor z(m).\nAnswer: -2*m*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/7 + 884\/119. Is w not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 7\/270*w**5 - 1\/270*w**6 - 13*w**2 + 0*w + 2\/27*w**3 - 7\/108*w**4 + 0. Solve t(h) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 14) to base 16\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 - 25622*c + 384405 = 0 for c.\nAnswer: -76881, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2876, -2914, -2952, -2990, -3028?\n\"Answer: -38*m - 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 206858346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -872 or -866?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 2)*1 - -2. Suppose 5*b = y - 102, 4*y + 3*b - w*b = 318. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**6 + 31673191*i**5 + 87310601*i**2 wrt i?\nAnswer: -360*i**3 + 1900391460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 + 545397130*t - 14872901470611845 = 0?\nAnswer: 54539713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/11 and 57\/1036.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 6 + f**2 + 4*f**2 + 7 + 2*f. Calculate c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-23*k - 15 + 15) + (-1 + 1 - 2*k + (3 + 3 - 5)*(-2*k + 2*k + k))*(-4 - 37 + 8) in the form b*k + x and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.6. Let l = -3349.74 + 3350. Which is the nearest to l? (a) x (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 161 = 49. Let q = 256 - 235. Calculate the highest common factor of s and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -58102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2889600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 3*c + 98 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from ntnnnnnnatnnnatatf.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619 + -619.1. Is -4 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753*j*k**3 + 2*j*n + 21*k**3*n - n with respect to n.\nAnswer: 2*j + 21*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116.7 or 5344?\nAnswer: 5344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -r + 2*r - 23262, -j + 3 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2512\/7173 or 0?\nAnswer: 2512\/7173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/12)\/((-1)\/2). Suppose -2*q + z*q + 4*y - 43 = 0, -8 = -q - y. Calculate the remainder when 0*2\/6 + 19 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2369*o**3 + 407*o**3 - 405*o**3 - 3749*o**3 + 913*o**3.\nAnswer: -5203*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -529 + 893. Let f = r + 92. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 29044780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.739102 micrometers to millimeters.\nAnswer: 0.000739102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let j(n) = 4*n - 21. Let q be j(10). Let u(f) = -17 + 9*f + q - 9*f + 28*f**2. What is m(u(z))?\nAnswer: -28*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3295319217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22782*v = 22786*v, -8 = 4*a - 4*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -20. Let p = r + -9. Suppose 2*o - p - 52 = 0. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1266*q. Let u(r) = -2*r**2. Give l(u(b)).\nAnswer: -2532*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let m = 0.2 - 0.13. Let j = m - 0.37. Sort q, j, -3 in descending order.\nAnswer: q, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let p = 2 + -2.8. Let o = p - -0.5. Which is the third smallest value? (a) -3 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 6*x + 2. Let g be r(6). Let z(m) = -6*m**2 + 3*m + 1. Let b(t) = -t**2 - t + 1. Let y(v) = -b(v) - z(v). Is y(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/6)\/i**(-6\/7))\/((i\/(i*i**(-2\/7)))\/i**(1\/6)))**48 assuming i is positive.\nAnswer: i**(304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 46*g**2 - 47*g**2 - g**2 + 43*g**2. Let d(a) = -2*a. Calculate j(d(n)).\nAnswer: 164*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/30 + 6*w**2 + 697*w. Let r(b) = 19*b - 19*b + 546*b**2. Give r(v(u)).\nAnswer: 2184*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29799.\nAnswer: 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 35*j + 50)*(0 + 0 - 2)*(-6*j**4 - 2*j**4 + 0*j**4).\nAnswer: -560*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l*l\/(l**4\/l*l))\/(l**(-9)\/(l*l*l\/l**(-1\/8)*l))*(l**(2\/23)\/l*l*(l**(-13)*l)\/l)**(-3\/5) assuming l is positive.\nAnswer: l**(9083\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/40 + 14223\/30. Suppose 0 = -9*z + o + 4422. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77634289*x**4 + 30*x**2 + 990*x - 177 wrt x?\nAnswer: 1863222936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - 141\/((-14946)\/(-1484)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 50, 95, 160, 251, 374, 535?\n\"Answer: i**3 + i**2 + 21*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90312924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 take away -35.5?\nAnswer: 154.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 950 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -550830023*j**2 + 185403865.\nAnswer: -1101660046*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o - 24*o - 7*o**2 + 5*o**2.\nAnswer: -2*o**2 + 50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3085, 3 in decreasing order.\nAnswer: 3, -3, -3085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*j = 154383 + 96571. Calculate the remainder when j is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 + x - 1. Let h(m) = m**3 + m**2 - 3*m + 2. Suppose 50*p = 48*p + 4. Suppose 2*c + 4 = 4*q - 14, 8 = p*q. What is c*h(v) - d(v)?\nAnswer: -2*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 204407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5 - 19. Let d = -5 - c. Let i be (1\/d)\/(28\/(-12)). Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -66 (b) 1.182 (c) 31 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*u + u. Let y be 24*3\/(u\/4). Solve y*o = 18*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - b + 1. Let f(n) = 200*n**2 + 20*n - 20. Give 100*a(c) + 5*f(c).\nAnswer: 800*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03303 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*b**4 + 0*b + 0 + 6\/5*b**3 - 8\/5*b**2.\nAnswer: 2*b**2*(b - 1)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6547 + 71969\/11. Let a = d - -698\/165. Suppose -6*m + 2*m - 4 = 0. Put a, -4, m in decreasing order.\nAnswer: a, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 930*f**5 - 6515*f**4 + 16775*f**3 - 18690*f**2 + 7540*f - 40 = 0.\nAnswer: 1\/186, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 7 - 8*l + 9 + 2*l**2 - 2*l**4 + 5*l**4 - l**4 to j*l**3 + a*l**4 + n*l**2 + y + z*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p + 29. Does 20 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42868051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 9. Calculate y(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 + 2*t - 5. Let i = -336 + 603. Let q(c) = -5*c + 143 + 11*c**2 + 135 - i. Determine 7*g(n) + 3*q(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w. Let p(t) be the second derivative of t**3\/6 - 20*t. Give p(i(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 635, 248, 38 in decreasing order.\nAnswer: 635, 248, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - -9) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 5. Let m be ((-20)\/8)\/(1\/2). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 502.2395 centimeters?\nAnswer: 5022.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/213 (b) -0.2 (c) -3\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*j**4 + 13 + 4*j**2 + 6*j**4 - 28*j**4 - 10*j**4 wrt j?\nAnswer: -3240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26535 to three dps.\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3018 + -0.296001. Round a to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9332 = 1245*z - 23753 - 27173 + 1743 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + k = -244, n - 4*k + 2*k = 68. Let t = -58 + n. Which is the third smallest value? (a) 1 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.019 in 1, 5\/4, 4, -0.3, -0.51?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from cccwwwcwcwwccwww.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 2, c: 1, o: 6, x: 1}. Give prob of picking 1 x, 2 o, and 1 f.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 28*u**5\/5 - 39*u**4\/4 + 682*u**3 - 2852. Find the third derivative of m(c) wrt c.\nAnswer: 672*c - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.8, -80?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-16)\/(-12))\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98220*u**2 + 205738*u wrt u?\nAnswer: 196440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*g - g + 7, w = g + 1. Suppose 3*d + y = 26, d + 3*y + 3 - 9 = 0. Factor d - 2*k**w - k**3 - 9.\nAnswer: -k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -6772827.822.\nAnswer: -6772827.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h - h)*(0 - 7065*h + 0 + 5969*h) to the form r*h**2 + f*h + u and give r.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.397665 times -5?\nAnswer: 71.988325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -865\/8. Let t = 2.91 - 1.91. Which is the second smallest value? (a) l (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**7)**13\/(f*f\/(f**(-2\/9)*f)*f*f*f)**(-41) assuming f is positive.\nAnswer: f**(856\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.5433 + -0.5433. Let g = -0.31 - -0.01. What is the biggest value in b, g, -6\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 3, j: 3, d: 2, v: 1, n: 2}. What is prob of picking 1 z, 1 n, and 1 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)\/t*t**(3\/7))**(35\/2) assuming t is positive.\nAnswer: t**(-475\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6258158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/8)\/((-9)\/36)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h - 20 = -a - 60*h, -3*a + 2*h = -48. Let f(m) be the third derivative of m**4\/6 - m**3\/3 - m**2. What is the least common multiple of a and f(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117\/52 + 11\/(-12). Let b be 4\/(-6) - (-3)\/(-9)*-2. Determine f so that f**2 + 1\/3*f**4 + v*f**3 + b*f + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8762 and 0.0668?\nAnswer: 8762.0668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2834.4 + 2851.219. What is w rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 63.\nAnswer: 2.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (3 - 18) - (20 + -43)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 140, 215, 372, 641, 1052, 1635, 2420, 3437?\n\"Answer: 5*h**3 + 11*h**2 + 7*h + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**4\/26 + 2*m**3\/39 + m**2\/13 - 2*m\/13 + 11. Suppose o(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 14*c**2 - 4*c + 19. Let j be o(-13). Suppose j = 2*v + 22*v. Solve 5*r + 25 = -5*f, 6*r + v = r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8585744 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**5\/110 + b**4\/33 + b**3\/33 - 2*b**2\/11 - 241*b + 48. Let s(a) be the first derivative of m(a). Let s(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224.7 - 208. Let x = 17 - t. Which is the nearest to -2\/5? (a) x (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.7 + -45. Let c = d + -5. Let v = -2839\/9 + 315. What is the third biggest value in 2\/9, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 79*l**2 + 3*l - 3. Let j(q) = 5371*q**2 + 205*q - 205. Calculate -3*j(i) + 205*y(i).\nAnswer: 82*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i + 313. Let d(s) = 3*s + 14. What is -4*d(j) + w(j)?\nAnswer: -26*j + 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6))\/(t\/(t**(3\/7)\/t))*t*t\/(t**1\/t)*t*t*t\/t**(1\/6)*t assuming t is positive.\nAnswer: t**(473\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*u = -525*u - 88 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 602\/3. What is the closest to 1\/8 in l, 0.1, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142.076 + 142. Let v = w - 0.124. What is the nearest to 1 in -1, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294846 and 7833138?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 4*sqrt(882))\/(sqrt(180)\/sqrt(5)).\nAnswer: 29*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.69 + 0.11. Let n = 0.2 - d. Let k = 1 + n. What is the second biggest value in k, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13616022 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 2866 + 7998 = 0. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 6. Let m(k) be the first derivative of -k**5\/60 + k**4\/8 - 2*k**3\/3 - 8. Let g(i) be the third derivative of m(i). Give 3*d(u) + 5*g(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 100877407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 2\/17, 0.1, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.7 and -8.\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 8*v + 5. Let d be i(6). Let r = 11 + d. Solve -2*x = 10, -5*p + r*x = -7 - 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23+0.42\nAnswer: -22.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 381333 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**3 - 2*c**2 - 5. What is t(3)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001329402711 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4542270 + -773\nAnswer: 4541497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19096)\/(-773388))\/((-3)\/((-81)\/15)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 0 + 784\/3*a - 280*a**2 + 19*a**3 - 1\/3*a**4 = 0.\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 12 - 46 = -28*y + 23*y, 5*h = 5*y - 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7672423?\nAnswer: 11, 17, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-377)\/(-5) - 38\/(-95). Let v = a + 140. Suppose -15*u = v - 831. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.9*-0.160849\nAnswer: -4.8093851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 91*i - 89*i. Calculate the greatest common factor of i and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -49. Let r = h + 101. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(56\/21)*(-378)\/81?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 15*n - 9. Suppose -7*y + 49 = 7. Does 17 divide j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 19. Suppose c*n = 11*n + 10. Does 27 divide ((-18)\/(-27))\/(n\/(-162))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 15469135 - 681757. Let y be 231758037\/(-36) + (-1)\/(-4). Let x = s + y. What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -117. Find the third derivative of -a*j**2 - 43*j**4 - 27*j**4 + 5*j**4 - 25*j**4 wrt j.\nAnswer: -2160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -40. Let n = v - -23. Let f = n + -3. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -1105268?\nAnswer: -73\/1105268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -21, -4 in descending order.\nAnswer: -5\/4, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 34750058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 16) + (11 - (13 + -2 + -13))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 24*m**2 + m - 5. Let n be q(-4). What is the greatest common divisor of n and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 60357 = 3339. Suppose -2*n - 3*q = 3360 + 7676, -2*q + 8 = 0. Let p = i + n. Round p to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77839069 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 22. Let n(t) = 49 + 32*t + 41*t + 23*t + 17 - 102*t. Determine -8*a(j) + 3*n(j).\nAnswer: -2*j + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from zffzmfffmsfs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -41. Suppose 0 = 4*z + 2*q - 58, -2*z - 2*q = -z - n. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1*(((n**0*n)\/n)\/n)\/n)**(-44))**(-7\/9))**(1\/11) assuming n is positive.\nAnswer: n**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 (base 6) in base 4?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Let y(c) be the third derivative of 0*c**5 + 1\/105*c**7 + 0*c + 0 - 1\/6*c**3 + b*c**6 - 2*c**2 + 0*c**4. Differentiate y(k) with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-10)\/(-75)*(-1)\/(-4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l**2 - 11*l + 2. Let h be c(5). Suppose -h = o - 797. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -878*s - 1752. Give p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/45 and -113\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 23*o - 20. Let x be n(24). Suppose -454 = -5*s + x*u, u - 2 + 3 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 15, 21, 29, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 43*h - 2. Let g(i) = -121*i - 1. Let u(k) = -4*k**2 + 239*k + 2. Let l(r) = -2*g(r) - u(r). Give f(l(q)).\nAnswer: 172*q**2 + 129*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b. Let l(n) = 2*n. Let x(w) = 13*w - 258. Let u be x(20). Determine u*z(i) + l(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 72, 110, 148, 186?\n\"Answer: 38*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -621 + 760 - (-1 + 70)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + z**2 - 3*z**3 + 5*z - 5*z to the form u*z**2 + p + s*z + o*z**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 792*i**2 - 1244*i - 4772274.\nAnswer: 1584*i - 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = 32*b - 3*m + 49, 3*b + 19 = b + m for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Suppose 0 = -7*d - 9*d + 32. Suppose -d*l - g = -3*l. What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 615*c**2 - 320*c - 139*c**2 + 129*c**3 + 67*c**3 + 48.\nAnswer: 4*(c + 3)*(7*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.50836 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*x + 3. Let u be 9\/(x + 2 + -1). What is the units digit of 1 - 3*6\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 197 - 32. Let c be o\/(-12) - 3\/4. Is 1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 2) + (-9 + 11 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 22*k**2 - 41*k - 15. Let a be p(-20). Let h be (4 + 0)*(-130)\/(-8). Suppose a*c - y = y + h, y = 5. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -772, 0, -284 in descending order.\nAnswer: 0, -284, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 2\/5, 1, -1\/16, -0.4, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 16. Sort 1, -5, l.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*f**2*g**3 + 2569*f**2*g + 2*f*g**3 - f*g**2 + 2*f + 3*g**3 - 59 wrt f?\nAnswer: 272*g**3 + 5138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 45*q**3 - 5*q + 5. Let y(h) be the third derivative of -23*h**6\/120 + h**4\/8 - h**3\/2 - 17*h**2 - h. Determine -3*u(i) - 5*y(i).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u = 2*r + 12, 8 = u + 3*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39296 divided by -8\nAnswer: -4912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220120022212220 - -120?\nAnswer: 220120022220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 5*b + 88 = -14, -13*b + 8*b = 4*g - 132 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 26 = c, -4*c - 144 = 5*d - 10. Let l = d - -33. Let z = -21 - -21. Solve z = 2*r - l*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/2)*k*k\/(k*k\/k**(-3)))\/(k**(-7)\/k**(2\/3)))\/((k\/(k\/k**(-2\/21))*k\/k**(2\/9))\/((k*k*k**(-2\/9))\/(k**(-2\/13)*k))) assuming k is positive.\nAnswer: k**(1319\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065904 + 1065568 = 21*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**2 - 15*j - 5200. Determine z(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7927.545 rounded to the nearest 10?\nAnswer: -7930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 28. Let m be (-1833)\/(-169) + (-2)\/(-13). Let f be g(m). Which is the nearest to f? (a) -0.07 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 5.08. Let u = 5.1 - n. Which is the closest to u? (a) 2\/7 (b) -2\/7 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073702 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2425868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 110110011?\nAnswer: -110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/130 and 57\/620308.\nAnswer: 3101540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1727, 3130, 4377, 5468?\n\"Answer: -78*j**2 + 1637*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 271*n**2 + 204*n + 203. Determine x(-67).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 116. Let r be c(0). Suppose -464 = -4*w - r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2745 and 2730?\nAnswer: 499590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0345 and 1086.58.\nAnswer: 37.48701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 701 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 51, 55, 59, 63, 67?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*d - 43, -4*p - 172 = -0*d - d. Let b = -73 - p. Is 12 a factor of b*(8\/(-10) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57660081 to 3 decimal places.\nAnswer: -0.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8167135 and -196?\nAnswer: 195.1832865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/267 + -8269\/2136. What is the common denominator of 21\/2 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197200035 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 956\/70 + -2 - (-4)\/(-14). Let a = r - 74\/7. Factor 2\/5*l + 2\/5*l**2 - a.\nAnswer: 2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111, 90, 51, -12, -105, -234, -405, -624?\n\"Answer: -j**3 - 3*j**2 - 5*j + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 3*d - 9. Let a(x) = -x**3 - 5*x**2 + 2. Let j be a(-5). Let c be (-2)\/j*7*1. List the prime factors of z(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-396)\/704.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104683 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**5 + 768*w**4 + 33580*w**3 + 431952*w**2 + 1100416*w - 1566720 = 0?\nAnswer: -136, -36, -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 1404 - 1404. Let w(m) = -m + 9. Give w(z(u)).\nAnswer: -2*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 88*z. Let t(x) = -5087*x + 10. Let u be t(-1). Let c(k) = -u*k - k**2 + 5097*k. Give r(c(s)).\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i + 3. Let w be b(7). Let l = -24 + w. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9.8. Let d = -43 - -42.2. Let u = d + h. What is the nearest to u in 0, 9, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -8*i - 35. Solve z + 6 - 2 = i*c, 0 = c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 216*n**2 + 6*n - 18. What is b(3)?\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4*j - 35 + 46, 5*j = -5*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.179133308+-7\nAnswer: -8.179133308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -5*o**8\/7 + 31*o**5\/20 + 11*o**4\/4 - o**3\/2 - o**2\/2 - 398*o - 2. What is the third derivative of f(j) wrt j?\nAnswer: -4800*j**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (19 + -6 - 12)) + -81 + -3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2 - 7. Let w be 10\/((4*u)\/(-4)). What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from {x: 2, a: 1, g: 2, n: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -72, 8223, -1, 12 in increasing order.\nAnswer: -72, -1, 0, 12, 8223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -94.6. Let n = -100212.40044 + 100215. Let o = n + g. Round o to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (99 + -47 - 54)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-344 + 2)\/((-9)\/(-6)). Let s = -139 - t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1988 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8919 - -8919. Let y = -121 - -1576\/13. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -1, 8, -5, -4, 11, 4 in increasing order.\nAnswer: -5, -4, -1, 4, 8, 11, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 741 = 735. Let s(t) be the first derivative of 3\/4*t**4 + 5*t**o - 5 + 9*t + 21\/2*t**2. Let s(f) = 0. What is f?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2369, -16 in increasing order.\nAnswer: -2369, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 3079, 6799, 12003, 18691?\nAnswer: 26863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3758441?\nAnswer: 1129, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 26. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.8 and -8495.\nAnswer: -406061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-2*-1 - ((0 + sqrt(605))*-6 + sqrt(605))) + (5*2*sqrt(5) + 5)*-3)**2.\nAnswer: -1410*sqrt(5) + 11270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2400750449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 23) + (-2 - (1 + -2 + -6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i + 17. Determine m(11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((29\/(-87))\/((-3)\/((-162)\/(-3))))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1230100 (base 4) to base 13\nAnswer: 31cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.99889 + 98. Round t to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 37*s**3 - 3*s + 31*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.592 + -149.608. Let c = z - -150. Which is smaller: -212 or c?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*i + 13153 = 9583 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 842.2418 - -72?\nAnswer: 914.2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - r**3 + 3*r**2 + r**2 - 2*r**3 - r**2 - r**3 - r**3 + r**3 + (-2*r**3 + 3*r**3 + r**3)*(-4 + 1 + 2) - 18*r**3 - 4*r**3 + 10*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1373, 2750, 4127?\nAnswer: 5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2392370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 29*a**2 + 6*a - 6*a.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(343) + 3 + -4 + (-6*sqrt(21)\/sqrt(3) - (0 + 2*sqrt(7))) + -4.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -33 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 735263, 735685, 736105, 736523, 736939, 737353, 737765?\nAnswer: 738175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 738872 (base 10) to base 13\nAnswer: 1cb404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, -0.3, -2610068?\nAnswer: -2610068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 6*w + 7*w - 27. Which is bigger: w or -282?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 30. Let p be w(0). Let b = 81 - p. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15598384 divided by -3?\nAnswer: 15598384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/30)\/((-9)\/36))\/((-96)\/54)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p - 9623 - 102*p + 4802 + 2*p**4 + 4799 to the form n + r*p**2 + b*p**3 + v*p**4 + x*p and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 311538 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 151*z + 12*z**2 - 151*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15266.47166 and 0.271467.\nAnswer: 15266.743127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12257259 is divided by 2722?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8 + 7*h - 5 - 4*h. Let i be l(4). Solve n + 2*n + i = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1821720.\nAnswer: 1821720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 567085 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from {s: 10, j: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-735)\/(-294)*4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3010, -2216, -168, 3758, 10186?\nAnswer: 19740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969611332.\nAnswer: 2, 242402833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/89 and 121\/1134.\nAnswer: 100926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 57*g - 103. Calculate u(27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - 1. Let p(s) = 3*s + 3. Let y(r) = -7*r - 8. Let t(x) = -5*p(x) - 2*y(x). Determine -2*t(v) - 2*z(v).\nAnswer: 10*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4 and 33\/280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2584 - -2588. Let y be (-6)\/5*(-2 - 3). Factor -18*p**3 + 16*p**a + 7*p**2 + 2*p - y*p**4 - p**2.\nAnswer: 2*p*(p - 1)**2*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 77?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 3, o: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Suppose 4*p = -8, 23 = 4*n + n - 4*p. Suppose -4*g = n - 23. Which is the third biggest value? (a) r (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1824, 1167, 72, -1461, -3432?\n\"Answer: -219*h**2 + 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*n - w + 3, 0 = n + 5*w + 34. Let r = 1 - -11. Let o = r + n. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -314.\nAnswer: -246\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3*v**2 - v**2 + (-3*v + v + 0*v)*(54 - 54 - 15*v) + 2*v**2 + 2*v - 2*v)*(20 - 22 + 27).\nAnswer: 750*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -152*i**3 + 108*i**2 + 31. Let y(m) = 455*m**3 - 306*m**2 - 93. What is 17*s(a) + 6*y(a)?\nAnswer: 146*a**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 309656 = 3*w + i, 0 = -2*i + 10. Let l be (17 - w)*(-100)\/(-6). What is l rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.95 + 1.85. What is the closest to -1 in 2\/13, -2.8, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/((g\/((g\/(g\/(g\/(g*g\/g**(-1))))*g)\/g))\/g)*g*g))\/g*g)\/g)**(-2\/165))**(-39) assuming g is positive.\nAnswer: g**(-26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4680978 divided by -6.\nAnswer: -780163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:18 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - m + 33, -2*m + 226 = 5*z + 46 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 51*x + 2 - 16 = 2*f, 0 = 3*x + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 7*z. Let r be w(4). Let f = r + -4. Calculate the smallest common multiple of f and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4928*j - 4907*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2021, 3147, 4213, 5219, 6165?\n\"Answer: -30*f**2 + 1216*f + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 621, 2220, 5329, 10452, 18093, 28756, 42945?\nAnswer: 61164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:49 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p, -g = -3*g - 4*p - 5528. Let m = 102973787\/18 - 5718007. Let j = m + g. Calculate the common denominator of j and 51\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11664 = -9*r + 621. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*c = 1 + 1, 5*w + 40 = 2*c. Let m be ((3 - 2) + -11)\/2. Is m >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 80. Suppose v*g - 43 - 1649 = 0. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132420 (base 5) to base 10.\nAnswer: -5360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92\/66551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113000000 rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(304) + (sqrt(285)\/sqrt(5) + sqrt(57))\/sqrt(3) + 4)**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from kccqqccrqrbc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 14, 1\/436?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:35 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*o - 10 = 0, -2*l = -4*o - 11 + 1. Let w = 67 - 61. Sort l, w, -4 in increasing order.\nAnswer: -4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*y - 26855 = -60955 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/4*(-915)\/183\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:04 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98 in -46, -0.63, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**3 - 4*n + 4*n + (2*n**3 - 2*n**3 + 2*n**3)*(-3 - 4 + 5).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 0 + 0 + (-2*s - 3*s + 7*s)*(25 + 23 - 7) to z + b*s and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5413*-1.\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 430807 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1011100011 (base 2) to base 11\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2 + 2)*(0 + 6 - 5)*(4*s - 4*s + s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486*b - 2158 - 77863 - 43108 = -7221 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + b**3 + 10 - 10 - 5*b**3 + (-5*b**3 + 3*b**3 + 0*b**3)*(-4 - 4 + 5).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/7*h - 9\/7*h**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*n + 831, 5*n - 2*w + 6*w = 1050. Let q = n + -476. Let b = q - -449. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -16. Let d(w) = -w**3 - 6*w**2 + 9*w - 10. List the prime factors of d(i).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/15)\/((-2)\/(-1 - -103)) + 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626 a factor of 132903778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 50. Let c = u - -18. Suppose 3*g + 2 = -1, g = c*m - 37. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37395617 at most as big as -37395616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q + 7. Suppose a + 12 = -a. Let z be f(a). Put z, 3, -1\/9 in increasing order.\nAnswer: -1\/9, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2995 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/2304)\/((-17)\/(-340)))\/((-3)\/4)?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -19, -14, 15, 80, 193, 366, 611?\n\"Answer: 2*n**3 - 6*n**2 - 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73858132*f*l**3 - 1349094*f*l**2 - 25*l wrt l?\nAnswer: -443148792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1190*z**2 + 1186*z**2 + 1.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmwwmm.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 6. Let l be 0 - 3\/((-9)\/n). Let s = -8171 + 8173. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 29 = -7*a. Let c be a*(-6)\/4*(-7)\/(-21). Let v(n) = -3*n + 5 - c. Let g(l) = 20*l**2. Calculate g(v(t)).\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 196945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043 + 121 = -2*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-132) + (-1 - 0)*0. Sort -3\/5, c, 1\/5 in descending order.\nAnswer: 1\/5, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 458*k - 13. Let s(r) = -r - 3. Let o(n) = j(n) - 5*s(n). What is the derivative of o(p) wrt p?\nAnswer: 463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + -2 + sqrt(5)*2)*5 - (5 + 1*(sqrt(55)\/(sqrt(11)*2 - sqrt(11)))**2))*-6.\nAnswer: -90*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5.1, -2.1, -706, -1, 4, -2\/7?\nAnswer: -706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 2688*s\/11 - 865630\/11.\nAnswer: -2*(s - 809)*(s - 535)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = -4*s, s = -2*n - n - 9. Let x(f) = f - 7. Determine x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5376, -10821, -16266?\n\"Answer: -5445*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837125 is divided by 367423?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2770)\/5524 + 7\/14. Let k = p - -20723\/5524. Is k bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/5 + 42176*t**3\/5 - 20812464*t**2\/5 + 677725056*t - 183444930144\/5 = 0.\nAnswer: -21574, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {c: 2, l: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.94 + 0.06. Let i = 32 - o. What is the smallest value in -0.4, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575713665 divided by 115142733?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*v - 2*v - 8, 0 = -5*q - 5*v - 10. Suppose h = -3, -4*h + q*h = -z + 13. Put z, 0, -1 in decreasing order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -4*b**8\/315 + 4*b**7\/945 - b**6\/1620 + b**5\/10 + 5*b**4\/8 + 25*b**2. Let d(v) be the third derivative of g(v). Factor d(a).\nAnswer: -4*(24*a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8425182)\/(-17267) + 4\/62. Let x(r) = r**3 - 8*r**2 + 8*r + 1. Let q be x(7). What is the highest common factor of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4 + 6526060*v**3 - 45682556*v**2 + 97891284*v - 58734792 = 0?\nAnswer: -1631522, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -391103.474 rounded to the nearest 100?\nAnswer: -391100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*n - 10, -3*n + 2*m - 6 = -2. Do 3\/11 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -529, -563, -609, -673, -761, -879, -1033?\n\"Answer: -k**3 - 27*k - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))**(-3\/5))**(-44)*(((j**2\/j*j)\/j)\/(((j\/(j**(-2)*j))\/j)\/j))\/(((j\/(j\/j**(-1\/4)))\/j*j)\/j*j**0) assuming j is positive.\nAnswer: j**(-483\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34924, -34928, -34932, -34936?\n\"Answer: -4*o - 34920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -872 times 2\nAnswer: -1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 162611 (base 7) in base 2?\nAnswer: 111110111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/5)*m)**(-44\/7)\/((m**1*m*m)\/m)**(-37)*(m**(4\/5)\/m**(3\/8))\/(((m\/m**(-1\/4))\/m)\/((m**(-6)*m)\/m)) assuming m is positive.\nAnswer: m**(2973\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*k - 1025 - 115 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/2 + 11*o**3\/3 + 817*o**2\/2 - 1243*o. Differentiate j(r) with respect to r.\nAnswer: 12*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(34\/42 + 6\/(-9)). Let u = y - -87. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 7*o - 26299, 181*v - 18818 = -5*o + 185*v. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212 - -2002100?\nAnswer: 2020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 27982470118.\nAnswer: -27982470117.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 7*f**2 + 3*f**2. Let b(v) be the first derivative of -7*v**4\/4 - 6*v + 1. Let i(x) be the first derivative of b(x). What is l(i(g))?\nAnswer: -441*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/280 and 41\/450975.\nAnswer: 3607800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 97*o + 64*o = -103, -3*k + 2*o = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7742, 7745, 7752, 7763, 7778, 7797?\nAnswer: 7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 834 from -0.02496958.\nAnswer: -834.02496958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000990354844 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 318085, 318100, 318115?\n\"Answer: 15*v + 318070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3680442 is divided by 216495?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5724 and 185103348.\nAnswer: 1665930132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403 by -683.\nAnswer: 403\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572696?\nAnswer: 2, 7, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -480 - -478. Let l be (-2)\/(-4)*(5 + 21). Suppose 3*z + l = 7. Which is the nearest to o? (a) z (b) -1\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421 - -443. What is the remainder when 125 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.88 rounded to 1 dp?\nAnswer: -29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10460978 and 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27785, 232443, 787937, 1869683, 3653097?\n\"Answer: 29236*x**3 + 2*x**2 - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = -2. Let s(j) = -7*j + 1. Let c be s(d). Suppose 5*z - 4*k = c, 2*k - 7*k = z. Solve 2*n - 24 = 3*o - 3*n, z*n = -4*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108016 by -86.\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 46. Let i = x + -38. What is the greatest common factor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001134703 rounded to 7 dps?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, 3, -200, -3\/10, -3 in decreasing order.\nAnswer: 5, 3, 2\/9, -3\/10, -3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 93 - 3063. List the prime factors of h.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000883928 rounded to six dps?\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 24. Let b be x(-10). What is the units digit of b*-14*5\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2\/2*1). Let m = 7 - -50. Let z = m + -57. What is the closest to z in -3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -3*m + 18, -14 = -m + 3*i. Suppose -4*a + 378 = a - 2*c, 0 = m*c + 8. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 51*f + 3. Let x be w(1). Let h = x - 40. Calculate the smallest common multiple of 4 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + h - 5 = -86, -2*h + 78 = 5*o. Solve 0 = 3*c + 4*y - o, 7 = 3*c - y - 4*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.638 + 148.062. Round d to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 3*g**2 - 7*g + 5. Give f(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 7*o**6\/40 + o**4\/24 - o**3\/3 + 2*o**2. Let k = 4409 + -4408. What is the least common multiple of r(k) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6.5. Which is the closest to -1? (a) d (b) -1 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggmgccddx. What is prob of picking 2 d and 2 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.8058995 take away -0.2?\nAnswer: -116.6058995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -85310 (base 11) in base 9?\nAnswer: -208272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3878689.028 - 7\nAnswer: -3878696.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:08 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6137 (base 10) to base 11\nAnswer: -467a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 131 (c) 4.826\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 4*i + 117. Let q be w(0). Let y = -51 + q. Calculate the remainder when y is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -10*k + 32. Let n(a) = a**3 + 9*a**2 + 8*a + 7. Give n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 17*g + 17. Let u(t) = 3*t**2 + 8*t + 8. Determine -6*b(f) + 13*u(f).\nAnswer: -3*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 3*i - 2*q, -i - 4*q = -3 - 144. Let x = i - -160. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*n - 11 - 11, -5*n - 2*l = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - (-68)\/11. Suppose -2*k + d - 3 = -4*k, -t = 2*k + 4*d. Let n = 14 + -9. What is the remainder when n is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -39. What is the lowest common multiple of b and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeoyfofxufx. What is prob of picking 1 y, 1 f, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.16927 millilitres?\nAnswer: 0.05316927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = -111764 + 112022 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpff when four letters picked without replacement from gpvhfvphgpvphgfphp.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u - 55*u - 2*b = 6, -4*b = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/38)\/z**11 assuming z is positive.\nAnswer: z**(-417\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494571.\nAnswer: 13, 114967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4354601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58717357643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n - 7*n**2 + n - 257*n**3 - 19*n**2 - 2*n**2 + 26*n**3 wrt n.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 12, 13*c + 12*c - 21*c + 8*x = 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.46 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2682*v - 3560*v + 789*v - 1446*v as u + q*v and give q.\nAnswer: -6899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 21*r + 78. What is d(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42107*v**4 + 4*v**2 + 339*v + 220 wrt v?\nAnswer: 505284*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211579733.\nAnswer: 3583, 59051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -4.95. Let x = 58 - 60. Put -0.5, 1\/2, p, x in increasing order.\nAnswer: p, x, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 13*x + 3*x. Suppose x = -h + b + 1268, -11*b + 9*b - 3803 = -3*h. What are the prime factors of h?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -312726 in 83, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**3\/6 - 4*x**2 + 42*x. Let b be k(7). Is 21 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 10:14 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 723.3 and 0.4?\nAnswer: 289.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*t + 17 = -l, 0 = 2*l + 5*t + 2. Suppose 0 = 8*g - l*g + 1. Is g at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 17. Let s be (12\/x)\/((-5)\/(-25)). Let d be (-6)\/2 + s\/(-1). Let k(q) = -q**2 + 2*q - 3. Give k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -2 in increasing order.\nAnswer: -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3976\/11 + -360. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500) - (sqrt(500) - (sqrt(500) - sqrt(500)*2))).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*7\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797\/(0 + 1)*(-541)\/(-541) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -458446\nAnswer: -916892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 2 - 5 - 5*f**2 + 6 with respect to f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-180))\/(24\/(-70))*(-4)\/(-14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/35 + (-1380)\/(-14) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*z + 1412*z - 46536 = 0 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 15 = 11*a + 5*r, -4*a + 12 = -4*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22a823 (base 13) to base 15\nAnswer: 113d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, -0.0624, -2\/21, 2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 5*c - 75684*c**3 - 5802*c**3.\nAnswer: -81486*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 0, 4\/3, -15.51325?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/91 not equal to -12281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -548*n**2*r**2 - 37*n*r + 2*r**2 wrt n.\nAnswer: -1096*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1899*l + 4. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30134802 is divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4394913 and -131\/12.\nAnswer: 17579652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 40 = -5*s, -227*s - 3*t = -231*s + 43 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 4388*j**2 - 1155424*j - 1151040.\nAnswer: -4*(j + 1)*(j + 436)*(j + 660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*24*18\/(-60)*35\/(-14).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x\/x**2*(x**(1\/2))**16)\/((x\/x**(2\/7))**(-11)\/(x**8*x\/x**8)) assuming x is positive.\nAnswer: x**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -53 (c) 141.852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665837.\nAnswer: 7, 79, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 34*d**2 + 3*d - 100. What is g(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -168*r - 64. Let j(g) = 13*g + 5. Determine 5*b(s) + 64*j(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 22. Let g be l(10). Factor 2*b + 7*b**g + 2*b**2 - 4 - 7*b**2.\nAnswer: 2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = 4*q. Let j be q - -2 - (-91)\/7. Calculate the greatest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73064 is divided by 5521?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.884 + 0.116. Let d be -2 - (1 - (-57)\/(-18)). What is the second smallest value in j, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - 0.2. Let w = 4 - n. Let j = 4 - 9\/2. Put w, j, 0.1 in descending order.\nAnswer: w, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1 plus 43.461?\nAnswer: 50.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -74.4. Let j be 3\/(-4)*2 - -1. Let z be (-10)\/24 - 1\/4. What is the second smallest value in j, z, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by 1.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47 + 14f3e7?\nAnswer: 14f3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101 (base 2) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*((-616)\/105)\/22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.801828g?\nAnswer: 3801.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/4 (b) -2 (c) -3 (d) 6 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*6 + 5 + -3. Let j be (224\/(-15))\/(y\/24). Suppose 196\/5*k**2 + j*k + 16\/5 = 0. What is k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k + 48. Let q be m(3). Solve 4*h + q*c = h, -5*c + 3 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9173.989l to millilitres.\nAnswer: 9173989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 1, u: 2, g: 1, q: 2}. Give prob of sequence fpqq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(11)*-1*3 + (5*(3 + sqrt(77)\/sqrt(7)))**2.\nAnswer: 500 + 153*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.1621 - 24.8441. Let c = r - -53. What is c rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 20. Let x(q) = q**3 + 2*q**2 + 3*q - 3. Let k be x(2). Let m = -10 + k. Calculate the remainder when m is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 11497*f**2\/3 - 11498*f\/3.\nAnswer: f*(f - 1)*(f + 11498)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 2892*g + 53872. What is c(945)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + q + 2303615 - 2303625 = -0*q, -372 = -2*p - 23*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600544 (base 7) in base 11?\nAnswer: 20a834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, -4, 39, 1 in descending order.\nAnswer: 364, 39, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) 0 (c) -51 (d) -5 (e) 1995 (f) 5 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 2 o when four letters picked without replacement from {n: 1, o: 2, t: 4, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0 + 1\/20*z**5 - 5\/2*z**2 - 1\/2*z**3 - 5\/12*z**4 + 20*z. Determine h(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2539.1, 2\/7, -2\/7, 0.03 in ascending order.\nAnswer: -2539.1, -2\/7, 0.03, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*w = -22, 800*w - 6 = -4*q + 802*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let x = 13 + -13. What is the closest to g in 1\/2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 11:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u - 9*u. Let x be 80\/(-8)*(-1)\/(-3 + u). Suppose 2*m + 4*h = -34, 2*m = -2*m - 5*h - 59. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/16)*m*m**10 assuming m is positive.\nAnswer: m**(173\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 635 + -635.081. Let z = g - 0.0432. What is z rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-3 - 1) + 10). Let b be 9 + p + -1*5. Let x(f) = 3*f**2 - f + 8. What is the units digit of x(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 7*h**2 + 6*h**2 - 2 + (0 + 0 + 2)*(1 - 3*h**2 - 1) in the form l*h**2 + i + n*h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*a - 18*a + 7*a**5 + (-a**3 + 5*a**3 - 2*a**3)*(-4*a**2 + 3 - 3) - 24*a**5 - 31*a**5 + 47*a**5.\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 867*w**3\/8 - 157974081*w**2\/8 + 899493091785*w + 1799025677307\/2 = 0.\nAnswer: -1, 1548774\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**3 - u**2 + 3*u**3 + 5*u**3 - 2 - u**4 to the form w*u**4 + c*u + f + a*u**2 + l*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 19 + 4 - (4 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/15))\/(c*c**(-3\/4)*c)*(c\/c**10)\/((c**(-1\/3)\/c)\/c) assuming c is positive.\nAnswer: c**(-141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -238.62388 * -1\nAnswer: 238.62388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*u + 27, 5*d - 111 = -4*u + 7*u. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -135, -159, -205, -279, -387?\n\"Answer: -a**3 - 2*a**2 + 5*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -156\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43354 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114946371 by 35379.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 276522347 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -31*d**2. Let v(g) = -20799*g**2. Determine v(u(j)).\nAnswer: -19987839*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (-3 + 3) - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k**2 - 89*k + 1. Let r be h(5). Solve 0 = 7*l + r + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)*(-3)\/3. Suppose -48*z + 53*z - 50 = 0. Suppose m = 6*x - x - z. Let c(p) = -p**3 + p - 2. What is c(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*w + 3*w - 75*w)*(3 + 3 - 4 + (-1 - 1 + 4)*(-1 - 1 + 10) + 3 + 2 - 7).\nAnswer: -3440*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3093 + 9?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1183 + 1050. Suppose 405 = -3*u - 3*w, 5*u + 4*w = -56 - 616. Is u bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 168, 11.\nAnswer: 0, 11, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 1494?\nAnswer: -16434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*t - 3 + 2*t**2 - 2*t**4 - 96*t as y + w*t**4 + x*t + m*t**3 + o*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -33. Find m, given that 32 - 16*m**b - 12*m - 4*m**3 - 32 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 29*p**5\/10 - p**4\/6 + 49*p**3\/2 - 35*p. Find the second derivative of i(g) wrt g.\nAnswer: 348*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, m: 2, j: 4}. What is prob of picking 2 s?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2884609063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/15))**17 assuming q is positive.\nAnswer: q**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.012 - 0. Let w = d - 0.0120009. What is w rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = g - 7, 41 = -5*g - 2*o. Let i(h) = -4*h - 11. List the prime factors of i(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*w + 37. Let o(v) = 27 + 3*v + 31 - 62. Let f be o(w). Solve f = -4*l + 3*a, 0*l - 5*a + 20 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27594266 divided by 5\nAnswer: -27594266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 32. Let p(l) = 6*l - 65. Calculate 6*p(x) - 13*s(x).\nAnswer: -3*x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -36*d - 214. What are the prime factors of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 257*t**6\/30 - t**5\/20 + 673*t**2 - 237*t. What is the derivative of a(s) wrt s?\nAnswer: 1028*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-2)*(-5)\/9. Let i = w + 22. Let h = 2.13 + -1.13. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/184 and 43\/56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72088.068078 - 72088. Let g = y - 0.068. Round g to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7943 rounded to 1 dp?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33395122417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.934 + -2. Round x to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 + 15*o - 5. Let q(b) be the second derivative of -3*b**4\/4 + 31*b**3\/6 - 9*b**2\/2 - 275*b - 7. Give -6*q(j) + 11*x(j).\nAnswer: -j**2 - 21*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23823845.7 and 0.\nAnswer: 23823845.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) -0.9 (d) -1 (e) 1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 18*r + 25. Suppose 447*i - 456*i + 864 = 0. What is the remainder when i is divided by t(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453786 (base 9) to base 2.\nAnswer: -1000010010111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 15\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159317, -157959, -156599, -155237?\nAnswer: -153873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/29, -9\/44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418247 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34767.\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -7*x**3\/3 - 1712*x. Let a(t) = 12*t**2 - 9*t - 9. Let w(k) = 6*k**2 - 5*k - 5. Let o(z) = 5*a(z) - 9*w(z). What is p(o(d))?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, 15.45, 0.3, -0.5 in increasing order.\nAnswer: -2\/3, -0.5, 0.3, 0.4, 15.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*l)*(3*l - l + 0*l)*(-21*l + 5*l - 11*l).\nAnswer: 216*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 340, 516, 692?\n\"Answer: 176*d + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3707933296?\nAnswer: 2, 19, 67, 182047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -2. Let l = -62 - -68. Calculate the highest common divisor of t and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.013 + -0.057. Round x to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = i - 3, -3*i - 13 = -278*h + 282*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4674 - -13894\/3. Let z = 42 + i. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(252) - (sqrt(252) + -2)) + sqrt(252))**2*-5 - (3*(sqrt(252) + 1) - sqrt(252))) + -3)*-2.\nAnswer: -2560 - 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.062 or 4?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000225 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + (sqrt(2178) - (sqrt(2178) + (sqrt(2178)*1 - sqrt(2178))) - sqrt(2178)))\/(sqrt(36)\/sqrt(24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25368 and 90776?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 833480 + 4610772. Let x = o - -314323. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 42. Let a be l(-3). Find s, given that 4*s**5 - 3530*s**2 - a*s**3 + 8*s**4 + 2*s**3 + 10*s + 2*s + 3522*s**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -23*z - 1. Let w be c(-1). Suppose -20 = -j - 4*j + 2*x, -3*x = 0. Let i be 16\/w*j\/16. Sort -3, i, -0.7 in ascending order.\nAnswer: -3, -0.7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 87\/15 + 231\/55 + -5. Suppose 7 = n - 14. Suppose -2*p = -3*p + 5*l - n, -4*p = 2*l - 26. Solve u*m = -3*s + 8*s, -5*m + p = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -4, 1405 = 5*a + 5*b. Let j = a + -403. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 2*a. Let f be w(5). Let i = f - -333. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17406515 divided by -2486645.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12347764 to the nearest integer?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 2*f + 1352 = 0, -5*d - f = -1683. Let w = d + -176. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15103459 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17731 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 792\/132*(-2)\/6*4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1188710*s. Let z(q) = 38*q**2. Calculate o(z(m)).\nAnswer: 45170980*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c + 8, -c + 35 = 3*q. Solve z - q = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -7*a + 3*a + 46, -a = 2*l - 16. Solve -3*x - a = -o, -4*o - 2*x + 20 - 42 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31068 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**2 - 3*t - 8. Let n(m) = -12*m**2 - 5*m - 15. Let q(c) = -6*n(c) + 10*z(c). Let i(k) = -3*k. Give q(i(v)).\nAnswer: 18*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:53 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(12\/(-15)))\/((-1)\/(-4)). Suppose 4*h = 5*z + 745, -3*h + 5*z - 24 = -589. Calculate the highest common divisor of h and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 2 - 4 + 110*c**2 - 40*c**3 - 120*c + 47.\nAnswer: 5*(c - 3)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 920 - -6447.21108799\nAnswer: 7367.21108799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6 = 2*l. Let n be (l - (3 - 4))\/(-2)*-5. Let f be 2\/n + 20000008\/20. What is f rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 + 156*m**3 - 1866*m**2 - 4212*m - 2187 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1746 + 1762. Let x = -2 + -3. Sort 4, x, q in descending order.\nAnswer: q, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, q: 2}. Give prob of picking 2 a.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 8*l**2 - 4*l. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 461.907388+-22\nAnswer: 439.907388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g - 3*g)*(-27 - 18 + 1)*(0 + 5 + 1).\nAnswer: 528*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 835*o - 828. List the prime factors of w(17).\nAnswer: 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2478 - -5315?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d**2*d**(-1)\/d**(-4)*(d**(7\/4)*d**(-2\/7))\/(d\/d**(-7)*d*d*d**(-6)*d) assuming d is positive.\nAnswer: d**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t*t\/(((t**3*t)\/t)\/t))\/(t**(3\/10))**(5\/12))**(-6) assuming t is positive.\nAnswer: t**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -z - 4*o, 4*z - o = 16 + 1. Suppose 0 = 3*f + 4*x, -5*f + 0*x = -5*x. Suppose 0 = 5*a - 4 - 1. Solve -r - z + a = f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 3*r = -4041. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 21. Let j be v(21). Suppose j = -11*u + 4800 + 8411. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -33. Factor 0 + 2\/5*t**3 - 2\/5*t**4 + m*t + 0*t**2.\nAnswer: -2*t**3*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111360 (base 8) in base 12?\nAnswer: 19928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1616305 - 0.114.\nAnswer: 1616304.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/18780 and 37\/21809214.\nAnswer: 218092140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203212131 + -1010?\nAnswer: 3203211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31146427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 608626 = -35*v + 31*v, -608674 = 5*c + 4*v. What is c rounded to the nearest 1000?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51210*c = 4*g - 51209*c + 10, -2*c - 52 = -24*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, -25\/6, -0.6, 0.8?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 2*p - 501. Let m(t) = 5*t + 51. Let h(o) = 17*o + 170. Let l(f) = 9*h(f) - 30*m(f). What is y(l(s))?\nAnswer: 18*s**2 - 6*s - 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/42 + i**6\/15 - 178*i. Factor x(j).\nAnswer: j**4*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 2, 6, -5 in descending order.\nAnswer: 45, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.5 (b) -2\/17 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:53 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -128. What is the second biggest value in q, 4, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164633 is divided by 32918?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79057950 divided by 6?\nAnswer: 13176325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**9\/126 - 2*u**5\/15 - u**2. Find the third derivative of s(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1368 - -32685. What are the prime factors of p?\nAnswer: 3, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 45 - 70 = 0, 5*r = 7*v + 11. Suppose -5*c + 2 = -3. Let t be (-4 - -2) + c*2. Sort t, -1, 7, v in descending order.\nAnswer: 7, v, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 3477948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 + 3*b - 1. Let g = -18 - -22. What is z(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6000) + sqrt(6000))*1 - (sqrt(6000) - 3*(sqrt(6000) - -2*sqrt(6000) - sqrt(6000))))\/(6*(-3*sqrt(972) + sqrt(972))*3).\nAnswer: -35*sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -55. Sort y, -3, -5.\nAnswer: y, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ahnvoaahndoahhh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 14*s**2 - 14*s + 37. List the prime factors of p(-15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d - 7. Determine y(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 93*y + 112. Let b(w) = -53*w - 57. Let o(q) = 7*b(q) + 4*i(q). Give o(-25).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 3328*p\/11.\nAnswer: -2*p*(p + 1664)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1 - 3*s - 2 + 2*s - 2*s - s**3 + 5*s**2. Let k be 0 + 2 + -2 + 4. Let t be i(k). Which is the second smallest value? (a) t (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + 0.4. Let l = -0.9 + -4.1. Sort m, 3, l in descending order.\nAnswer: m, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -3\/11 (c) -1 (d) 0.5 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1110111 - -66?\nAnswer: -1110034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 - 20*c - 13. Suppose 3*n = -0*n - 39. Let u be y(n). Let l = 127 + u. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 446017\/202 + -2208. Let j = 5459\/1010 - f. Calculate the common denominator of j and (-23)\/(-8) - 0 - 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 52. Suppose 0 = 2*c - 2*o - 26, 5*o = -4*c + 5*c - t. What is the remainder when 17 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-21)*(5 - 62\/12). Let h = 1 + -0.5. Which is the nearest to -0.1? (a) h (b) 2.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007056 rounded to four decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + ((sqrt(192) + 0)**2 - sqrt(192)) - (sqrt(5808) + (-1*sqrt(5808))**2 + 4)))*-1.\nAnswer: 52*sqrt(3) + 5629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {v: 1, w: 1, a: 1, s: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.89851529 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007918 rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68493 is divided by 3805.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qloooqoqllooolqqq. Give prob of sequence qlo.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 37 - -31) + 1 + 1 - -17\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d (base 16) in base 14?\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/7 of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 6. Let z be 3\/(((-4)\/(-9))\/4). Suppose -22*u = -z*u + 30. Let b(v) = -10*v - 7. Determine u*b(s) - 7*d(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 227476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 7. Let i(s) be the third derivative of 1\/15*s**5 - 1\/6*s**4 + 0 - 132*s**2 + 0*s + 0*s**3. Let m(h) = h**2 - h. Give a*i(z) + 10*m(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/7)\/(27\/(-189)). Put -6, 1, g, -2 in decreasing order.\nAnswer: 1, -2, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j + 3342. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*1\/(-12)*(15 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503043 is divided by 219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191438 (base 14) to base 11.\nAnswer: -556587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 9:23 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43ca2 (base 15) to base 16.\nAnswer: 349b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3334641 - -4?\nAnswer: -3334635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212267?\nAnswer: 11, 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76028064 to 4 dps.\nAnswer: 0.7603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32313 - -3?\nAnswer: -32310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -42*s**2 - 4. Let h(r) = -3*r. Give h(b(j)).\nAnswer: 126*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -0.5. Let d(w) be the third derivative of -w**6\/120 + w**5\/60 + w**4\/8 - w**3\/6 + 3*w**2. Let p be d(2). What is the nearest to m in -2\/3, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 16*y + 7. Let k = 510 + -493. What is a(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33166\/7107*1\/(-5)*-27*(-3)\/18.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**5 + f**3 + 1. Let s(b) = -5*b**5 + 7*b**3 - 10*b. Let h(d) = -2*l(d) + s(d). What is the second derivative of h(g) wrt g?\nAnswer: -140*g**3 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003269228333 to six dps.\nAnswer: 0.000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*j**3*s**3 - 15*j**3*s - j**2*s**3 + 2*j**2*s**2 + 7840*j**2*s - 2*j*s - 14714185*s**3 + 3*s - 13 wrt s?\nAnswer: 60*j**3 - 6*j**2 - 88285110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -361, -359, -357, -355, -353, -351?\n\"Answer: 2*q - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/68 - ((-2208)\/510)\/(-4).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 97*f - 30*f**2 + 37*f**2 + 69*f + 6 = 0.\nAnswer: -24, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**3*t**3 + 3*n**3*t - 308*n**2*t**3 - 20872*n*t**2 - 32*t**3 wrt t?\nAnswer: -12*n**3 - 1848*n**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00476107 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14)*219\/(-146). Which is the third smallest value? (a) -2 (b) -25 (c) -5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5654182, -5654181, -5654182, -5654185, -5654190, -5654197, -5654206?\nAnswer: -5654217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(85)*4*2)\/(sqrt(25)\/(3*sqrt(5))).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23 + 2)\/(4\/(-4)). Let k = -37 + o. Let y = 20 + k. Solve 2 = -2*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.3 (c) -938 (d) -12691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -0.16?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96646092 and 177184502.\nAnswer: 1063107012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 - -435. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = t + 13, -2*q = 3*t - 9 + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 14*s + 34. Give f(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -2 in decreasing order.\nAnswer: -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, -4, -3, -12, 0 in decreasing order.\nAnswer: 48, 1, 0, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7687042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 7, -4, -1, -188.\nAnswer: -188, -4, -2, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*s - 147*s + 2274*s.\nAnswer: 3260*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332450.\nAnswer: 2, 5, 11, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - u + 7 = 4*u, 0 = -2*s + 2*u + 2. Let y(p) = -5*p + s - 4 + 3*p. What are the prime factors of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 5}. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32728300 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1254)\/495)\/38*5)\/(8\/(-66))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/5, -0.085, 0.5, -2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.3 times 0.2?\nAnswer: 6.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137355 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*j - 12, -s + 23 = 4*j + 20. Suppose 5 = m, -s*d - 2*m - 836 = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -3*q - 73, -3*r + 98 = -4*q. Let m(l) = -l + 34. Let p be m(0). Let o = q + p. Solve -1 = -4*d + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (5 - 0) - -19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57014.53812 rounded to the nearest one hundred?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035074186?\nAnswer: 2, 37, 13987489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-7)*((-140336)\/(-224))\/179?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 20011238.\nAnswer: 20011238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - z. Let q(c) = -c**2 + c. Suppose -3 = -5*x + s - 3*s, -2*x = -s + 6. Give x*q(p) + f(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 56*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 379803.095 or 0?\nAnswer: 379803.095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) 3 (b) 54898 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.99 + -0.01. Let w = 2 + u. Let h = 0 + w. Which is the third smallest value? (a) -0.5 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let l = 0.1 + m. Let i = -0.1 - l. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 34*b - 171. Let g(c) = c. Let x be g(2). Suppose -y + 11 = -r, x*y - b*r - 21 + 0 = 0. What is the least common multiple of y and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -3.96. Let n = q - 1. What is the smallest value in -1\/7, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981 = -5*t - 389. Let h = t - -525. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from ktbzlgl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 91*z + 142. What is the tens digit of c(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from hzhzzzzzzszzszzszzzz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3248819 by 391.\nAnswer: 8309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 3, x: 6, i: 3, w: 4}. Give prob of sequence it.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**2 + 3*r + 13703. Let c(n) = -3*n + 1. Determine 4*a(d) - 10*c(d).\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)*g**(-18)*g*(g\/g**(-11))\/((g\/g**(-16\/3))\/g))**8 assuming g is positive.\nAnswer: g**(-728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 - (5 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1945.1237730806 from -0.1.\nAnswer: 1945.0237730806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383738?\nAnswer: 2, 3, 211, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 704*g + 17035. What is z(-24)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(46\/46) - 137*(-3)\/30?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2847 and 4.3.\nAnswer: 12242.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 207 = -252 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 3*j. Let r be 3\/((-4 - -1)\/3). Let x(n) be the first derivative of 0*n**3 - 2*n**2 - 4 + 1\/4*n**4 + 0*n. Calculate r*x(q) - 4*f(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 7*q - 13. Calculate j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78906770.\nAnswer: 2, 5, 113, 69829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1836 divided by 459\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 58310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 57*j + 712. Let a be z(38). Let h(n) be the third derivative of -n**5\/60 - 11*n**4\/24 - n**3\/3 - 3*n**2. Give h(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -455 + 459. Find the second derivative of -35*q**5 - 111*q - 43*q + 15*q - 38*q + 3*q**s wrt q.\nAnswer: -700*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 4*y + y - 80700. List the prime factors of y.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 490 and -165171.2031894?\nAnswer: 165661.2031894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {i: 6, o: 2, j: 3, t: 1, u: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 2*n**2 + 1 - 1 - 2*n. Let p(w) = -4*w**3 - 9*w**2 - 9*w. Suppose 52*x + 56 = 38*x. Give x*p(a) + 18*v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 104390 = -6*x. Let k = -10648 - x. Suppose k + 538 = 8*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-7 - (1 + -3)) + -3. Let s(w) = 34*w**2 - 7*w - 32. Let k be s(q). What is k rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Suppose 26 = -5*h + 1, 0 = 4*l + 4*h - 8. Let i = -987 - -989. Let z(k) = -21*k + l*k**i + 21*k. Give z(q(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -779*p + 57. Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11289045 or 11289128?\nAnswer: 11289128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -2, 0, 2, -11.\nAnswer: -11, -5, -2, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 10*j + 5. Let l be k(-10). What is the tens digit of 5\/(-30) - l\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*36\/8. Suppose -r + 32 = x*r. Let l(n) = -3*n + 1. Calculate the least common multiple of l(-3) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkeuuukeiiiikdfdk?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 1, x: 4}. What is prob of sequence xk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21789 + 20.98211. Sort 10, t, 2, 4 in increasing order.\nAnswer: 2, 4, 10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - m**3 - 17*m**3 + m**3 - 5 in the form l*m**3 + g + z*m + q*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-16)\/16*1\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216761 is divided by 15834.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 12, 2*n + 0*n - 66 = -5*j. Calculate the greatest common factor of 506 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (12 - -13) + -11 + (1 - -1) - 30?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 - 89. Let w = i - 20. What is the common denominator of -41\/22 and (-18)\/(-24) + 178\/w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 140. Let u = 32 - i. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25814000 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -r - 24, 2*r = -8. Suppose 3*w - 4*l + i = 0, 2*l = l + 5. Suppose 3*j + 3*o + 47 = w*j, j - 31 = 4*o. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -2)\/(7 + -5). Let d = 10 - 7. Let c = d - 3. What is the closest to x in c, -1\/9, 0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h - 4*h**2 + h**3 + 35*h + 4*h**2.\nAnswer: h**3 + 116*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 + 5*h**2 - 7. Let z = 55 - 48. Let p(o) be the second derivative of -1\/5*o**5 + 0*o**3 + 0 - 7\/12*o**4 + 5*o**2 - o. What is z*r(a) + 5*p(a)?\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*d**3 + 0 + 23*d**4 + 0 + 9*d**2 - 7*d**2 - d - 1 - 106*d**3 to n*d**3 + o*d + r*d**2 + q*d**4 + s and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = -1209 + 885 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 38190078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12702577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66201144.999748 + 66200559. Let o = -586 - f. What is o rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 + 32938*o - 89081676 = 0?\nAnswer: 3411, 13058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 508373870845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2610110 and -0.005.\nAnswer: 2610109.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/16)\/17 - 34\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 503565202212*x + 503565202216*x + 0.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7539 + 7548. Calculate the remainder when 101 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.04 (c) -9\/7 (d) -16\/7 (e) 1\/3 (f) 1 (g) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 101. Let z be ((-3)\/(v\/8))\/((-5)\/(-30)). Solve -x + 3 = -z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(272) + 1 + sqrt(272) - sqrt(272))**2)*-2.\nAnswer: -538 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152*-24*74\/3552.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 - 3*m**2 + 5*m. Let n be d(2). Let u = -3 + n. Let l = u - 26. What is the third biggest value in 0.4, -2\/7, l, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.65. Let z = -4.4 - -5. Let f = y + z. Which is the closest to 1? (a) 1 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 19*j**2 - j - 16. Let r be q(-19). Let o be (-7)\/(2*r\/(-12)). What is the third derivative of 19*z**4 + 6*z**2 - 6*z**4 + o*z**2 wrt z?\nAnswer: 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/13 - 42*n**4\/13 - 240*n**3\/13 + 4720*n**2\/13 - 7392*n\/13 - 34848\/13 = 0.\nAnswer: -11, -2, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/6 (b) -0.05 (c) -0.09 (d) 5\/4 (e) 0.934 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.41456 and -0.4.\nAnswer: -0.81456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 70606.79 kilograms?\nAnswer: 70.60679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/675713 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 40\/(-15))*(7 + 88\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 2 = 0. Calculate the least common multiple of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6312.5 and -1516.\nAnswer: 4796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 635*i**2 + 12360*i.\nAnswer: 5*i*(i - 103)*(i - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -914 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d + 3*z, 0*d - 2*z + 12 = 4*d. Let m(b) = b**3 + 8*b**2 + 6*b - 5. Let c = 0 + -7. Let f be m(c). Is f less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85711685 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q + 201. Let x(z) = 16*z + 134. Let j(u) = 5*a(u) - 8*x(u). Let n(m) = 2*m. Calculate j(n(h)).\nAnswer: -6*h - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**3 - 11*u**2 - u - 3. Let d be p(-2). Let n(t) be the first derivative of -4*t - 3*t**2 - 7 + 1\/3*t**d. Determine n(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*z = -265*z - 42. Solve -2*m = -3*i + 1, -3 = -3*m + i + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364\/195 + (-1)\/(-2)*(-4 - 0).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 5, 1, -14, -524.\nAnswer: -524, -64, -14, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let r be -1*(-2 + -2 + g). Factor q**3 - 3*q**3 - r*q**5 + q + 3*q**5.\nAnswer: q*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -113 and 0.4614.\nAnswer: -112.5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v**3 - 23*v**3 - 54*v**4 - 2*v - v**4 + 42*v**3 to the form q + y*v**4 + d*v**3 + g*v**2 + b*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(704) + -2 + -1 - -1*sqrt(704)*-2) + -5)*-4 + -1.\nAnswer: -192*sqrt(11) - 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 38592*h + 40. Let z be b(5). What is z rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**4 - 2*c**4 - 657*c + 326 + 10*c**3 + 657*c wrt c.\nAnswer: 4*c**3 + 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 8. Let u be q(-4). Let l = -2 + u. What is the tens digit of (-22)\/11*(-11)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 40 = -2*s. Let x be 54\/(-13) + s\/(-65). What are the prime factors of 26 + (0\/(-3))\/x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*o**3 + l*o*w + 246*l*o - 48*l*w - o**3*w with respect to w.\nAnswer: l*o - 48*l - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 - 246. Let c be -3*25\/j + 7\/21. Solve 4*o - 2*m - 10 = 0, 2*o + 5*m + 15 = c*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 38*o + 18. Let k(a) = -7*a**2 - 77*a + 27. Give -3*k(z) + 5*s(z).\nAnswer: -4*z**2 + 41*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + -1*sqrt(68) + -1 + sqrt(68)*1 + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 - -216. Find the common denominator of d and -41\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193 is divided by 359?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(2\/41)*((o*o*o**(1\/5)*o)\/o)\/((o**(-4)\/o)\/o*o) assuming o is positive.\nAnswer: o**(1456\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086529684 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -64. Solve n = -4*n + l*o - 5, -2*n = 3*o + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + r + 2, 4*q = 2*q - 3*r + 19. Put 4, q, 3 in descending order.\nAnswer: q, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 2. Let c be n(3). Suppose m - 5 = -c*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*p*v - 2939550*p + 312309*v**3 wrt v?\nAnswer: -9*p + 936927*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1075437, 2150900, 3226391, 4301910?\n\"Answer: 14*y**2 + 1075421*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -516 - -519. Suppose 2*l - 6 = 0, 5*l = w*p - 0*l - 2970. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-10)\/180*-261.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3560202 (base 7) to base 12\nAnswer: 199340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2680 - 2706) + (32 - 2) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)\/((-4 + 1)\/(-45)). Solve 0 = 3*c + f - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -253\/5. Let z = -4 + -6. Let n be 16\/z - 18\/(-30). Is n less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244045.2 millimeters to centimeters.\nAnswer: 24404.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7138*z**2 - 7143*z**2 - 1883105719 + 1883105719.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.99961 + 30. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187 - 5 = 298*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - d = 12*f + 18, -247*f = -249*f - 4*d - 82 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3477\/4 - -865. Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -460 + 59*u - 31*u - 27*u + 304*u**4 + 248*u**4 wrt u.\nAnswer: 6624*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 75, 77, 79, 81, 83?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 132 = -5*s. Let a = 14 + 53. Let o = 100 - a. What is the greatest common divisor of s and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -22084?\nAnswer: -22082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/6 - 4944\/(-9).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304 divided by -2\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(110)*2 + sqrt(110) + sqrt(110) + 2*-2*sqrt(110))*-4)\/(-4*(sqrt(360) - (sqrt(360)*2 + sqrt(360)) - sqrt(360) - (-1*sqrt(110))\/sqrt(11))).\nAnswer: -10*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139268 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 40 = -9*n. Solve 3*s - 9 = -3*b, 0 = -n*s + b + 3*b + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.2 - 18. Let b = 3.3 + o. Let f = b + -6. What is the smallest value in 3, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*(-312)\/273*(-513)\/36?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36972\/1476 - 2\/41. Calculate the common denominator of 12\/(-50)*(-11)\/2 and ((-418)\/152)\/(a\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17831)\/(-143) - (-72)\/234) + (-12 - -2).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*k - k**2 - 303*k - 233*k - 2 to s*k**2 + u + z*k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.01273.\nAnswer: -0.002546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114 + 1114 + 1842662*q.\nAnswer: 1842662*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*y + 15, 0*d + 2*d = 3*y + 9. Suppose 0 = v + 4*v - 35. Calculate the remainder when d\/(-6) + (-25)\/(-2) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((67\/((-80132)\/(-184)))\/(276\/26))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-13) + (-54)\/(-13). Suppose -2*p + d = 6. Suppose 2*j + 0*j = 8. Is p at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114, 118, 124, 132, 142, 154, 168?\n\"Answer: f**2 + f + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999744102?\nAnswer: 2, 3, 7, 7934477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 6*m + 4. What are the prime factors of g(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10473, -2, -1 in descending order.\nAnswer: -1, -2, -10473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-1 - 3\/(-2)). Suppose -13*q = -11*q - 544. What are the prime factors of (-4)\/(-10) + q\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 - 3*v**2 + v**2 + 86 to the form s*v + y*v**2 + i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z**3 + 574*z**2 + 3*z + 6. Is 205 a factor of u(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 + 6*i - 4*i - 4 + 14*i. Is w(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/6 - 89*d**4\/72 - d**3\/6 - 609*d**2 + d. Suppose k(b) = 0. What is b?\nAnswer: -1\/30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - w - 2*w + 4*w - 5. Let p(z) = -z**2 + 15*z - 23. Let x be p(13). Suppose 5*y = -0*y - 5*a + 40, -x*y + 16 = a. Determine s(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 134*(9\/14 - 1\/7). Suppose 0 = -15*f + k + 23. Suppose -12 + 84 = f*t. What is the greatest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -36. Let k = -41 - x. Solve -k*w = 2*y + 17, 0*w - 4*y = -w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*i + 2*i - 8, 3*k + 6 = 3*i. Solve 2*u - 3*s = 15, i = -4*u + s - 6*s - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -493, -509, -529?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 22*v + 2 = 0. Let q = -5 - -4.8. Suppose g + 12 = -2*g. Which is the closest to v? (a) q (b) -2\/19 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 14 = 3*q + 7, -q + 3 = -4*k. Let y = -0.212 - -0.012. Let n = -0.3 + y. Which is the closest to k? (a) 3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 46 - 10. Let d = a - 23. Suppose -d*g = -1048 - 247. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5503.5 - 438073.\nAnswer: -443576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d + 45, d = -d - 10. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7336652 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/7 - 850*j**2\/7 + 9644*j\/7 + 22672\/7 = 0.\nAnswer: -436, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.027, 0, -1\/5, 4, 5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/8? (a) -8\/69 (b) -1\/4 (c) -1 (d) 0.1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*w - 14, -2*d + w + 0*w = 1. Suppose -11*s = -6*s - 20. Suppose -2*b + 3*v = -2*v - 16, s = -2*v. Solve d*a + 10 = -b*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/338 and -25\/23163504?\nAnswer: 301125552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125963a4 + -4?\nAnswer: 125963a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 342. Let d(f) = -f**2 + 26*f - 93. Let y be d(21). Calculate the greatest common factor of h and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, -77, 168, 915, 2398, 4851, 8508, 13603?\n\"Answer: 39*m**3 - 100*m**2 + 4*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*q + 1 - 2, -23 = -5*t + 2*q. Suppose t*o + 2*o = 25. Which is the smallest value? (a) -2\/5 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, w: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 17 = 2*w - 6*w, 3*t = 3*w - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0185775 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 84.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.2. Let b = 105.06 - 105. What is the second smallest value in -1, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-602)\/(-140))\/43*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9079 - -1.9079. Which is the closest to -6? (a) -1\/9 (b) 0.06 (c) 2\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*sqrt(320)*-2.\nAnswer: -320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90470 divided by 18094?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7950)\/(-100)*1\/1*3*42\/189\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496406942 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.7, 7\/2, 1\/44811?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -25. Suppose u = -4*y + s - 477, 3*y = 5*y - 3*s + 231. What is the remainder when 89 is divided by 1\/((4\/y)\/(-1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 71*x + 16. Let q(t) = 76*t + 18. Let h(g) = -11*i(g) + 10*q(g). Give h(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.015.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 7*g**3\/6 + 7*g**2 + 16168*g. Let z(i) = i**2 - i - 1. Let b(n) = -n - 1. Let d(c) = -b(c) + z(c). Determine o(d(v)).\nAnswer: 7*v**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a factor of 506111382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057415 rounded to three decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 207220, 207164, 207108, 207052?\n\"Answer: -56*d + 207276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4523576 to the power of 1\/2, to the nearest integer?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 - 3*o - 3. Let g be c(5). Let n = 32 - 29. Suppose 5*h = -n*z + 10, -h - 3*h = -4*z - 8. Solve -i = 4*y - g, 2*i = -z*i - y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854, 873, 904, 947?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278805037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - v)*(0 + 1 - 2) + (v - 3*v + 0*v)*(0 - 3 + 1))*(-4 - 2*v + 4) - v + v - 3*v**2 as k*v + w + o*v**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13593 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63214, -63228, -63242, -63256, -63270?\nAnswer: -63284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43218 and 1008.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 28*i**2 - 24*i + 124. Give c(-29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)\/d*d**0*(d**(-1\/4))**(-32))**28 assuming d is positive.\nAnswer: d**(574\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624672 + -271?\nAnswer: 624401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Suppose 0*i + 10 = 2*u - 4*i, -2*i + 10 = 2*u. Let r be (a\/u)\/((-494)\/95). What is the closest to 1 in -3\/4, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*z**2 - 1233*z\/2 - 1\/2 = 0. What is z?\nAnswer: -1, -1\/1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286)\/1001 + 43\/126.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 6*m)*(4*m**4 + 0*m**4 - 2*m**4) + (-2*m**4 + m**4 + 2*m**4)*(m - 4*m + m) + 4*m**5 + 6 - 6.\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -81. Let h = 17 - 26. Let f = h - m. What is the third smallest value in -5, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7718972 is divided by 1129.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(0 + sqrt(1100))**2 + (sqrt(11) - (1 + sqrt(44)\/sqrt(4)) - sqrt(220)\/sqrt(5))).\nAnswer: -39606 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*t - 75*t - 52300. Suppose -9*u = -14*u + t. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 4*z - 2*z + 10 - 3*z. Let b(x) = 2*x**3 + 12*x**2 - 30. Let n be b(-6). Let m be (n + 20)*(-8)\/10. What is i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 1\/5, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 899.7216us?\nAnswer: 899721.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 22 + 2. Suppose j*m = 4*v, -8*m + 3*m + 2*v = -10. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2235934 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.06. Let w = 222 - -50. Let a = 272.4 - w. What is the third biggest value in a, -3\/5, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2*p + 2. Let s(y) = y**2 + 8*y - 5. What is the remainder when v(-4) is divided by s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**8\/896 + u**7\/560 - 6*u**2 + 8. Let k(l) be the second derivative of i(l). Determine x so that k(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - u + 1 = 0, 0*a + 2*u = 3*a - 3. Let t = a + -6. What is the units digit of (-231)\/(-49) - 2\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -29 - 7. Calculate the common denominator of ((-208)\/d)\/4 + 0 and -2\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 + 18*w**2 - 98 + 19*w**2 to the form v*w + k + q*w**2 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f = 64*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4\/(-28)*3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286 and 242.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.902 + -0.098. Let h = p + 36. What is the closest to -5 in 0.4, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.108? (a) -3\/4 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 30 - 42. Solve 0 = -5*l + 2*g + 2 + 4, y*g - 2 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 + 0.55. Which is the third biggest value? (a) m (b) 0.4 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 394.623139 and 1089.72.\nAnswer: 1484.343139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -342 or 1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -73. Let v(o) = -o**2 - 3*o + 50. Let c be v(8). Let y = r - c. What is the remainder when y is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:56 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1.2 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 2*r + 2*r - 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/40 and 127\/67430.\nAnswer: 269720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/6 - 5\/3. Let z = 5626518071\/900 + -6251686. Let u = -1\/225 - z. What is the smallest value in k, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172, -590, -1276, -2236, -3476, -5002, -6820?\n\"Answer: -l**3 - 128*l**2 - 27*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 2*c**2 + c + 3. What is r(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x - 276. What is t(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 198857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -21*y. Let b(w) = 45*w + 11. Let z(l) = -9*l - 2. Let p(m) = 2*b(m) + 11*z(m). Determine v(p(g)).\nAnswer: 189*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9024552 and 306.\nAnswer: 9024552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and -2*(-5)\/(50\/55)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - -0.1. Let r = p - 0.36. Let z = r + 0.4. Which is the biggest value? (a) 0.2 (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507488 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(1\/14)*o)\/o*o*o)*o*o**(1\/36))\/(((o**(-17)\/o)\/o)\/(o*o**(-7\/6)*o*o*o*o)) assuming o is positive.\nAnswer: o**(5743\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8) - 6\/(-24). Let k be (i\/(-12))\/((-5)\/20). Factor 0*q + k*q**2 + 0.\nAnswer: q**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 0.11\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + ((sqrt(272) + sqrt(17) - sqrt(17)) + 2)**2 - -6*sqrt(17)*-1.\nAnswer: 11*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/82 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.941332 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13022 + -13117.892. Let s = 0.708 - v. Let z = 97 - s. Which is the closest to -1? (a) 4 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.376 to one decimal place.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -438\/5, 2, -152\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + f = 32, 685*f = 10*m + 678*f + 258 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*t**3*y + 3*t*y - t + 7 wrt t.\nAnswer: -762*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, u: 1, o: 2, h: 1, p: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) 7\/2 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/5, 2.31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 6944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-10)\/(-15). Let c(q) = -4*q**2 + 4*q - 8. Let r(n) = n**2 - n + 1. Suppose -5*a = -0*a - 30. Calculate a*r(k) + d*c(k).\nAnswer: 2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1908 + 7.8808. Let d = 7.7 - z. Let u be (3\/(-10))\/((-6)\/(-8)). Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10438 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 22852963.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(200) + sqrt(200)) - sqrt(200).\nAnswer: -110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-8 + (-42)\/(-6)). Which is the biggest value? (a) -1 (b) u (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 120*l - 471. Let t be b(4). Calculate the greatest common divisor of 1083 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(54) - (sqrt(54) + sqrt(54) + sqrt(864))))\/sqrt(3).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 4*k + 6. Let a be s(-5). Let i be a*(-1 + (-2)\/(-2)). Is i >= 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 8*u - 9. Let s be j(-6). Let t = -32823 - -32834. Solve -s*m = -t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/7))**33*(g**(-4\/3))**32 assuming g is positive.\nAnswer: g**(-500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 4 - 3 - 2 + 2225*h as u + k*h and give k.\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z\/z**(-2\/7)*z)\/z)))**(-9)*z*z**(2\/21)*z*z**(4\/3))**(-2))**41 assuming z is positive.\nAnswer: z**(4674\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1 (c) -4\/3 (d) -175\/9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23931 is divided by 3874.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:42 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 152.3855.\nAnswer: -76.19275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 - 60*p**2 + 4*p + 60 = 0.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/11? (a) 81\/2 (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.4 (c) -4 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 124 - 197)*(-3 + b + 3).\nAnswer: -208*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 9 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -g, 0*g - 4*h = 5*g - 22. Let r be (-13)\/(-3) + (-4)\/(-6). What is the second derivative of -z - r*z + g*z**4 + z + z**4 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -5, 4\/5, -7\/4, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n + 157. Let x(l) = 869*l - 9735. Let f(z) = 374*t(z) + 6*x(z). Is f(-31) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-10)\/6) + 6. Suppose 0 = -m*a - 5*s, -3*s = -0*a + 2*a - 1. Solve w - 4 = a*w, -3*n - 5*w = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 176*t - 46*t - 3 - 2 + 5 - 129*t. Let y(f) be the second derivative of 2*f**4\/3 - f**2\/2 - 2*f. What is j(y(v))?\nAnswer: 8*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 878*y - 2624. What is the remainder when 4604 is divided by n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202\/25 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24509?\nAnswer: 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 9*t**2 + 3*t - 17. Is h(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-1 + 1 + 1)*(-2 - 1 + 1) + 5 - 2 - 2 + 0 + 2 - 4 + 1 - 4 + 1)*(-93 - 2*o - 163 + 1095).\nAnswer: 14*o - 5873","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/(-66)*16\/6*234\/60.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let c(u) = -360*u + 28. Calculate w(c(d)).\nAnswer: 360*d - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10*3*-20. Let f = n + 49\/2. Determine g, given that 0 + g + f*g**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 0.02. Let u = q + 0.02. Let l(p) = p. Let f be l(2). Which is the closest to u? (a) f (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1951 (base 10) to base 3\nAnswer: -2200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84120 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 minus 0.03?\nAnswer: -96.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 435 - 635. Let x = b + 200.081. Let t = 7.319 + x. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261226, -522452, -783680, -1044910?\nAnswer: -1306142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7555631 from 1.41.\nAnswer: -7555629.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 15*w - 15*w + (-1 + 1 - 2*w**2)*(-1 - 3 + 3) + 2*w**2 + w - w - w**2 - 4*w + 4*w - 69 + 69 + 9*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9) - (-28)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/804457 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298 a factor of 75024709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from eueezueqheezezezeee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l - 1. Let b(a) = 8*a**3 + a**2 - 3*a + 3. Determine b(h) + 3*n(h).\nAnswer: 5*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 3. Let y be a(6). Suppose 17 = -m - 5*t, 5*m + 2*t + 1 - 8 = 0. Calculate the highest common factor of m and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12777\/39350?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(((sqrt(3) - sqrt(27)) + sqrt(3))*-1)*3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -26 + 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from vzzzzzzzzv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 860959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9852201*k**2 - 175*k**3 - 9852201*k**2.\nAnswer: -175*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:36 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awjwaxxi. What is prob of picking 1 w and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 - (-6 - (-252)\/45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*y - 66*y - 64*y + 76 = 5*m, 2*m = 5*y + 49 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a factor of 488101600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let b be u(4). Let g(h) = -3*h - 7. Let q be g(b). What is the second derivative of 44*j**5 + 2*j - 43*j**q + j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bdbbbbdbbbb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-2 + sqrt(30))\/sqrt(6).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 + m**2\/2 - 2*m - 4691. Suppose -w + 12 = 3*q, -2*q - 1 + 26 = -5*w. Let a = -5 + q. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x = 107 - 1803 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11528555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 4:35 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100000 - -100001?\nAnswer: 1010101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 1914*c + 2632374.\nAnswer: -(c - 1074)*(c + 4902)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/3 - c**3 - 5*c**2\/2 - 3*c. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3700720 is divided by 34586.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3. Let y = -132 - -132. Give h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 6, p: 1, q: 1, r: 2}. What is prob of picking 2 v, 1 r, and 1 u?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 756\/28 - 19 - (-12)\/(-2). Determine u so that 2\/7*u - 2\/7*u**p + 2\/7 - 2\/7*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147731095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958\/92049 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*v - 742*v - 18139 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -311046*5*(-20 + (-700)\/(-30)). What is l rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75401388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 + 3204513*a**3 + 1140960443166*a**2 + 135398534873371980*a - 3656592264820135176 = 0 for a.\nAnswer: -356066, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 6.7, -3394\/67, 4?\nAnswer: -3394\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 + -78.74. Let x = -56 - u. Let o = x - 17.7. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -45. Suppose -g - 3 = -5*s. Does s = -1\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -105064*n + 79658*n - 85818*n + 13 - 65447*n. Let h be f(3). Round h to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3452 + b - 6*b + 3471 - 3*b.\nAnswer: -8*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4)*c*c*c*c**(-2))\/((c**(-2\/5)\/c)\/(c*c**(-6)*c*c)) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2156 and -0.7.\nAnswer: -1509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*397.64\nAnswer: -198.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 12*a**2 + 12*a + 3. Let c be y(-13). Let q = c - 12. Suppose 0 = -m + 4*m + h - 9, -h - 1 = -2*m. What is the nearest to -0.1 in q, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.7 + 12. What is the biggest value in q, 5, -7, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.66433 - 0.02567. Let a = 8.49 + w. Round a to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 971.74 * -0.07\nAnswer: -68.0218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1932.78 - -1949. Let k = 16.3 - b. Sort 2, k, -2, 0.05 in increasing order.\nAnswer: -2, 0.05, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/((-19)\/(-38)). Let i be (5\/4)\/((-19)\/4 - t). Put -4, 0, i, -5 in ascending order.\nAnswer: -5, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1190\/1105)\/(2\/13). Let q(p) = p**3 - 3*p**2 - 4*p + 3. Let z be q(4). Solve s*l - z*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m*(m\/m**(-1\/5))\/m*m**3*m*m**2\/m)**(-42) assuming m is positive.\nAnswer: m**(-882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 3 (c) 5 (d) -2 (e) 198\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 735 = 1065. Suppose -895 = -t - q. Does 56 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q)*(-q + 4 - 4 + (-88 - 81 + 116)*(0*q + 3*q - 2*q)).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/(-33) + (-115)\/46)*2?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299794694 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(24)*-6)\/((-3*sqrt(8064) - sqrt(8064))\/sqrt(7)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211 and 28795170?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 25955 = 25656 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 3. Let f be u(6). Suppose t - f = 4. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 990, 4\/5, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(250))\/(sqrt(180)*-3).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131100.\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 4, 1, 9, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbbb when four letters picked without replacement from {q: 2, w: 6, b: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186673, -746816, -1680579, -2988118, -4669589, -6725148, -9154951, -11959154?\nAnswer: -15137913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*a + 230655 - 8517, -5*a + 370230 = -5*q. What are the prime factors of a?\nAnswer: 2, 3, 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 322, 2, -7, 4 in decreasing order.\nAnswer: 322, 4, 2, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**3 + 11*h**2 + 11*h - 177. Let m(r) = 5*r**3 - 5*r**2 - 5*r + 89. Let f(t) = 13*m(t) + 6*x(t). Is f(0) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/62)\/((-395)\/(-12245))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452521.76 rounded to the nearest 100?\nAnswer: 1452500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -42659.64?\nAnswer: 4265.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 - 1725*k**2 + 153000*k - 722500 = 0.\nAnswer: 5, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 2*x**4 + 7*x**4 + (-2*x + 1 - 1)*(x - x**3 - x))*(3743 - 3743 - 1346*x).\nAnswer: -6730*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*h**2 + 3*h**2 - 2*h**2)*(3038 - 6064 + 3026 - 11391*h).\nAnswer: 11391*h**3 - 34173*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s**3 + 11*s**2 + 7*s - 39. Let w(y) = -9*y**3 - 6*y**2 - 3*y + 17. Give 3*t(b) + 7*w(b).\nAnswer: -12*b**3 - 9*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*f - 1063*f + 172040 = 52*f + 930*f for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f = -44*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 18775 - 18567 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) - (sqrt(528) - 1*sqrt(528)))\/sqrt(12))\/((sqrt(99)*1 - sqrt(99)) + sqrt(99)))\/((sqrt(36)\/sqrt(3)*5 + sqrt(12))\/(-1*sqrt(384))).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19552 and 7025278?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 17*u**2 - 13*u - 44. Let s be x(16). Suppose -s*j - 3*p + 6*p = -1335, 3 = -3*p. List the prime factors of j.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 519 - 514. Solve k - 1 = 0, 0 = c*h - k - 24 + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1098.607 to the nearest integer.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.35 + 34. Let u = n + 0.35. What is the nearest to -1\/33 in u, -2\/11, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.435686 seconds to days.\nAnswer: 0.000155505625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45446 and 10794.\nAnswer: 245272062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 6 + (6\/1 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v. Let j be (-2)\/((-4)\/14) - 3. Suppose -j*r - 5*f - 1 = 3, -4*r - 3*f = 4. What are the prime factors of l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1938.5 + 1939. Let s be (-4)\/6 + (-5)\/(-3). What is the closest to s in -0.3, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(1\/3))))**(-13\/3))**(-23) assuming q is positive.\nAnswer: q**(1196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163368 and 12024?\nAnswer: 27282456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 5*i + 5. Let l(b) = -b**2 - 2*b + 2. Let v(a) = -15*l(a) + 6*s(a). Let w(o) = 3*o. What is w(v(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.4569.\nAnswer: -1.8276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 7 + (-1 - (9 - 9)) - -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5974693 is divided by 5974685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 18*h = 4*h + 640. Solve 10*u = h*u - 88 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -5\/2*d**2 + 1\/3*d**3 + 2 + 2*d. Calculate the remainder when j(7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -42.28. Let i = -0.38 + x. What is the smallest value in i, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 310, 627, 954, 1291?\n\"Answer: 5*d**2 + 302*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/5005700 and 79\/6.\nAnswer: 15017100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65116834 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14445 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6696)\/90)\/62*10\/(-39)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 + b + 1. Let a be u(-1). Let v(g) = -g + 15. Let z be v(a). Suppose 3*f - z*f = -9. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(sqrt(143) - (sqrt(143)*3 + sqrt(143))))\/(sqrt(99)\/(sqrt(36)\/sqrt(4))).\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18375318?\nAnswer: 2, 3, 13, 19, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4427700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 232957 = 5*n, 0*n + 3*c - 232933 = -5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504841216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*q + 245*q - 327*q + 110*q + 307*q.\nAnswer: 912*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3683*v**3 - 3683*v**3 - 59*v**4)*(0 + 8 - 6) to the form t + s*v**2 + f*v + g*v**4 + n*v**3 and give g.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 + 2*x - 3. Let m be j(4). Let k = 51 + m. What is the least common multiple of k and 22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 119 + -16 - 114?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 258155 divided by -258155\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f\/f**(-7)*f))\/f*f)\/f**(2\/11) assuming f is positive.\nAnswer: f**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124779\/14 + 8909. Find the common denominator of f and -23\/686.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -3)\/(-6 - 5). Which is the smallest value? (a) 0.1 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*d = -4*o - 6, o - 5*d - 22 = 0. Factor -4*t**2 + 19*t**2 - t**4 - o*t**2 + 8*t**3 - 6*t + t**5 - 15*t**3.\nAnswer: t*(t - 2)*(t - 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 27) + (0 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 1 - 1)*(4*x**2 - 3*x**2 - 2*x**2) + 5*x**4 - 2*x**4 - 4*x**4 + 2*x**4 + 86*x**3 - 85*x**3 - 4*x**4 - 1695*x**3 - 2*x + 20 - 8*x**4 + 1695*x**3.\nAnswer: -12*x**4 + x**3 - 2*x + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = w + 3, -5*w + 3*y + 12 + 13 = 0. Suppose w*x = 4*m + 12, -13 = -4*x + 3*m - 4. Solve -3*u = -2*j - 5 - 6, x = -4*j - 5*u + 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*m**5*t + 685*m**3*t**3 + 1638*m*t**3 - 2*t wrt m?\nAnswer: 1280*m**3*t + 4110*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/(-8) + -568*5205\/(-480)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344912395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1002786 divided by -1723\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 5. Let p(j) = -2*j**2 + 7*j - 10. Let h be p(3). Let l(g) = g + 7. What is h*v(k) + 5*l(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 479 - 7667\/16. Is h bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79844 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5053514.\nAnswer: 2, 23, 109859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1906542565, -1906542567, -1906542569, -1906542571, -1906542573, -1906542575?\n\"Answer: -2*c - 1906542563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w - h - 17, 25 = 5*w - h. Solve l + 11 = -2*n, n - 2*l = w*n + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.3, -128\/119, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(((-945)\/144)\/(-5))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 66*g - 41*g - 41 = 56, -5*a + 2*a + 11 = 4*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 10*y + 11. Let o be w(9). Let b(s) = -3 + 3 - o - 3*s. Let i(t) = -t - 4 - 7*t - 2. Give -11*b(m) + 4*i(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 39 = -0*t. Let a(d) = 5 - 4*d + d**2 + t*d + 4. What is the units digit of a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-693))\/((-6)\/22). Sort 0.2, o, 0.4, -0.304 in ascending order.\nAnswer: -0.304, 0.2, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 128 = -26. Let t(m) = -2*m**3 + m**2 - 5*m - 4. Let s(i) = 6*i**3 - 3*i**2 + 14*i + 11. Give b*t(a) - 4*s(a).\nAnswer: -2*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -13*f**2\/2 - 34*f - 22. Let y be h(-3). Solve 10 = 5*r + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101101111011110101010 + -111?\nAnswer: 1101101101111011110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 292*q**5 + 83690 - 83690 + (-2*q**3 + q**3 + 0*q**3)*(q**2 - q**2 + q**2).\nAnswer: 291*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnplpbpanlbblbnpni. Give prob of picking 2 p.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57442498 to two decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:12 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2*4)\/2. Suppose -s - 4 = a + a, -n*s = -a - 9. Suppose p + p = 5*h - 28, s*p - 4 = -3*h. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578425790 to the nearest integer?\nAnswer: 24050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.9 + 11. Let i = -2.1 + d. Which is greater: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*6*(-4)\/6. Suppose h*d - 47 = 3*d. What is the remainder when d is divided by 40*(0 + (-4)\/(-10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 50) + (0 - (34 - 28))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (0 + 0 + 6)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451695112?\nAnswer: 2, 11, 37, 138727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 + 1744\/7. Is 0 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 18*l**3 + 2*l + 1. Give w(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.430113 - -18696365.\nAnswer: 18696366.430113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/54)\/(4\/(-244)) and -61\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(16)\/sqrt(8) + -2).\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001473309 to 6 dps.\nAnswer: -0.001473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36618597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169.5 + -153. Let o = f - 16.4. Sort o, 1, -1\/11, 1\/6 in increasing order.\nAnswer: -1\/11, o, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20207424 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*y - y. Differentiate -2*q**y + 31 - 25 + 4*q**4 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08234 to three dps.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 2*w**2 + 26*w - 44. Determine p(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -32. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (0 - -1))*2. Suppose -k + 4*k = 9. Suppose -2*s - 2*s - 8 = -4*i, -k*i = 4*s - 20. Calculate the highest common factor of i and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343066100 to the power of 1\/2, to the nearest integer?\nAnswer: 18522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**2 + 0*d**2 + (19*d**3 - d**3 - 5*d**3)*(153*d - 67*d - 2 - 74*d).\nAnswer: 158*d**4 - 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-6\/23))**(1\/20)*(r*((r*r*r**(-1))\/r*r)\/r)\/r**(-5)*(r*r*r**(2\/5)*r*r)\/(r*r**7) assuming r is positive.\nAnswer: r**(111\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 900*g**2 - 26915*g + 27810.\nAnswer: 5*(g - 206)*(g - 1)*(g + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/230398 and 163\/294.\nAnswer: 691194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -57. Suppose a*o + 135 = 12*o. Let i(m) = 9*m**3 + 2*m**2 - 2*m + 1. Calculate the remainder when o is divided by i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*j - 132*j + 54 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffzy when four letters picked without replacement from {f: 10, z: 6, y: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2561010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 4*s + 9*s - 3*s)*(-2*s - 6*s - 16*s).\nAnswer: -48*s**2 + 1224*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-8) - (-5)\/40*10. Suppose -w = -y*h + w + 48, -h = w - 12. What is the lowest common multiple of 52 and h?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - w. What is the derivative of -4 - w + 8*l**2 + 1 wrt l?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1369 - 1943288902.\nAnswer: -1943287533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -806, 0, 14 in decreasing order.\nAnswer: 14, 0, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 5\/42*r**7 + 0*r**3 - 6*r + 2\/3*r**4 + 0*r**5 + 0 + 0*r**6 + 0*r**2. Find the third derivative of c(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5 + 80*i**4 - 383*i**3 + 604*i**2 - 300*i = 0?\nAnswer: 0, 1, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12) + (-4)\/3. Let q be (4 + u - 4) + 3. What is the second derivative of 4*m + 3*m**q - m**2 + m**2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let i(r) = -4055*r. Determine y(i(t)).\nAnswer: 8110*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -202, -243, -288, -337, -390, -447?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/3 + 2*i**3 + i**2\/2 - 4*i. Let p be q(3). Which is smaller: p or -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14 - -6) + 5)*26\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 0*d**3 - 2*d**3 + (167 + 2*d**2 - 4*d - 83 - 81)*(-5*d - 2*d + d).\nAnswer: -10*d**3 + 24*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11107\/4 + 2776. What is the third biggest value in 28, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 39\/2, -2\/9, -7, 4, -2, 0.1 in decreasing order.\nAnswer: 39\/2, 5, 4, 0.1, -2\/9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 68. Suppose 6*b - 7*b + o = 0. Factor 48*g - 8*g - 7*g**2 - b + 2*g**2.\nAnswer: -5*(g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/25 or 0?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 + 707. Let k(n) = d*n - 4*n - 4*n. Let p(t) = t**2 - t. Let g(j) = 6*j**2 - 5*j. Let h(a) = -g(a) + 5*p(a). Give h(k(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 83?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:41 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.083 + 1.083. Let o = -2109\/1886 + 26\/23. Let s = o - -121\/164. Which is the fourth smallest value? (a) i (b) -7 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 111 = 0. Which is smaller: q or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100101211022 (base 3) to base 7.\nAnswer: -13415153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54000 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(60))*6)\/((sqrt(60) - 2*sqrt(60))\/sqrt(12)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 3*m**2 - 3*m**2 + 2*m**4 + 0*m**4 + 0*m**4 + (2*m**3 + 2*m - 2*m)*(514*m + 40*m - 6*m) to w*m + u*m**4 + r*m**2 + b*m**3 + i and give u.\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36017597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z - 4. Let c be b(-6). What is the greatest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1110110110?\nAnswer: -1110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1381 = -41. Let f = m - -269. Let u(q) = -9*q - 1. What is u(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 - ((-82 - -144) + 7)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4 + 8*w**2 - 78*w**3 + 4*w + 79*w**3 - 3*w**2. Calculate i(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from pffp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81 + 30811*x**3 + 26*x**4 - 30811*x**3 - 3*x**2 with respect to x.\nAnswer: 104*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184476.9 years to months.\nAnswer: 2213722.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 2, o: 2, v: 1, s: 2, n: 1}. Give prob of sequence sr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (0 + -15 - -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 19\/7 (d) -0.3 (e) -2 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308882 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30372194 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t + 1. Let a be p(3). Suppose -y + 8 = y + 5*u, -y + 5*u + 4 = 0. Suppose y*q = -q + a. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-6) - -11) + (-3 - (-28)\/40).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-21))\/(-26)*-14.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 28 = -22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001 - -10011001?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 + 137*s - 15. Suppose 7*c + 5*c - 1380 = 0. What is the lowest common multiple of h(-20) and c?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**0)\/q)\/((q*q*q*q*q**6)\/q))\/(q**(-2\/5))**0)**(2\/15) assuming q is positive.\nAnswer: q**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 a factor of 219644174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32084\/12439 + -14\/1777. Solve 0 + x*m**2 - 12\/7*m - 6\/7*m**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116543 and 3101.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4414242 (base 5) to base 11.\nAnswer: 52280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 18. Let v(m) = m. Let k(w) = -4*w. Let b(y) = k(y) + 2*v(y). Give z(b(t)).\nAnswer: -4*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.558 + -19. Round x to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 17. Let f = -2706 - -2714. Determine m(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*k - 11, 0 = 9*r - 6*r - 2*k + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -81.2?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 7*o - 12*o, 5*o - 9 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f + 0*f + f. Let n(t) = -t - 17. Let l be n(-20). Let w(b) = -2*b**3 - b**l - 35*b + 17*b. Give -18*d(a) - w(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2782 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195749 divided by -3209?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 155835\nAnswer: 15583.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h - 1. Let d(t) = -t**2 + 1. Let y(b) = b**3 - 72*b + 1. Let x be y(0). Determine x*k(q) + 4*d(q).\nAnswer: -3*q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 9) to base 7\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10360, -35390, -77120, -135562, -210728, -302630?\nAnswer: -411280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1178200 and 94600?\nAnswer: 12960200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216555 and 102.\nAnswer: 7362870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407 + 206. Suppose 4*q - 35 - f = 0. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 8\/13114765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(52) + -1))**2.\nAnswer: 4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -180*p**2 + 34*p + 11. Let g(q) = 47*q**2 - 9*q - 3. Let f(o) = 23*g(o) + 6*n(o). Let t(z) = 3*z + 3*z - 2 - 3*z. Let s be t(2). What is f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 3*n**5 - 3*n**5 + (3*n**3 - 8*n**2 + 24*n**2 + 0*n**3)*(n**2 - 3*n**2 + 0*n**2).\nAnswer: -5*n**5 - 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**4 + 85*i**3 + 110*i**2 + 35*i.\nAnswer: 5*i*(i + 1)*(i + 7)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 111*c**2 - 857*c + 587. Give x(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14 + 50\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 16) in base 9?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(14*(-5)\/2100)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33663 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 4\/34 - (-7110)\/255?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.703 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(102) - -3*sqrt(102)) + sqrt(102))\/(sqrt(54)*3))**2.\nAnswer: 833\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - h. Let j(n) be the second derivative of 0 + 0*n**2 - 2*n + 1\/6*n**3. What is j(m(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/49854 or 0?\nAnswer: -1\/49854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - 4*i**2 + 0*i**2)*(-i + 0*i - i) - 3*i**3 - i**3 - i**3 to the form y*i**3 + b + m*i**2 + v*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25908489.9 microseconds to days.\nAnswer: 0.00029986678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = 4*l, -4*l + 4 = -4*v - 0*l. Let p(o) = 2*o - 3. Let u be p(v). Let z be (0 + (-2)\/5)*1. What is the third smallest value in z, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.014 - -0.114. Let d = 9 - 6. What is the nearest to f in d, -0.1, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12484 + -12739. Is v at least -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 1807 = 259. Find the second derivative of -o*n - 153*n**4 - 29*n**4 + 2*n + 86*n wrt n.\nAnswer: -2184*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 + 3 = 0. Let w be 1*(g - 1)\/(-2 + 1). Which is the closest to 0? (a) -4\/9 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4 - 4*v**3\/3 - 6*v**2 + 12*v - 15. Let a(x) = x - 1. Suppose 0 = -8*z - 11 + 3. Let c(n) = z*w(n) - 12*a(n). Factor c(d).\nAnswer: -4*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28525 is divided by 1738?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 103*y**2 + 5*y + 99. Let l(j) be the second derivative of -j**4\/12 - j**3\/6 + j**2\/2 + 18*j + 1. Let r(k) = 5*l(k) + p(k). Differentiate r(z) wrt z.\nAnswer: 196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:47 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26302388 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 2 + 6\/(-2). Does 6 divide n*-9*3\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*y = -3895 + 6735 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.0367011 to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Suppose -5*x = 2*h + 35 - 9, 0 = -2*x - 3*h - 17. Let n(p) = 8*p**2 + 4*p. What is x*b(z) - n(z)?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 65743. Let u(r) = -2*r. Give u(g(p)).\nAnswer: 6*p + 131486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - (-1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 302, 445, 588?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1768 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 2*x - 4, 5*x - 3*j = 14. Suppose 0*r + x*r - 16 = 0. Find the second derivative of r*v**2 - 4*v**2 - 41*v**4 - 26*v + 46*v**4 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13954470 and 117555?\nAnswer: 237225990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 2*g - 498*g**2 - g.\nAnswer: -498*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)*(-10)\/4 + 5. Let j(g) be the second derivative of -6*g + 1\/72*g**4 + 1\/12*g**3 + m + 1\/6*g**2. Let j(r) = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -4*r - 4*v, -r + v + 196 = -0*v. Let g = r - 81. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/12 - l**3\/3 - l**2\/2 - 2*l - 1546. Let k(b) = -b**2 + 2*b + 2. Let o be (-40)\/(-16) + (-1)\/2. Give o*k(p) + 3*c(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254457441.39 take away 46?\nAnswer: 254457395.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2341, 4, 5, -1 in increasing order.\nAnswer: -1, 4, 5, 2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 3*v**2 - v**2 + (-130*v**2 - 16*v**2 + 30*v**2)*(20 + 6 - 6).\nAnswer: -2318*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 9*s - 9 = -10*s, 0 = -23*u - s - 63 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (8 - 29 - -37) + 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*t - 351 + 21, -r + 247 = 4*t. Let v be 2\/3 + (-1864)\/(-30). Let a = v - t. Is a < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 17 + 63 = 18*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2 (c) 3\/172 (d) 6 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = 3*r - 8*t + 3*t, -3*t = -5*r + 930. Let x = r - -173. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 + 0*n**3)*(1 - 2 + 0) + (-13*n**2 + 0*n**2 - 7*n**2)*(0 + 0 - 3*n).\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 71)*(8 + 0 - 6)*(x + 4*x - x)*(1 + 3 - 2).\nAnswer: 992*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5*(-1 + (4 + sqrt(72) + sqrt(72) + sqrt(72))*2)*-2)*-3)**2*5.\nAnswer: 2332800*sqrt(2) + 11897280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**3 + 7*w**2 + 11. Let x(a) = 25*a + 5 - 5*a**3 + 4*a**2 + 17*a - 42*a. What is 11*x(d) - 6*z(d)?\nAnswer: -d**3 + 2*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22914, -91644, -206192, -366558?\n\"Answer: -22909*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 3 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1552 = 3*m + 2*m, 0 = -3*m + w + 940. Suppose 672 = 313*h - m*h. Does 56 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237680.\nAnswer: 2, 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1344 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5986*t + 6439*t - 30020 = 12741*t for t.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 14*v + 8. Let d = -156 - -165. Let a(q) = q**2 - 3*q - 69. Let f be a(d). Calculate p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-33) - (-93)\/33. Put 5, -1, c, -2 in decreasing order.\nAnswer: 5, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 3, x: 1, s: 1}. Give prob of sequence exs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4858625 + -4858595.99937. Let n = j + -29. What is n rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 155.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -h, -3*z - 2*h - 6 = -z. Is -2.2 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 - -225. Solve j*b + 8 = 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130*(9\/6 + -2). Let f be (-2)\/9 - u\/9. What is the units digit of (-3)\/9*f*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 50 = 134. Let v(k) be the first derivative of 4*k + 21 - 3\/2*k**2 + k**3 + 1\/4*k**h. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590574*d - 211841*d + 138535*d - 696511*d.\nAnswer: -1360391*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 41, -1 in decreasing order.\nAnswer: 41, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160552957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2, r: 2}. Give prob of sequence rbrb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*b - 712, b = z - 201 - 27. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.58 + 33. Let d = 1.4 - h. Let m = 0.8 - 0.3. Which is the second smallest value? (a) d (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v + 9. Let d be l(-1). Solve 13*o - 2 = -4*g + 11*o, -2 = -2*g - d*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r + 420. Let o = -46 - -88. What is the highest common divisor of o and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**5\/120 - x**4\/6 + 8*x**3 - 20*x - 2. Let w(o) be the second derivative of l(o). Determine w(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.47 + -0.53. Let s = 1.1 - 0.1. What is the closest to v in s, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/540 - h**5\/270 - 2*h**2. Solve q(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:32 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 8*u + 4. Let i be t(-13). Suppose -y + c = -i, -c = 2*y + 2*y - 251. Let w = -4 + 12. Calculate the highest common factor of y and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-15))\/((-51)\/9 + 5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002260461238 rounded to 7 dps?\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 449631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzdzezd. Give prob of picking 2 d and 1 z.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -3, -38, -109, -228, -407, -658, -993?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -8) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 - 5. Let l be o(-4). Let x(s) = 6*s. What are the prime factors of x(l)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -651.524.\nAnswer: -651.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 22. Solve -g - 10 = n*j, 2*j = g - 2 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 470547 + 3*c**2 - c**2 + 100*c - 470548 - c in the form g + l*c**2 + v*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 620875.\nAnswer: 2483500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 9659?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32892.\nAnswer: 2, 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11111089 + 339.89452911. Let j = -340 + s. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + 0*s)*(-2*s**2 + 5*s**2 - 5*s**2) + (s**3 + 2*s**3 - 2*s**3)*(1 + 4 + 1).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/120 - 4*v**5\/5 + 32*v**4 - 70*v**3\/3 - 2*v**2 - 26. Let f(r) be the first derivative of j(r). Factor f(b).\nAnswer: 3*(b - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -4)*(26\/247 + 270\/(-399)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -122.6. What is the smallest value in z, -0.04, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 5*x**2 - 8*x + 9. Let d be q(5). Let m = 32 + d. Let u(l) = l**2 + 1. What is the remainder when u(-1) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 2. Let b(f) = 3 + f**2 + f**2 + 0*f**2. Suppose l - 1 = 2. Suppose -l = 10*n - 11*n. What is n*y(u) - 2*b(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2\/2 - 14*r - 3. Let x be h(13). What is the closest to -1\/2 in 3\/4, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 3 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(76)*-2)**2 + 4.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 33 - 81 = 0. Solve -n = 2*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 437 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 + 158*y + 1229. What is d(-8)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 - -0.8. Let i(t) = t**3 - 7*t**2 - 5*t + 67. Let g be i(6). Which is the nearest to z? (a) -1 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193420591?\nAnswer: 7, 13, 303643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/81)\/(5\/30).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*r. Suppose -2*p - q = 0, 1 + 5 = 2*p + 4*q. Let z be (-6)\/(-9) + 33\/(-9). Which is the nearest to r? (a) -5 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148 and -6788?\nAnswer: 1004624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20195 divided by 76?\nAnswer: 20195\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 + 17 = 0. Suppose -x = -h - 1 + w, 4*h = -x + 10. Suppose h*y = 3*j + 42, -3*y + 2*j = -29 - 13. Solve -g = -f - 3 - 0, 3*g - y = -2*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 543*m + 4321 wrt m?\nAnswer: 543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70807, 141725, 212643, 283561, 354479, 425397?\nAnswer: 496315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204 + 7*k**2 - 6*k**2 + 0*k**2 + k to a*k**2 + t + q*k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1295, -21, -0.1 in decreasing order.\nAnswer: 0.1295, -0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 482*-38.7\nAnswer: -18653.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2150*i + 4039?\nAnswer: -2150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 4. Let w(t) = 7*t + 7. Let a(b) = 3*w(b) + 5*y(b). Let l(u) = u**3 + 4*u**2 + 8. Let n(f) = 2*a(f) - l(f). Give n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10) + 77\/(-35)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 47*y**2 - 3*y - 6 + 2*y + 2*y. Does 23 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46645*d*w**2 + 6*d*w - 4*d + w**2 + 2*w - 788196 wrt w?\nAnswer: -93290*d*w + 6*d + 2*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220170\/539 - -3743\/49. Let k = -330 - q. Is 3 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 23*h**4\/12 - 9*h**3\/2 + 11*h**2 + 6. Let t(i) be the second derivative of v(i). Differentiate t(n) with respect to n.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Let n = -1868.2 - -1868. What is the third smallest value in z, 0.1, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**2 - 1 + 1\/6*p**3 - 2*p. Let o(h) be the first derivative of m(h). Calculate o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyf. What is prob of sequence yf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*k. Let v = 1 + -2. Let d = 0 - v. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:04 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 548\/6*(-24)\/(-16). Suppose -8*p + b = 9. Calculate the smallest common multiple of p and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862194.\nAnswer: 2, 3, 143699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1618 or -171527\/106?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - v + 0 = 1, 5*b - 3*v = 3. Suppose -3*y + 99 = -3*u, -3*y + u + 99 = -b*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 20, -2*u + 2*s = -5510. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Sort b, -15, -2.\nAnswer: -15, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-630)*12*3819\/(-1072)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -6.45?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32104 - 53176 = -2080*p for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2635236 to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -263 - 3?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388917102 by 55559586.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.2 - 1.2. Let n(d) = -d**3 + 10*d**2 + 21*d + 38. Let x be n(12). Put x, -4, p in descending order.\nAnswer: p, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*v + 23, 1351*t - 676*t + 9 = -2*v + 674*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*n = k - 9090, -3*n - 9100 = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*k - 18 = -0*k, -40 = -5*c - 5*k. Let u = 8 - c. Factor 1 + 3\/2*r + 1\/2*r**u.\nAnswer: (r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 + 727070*f**2 + 26433720320*f + 158576148480 = 0. What is f?\nAnswer: -72704, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*r + 13925, -2327*p + 5573 = -2325*p - r. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2373*p + 1136*p - 5995 = -1128*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 = -25. Let p be (c\/2)\/(15\/(-10)). Do -3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/43 or 22218?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 14*y = 0. Suppose y = -0*w + 3*w - 51. What is the remainder when 43 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5869542 divided by 42.\nAnswer: -139751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.009 + 0.009. Let o = z - -25.9. What is o rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 68.3. What is the closest to 1 in q, -2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -506, 4 in descending order.\nAnswer: 5, 4, 1, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91903 and 27505205.\nAnswer: 27597108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1384380.\nAnswer: -4153140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2870 + 20088\/7. What is the second biggest value in -1\/6, -60, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18419130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2562 - 572*u**2 - 1282*u**2 - u - 2563)*(3 + 0 - 2)*(-3*u + 3*u - u).\nAnswer: 1854*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285661124?\nAnswer: 2, 7, 19, 139, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9222 and 3732.\nAnswer: 5736084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 194\/16 - 8 - (-1)\/(-8). Find the second derivative of 4*p + 79*p**4 + 0*p**5 + 69*p**4 - p**5 - 41*p**u wrt p.\nAnswer: -20*p**3 + 1284*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:28 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 + 4*q**2 + 3*q**2 - 25*q**2.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*f - 6 = 0, 8*q - 2*f - 6 = 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7644*r**3 + 435*r + 14. Let h(w) = -3823*w**3 - 219*w - 8. Let s(d) = 11*h(d) + 6*i(d). Find the second derivative of s(a) wrt a.\nAnswer: 22866*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + (-10 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzzzpppgpqpp. What is prob of picking 1 g and 2 z?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599792742.\nAnswer: 2, 3, 17, 101, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3057*o**3 - 2*o - 4. Let n(g) = -3008095*g**3 + 1969*g + 3938. Calculate 1969*f(x) + 2*n(x).\nAnswer: 3043*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (10 - 40) + 9 - -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -16*b - 21. Let r(n) = -n**2 - 8*n - 4. Let p be r(b). Solve p*q = -q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w\/((w*w\/w**26)\/w*w))\/w)*w\/((w\/w**(2\/5))\/w) assuming w is positive.\nAnswer: w**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10.0529 * -3\nAnswer: -30.1587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - 17*d**5 + 3*d**5 + (-6 + 0 - 4)*(-3*d + 7*d - 2*d)*(-3*d**4 + 3*d**4 + 2*d**4).\nAnswer: -57*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 144\/210 + (-4)\/14. Let u be (-12)\/(-14) + 5\/35 - (0 + 1). What is the fourth smallest value in u, r, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25489175, -25489171, -25489171, -25489181, -25489207?\n\"Answer: -l**3 + 4*l**2 - l - 25489177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387871 (base 9) to base 13.\nAnswer: 83227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 2. Let y be p(2). Let l(c) = -c + 2. Let d be l(-2). Suppose 2*n - d = -2. Solve o + m - n - y = 0, -8 = -4*o + 3*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100027*u**4 - 21214 wrt u.\nAnswer: 400108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75a30 + -8a?\nAnswer: 75962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10309815 - 0.025425.\nAnswer: -0.12852315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3757 (b) 41 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2186836114 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -396.\nAnswer: 5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 888198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*80\/(-384)*4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p. Let z(x) = -2*x**2 + 12*x. Let j(u) = -6*i(u) - z(u). Let v(o) = 6*o**2. What is j(v(t))?\nAnswer: -144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**5 + 1375*v**4 - 9*v**2 + 5963 wrt v.\nAnswer: 360*v**2 + 33000*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-27))\/(1648\/76632)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, n: 4, f: 6, o: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxml when four letters picked without replacement from {l: 6, x: 11, m: 2}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.1 (b) -172 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/13 (c) 3 (d) 5 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*i - 197*i + 2544360 = 0. Does 75 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, n: 6, a: 7}. Give prob of picking 2 i and 2 a.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 312856.352 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let f = -14 + 9. Sort f, q, -3.\nAnswer: f, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 4*l - 12. Let i be a(-4). Solve -b = i*c + 1, c - 8*b + 3*b = 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24834555 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 24*b + 33*b - 2*b**2 + 0*b**2.\nAnswer: 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-3))\/((-4)\/(-12)). Suppose 65 + 749 = 65*f + 164. Solve a*p + f = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15))**(-2\/77) assuming l is positive.\nAnswer: l**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 26 (c) -0.2 (d) 2668 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) + (1 - 1). Sort 6, x, -3 in increasing order.\nAnswer: -3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009195 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4\/7 - 2\/7*q**3 + 2\/7*q + 4\/7*q**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -681435.8861 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144457774?\nAnswer: 2, 151, 211, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by -386.\nAnswer: 149\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 135. Calculate z(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 17730?\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*(-24)\/(-448)*(4 + (-65)\/15). Which is the fourth biggest value? (a) -4 (b) g (c) 2.4 (d) -6\/7 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1\/(-1) + 4. Suppose -3*p + 4*d = -43, 13 = -2*d + z. Suppose 5 = 5*x, -3*y + 55 = -0*y + 4*x. What is the remainder when y is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Let a = c - -2. Suppose -k - a + 4 = 0. Solve 3*r = -2*r + 3*g + 14, 2*r + g = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*w**4 + 4*w**3 + 12*w**2 + 8*w wrt w?\nAnswer: -1296*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19789 is divided by 1761?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729703937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 18. Suppose 4*x - 11 = -l. Which is the closest to 0.1? (a) 3 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/69 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30\/(-40) - (-4)\/((-64)\/(-3212))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + sqrt(72) + -3 + (2 + sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) + -1*(1 + sqrt(72)))).\nAnswer: -2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3032*y + 12383 with respect to y.\nAnswer: 3032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 d when three letters picked without replacement from zdnzcznnnpzpcnn.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 9 = x. Suppose 2*d - x*d + 2*r + 416 = 0, -5*d + 3*r = -414. Is d + (3 + 1)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23672 (b) -2 (c) -2\/3 (d) 11 (e) 84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 3*g = -181, o = -g + 41. Suppose -20 = 4*k, -41 = 2*a - 5*k + o. What is the tens digit of (33\/(-11))\/(6\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*k, -1 = 2*k + 5. Let n = 6 + j. Let r be -2*(3\/n + -1). Solve 4*u - r*q + 5 = 0, 3*u - 5*u + 3*q + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1298*v + 1305*v + 612*v**3 + 1303*v - 3906*v.\nAnswer: 612*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose -12 = -3*o, 3*g - o = -u*o + 10. Suppose q - 45 = -g*q. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, w: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 9 + 3)\/(-2) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100901970 divided by 445?\nAnswer: -226746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -1516500324?\nAnswer: 1516500343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1, -0.4, -5, -8671, 0.2 in increasing order.\nAnswer: -8671, -5, -1, -0.6, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2544*n - 116870 = -622*n + 1151*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3439 = 5*b, -7*b = -3*b + 2*n + 2760. Let s = 697 + b. Let p = 9 + -6. Is s less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -116\/211279?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b**3 + b - 1. Calculate the lowest common multiple of o(1) and (44 - 45)*(0 - (-22)\/(-2)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p**3 + 2*p)*((-2 + 1 + 0)*(5 - 2 - 2) - 576 - 662 + 1321) - 3*p**3 + p**3 + 4*p**3.\nAnswer: 166*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132135 (base 6) to base 3\nAnswer: 121200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*d - 14*d - 2163 + 22452 - 1789 = 0 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5. Let t be g(0). Let s = 48 + -54. Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34d524 (base 15) to base 14.\nAnswer: 49a603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 17*m - 7*m + 0*m + 15*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/390)\/(2\/3)*(12 - 9).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i + 205 = -295 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 3.674.\nAnswer: -22.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1056.96 + -1032. Let u = -27.5 + j. Let k = u + 2.540157. Round k to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 13 - 37. Suppose 6*d = 5*x + d - s, 4*x + 2*d = 26. Solve -g - 2*g = -x*u + 17, 2*u - 14 = 3*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2249362112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.162 and 7.\nAnswer: 1.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1064, 4, -2\/3, -4 in ascending order.\nAnswer: -4, -2\/3, 0.1064, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 586*d**2\/11 + 46982*d\/11 + 579630\/11.\nAnswer: 2*(d + 15)*(d + 139)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6961*-0.1.\nAnswer: 696.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*b + 6 = -19, 0 = b - 4. Suppose -2*y - 12 = -5*v, 3*y = -4*v + 7*y. What are the prime factors of (x + -5)\/(v\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 - (6 - (9 + 15)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/37760 and 191\/7080.\nAnswer: 113280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 4, t: 1, b: 5, n: 2, z: 2}. What is prob of sequence ty?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/6 + 37*d**3\/2 - 113*d**2\/3.\nAnswer: d**2*(d - 2)*(d + 113)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2365 and 2090?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*38 + -1. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*7\/119)\/(21\/(-6))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 96\/161 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (11 - (197 + -187 + -2 + 16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/(-75))\/(26\/30 - (-113 + 114))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqrppppr. What is prob of sequence rqr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 6 = -2*w + 3*x, 0 = 4*w - 2*x - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 35. Calculate n(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1098)\/(-120)*(-10)\/(-15). Put z, 0, 5, 0.2 in decreasing order.\nAnswer: z, 5, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35004687813.99999442 + -35004687312. Let x = s - 502. Round x to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - i - i + (-2 + 5 - 1)*(2 - i - 2) - i + 2*i + i + 21*i - 28*i + 12*i - 3 in the form b*i + u and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i + 9*i + 5*z + 10, z - 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1684 + 8418\/5. Calculate the common denominator of (-2*83\/(-36))\/1 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20219\/4 + 5055. Let n = -1 - 3. Sort 2\/7, -1\/4, n, s in decreasing order.\nAnswer: 2\/7, s, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -24. Suppose 18*p - 16*p - 8834 = v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 2*i, -35 = -2*l + 5*i. Let p = -6 + 9. Suppose -2*x + p*x - l = 0. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2008915077 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4598 - -10493. List the prime factors of b.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 4*o - 11. Let l(g) = -g. Let y(z) = -5*l(z) - m(z). Give y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 + 13*t + 8. Let o(k) = 3*k**2 - 3*k. Let p(i) = -o(i) + y(i). Give p(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 1 + 14*y**2 - 14*y**2 - 1. Let c(x) = -44*x + 3. Determine u(c(t)).\nAnswer: 1936*t**2 - 264*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/2, 39\/5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -420 - -441. Find the third derivative of 42*r**6 - v*r**2 + 15*r**2 - 12*r**2 - 6 + 5 - 29*r**2 wrt r.\nAnswer: 5040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -544\/21 + 572\/21. Factor g*y + 2\/9*y**2 + 2.\nAnswer: 2*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbpbbbpbpbpbpbpp. What is prob of picking 1 b and 3 p?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 + 6771*y + 169. Let d(w) = 15*w**2 + 6770*w + 197. Determine -6*d(j) + 7*f(j).\nAnswer: j**2 + 6777*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(12\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-84) + 940\/(-56) + 11. What is the fourth smallest value in 5, 0.3, x, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39852384 to the nearest integer?\nAnswer: 6313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1111414*c**3 + 13*c**2 - 168*c - 2654 wrt c.\nAnswer: 6668484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.12 (b) 2 (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126 divided by 4?\nAnswer: 1063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by -1.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6, -k - 19 = -6*k + 2*b. Let i(p) = 2*p**3 + 4*p**2 - 2*p - 2. Let o be i(-3). Let q = -11 - o. What is the remainder when k is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/28 + 18\/(-14). Let y = k - -3. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 0)\/((-4)\/(-8)). Let w be 8\/y*(-45)\/(-2). Let v be (3\/w)\/((-2)\/(-8)). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((-27)\/13 - 1). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 + -0.13. What is the second biggest value in w, 1, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:17 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13712 - 8384. Suppose -236 + c = 19*b. List the prime factors of b.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -76. Let k = s + 51. Calculate the lowest common multiple of 9 and (-5)\/(k\/(-8))*5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 = 3*a. Let j = 2 - 2.2. Let h = j + 0.1. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/22132 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -116720*p + 350169. Give t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3826*b*r**2 - 41*b*r - 30694*r**2 + 3 wrt b?\nAnswer: 3826*r**2 - 41*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-210)*7 + 1152\/(-720)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3*(-8)\/(-12)). Sort -3, 3, q in descending order.\nAnswer: 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48620 to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*k + 2*c - 49, 3*c - 10 = -k. Suppose b = 47 - k. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 9 = -3*q, 0 = -3*g - 804*q + 807*q + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*z + 40, 0*c - 50 = -3*z + c. Differentiate -z*d + 7 + 11*d - 2*d**3 + 4*d with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 1113 = 1157. Let f(u) = -u**2 + 3. Let x(p) = 1. Determine m*f(o) + 6*x(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 6*s**2 - 7*s + 8. What is b(6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f + 4*f + 40*f + 25*f. Let w(d) = d**2. Determine i(w(m)).\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 3. Suppose 0 = -b*g + 2*g + 4. Let c be (-2)\/4 - (-38)\/g. Solve -2*x - x + c = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/14)\/(166\/332*(-8)\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(-42)*-9*10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.008, -4?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/r*(r*r**1*r)\/r*r\/r**3*r**(1\/6) assuming r is positive.\nAnswer: r**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*-6*sqrt(77)*-2)\/(2*(sqrt(11) + (sqrt(275) + sqrt(275) + sqrt(275)*-1 + sqrt(275) - sqrt(11))))*4.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 112*p - 90 = -107*p, 0 = -2*a - 5*p - 15. Suppose -k - 3 = -2*k. Put k, a, -10 in ascending order.\nAnswer: -10, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heke. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-440)\/22*2\/(-8). Suppose 3*x + m*x = 208. Let d = x + -29. Put 0, 4, d in descending order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/2*-4. Let w = -474 + 1004. Let r = w + -529.7. What is the third smallest value in r, b, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 15. Let q(g) be the first derivative of -g**2\/2 - 15. Determine u(q(i)).\nAnswer: 3*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 35*c**3 - c**2 + 2*c - 1. Give o(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*p - 446 = -145*p. Calculate the remainder when p is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6462 divided by 2154.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111359928*d**4 + 219158841 wrt d.\nAnswer: 445439712*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3116\/(-190))\/((-4)\/2510) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11686, -11694, -11702, -11710, -11718?\n\"Answer: -8*x - 11678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27 = 642. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(72) - 1*sqrt(2)*-2)**2 - (sqrt(392) - sqrt(392)*5 - sqrt(392))\/sqrt(4)).\nAnswer: 105*sqrt(2) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4)*-4 + -4. Let n(r) be the first derivative of r**4\/4 + r**3\/3 + 32. Let j be n(c). Solve 0*z + 2*z = j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 11. Let b be (y\/2)\/(4\/16). Suppose 1 - 9 = b*f. Put f, 5, -5 in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1255*p**2 + 677*p**2 + 133*p - 258*p + 125*p as z*p**2 + m*p + a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, -8, -2, 1 in increasing order.\nAnswer: -12, -8, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 30 = 4*b + 3*r, -5*b + 2*r - 5 = 0. Let z be b - (-19*3)\/3. Is 15 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Let j = -359 - -357. Which is the closest to u? (a) j (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 10. Let a be d(-7). Let n be 6\/(-4)*(-4)\/a. Suppose -q - n = -9. What is the remainder when 19 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1 - (1 + 2)). Suppose 0 = -k*j - 10, -2*j - 8 = -2*f + 2. Differentiate 0*u**3 + 2 + 6 - 6 - u**f with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**5 - 7*i**4 + 15*i - 7. Let b(g) = 4*g**5 + 3*g**4 - 7*g + 3. Let a(u) = 7*b(u) + 3*j(u). What is the second derivative of a(s) wrt s?\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + (7 - -33 - 37) + 15.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k**3 + 11*k**2 - 2*k - 74. Let u(q) = 35*q**3 - 50*q**2 + 9*q + 294. Give -9*d(s) - 2*u(s).\nAnswer: 20*s**3 + s**2 + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18032 and 3312?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -88. Let u = 5 - b. Let x = u + 31. Which is bigger: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - 8) + 4 - 4) + -7 - -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14454\/12848*(-2)\/(-12)*2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603604142 to the nearest integer?\nAnswer: 24568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31036 take away -0.1?\nAnswer: -1.21036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*g - 21*g + 5. Are g and -1\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108204?\nAnswer: 2, 3, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -101. Let s(y) = -51*y - 19. Let a be s(x). Calculate the highest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45747 and 13033917.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**12*((x\/(x**(-9)*x))\/x)\/x*x)**(-4\/19)*(x**5\/x*x*x**(-4\/7))**(-12\/13) assuming x is positive.\nAnswer: x**(-14712\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 7\/60*c**5 + 0*c**3 + 0 + 0*c - 5*c**2 + 0*c**4. Let n(u) = u. Calculate n(b(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 229*m**4\/24 + 11*m**3\/3 + 18*m**2. Let x be z(6). Suppose 0 = 5*n - 394 - x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 8*z. Solve 5 = -5*p - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 0 - v**2 + v**3 - 3*v**2 - 4 + 0*v**3. Let x be d(5). Suppose 0 = 2*j - 4*s - 14, -3 = -s - 4. Sort x, -2, j.\nAnswer: -2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 12. Solve 2*f + 2*q - d*q = -14, 0 = -4*f - q - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + f = 100 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d - 5. Let g be v(20). What is the highest common factor of g and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1813, -4\/5, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 16286264*v\/3 - 132621197538848\/3.\nAnswer: -(v - 16286264)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -69\/32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312104 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66466\/(-20))\/(1974\/10). Let a = 2\/987 + v. Calculate the common denominator of (-8)\/(64\/235)*(-2)\/5 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y**2 + 32*y**2 + 54*y**2 - 92*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 0, -3*h + 5*h = 3*i - 14. Let y be 15\/30 - (-1*i - -3). What is the third smallest value in y, 2, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p - 3. Let u(h) be the second derivative of 2*h**3 - 2*h**2 - 1229*h. What is -5*s(z) + 4*u(z)?\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39828906 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 7 = -13*g, -3*g = 3*k - 12837. What are the prime factors of k?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*j**2 - 8\/5*j**3 - 8\/5*j + 2\/5*j**4 + 2\/5.\nAnswer: 2*(j - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/4*104\/(-520).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3914 - 3912. Which is the fifth smallest value? (a) 0 (b) 181 (c) 0.2 (d) 2\/5 (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/57*4\/(-6)*9\/(-12).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14387472 or -9.4?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 1. Let i be k(-2). Let v be i\/(((-140)\/8)\/7). Let u = 5 + -2. Which is the nearest to u? (a) 0.1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18487 and 0.19.\nAnswer: -18486.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3986530 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660770 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in 1, -7.42, -1, 0.1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*k - 136*k + 24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, -1, -4, 0 in increasing order.\nAnswer: -4, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5)*(-10)\/(-4). Let y = -1.003 - -0.003. Let q(w) = -w**2 - 5*w + 1. Let f be q(-4). What is the nearest to y in f, j, 0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -5\/28, -38 in descending order.\nAnswer: -5\/28, -1.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15552 divided by 6?\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 380 - 263. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1508 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549056 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -435, -871, -1307, -1743?\n\"Answer: -436*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20101*l - 20451*l = 12600 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15662 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 18*b**2 - 3*b - 15. Let u be h(-10). Let p be (1 - -8) + 1 + -2. Suppose 0 = -p*j + 13*j - u. What are the prime factors of j?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**18))\/(((((((y\/(y**(-13)*y))\/y)\/y)\/y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 248173 divided by -6053?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 35*p + 3 + 3 - 66*p - 7*p**2 + 34*p. Let i(d) = d**2 - 1. Let g(h) = -30*i(h) - 5*q(h). What is the second derivative of g(y) wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 4. Let r(b) = -b + 1. What is 15*r(y) - 5*w(y)?\nAnswer: -10*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*a - 1\/5 + 1\/5*a**2 + 2\/5*a**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.91 (b) 10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74382 and 42504?\nAnswer: 297528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let k(n) = 2*n**2 - n - 24. Let v be k(4). Let o(g) = -3*g - 1. Determine v*p(x) + o(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166597, -166542, -166451, -166324, -166161, -165962?\nAnswer: -165727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 10*d**2 - 9*d + 4. Let m be w(8). Let x be (480\/128)\/(9\/m). Suppose 5*a + 2 - 20 = -2*u, 4 = 2*a. Solve -k - u*k + x = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14471098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -44225.\nAnswer: -4422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525250028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-213.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3505179, -14020705, -31546581, -56082807?\nAnswer: -87629383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c + 1110. Suppose 3*k + 2*j = -j + c, 4*k - j = 301. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and -131?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*2*(-320)\/3. Suppose 3*w - 5*d = 1899, 4*w - w - o = -2*d. Suppose -t + 5*m - 163 = -w, -4*m = -8. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19110261 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16567 (base 8) in base 12?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m = 112*m + 875 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96543*f + 193089*f - 96543*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2192, 5, -29 in ascending order.\nAnswer: -2192, -29, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -15. Calculate the remainder when 87 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 74 + -4*(-40)\/(-32). Calculate the greatest common factor of h and 2875.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12609 + 12403 - (-108 + 1)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x. Suppose 430 = -14*m + 1228. Let b(o) = m*o - 2*o**2 - 57*o. Calculate b(c(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1750345\/156 - 182638\/13. Let m = 2833 + n. Find the common denominator of ((-3)\/(-14))\/((-18)\/(-176)) and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g**2 + g**2. Let h(i) be the second derivative of -i**6\/720 - i**4\/12 + 2*i. Let n(r) be the third derivative of h(r). Give p(n(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 652686299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 0.148829\nAnswer: -0.2083606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r - 4. Let f be m(3). Let u = 3 - 3. Suppose 3*s + f*s - 55 = u. Solve 4*b - s = 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/4 or -24351?\nAnswer: -24351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2\/9 - 1100*k\/9 + 104\/3.\nAnswer: 4*(k - 39)*(7*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvgegg. What is prob of sequence ge?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 + 12\/(-2). Suppose -8 = -x + 3*a, 2*x = 3*x + 5*a + 8. Sort d, x, -1 in descending order.\nAnswer: x, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5968 divide 145505808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 divided by -8326?\nAnswer: 1377\/4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*v - 2, -h - 5 + 16 = -4*v. Let c = 70 + -65. Suppose -c*r + 2*t + 77 = 5, h*r - 44 = 2*t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110424211 (base 5) to base 8.\nAnswer: 11226125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Suppose -s - 9 = -2*x, 2*s - 6 = -x + 1. Solve -s = -d - p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k + 1\/40*k**6 + 0 - 7*k**2 - 1\/8*k**4 + 0*k**5 + 0*k**3. What is the second derivative of i(t) wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/132)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Suppose 5*u - 2*u + r = 19, -2*u - 4*r = 4. Suppose -7 = -m - 4*o - 0*o, 4*m - 2*o = -u. What is x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68760 (base 15) to base 12.\nAnswer: -140453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 5*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let a(u) be the first derivative of -908*u**3\/3 - 2063. Calculate a(o(f)).\nAnswer: -908*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = -1795*u - 21928 - 119923 - 34399 for u.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208109734 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1073*a**7\/210 + 207*a**4\/4 + 920*a**2 + 2*a. What is the second derivative of j(n) wrt n?\nAnswer: -12876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*z - 2*z**2 + 16*z**2 - 9*z + 5*z**2 in the form r + s*z**2 + j*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 115 + 0 - 41*q**4 - 144*q**2 + 16*q**2. Find the second derivative of h(y) wrt y.\nAnswer: -984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131917554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182475 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 148 = 3*a, -3*v = a - 0*v - 46. Suppose -5*n = -a + 4. What are the prime factors of (n\/12)\/((-2)\/(-48))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.286512 rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 + 3*y**5\/20 - 11*y**4\/12 + 2*y**3\/3 - 66*y**2. Let c be u(-11). Solve -c*o = -3*o + 4*w - 12, 2*w - 6 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10450 and -7\/52250.\nAnswer: 52250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(26\/4 + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1633769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297520819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -8) + 2 + 1. Let h = 20 + -17. Suppose -7*f + 2*f + 342 = 2*s, -k*f = h*s - 524. Calculate the greatest common factor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375723 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -24*j**2 - 84*j - 60. Let a(s) = 5*s**2 + 17*s + 12. Let y(i) = 14*a(i) + 3*o(i). Let h be y(-10). Let u = 31 + h. Is u greater than or equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 11\/5 + -1. Let v = -0.15 - -0.25. Let f be 4\/15 - (-2)\/(-3). Which is the nearest to v? (a) f (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*u - 17, 4*u = -4*i + 27 - 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17614 + -18. Does 53 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 3. Let a be q(-3). Suppose -a*j + 43 = -2. Solve -3*v = -x, -4*v - 14 + 1 = j*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265565954 divided by -2\nAnswer: 132782977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-2\/3)\/(w\/(w*w**(-3\/5)*w)*w**7)*((w**0)**(-45))**(6\/11) assuming w is positive.\nAnswer: w**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 + h**2 + 2*h - h - h.\nAnswer: -12*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82353*k**3 + 186*k**2 + 33662095*k + 3.\nAnswer: -494118*k + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - 7\/(-14). Let b be (4 - 11 - -4)\/o. Let u(r) = -4*r**2 + 8*r - 8. Let s(l) = -3*l**2 + 7*l - 7. Let c(x) = -5*s(x) + 4*u(x). Calculate c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2599 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1521)\/27)\/((-1)\/3). Suppose -2*p = 4*g - g - a, p - 87 = -4*g. Suppose 27 = 2*r - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -192*j + 8. Let y be k(2). Let r = y + 893. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 21 + 35)*(-2*f + 8*f - f) as v*f + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70586213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (38 - 2)\/((-58)\/(-11252))?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 1, 5, 1\/3, 2\/3 in descending order.\nAnswer: 5, 1, 2\/3, 1\/3, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = 0. Let p be (-3)\/8 + (-10)\/400. Let s be (3\/(-4))\/((-42)\/16). What is the nearest to s in d, p, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -106. Sort b, -2, 4 in descending order.\nAnswer: b, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10)*p)**(-15) assuming p is positive.\nAnswer: p**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 - m**3 + 5*m**4 - 6*m**2 - m**4 as q*m + h*m**3 + p + o*m**2 + w*m**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3)*3)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0*d**4 - 2*d**4 - 3*d**4 - 4*d**3 + 40*d**2 + 16*d - 5*d**4 = 0.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 322 - 321.999999967. What is u rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/265? (a) -5\/7 (b) -19 (c) 2\/9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*(-w - w - 2*w)*(-24 + 12*w**2 + 24).\nAnswer: 336*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 divided by -94544?\nAnswer: 2031\/94544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let k(n) = -n**2 + 61*n - 171. Let i be k(3). Which is the closest to -1? (a) v (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.73 and -10201.8.\nAnswer: -10197.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 14 - 5. Suppose -31 = 3*y - 5*i, y + j*y + 3*i = 7. Let v(d) = -d**2 - 8*d + 40. Let f be v(5). Put f, 2, y in increasing order.\nAnswer: f, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164555.\nAnswer: 5, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - s = -o + 5, 3*s = o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299 + -299.1. Let q = 1\/8 - -19\/8. Which is the third smallest value? (a) 11 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 3*q + 17*x - 4, 5*x - 5 = -q. Let f(u) = 2*u + u**2 + 593 - 595 + q*u**2. Calculate f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/(3 + (-54)\/20). Suppose 0 = -v*i + i - 2*f + 67, 0 = 5*i - 2*f - 133. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6043\/3 - 2014. Suppose l**5 + s - 2\/3*l**3 - 2*l**2 + 5\/3*l**4 - 1\/3*l = 0. Calculate l.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-297)\/18)\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 - r**2 - 2*r. Suppose l = 3*o - 7, -3*l + 7 = 5*o - 7*l. Let j be v(o). Calculate the highest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 659796789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foffifcrfricirffi. Give prob of sequence ffr.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let i(c) = -48*c**2 + 8*c + 16. Let a(g) = -16*g**2 + 3*g + 6. Suppose -3*o - 8*o - 88 = 0. Let s(z) = o*a(z) + 3*i(z). Calculate t(s(b)).\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-7)*11\/12. Let w = -79\/30 + t. What is the closest to -5 in 3, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19804910 to the nearest one hundred thousand.\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 15 - z**3 + 13*z**2 + 20*z**2 - 41*z**2 - 10*z. Suppose a - 4*g = -3*g - 2, 0 = 2*g + 8. What is the least common multiple of h(a) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 143 = -r, 23*r - 539 = 19*r + 5*f. Suppose 2*l = -3*y + 5*y + 36, 3 = -3*y. Calculate the highest common factor of r and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1490*c**3 + 718 wrt c?\nAnswer: -4470*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 31 = 2*v, -3*v = 2*i - v - 44. Let f = 45 - i. Suppose 5*s - 3*p - 189 = 0, -2*s - 2*p + 0*p + 66 = 0. Solve f = 4*a - b, -a + 5*b + s = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1256 and 8556?\nAnswer: 2686584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846523, 846505, 846487, 846469?\nAnswer: 846451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.2, 5, 7.9 in decreasing order.\nAnswer: 7.9, 5, -0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n - 15. Let v be s(16). Let a = -1\/50 - 97\/150. What is the closest to a in -3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7632549*l**4 + 6623922*l**2 wrt l.\nAnswer: -183181176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*b - 4*n - 1, 2*b - n - 1 = 0. Let u = 19 + -17. Put b, u, -4, 4 in increasing order.\nAnswer: -4, b, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 12 = -2*h + 11, 5*h + 3*x + 20 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 81 + 9\/(0 + -3). Let r = d - 18. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/7 - 1476904*z\/7 + 5907840 = 0.\nAnswer: -738480, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 313*o - 424, 8*c - 9*c - 16*o = -13*o + 34 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.69 and 29.\nAnswer: 20.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 5*a - 4. Let t = 4 + -9. Let m(j) = -10*j + 11*j - 7*j + 5 + 2*j**2. Let s(k) = t*m(k) - 6*q(k). Find the first derivative of s(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -938, 2, 1, -8, -2, -5 in decreasing order.\nAnswer: 3, 2, 1, -2, -5, -8, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 31*z**2 - z - 35. Determine x(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 20 + 3*g**2 - 37 + 0*g**2 in the form s*g**2 + d*g + w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.7, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = -3*b + 13, 2*t + 3*b = -1. Is 105 - (-2*5)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -3*u, -5*y - 58*u = -54*u - 15. What is the smallest common multiple of y and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.2, -539?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 31. Calculate j(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7447?\nAnswer: 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 14*q - 18. Let v be p(13). Let i(m) = m - 1. Let l(w) = 8*w - 3. Calculate v*i(d) + l(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10957897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -54*s - 2691. What is v(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**4\/6 - 64*p**3\/3 + 177*p**2. What is a(-31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50732 and -117.5?\nAnswer: 50614.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 8*q - 105.\nAnswer: (q - 7)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90441 and 735.\nAnswer: 22158045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-4))\/(1\/4). Let o(k) be the third derivative of 5*k**4\/24 - k**3\/3 + 11*k**2. Let h be o(1). Solve 0 = -h*g + r - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 154 = 3*r - 2*a, 3*a = -r + 61. Suppose -j - 3 + r = 0. Suppose 3*l - l - 2*t = j, 0 = 5*t - 25. What is the remainder when l is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 - 11101001110010110100100?\nAnswer: -11101001110011000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90201 - 48158. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1173 + -766. Suppose 0 = 3*p - 2*p - 5. Suppose -22 = p*d - m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 34.85707 days?\nAnswer: 3011650848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353776653?\nAnswer: 3, 1455871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -931*p**6\/6 - p**3\/3 - 23*p**2\/2 - 3*p - 2008. What is the second derivative of z(x) wrt x?\nAnswer: -18620*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210 + -40303202?\nAnswer: -40304412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2719999*y - 2714963*y.\nAnswer: 5036*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 - 27*r + 39. Let t(l) = l**2 - 6*l + 10. Let a(b) = -2*f(b) + 9*t(b). Let a(j) = 0. What is j?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37198136281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672620 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.16679 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1030490 divided by -1\nAnswer: 1030490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-93)\/(-3192)*(14 + -12) and -55\/168?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -z - 30, 6 = 4*s - 3*s + 2*z. What is the smallest common multiple of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38526, -4, 53 in decreasing order.\nAnswer: 53, -4, -38526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*c = 463, 0 = -2*l + 5*c - 128 - 51. Let d be l\/(-10) + (-3)\/15. Solve -2*j = -b + 3, j = 2*j + 2*b + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:06 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -545?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103595 - -150431. Does 8 divide m\/90 - 4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 15*r**2 - 11*r + 62. Calculate the remainder when 904 is divided by b(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/6 - (-6)\/36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*x - 457 - 155 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*h + 5*x = -154*h + 230, -12*h + 3*x = 186 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 4. What is the smallest common multiple of 2 and u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -231*a + a**2 + 225*a - 5*a**2. Let n be l(-3). Is 3*-1 + (-13356)\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, 0.003, -2\/99, 4 in decreasing order.\nAnswer: 192, 4, 0.003, -2\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 310?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 526. Is (3 - -1) + -5 + c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = -127*z + 65*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 230, 524, 938, 1472, 2126, 2900?\nAnswer: 3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -162*l**3 - 63*l**2 - 63*l - 63. Let w(g) = 13*g**3 + 5*g**2 + 5*g + 5. Suppose 0 = 8*u - 643 + 139. What is u*w(n) + 5*s(n)?\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose 0 = -w*g - 2*g + 26. Suppose 3 = 2*t - 11. Solve -n = 2*m - 4*n + g, m - 2*n = -t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*-1*6)\/(-4*sqrt(15)\/sqrt(3)*3).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 2\/15*g**5 - 1\/6*g**4 + 0*g + 0*g**2 + 1\/9*g**6 - 2\/9*g**3 - 3. Find o, given that v(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-12))\/7 + (-423963)\/(-8802).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -31*l + 370. Let n(p) = 4*p - 1. Give -9*n(x) - t(x).\nAnswer: -5*x - 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 122*p - 1086. Let x be c(9). What is the fifth smallest value in 1, -0.4, 2\/21, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0. Which is the closest to -1? (a) 1\/3 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(42)\/sqrt(6) + sqrt(7) + -5 - (sqrt(448) - sqrt(448)*1))**2.\nAnswer: -1060 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/10, 26, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -7) + -1 + -7 + (1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - l + 2. Let h be (-2*3)\/((-3)\/(-9)). Let w = 16 + h. Determine v(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*((4*f - 4*f + f**3)*(2*f**2 - f**2 + 0*f**2) + 2*f**5 - 4*f**5 + 3*f**5).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.56375 rounded to one decimal place?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 37. Calculate the smallest common multiple of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 3)\/1 - 4. Let c(q) = -6*q**3 - 3*q**2 - 3*q - 3. Let j(h) = -11*h**3 - 5*h**2 - 5*h - 5. Give v*j(f) + 5*c(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) 0 (c) -239 (d) -0.2 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 divided by 8?\nAnswer: 137\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 259128721 to the power of 1\/2, to the nearest integer?\nAnswer: 16097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5348260998?\nAnswer: 2, 3, 7687, 38653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let w(o) be the first derivative of o**3 + 8. Give w(i(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1296.\nAnswer: -1\/648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/5))\/(o*o**0\/o)*o**(-9)*o**(-4)*o*o**4\/o**7*(o**2)**50 assuming o is positive.\nAnswer: o**(429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377)*2)*-5*4 - (sqrt(1377) + 1 + sqrt(1377) + 3 + (sqrt(1377) - (-1 + sqrt(1377) + (sqrt(1377) - (1 + sqrt(1377)))))))**2.\nAnswer: 6696*sqrt(17) + 5293224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*s - 10950*j**4 + 2*j**3*s + 5*j**3 - 25*j**2 + 30*j - 20*s - 1 wrt j?\nAnswer: 24*j*s - 262800*j + 12*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/66)\/(154\/(-5929)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/27 + 54942\/(-18). Round v to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10923*i + 32767. What is d(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10534, 31728, 74236, 148714, 265818?\n\"Answer: 1776*g**3 + g**2 + 8759*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1999803 or 9?\nAnswer: 1999803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.55 - 0.05. Let j = 3.5 - d. Suppose k = -2*k - 3. Which is the closest to k? (a) -0.1 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 10. Let q be u(-3). Let c be 4 - q\/(-2 + 4). Let w = c + 121. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*k - 188 + 5216 = 0, 0 = k + 4. Let l = 8685 + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19756331*0.4\nAnswer: -7902532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 - -413. Let c be n\/(-9) - 462\/(-189). Let -5*r**3 - 5*r**c - 5\/2*r - 5\/2*r**4 - 1\/2*r**5 - 1\/2 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) -5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1312 - 1315. Let j = -1 + 7. Put j, -5, w in decreasing order.\nAnswer: j, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - -11430205?\nAnswer: 11430103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 5*n**4\/24 - 7*n**3\/2 + 6*n**2. Let h be r(5). Factor -2\/9*y**h + 0 + 0*y**2 + 0*y - 2\/9*y**3.\nAnswer: -2*y**3*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558190 divided by -2?\nAnswer: 279095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143855325 rounded to 6 decimal places?\nAnswer: -0.014386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16825 = -5*v, 3*v - 3*o = 2*v + 3357. Let w = 4762 - v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k + 121*k + 68 = 180*k + 4*a, 3*a = -3*k + 1 - 13 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3652 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -6 + 2 + -1 + (11 - 3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**34\/((t**(3\/4)*t)\/(t**(2\/23)\/t)))\/((t**(-2))**(-40)\/(t*t*t**(-2))**(-50)) assuming t is positive.\nAnswer: t**(-46979\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 7*t**2 + 11*t + 6. Let o be m(8). Let y(i) = i + 39. What are the prime factors of y(o)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + 9*c**2 + 5*c + 5. Is i(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/45)\/((-30)\/135).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 667 - 665. Let o(c) be the second derivative of 0*c**3 + 0*c**5 - 1\/6*c**6 + 0*c**i + 0 - 2*c - 1\/3*c**4. Find the third derivative of o(f) wrt f.\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m + 6. Let y(j) = 4*j**3 - 38*j**2 - 3*j - 10. Give -2*w(s) - y(s).\nAnswer: -6*s**3 + 38*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2180 + 1083 + 1097 - 42*j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c + 1. Let j(w) = -w**3 - 2*w**2 - w + 2. Suppose -131*y = -123*y - 16. Determine y*d(u) - j(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + 0.1. Let d = -2.4 - -1.1. Let c = d + 0.9. What is the third smallest value in t, -0.3, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuauuuuuuuuuuvuuu?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -16. Suppose w*i - 3*i = 30. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 + -7. Let j = 0.2 - s. Let v = 1.897342 + 0.102658. Sort -1\/3, v, j.\nAnswer: -1\/3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 372*l + 156 - 50 + 57 - 3*l**2 + 162 = 0. Calculate l.\nAnswer: -125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384, 502, 620, 738, 856?\n\"Answer: 118*d + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.055 (c) 10\/9 (d) 2 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*g - 20. Let s be 3 + -1 + (-2)\/(-1). Let m(o) = 12 - 14 - s*o**2 + 2*o**3 - o + 7*o**2. What is m(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*a + 4*a - 15360. Calculate the remainder when a is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 477128 and 66941?\nAnswer: 437526376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3 + 2731808*k**2 + 234957676*k + 5051749048 = 0.\nAnswer: -43, 683038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 51 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -34*m - 294. Calculate b(9).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*k + 3*k, -5*k - 15 = -5*v. Suppose v*t - 335 = -5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -61. Suppose u = 2, r - 2*u - x = -10. Calculate the remainder when 50 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvxbnvvvvvxv. Give prob of picking 1 n and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 2*a - 20*a**2 - 14*a**2 - 4*a.\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547100 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205715 + 17*h**2 + 205715 - 10*h**2 + 12*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*v + 13, -3*k + 4*k - 7 = 4*v. Let a = k - 3. Let r = 10 + a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*y = 30, -15 + 33 = -3*y. Which is the closest to -1\/4? (a) -1 (b) 2 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)*((-45)\/(-5) + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202835897.\nAnswer: 11, 41, 79, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - p**3 - 3*p**3)*(3 - 3 - p - 3*p**2).\nAnswer: -6*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 10\/30*9 + -13\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and 93\/(-212) + 72\/96.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5063 times 0.78106?\nAnswer: 3954.50678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -2.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77) - sqrt(77))\/sqrt(7) + -1 + (0 + sqrt(176) + 1)**2.\nAnswer: 9*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 - -120.8. Let y = z - -17. Let l = -200\/3 + 66. What is the nearest to 0.1 in -0.3, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 5. Let d be y(-11). Solve -d = g - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4557789, -4557792, -4557795, -4557798?\n\"Answer: -3*f - 4557786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 49, -3, 2 in descending order.\nAnswer: 49, 16, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h - 384 = 97*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -2\/21, -3, 0, -3\/50, -28?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27027 and 171535.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, 3*f = -3*w + 5*w + 12. Let u = 34 + -18. What is the lowest common multiple of u and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 6\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.003425311 - -2.0034. What is n rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -137\/675?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 346*i**3 + 170*i**3 + 174*i**3 - 6*i**4 as n*i + t + v*i**3 + x*i**4 + z*i**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {f: 3, g: 1, t: 2, i: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4\/5 (b) -5 (c) 1 (d) -2\/15 (e) 1552\/431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 21*f + 24)*(4 - 1 - 6)*(0*f + 0*f - f**2).\nAnswer: 63*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9178)\/(5 - -8) + (-1 - 2). Let c = v - -709. Solve c = l - 3*m - m - 25, -5*m = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303452 is divided by 443.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186774 is divided by 2653?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127, -267, -429, -625, -867, -1167?\n\"Answer: -2*r**3 + r**2 - 129*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/12 - 2*r**3 - 336*r**2 + 2. Determine l(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**6\/20 + 3*q**5\/10 + 28*q - 22. Let l(w) be the first derivative of g(w). Let l(x) = 0. What is x?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125079 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.800271cm in micrometers?\nAnswer: 8002.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026.137143 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u + 3 - 28316*u**2 + 20750*u**2 + 7*u to the form n*u + s*u**2 + c and give s.\nAnswer: -7566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4004 - 4?\nAnswer: -4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*j**2 + 49*j**2 + 54*j**2 - 3 + 1 to p*j**2 + d + y*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 8*m - 8*m + 390 + 110 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2221 + 2224. Solve q - 8 = 4*a - 24, 3*q = 3*a - s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 36 (c) 26 (d) 8\/1555 (e) -1\/3 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.04\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/26)\/(10\/508). Let m = -9\/5 + q. What is the fourth smallest value in -5, 7, m, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -11. Let r(h) = -h + 1. Let o be r(s). Let w be (-4)\/o + 10\/6. Calculate the greatest common divisor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k + 7*k)*(149 - 298 + 77)*(4 - 5 - 1)*(3 - 5 + 0) to y + w*k and give w.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 78*a**3 - 21688*a**2 - 109258*a + 5660 = 0.\nAnswer: -5, 2\/39, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13157747 - 29?\nAnswer: 13157718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(1\/13)\/y)\/y)\/((y**(2\/33)*y)\/y))\/(y*y*y**(-2\/9)*y*y)**(-14) assuming y is positive.\nAnswer: y**(66802\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(q - q + 2*q)*(q**2 + 0*q**2 - 2*q**2)*(4*q - 6*q + q) as h*q**3 + j*q**4 + t + f*q**2 + p*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2402286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 4694 - 9394 + 4700.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - -35) + 2 - -15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.83 + -0.17. Let u = -12.6 - h. Let k = 490 - 488. Which is the fourth biggest value? (a) -2\/11 (b) u (c) k (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552071 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 2, 0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4*(2 - 11))\/(63\/(-168)). Suppose -k = -36*b + 33*b. Calculate the highest common factor of b and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3416 and 94\/6405.\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8714, 8719, 8724?\n\"Answer: 5*u + 8709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + p. Let v be c(-1). Suppose -g - 10 = -2*g. Let q = g - 6. Solve -t + x + x = -q, -v*t + 4*x = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -4, -151, -11 in descending order.\nAnswer: -4, -11, -130, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11 = -43. Suppose u = 4*r + l, 2*l = 5*r - 23 + 2. Calculate the highest common factor of r and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 762 - 761. Which is smaller: l or 36\/619?\nAnswer: 36\/619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7069 is divided by 1756?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 10) to base 2\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 42. Suppose -d = -y*n + 2*n - 1269480, -3*d - 4*n + 3808442 = 0. Let x = d - 869482. Round x to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -9?\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253832189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*r**5 - 90*r**4 + r**3 + 5892*r**2 + 19.\nAnswer: 1740*r**2 - 2160*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 294*g - 295*g. Solve -6*p + g*p = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5972*z = -5969*z - 51 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:42 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (-20)\/(-4)) + (35 - -2). Suppose -44*n + 320 = -r*n. Solve 0*c = c + 4*x + 15, -4*x - n = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-313044)\/5492)\/((30\/4)\/5)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - 1) - (-22 + -5 + 19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57359190 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pay when three letters picked without replacement from pppppayppyppapppy.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3 + 18 = 0. Let s be (-4)\/(-14) - 948\/(-14). Suppose -4*w + 1320 = -r*a, -2*w + s + 592 = 4*a. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose -a = -2*w, -a + 4*w - 3 = -1. Suppose g = c - 10, a*g + 50 = c + d*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7)\/((-140)\/1485))\/(9\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2004 - 1184. List the prime factors of v.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.92281 + -9.91681033. Let z = -37.994 - -38. Let s = v - z. Round s to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -4. Let q(y) = 7*y - 5. Let m(z) = z - 1. Let j(f) = 6*m(f) - q(f). Let c(i) = -i**2 - 2*i - 2. Determine h*c(u) + 4*j(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - c + 307, 30*c = 2*u + 32*c + 186. Put u, -3, -7, -5 in ascending order.\nAnswer: u, -7, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800553366.\nAnswer: 2, 3, 1997, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h**(-6))**(-2\/13)\/(h*h**(2\/9)*h*h*h**(2\/9)*(h\/h**1)**(-1\/6)) assuming h is positive.\nAnswer: h**(-565\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00504334614 to 6 dps.\nAnswer: 0.005043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.01 (b) -2\/7 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 1828836*l + 12801950.\nAnswer: -2*(l - 7)*(l + 914425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g**2 + g + 1. Let s(n) = -n**3 - 2*n**2 + n + 2. What is -5*o(a) + s(a)?\nAnswer: 4*a**3 + 3*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-21))\/((-12)\/108)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (2 + 1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 58. Let z(q) = 12*q - 667. Let n(m) = -23*i(m) + 2*z(m). Let h(x) = -x**2 - 4*x**2 + 6*x**2. Calculate n(h(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 368, 377, 386, 395, 404, 413?\n\"Answer: 9*q + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 - 72*p - 197. What is b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(7)*4 + -1 + (-3 + sqrt(448)*2 - sqrt(448)))*3)**2.\nAnswer: -2016*sqrt(7) + 49536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let k be u(3). Suppose 3*w - 30 = -o, 5*o - w + k*w = 122. Let z be 80\/o + 2\/3. Solve -a - z*a = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) -0.048 (c) 11710 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 6.5\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -217876621 divided by 103?\nAnswer: -2115307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -25030.081 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 4 + 5 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.504484 less than -0.5?\nAnswer: -395.004484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + a - 14, -6*a - 1 = -3*b - 2*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**3 + 119*l**2 + 13*l + 42. What is b(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**5 + 1138*r**4 - 3180*r**3 + 1454*r**2 + 580*r = 0. Calculate r.\nAnswer: -145, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 (base 13) in base 10?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -0.65, 3\/4, 162?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -4*p + 4*a + 36, -4*p - 2*a = 168. Suppose -36 = 3*r + 2*x, 2 = -2*x + 8. Calculate the common denominator of (-4 - -4) + p\/r and 93\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -516 and 0.167255.\nAnswer: -86.30358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g**3 - g**2 + 2*g - 1. Let k(h) = -h**3 - 3*h**2 - h + 3. Let v be k(-2). Let c be b(v). Solve 0 = z - 6*z - c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-30) + (-19)\/6. Let m(q) = -12*q + 0 + 3 - 2. Let u(w) = 11*w - 2. Let r(k) = 2*m(k) + 3*u(k). Let f(n) = 4*n - 2. Give a*r(y) + 7*f(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -264*x**2 - 3. Let s(c) = 793*c**2 + 10. Determine 7*n(m) + 2*s(m).\nAnswer: -262*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(704)*2*3 - sqrt(704)) + sqrt(704))\/(sqrt(256) + 4*((sqrt(256) - sqrt(256)*-1) + sqrt(256)) - sqrt(256)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let h(z) = 4*z**2 - 14. Let m(o) = -4*o**2 + 13. Let n(y) = 4*h(y) + 5*m(y). Let s(u) be the first derivative of n(u). Determine s(t(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7514 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b - 8 + 8)*(-2*b + 0*b + 3*b)*(3*b - 3*b + b) as l*b**2 + f + u*b + a*b**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 102\/66 + 24\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (1*sqrt(204) - sqrt(204))*5)\/sqrt(12).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*d**3 + 8*d**2 - 1997*d wrt d.\nAnswer: 96*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-12)*2\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*r - 4, -49*i + 45*i - 2*r + 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353 - 359. Let j be 4\/b*(-22 + 19). Find o, given that -4\/7*o**j + 1\/7*o**5 + 0 + 6\/7*o**3 - 4\/7*o**4 + 1\/7*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-75))\/((-1)\/(-3))*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/5*68\/12. Let w = 24 - s. Let j be 6*((-4)\/8 + 1). Solve -j = -5*a + w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by -5.\nAnswer: 234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5*i**4\/24 - i**3 - 20*i**2 - 58. Let v(c) be the second derivative of g(c). Give v(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -15 (b) 9 (c) 34 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79269*j**3 - 38890*j**3 - 39655*j**3.\nAnswer: 724*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-3)\/18*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -27*h**3 - 3*h**2 - 11*h. Let i(g) = -9*g**3 - g**2 - 4*g. Calculate -11*i(k) + 4*t(k).\nAnswer: -9*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.38 - -32. Let g = -0.02 + n. Let u = 0.4 + g. Which is the biggest value? (a) 2 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3)\/(-4 - (-8)\/4). Is 128871\/12 + v\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-6)\/n)\/n)*n*n\/((n**6\/n)\/n))**(-3\/11)\/(((n*n**3)\/(n*n**(-2\/5)\/n))\/(n**1)**(-4\/23)) assuming n is positive.\nAnswer: n**(-8201\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {y: 4, i: 4, j: 7}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -305*p**4\/24 - 6*p**2. Let r(x) = -2*x**2. Calculate r(y(q)).\nAnswer: -186050*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83144651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347353 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -3. Let r be (2 + w)*1 - -3. Suppose -r*z - 32 = -2*n, z = -2*n - 2*z - 3. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**46)**(-10)\/((v**(2\/7))**(-1\/29))**(-50) assuming v is positive.\nAnswer: v**(-23445\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-79770)\/150 + (-6)\/5. Let c = 1106 + n. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a9 + a?\nAnswer: 6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/3*3 + 13 and (-8)\/60 - (-302)\/15?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Let o = p - 7. Let t = 8 - 7.9. Which is the nearest to -0.1? (a) t (b) 3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.0301, 3, -0.1, -136?\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53842894 by -2.\nAnswer: -26921447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29983 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - 0) - (7 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) + 8 + 1062 + -868. Calculate the greatest common divisor of 931 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1359 and -16\/27689625.\nAnswer: 27689625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-2 - (-10 + 0)) + 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2668 + -2669. Sort 3, 5, 6, g, 15 in increasing order.\nAnswer: g, 3, 5, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89234591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 5. Suppose -u = -2*u - 6. Let b be r(u). Does 5 divide 37\/b - (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkekhhhnen. Give prob of sequence eke.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, -6, -2\/13.\nAnswer: -6, -4, -2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*i + 21 = -13, -3*t + 5*i = 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/(1 - 0). Which is the nearest to z? (a) 1\/6 (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:00 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877*f + 4*v - 58 = -1880*f, -2*v + 44 = 3*f. Let m(j) = 12*j - 4. Let z be m(4). Let i = z - 17. What is the remainder when i is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 155857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -0*d + d + 17*z - 81, -3*d - 10*z - 862 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 - 0.8. Suppose -12 = -5*j + 3. Suppose 9*z - 12 + j = 0. What is the biggest value in z, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140913.\nAnswer: 3, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = 3*j + 23. Let w = j - 78. Let n(v) = -5*v - 6. Let s(c) = -c - 1. Let i(a) = -n(a) + 6*s(a). Determine i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 + 99*n**2 - 629*n + 39. Give t(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:02 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517537532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by -1.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 113*b. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + r + 229, 2*r = -2*r + 8. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 67.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -557416 (base 8) to base 16\nAnswer: -2df0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjzjjjjjjjjjjjjjjj?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.3196mg in tonnes?\nAnswer: 0.0000004803196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/195 and 47\/40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from hysyshhhs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + 28*q - 53. Calculate g(-8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4500 - -4501. Let n(i) = -4*i**2 + 6*i. Determine n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 4*r - 3. Let f be ((-1)\/3)\/(1\/(-6)). Calculate the remainder when 37 is divided by g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -3217.171?\nAnswer: -122252.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 8*k**2 - 7*k + 17. Let d be m(8). Let z(o) = -o**2 - 46*o + 68. What is the tens digit of z(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200699625.\nAnswer: 3, 5, 7, 101, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 + 394. Suppose -1018 - 1994 = -4*v + k, m = -4*k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -5, -27.3, 53, -0.2 in descending order.\nAnswer: 53, 4\/9, -0.2, -5, -27.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 - 10315966?\nAnswer: -10315835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 943903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 890, 1334, 1778, 2222, 2666?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*y - 4*r, -2*y + 14 = -5*r - 27. Let x = 39 - y. Solve -x = 3*t - 4*b, -3*b = -2*t + b - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 1. Let y(j) = 6*j + 0*j - h*j - 4 - 2*j. Calculate y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.3. Let f = -357\/4 + 90. What is the biggest value in 5, p, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405244?\nAnswer: 2, 7, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/24726 and -115\/402.\nAnswer: 1656642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to -0.00226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 57?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*h - 59 + 183, -4*r + 8 = 0. What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05584 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 7. Suppose 27 = i*t - 0*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 103 = 105. Solve n - q = -m, -4*n = 2*m - 0*m - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b + 2450 = 339*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 11*r**3 - 70.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 89. Let p(r) = 2*r - l*r + r - 2*r**2. Let u(h) = 2*h**2 + 2*h. What is p(u(n))?\nAnswer: -8*n**4 - 16*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -254\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -134, -140, 5, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85214 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 90\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3, 641, 2287?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/561 and -143\/56228928.\nAnswer: 618518208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - c - 52, -4*n + 32 = -3*n - 5*c. Let q(i) = -i**2 + 10*i + 20. Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -75.\nAnswer: 19\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -2, -17, -48, -101?\n\"Answer: -o**3 + o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107623\/3 equal to 35875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97261559 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + d**2 + 6*d + 10. Let t be v(-4). Calculate the greatest common factor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1335386521 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w - 45. Calculate h(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**6\/195 + 3*t**5\/130 - 2*t - 1. Factor r(l).\nAnswer: -2*l**3*(l - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 43014*w**2\/7 + 231210990*w\/7 + 694020150\/7.\nAnswer: 2*(w - 10755)**2*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -955*y - 15\/2*y**3 - 335\/2*y**2 - 300 = 0. What is y?\nAnswer: -12, -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 236581054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -418*k**2 - k. Let n(p) = p**2. Determine n(t(o)).\nAnswer: 174724*o**4 + 836*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6*27\/(-2). Let b(i) = 3*i**2 - 2*i + 4. Let n be b(3). Let y = n + w. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*(-8)\/(-396) - 23967\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 1361064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7529278\/11 < -684481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 591*y**3 - 247*y**3 + 0 + 796*y**3.\nAnswer: 1140*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 8*s - 8. Let f be r(-6). Sort 3, f, -9 in descending order.\nAnswer: f, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5.4, -2\/9, -4, -116, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/8)*s*(s*s*s*s**1*s)\/s*(s**(-1\/3))**(4\/9) assuming s is positive.\nAnswer: s**(1021\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38182 and 1244944?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**8\/20160 + 5*k**6\/144 - k**5\/15 + 28*k**2. Let o(j) be the third derivative of i(j). Differentiate o(s) with respect to s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/174*165\/110.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = -3*f, -3*w - 2*f + 44 = -3*f. Suppose 249*i - 2*m = 250*i - 64, m = -3*i + 202. Calculate the least common multiple of w and i.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10424, 39867, 88340, 155843?\nAnswer: 242376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - -5. Which is greater: j or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 2*i**2 - 1. Suppose 0 + 2 = 2*o. Let g be r(o). Suppose -3*v + a + 10 = 0, -v - 5*a - 10 = g*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42 and -31\/13785.\nAnswer: 192990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*w**(-7)\/w*(w\/w**(1\/6))\/w*w*w**(-2\/7)\/w*w)\/((w**(1\/4))**(-6\/17)*w**(-2)*w\/(w*w**(-2\/5))) assuming w is positive.\nAnswer: w**(-8504\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15, -4*y + 32 = -y - 4*c. Find the third derivative of i**4 - 6*i**2 + 5*i**2 + 0*i**4 - 5*i**y wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 10 = 2*x + 5*c, 5*c - 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 4, u: 2, x: 2}. Give prob of sequence vu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k + 8*k - 0*k - 6*k. Let d = -4.3 + 0.3. Let g = d + 5. Which is the closest to k? (a) 2\/37 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 5. Let r(p) = -p - 1. Suppose 0 = 6*w - 2 - 16. Let q be (3 - (w - 0)) + -1. What is q*f(c) - 4*r(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1272*m**5 + 30648*m**2 - 8944*m - 202 wrt m.\nAnswer: -25440*m**3 + 61296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t - 3. Let y be (1 + 1 - 2)\/(-2). Let c be 1*2 + (-3 - y). Do c and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -18 - (7 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 26, 32, 26, 2, -46, -124?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 989.07829 + 4825.\nAnswer: 5814.07829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 4. Let h = o + -8. Differentiate -11*b + h + 9*b + 5*b with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 201. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 10:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 11*i**2 + i - 3. Suppose -4*g = -4*x + 40, 5*g + 7 - 1 = x. Determine l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t**3 - 6634*t**2 + 208*t + 2947 wrt t.\nAnswer: -60*t - 13268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2 - 0. Suppose -3*f = -8*f + 2*x + 18, 3*f = -2*x - j. Let q(y) = -f + 44*y**2 - 60*y**2 + 2. Let i(n) = 2*n**2. Determine i(q(m)).\nAnswer: 512*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/3470 and -45\/8.\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 23. Are 7 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynvjbvvybysnsynnyyyn. What is prob of picking 1 y and 1 n?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, e: 2, l: 4, z: 1, b: 5}. Give prob of sequence elbe.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 0.24 (c) -787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3 = -3*l, 7*g - l = 4*g - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 24*g + 29. Suppose -59*d - 666 = 289 + 402. Determine a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 482 = 4*a, 5*a - 368 - 273 = 3*w. Solve a*j + 24 = 128*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (-2 + sqrt(171) + -3 - sqrt(171)) - sqrt(171) - -2*sqrt(171)*-4)**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*g + 5*s, -g - 89*s = -88*s - 6. Let x(v) = -7*v - 3*v - 5 + 4. Calculate x(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4040121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(6*f - 7*f + 4 + 3*f).\nAnswer: -4*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*c = -8*z - 47, -3*c - 1 + 6 = -5*z - 4*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4030 and 151\/30?\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**4 + 3208359*l**3 - 26735647*l**2 - 18893219*l - 3208284 = 0. Calculate l.\nAnswer: -1\/3, 9, 356476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 226 = -2*l, 2*l = -j + 6*l + 88. Suppose -p - 97 = -w, 1 = -3*p + 5*w - 280. Let u = j + p. What is the least common multiple of u and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 1101 - 18*s + 4*s.\nAnswer: -14*s + 1152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 25482252.\nAnswer: 76446756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 25444510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**2 + 84*l - 62*l - 22*l.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 - -581. Suppose -50*y + 14737 = 13737. What is the greatest common divisor of r and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124154 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t + t - 4*c, 3*t = -c + 11. Suppose -2*j + 4*h + 18 = -t, h = -j - 1. Calculate the least common multiple of 3 + -1 + -2 - -6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 = -3*h, 2*h = 2*b - 4*b + 10. Suppose h*p = 4*p. Put p, -3, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.90093km to millimeters.\nAnswer: 32900930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 280 + 1 + (-4 - -2). What is the units digit of 4\/8 - d\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98231*w - 16*w**2 - 1 - 20*w**2 - 98228*w + 2*w**3)*(6 - 6 + 5) to c + n*w**2 + g*w**3 + x*w and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2714 + -401. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*x - 26, 0 = 4*h - 8*x - 37 - 15 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3, -4*z = -3*k - z + 27. Let d = k + 1. Solve -d + 21 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -35, 26, 143, 334, 617?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g. Let t(v) = -2*v**3 + v**2 - v + 1. Let r be t(1). Let k be r\/(-4) + 18\/(-8). Is m(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 + 4*k + 19. Let s be y(-6). Which is the nearest to 1? (a) 0.3 (b) -2\/11 (c) 0.034 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v**5\/7 - 1528*v**4\/7 - 30068*v**3\/7 - 223824*v**2\/7 - 598896*v\/7 - 29376 = 0.\nAnswer: -51, -12, -7, -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1585 - 6151. Let c be 4\/6*j\/(-4). Let g = 1381 - c. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(147\/6) + 842952\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.082 + 0.018. Let u = -4521 - -4518.989. Let d = j + u. What is d rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-6))\/((-1)\/3). Suppose 5*i - l - 5 = 0. Let d = -0.0045 + -0.0955. Which is the biggest value? (a) i (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 15*h**2 + 40*h + 345. Let a be k(-12). Sort a, -1\/5, -1\/3.\nAnswer: -1\/3, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 289\/(-51)*(-1 + -2). Suppose q = -3*q + 5*c + 41, -a = -3*q + c. Solve -2 = m, -q = -4*v - 5*m + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-980))\/(3 - (-3)\/(-21))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 2861*u + 239717. Calculate h(81).\nAnswer: 1415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 4*r + 34 = 58. Let p = r - 11. Sort p, u, -4.\nAnswer: p, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 28. Calculate the remainder when 111 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 7*b + 3. Calculate s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 5*f**2 + 4*f**2 - 5 + 2*f**2 - 5. Let p be b(-10). What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcj when four letters picked without replacement from oepeooocjjepej?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let i(g) = -8*g - 20. Let s(v) = i(v) - l(v). Let t(u) = 106*u - 40. Let w(c) = -138*c + 52. Let p(y) = -13*t(y) - 10*w(y). Calculate s(p(z)).\nAnswer: -18*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 - -2) + 0)\/(-6). Suppose 3*n + n + 3*m - 7 = 0, -n + 2*m - 1 = 0. Is n smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/((-18)\/3) - (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v = 141 + 2029. What is the smallest common multiple of 56 and v?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 30 = -6*i. Suppose 10 = -j + i*j. Suppose -f = -2*w - 11, 5*f + j*w - 10 = 69. What is the remainder when 42 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*n = -540*n + 263*n - 2*s + 14, -9*s + 23 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279*y**3 - 947*y**2 + 451*y**2 + 507*y**2)*(29*y - 3 + 1 - 13*y) to the form v*y + a*y**2 + f*y**4 + m*y**3 + b and give f.\nAnswer: -4464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 10. Let p = 39 - 34. Is z(p) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 399\/4. What is the common denominator of h and -40\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 - 6036)*(-4)\/12 - 5. What is the highest common factor of 384 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*((-7983)\/105 + 76)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8034748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - -0.17. Let k = -0.18 - -0.19. Sort k, u, -5 in increasing order.\nAnswer: -5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Suppose 23 = 5*c + j, -q*j = -3*c - j + 23. Suppose -5*v + 35 = c. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 77482?\nAnswer: 7747c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 42, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (7 + -2 - (-15 + -10))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-4)*t)\/t)\/t**(-12)*(t\/t**(2\/5)*t)**(2\/67) assuming t is positive.\nAnswer: t**(3031\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 8*c**2 - 6*c + 5. Suppose -3*a + 54 = 51. Let n(v) = v. Let s(z) = a*l(z) - n(z). Calculate s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.2, 5, 2\/11, 1\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(3*c - 3*c - 3*c**2) + (14*c + 5*c + 7*c)*(-3*c + c + 5*c).\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 120, 131, 156, 201, 272, 375, 516?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + 20. Suppose -2*t + n*t = 316. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 95 = 5*u + r, 0 = 5*u + 4*r - 100. What are the prime factors of (12\/u)\/(6\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 4, -5 in ascending order.\nAnswer: -5, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -693335.09 and -6134.\nAnswer: -699469.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722, -595, -418, -221, -34, 113, 190?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1343.679m?\nAnswer: 1.343679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 3*r. Let k be 1 - (11 + 0\/r). Let w(h) = h**2 + 7*h + 3. Does 12 divide w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -85*l + 235. Does 44 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953.263 - 162?\nAnswer: -2115.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + sqrt(2299))**2 - sqrt(19)).\nAnswer: -67*sqrt(19) + 2307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-2)\/4)\/((-115)\/(-46))). Let d be (5\/5)\/(1\/(-5)). Put -3, d, s, 21 in increasing order.\nAnswer: d, -3, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 2 v when four letters picked without replacement from vwggbvgvbvvlvgbbkwvv.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 159*l**2 - 98*l - 3. Let y(x) = 3*x**2. Give d(y(t)).\nAnswer: 1431*t**4 - 294*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781.1514 nanoseconds to milliseconds.\nAnswer: 0.0007811514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*v - 245*v - 168 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1895 - 41677\/22. Let o = n + 61\/55. Find the common denominator of o and -59\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(3\/3 + -2). Suppose 0 = r*x + 3*p + 4, -x + 4*p - 2*p + 7 = 0. What is the third biggest value in 0.1, 4, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343310291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let o(j) be the first derivative of 4 - j**3 + 0*j - 1\/60*j**5 + 0*j**2 + 0*j**4. Let q(h) be the third derivative of o(h). Give q(x(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -28, -36, -44, -52, -60?\n\"Answer: -8*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*i + 14, -u + 0*i = -i - 4. Sort -0.4, -0.9, u in descending order.\nAnswer: u, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-9*u + 9*u + 4*u**2) + 3*u**2 + 0*u**2 - 2*u**2)*(0*u**3 - 2*u**3 + 0*u**3).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2\/(8\/(-28)). List the prime factors of 118\/t + (-9)\/(-45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 37. Let s be x(7). Let p be s\/((-6)\/(11 - 5)). Solve -4*i + 2 = -k - p, 0 = 4*k - 5*i + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 divided by -3?\nAnswer: -845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -i - 9, 3*i - 2 - 7 = -3*a. Suppose -4*t + 15 = 5*b, 6*b - b = -3*t + 15. Solve 0 = -a*u - t*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 4*m**2 + m + 7. Calculate the remainder when 97 is divided by w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/30 - 3*y**2. Let b(f) be the first derivative of f**2\/2 + 3. Determine b(z(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44030645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z + z)*(-124 + 440 - 56).\nAnswer: -520*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*-5)\/(sqrt(10) + sqrt(40)\/(sqrt(8)\/sqrt(2))) - (-2*(sqrt(343) + 1 + (0 + sqrt(7))*-3)*-4)**2.\nAnswer: -7232 - 517*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let q be (-19)\/4 + 1\/(-4). Let c = -1 - q. Is j > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1 + 0 + 3). Suppose -p*s = -2*s. Let y(j) = -j**3 + 3*j**2 + 4*j + 2. Let n be y(4). Solve n*c = -s*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979643 divided by -44?\nAnswer: -1979643\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 17. Suppose -6 = 4*z - 2*z, -75 = -4*a + z. What is the greatest common factor of u and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/8 - 16*w + 512 = 0. Calculate w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880) - sqrt(55))*-6*6)\/(sqrt(132)\/(sqrt(12) + sqrt(432) + sqrt(432) + (sqrt(432) - 1*sqrt(432)) + sqrt(432))).\nAnswer: -2052*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979363341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1365*v**2. Let x(d) = 322*d. Give x(w(o)).\nAnswer: -439530*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**3 + 5*k**2 + 7*k - 16. Let u(d) = -d**3 - 2*d + 3. Let t(g) = -2*l(g) - 14*u(g). Let r(y) = y**2 - y + 1. What is -10*r(a) - t(a)?\nAnswer: 4*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 705 + -704.85. What is the second smallest value in -2\/5, -5\/3, d, 2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35993*t + 35997*t + 16, -2*o - t - 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 301?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 863.6507 millennia?\nAnswer: 863650.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 155*u**2 - 2*u - 4. Let g(j) = 3410*j**2 - 45*j - 90. Let r(y) = -45*f(y) + 2*g(y). Let d(p) = 10*p. Determine r(d(h)).\nAnswer: -15500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - (0 + 1)) - (-18 - -27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 43171164\/7930 + 2\/(-65). Which is greater: 0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyylyyylloyyloyo. What is prob of picking 1 o, 2 y, and 1 l?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-21 - 9) + 4136\/132)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -7, 0.3, 256.2?\nAnswer: 256.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3. Let u(v) = -4*v**2 - 13. Let w(y) = -26*j(y) + 6*u(y). Let m(s) = -38*s - 1. Give w(m(x)).\nAnswer: 2888*x**2 + 152*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 151 = -4*r, -2*r + 5 + 48 = s. Let v be ((-30)\/27)\/(399\/s). Let h = -1\/57 + v. What is the common denominator of -69\/2 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 1543, 2473, 3447, 4465, 5527, 6633?\nAnswer: 7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 115.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/(-3))*(-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7756880 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2206, 320 in decreasing order.\nAnswer: 320, -4, -2206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 2*g + 5*g. What is the first derivative of -74*z**3 + g + 26 - 8 wrt z?\nAnswer: -222*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12) - (-87)\/18*1. Suppose 2*n = v*a - 26, -5*a + 3*n + 7 + 17 = 0. Is -16*200\/(-18) - a\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, -0.1, 23.485 in descending order.\nAnswer: 138, 23.485, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(2*n**4 + 3*n**3 - 3*n**3) + n**4 + 2*n**2 - 2*n**2 + 30*n**4 + 44*n**4 + 0*n**4 + (2*n**4 + 2*n**3 - 2*n**3)*(-3 - 3 + 4) - n**4 - 3 + 3.\nAnswer: 74*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/55 and 53\/803?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 1, e: 2, k: 4, g: 2, v: 4}. What is prob of sequence vhkv?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595345071 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9650*g*v**3 + g*v**2 + 4*g*v - 1110*g - 11*v**3 + 4*v wrt v.\nAnswer: 57900*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.66 + 0.34. What is the second smallest value in n, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432)\/sqrt(2))\/(-4*sqrt(12)).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(1076*f**4 - 1463*f**4 + 1653*f**4).\nAnswer: 1266*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k. Suppose 2*v + 6 = 5*v, -w - 3*v + 9 = k. Find the second derivative of -2*f + w*f**3 - 4*f**3 + 5*f**3 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-16 - 1) + 19 + (1 - 0) - -84?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from yoygyaogydyog.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 698849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24125, 24138, 24141, 24128, 24093, 24030, 23933?\n\"Answer: -o**3 + o**2 + 17*o + 24108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*36\/15*9\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 112*x - 2. Let q be y(-1). Let g be ((-4)\/3)\/2*q. Let k = g + -19. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1480 = -164. Does 47 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - 1\/3. Let n be -30*4\/8*q. Let t be n\/(-30)*(-1)\/2. Which is the nearest to t? (a) -0.4 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 13*c - 19. Let r be h(15). Suppose -705 = -r*l + 648. List the prime factors of l.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/(6\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t - 2. Suppose 0 = -t*n + n + 440. Suppose 65 = -5*s + n. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.51 and 0.024.\nAnswer: 2.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 c when four letters picked without replacement from ooococlclll?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/218 (b) -6 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-63)*-5)\/(6\/27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17153 is divided by 742.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205038?\nAnswer: 2, 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3 - 71*f**2 - 252*f?\nAnswer: 18*f - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324058 to the power of 1\/2, to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5 + 12*g**4 - 740*g**3 - 760*g**2 + 738*g + 748 = 0.\nAnswer: -22, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357909691?\nAnswer: 509, 2667799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 divided by -4?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -20 - 28 - (1 - -55)) + 16 + -2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -453924*-0.2343\nAnswer: 106354.3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpnf when four letters picked without replacement from ottnorrrfopo?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 625263\/50 - 12504. What is the common denominator of -87\/16 and x?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1888628337 to 5 dps.\nAnswer: 0.18886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.86634 micrometers to meters.\nAnswer: 0.00009186634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*1*(-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-10)\/22)*(-14)\/(-14)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -31. Let y be 2\/6*12\/(-7). Which is the nearest to 2\/3? (a) y (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2401930, -4803822, -7205714?\n\"Answer: -2401892*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:09 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*1 + 2*(sqrt(325))**2.\nAnswer: sqrt(13) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 7*b + 14 - 5*b. Let s be o(-13). Is s equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-126))\/(-4 + 3 - 198\/(-126)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 12*x + 12 = 0. Suppose -3*p - 7 + 36 = -2*m, -44 = -x*p + 4*m. Let d = 23 + -27. Put d, -1, p in increasing order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 57. Is 10 a factor of ((-15)\/(-10))\/(6\/k)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 4, 14, 2, 3 in decreasing order.\nAnswer: 14, 4, 3, 2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.81 + 3.19. Let j = o - 35. Put j, -4, -12 in descending order.\nAnswer: j, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4 + 5800*j**3 + 17374*j**2 - 23176*j = 0.\nAnswer: -2897, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32875*r + 756132. Give l(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 880 - -160b?\nAnswer: 208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -137. Put -2\/15, -4, 13, p in increasing order.\nAnswer: -4, p, -2\/15, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200130 and 28590?\nAnswer: 200130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4182676.\nAnswer: 8365352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -4*c, 4*c = 5*n - 7 - 6. Solve 0 + 0*k + 1\/2*k**c - 1\/2*k**4 + k**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s)**29\/(s**7)**(-17) assuming s is positive.\nAnswer: s**554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -31. Let q = 133 - 91. Let x = q + b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1331880 and 1896.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 51 = -4*o + 53, 3*f - 32 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/9)*(-48)\/24\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 47*s + 157167 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 3, i: 6}. Give prob of sequence ixxx.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-52)\/104 - (-1)\/((-4)\/(-258)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-4 - (sqrt(12) - (sqrt(72) - sqrt(72)*-2)\/sqrt(6))\/sqrt(6))*4.\nAnswer: -136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.1 not equal to 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2456\/3 + -831. Find the common denominator of 41\/24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 886 - 354. Calculate the greatest common divisor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/25759452 and -43\/25509.\nAnswer: 283353972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528669178\/2268 + 1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1596603 - -1.3\nAnswer: -1596601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 + 8 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -273*s**3 - 6826*s**2 - 20*s + 46. What is q(-25)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ac48 (base 16) to base 2.\nAnswer: -100111010110001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776 = 95*z - 652 - 92 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01651811984 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239*h*k*n**3 - h*k*n**2 - h*k*n - h*n**3 - 3*h*n**2 + 2*k*n**3 - k*n + 8*n**2 wrt n?\nAnswer: -1434*h*k - 6*h + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568766?\nAnswer: 2, 3, 47, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344083806 - 5*g - 344083806 - 5*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 5*z**2 - 4*z - 3. Let y(i) = i**3 + 4*i**2 - 4*i + 2. Let d be y(-5). Let x be v(d). Calculate the greatest common factor of x and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254.345339 + 0.1\nAnswer: -254.245339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c - 5. Let b(g) = -33*g + 21. Calculate 2*b(x) + 9*m(x).\nAnswer: 6*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -191 + 297*r**2 + 191 + (-5 + 2*r + 5)*(-6*r + 6 - 6).\nAnswer: 285*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -309482 * 0.272\nAnswer: -84179.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/3 + 1000*c\/3 = 0.\nAnswer: 0, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34807232\/105 + -331529. Let f be (-15884)\/1155 - 8 - 4\/(-5). Let x = k - f. Calculate the common denominator of -9 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -3\/7, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 0, -2 in decreasing order.\nAnswer: 12, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 31. Let a(q) be the first derivative of 2*q**3\/3 - 33. What is a(f(s))?\nAnswer: 8*s**4 + 248*s**2 + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21 (b) 3 (c) 0.12 (d) 0 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + k - 4. What is d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173 and 9694.\nAnswer: 1677062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4988971 is divided by 346?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67\/7 - -905\/77. Find j, given that -2\/11*j**2 + 26\/11*j - n = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/15)\/(1729\/(-95) + 19\/((-266)\/(-252))).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -39) + 5 + -15 + 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 16. What are the prime factors of 4*((-393)\/i)\/3?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.40997 + 146\nAnswer: 144.59003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 9*q**3 - 71*q**2 + 78*q**2.\nAnswer: 7*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-20943478348495\nAnswer: -20943478348494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 3*m + 5*m**2 - 2*m**2 - 2*m to u*m + y*m**2 + b and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-240)*3008\/5828.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20*(-7)\/56 - (-5031)\/2.\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x - 2*x**5 + 4*x + (10*x - 3*x - x)*(0*x**2 + 0*x**2 - x**4) + x**5 + 3*x**5 - 6*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) -262 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Let r = -0.029 - -0.229. Is r greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48182167 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (3 - ((5 - -1) + -7 + 9)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 8. Let w be (8\/8)\/(1\/19). Let c = -13 + w. Give r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11068358.9000003 - -11068342.9. Let h = 16 + d. What is h rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55714876 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve y - 49 = 3*k, 213136*y + 5*k + 81 = 213138*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*l + 56*l + 55*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z + 15*z = -208*z + 148500. What is the remainder when z is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185\/2 - -1941\/22. Calculate the common denominator of x and -38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1258*w**4 + 187*w**3 + 9*w**2 - 142920172*w wrt w?\nAnswer: 15096*w**2 + 1122*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-9))\/((-6)\/(-81)). Does 17 divide (n\/7)\/((-2)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f - 39 = 0. Let y = 9 + f. Is 2\/y + 366\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 36. Let p be (r\/(-21))\/(5\/6). Solve -u - p*u - 15 = 0, u = -2*y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 3 - 11) + (-9)\/(-4)*2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113988000 rounded to the nearest 1000000?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 11:13 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288 divided by 644.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 202. Which is the closest to -2? (a) l (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 385, 383, 381, 379?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 16, -4*a = 4*h - 66704. Let w = a - 199949\/12. What is the common denominator of 31\/98 and w?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -4, -21, 74109?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*z - 5*b - 17, 3*b = -3*z + 51. Let n be -6*(3 + (-65)\/z). Sort n, -1, -2\/7 in descending order.\nAnswer: n, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426 + 57*q**2 + 426.\nAnswer: 57*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 10*d**2 + 3*d + 26. Let o be r(9). Let i = 85 + o. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 31*j**2 + 16*j + 32. What is the remainder when 190 is divided by n(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -4, -1.\nAnswer: -12, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l + l**3 + (-35*l - 28*l + 55*l)*(2*l**2 - 4*l**2 + 0*l**2))*(5 + 1 + 3) as i*l**3 + v*l**2 + k + o*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 - 8*z - 1. Calculate v(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 626 (b) 16.7 (c) -5 (d) 5 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let t = 1\/130 + 383\/910. Which is the closest to 0? (a) 1 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135940, 136346, 136752, 137158, 137564?\nAnswer: 137970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42240*q**3 - 17990?\nAnswer: -126720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060673 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 4, m: 7, v: 3, h: 1}. What is prob of sequence tvm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-3)\/15*-25. Let v(w) = w**2 - 12*w + 20. Let r be v(p). Put 1, r, -1 in increasing order.\nAnswer: -1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, u: 3}. What is prob of picking 2 v and 1 u?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31288051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428603000 rounded to the nearest 100000?\nAnswer: 428600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-170)*-10)\/(1*-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2108268 and 1112697?\nAnswer: 40057092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - 8*o. Let f be (3 - -6)\/3 - 7. Put o, f, -1 in increasing order.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2955 = 3*o, -4*o + 1536 - 6462 = -5*q. Calculate the highest common divisor of q and 1334.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1450 = g - 0*s - 4*s, 5*s - 5 = 0. Let c be 18\/(-30) + g\/(-10). Suppose -c = -7*r + r. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408154 divided by -2?\nAnswer: 204077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/16214 + -1293764\/753951. Let v = y - -3\/62. Let u = 563\/6 + -94. Which is the closest to v? (a) u (b) 4\/5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3336?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*a*n**4 + 19*a*n - 33*a - 133 with respect to n.\nAnswer: 540*a*n**3 + 19*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35184 and 6744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 261\/7 (b) 0.4 (c) 0.2 (d) 36 (e) -1\/7 (f) -29\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*w**3 - 2*g**3*w**3 - 409*g**3 + 121*g**2*w**3 + g**2*w**2 + 7*g*w + w**2 wrt g.\nAnswer: -48*g*w**3 - 12*w**3 - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7023 divided by -3648.\nAnswer: -2341\/1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 197278, 197331, 197384, 197437?\n\"Answer: 53*c + 197225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19b31 - 1?\nAnswer: 19b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -275, -285, -295, -305, -315, -325?\n\"Answer: -10*r - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4952119?\nAnswer: 4952119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2445 + 4999\/2. Let d = -56 + f. Is d at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12560*t - 9. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (6 - -1) - (-6 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 0.2 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)**(-3\/2) assuming w is positive.\nAnswer: w**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(4\/5))**(14\/5)\/((u*u\/(u**7\/u))\/((((u*u**(-10)*u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-161\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11 - 7*a + 2*a - 4*a. Let l be 4 + 555\/2 + (-18)\/(-12). Let f = 277 - l. Let k(i) = -5*i + 6. Give f*p(m) + 11*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + 2*m)*(m**2 + 3*m**2 - 2*m**2) + 4*m**3 + 2*m**3 + 6*m**3 + (-3*m**2 + 3*m**2 - 2*m**2)*(-2*m + 0*m + m) + 0 + 0 - m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-7) - 12\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = 101*y + 82*y - 285. Let b = 12 - 15. Sort 30, b, y in ascending order.\nAnswer: b, y, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 168\/(-36)*(-3)\/2. Let i = -5 - -17. Solve u*p - i = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 4*o - 5*o. Let p(g) = g - 1. Let w(q) = -42*q + 36. Let u(a) = -36*p(a) - w(a). Calculate u(k(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 978 and 1630.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2. Let t(n) be the second derivative of -n**6\/240 + n**4\/6 - 4*n. Let k(w) be the third derivative of t(w). Determine k(c(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 85?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -723*k**3*q - k**3 + k*q + 139040*k wrt q?\nAnswer: -723*k**3 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129589116 to the power of 1\/2, to the nearest integer?\nAnswer: 11384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 148. Let q be (-3 - (-112)\/20) + y\/10. Solve -q*b = -4*z + 3, 2*b + 4*z + 2 = 3*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 3 - 11*l + 4. Suppose 15 = 5*w - 4*i - 28, 2*w = 2*i + 16. Let j(h) = 5 - 62 + 17 + 7*h + 36. Give w*j(p) + 6*a(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m - 1. Let p(x) = 5*x**2 + 9*x - 4. Let t(f) = -p(f) + 4*z(f). Let h(a) = 2 + a - 4 + 2. Determine t(h(y)).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + 11 + -2. Suppose -w = -5*g + w + y, -2*w - 2 = -2*g. Put 12, 1, g in descending order.\nAnswer: 12, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = 0. Suppose u = -0*z - z + 8. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1796 by 4.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.43 - 6.43. What is the closest to 0.1 in z, -2\/9, -2, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 10\/9 (b) 6 (c) 0.3 (d) -0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/3 + 2*t - 7382. Let y(z) = 2*z**2 + 0*z + 0*z. Give j(y(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 2*r - 4*r)*(-811*r + 7511*r + 2081*r + 2281*r) to j*r**2 + g + b*r and give j.\nAnswer: 11062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p**2 - 3*p - 3. Let y(t) = 4*t - 4*t**2 - 2*t + 1 + 5*t**2 + 2. Let a be y(-2). What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2 - 1648*v - 3300 = 0?\nAnswer: -2, 1650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - (3 + -7 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*c - 14, 4*c + 0*c - 16 = 0. Let g = -1 + a. Calculate the greatest common factor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 - (-6 - (-12 + (-20 - -6)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*f**2 + 114*f**2 - 285*f**2 - 293*f**2 + 92*f**2.\nAnswer: -494*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 66 + 128 - 8*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v + 16 = -3*n, 0 = 3*v + 5*n. Is 55\/22*(-446)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 124\/44 - (72\/(-66))\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/105? (a) -0.3 (b) -0.05 (c) -4 (d) 4\/3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 521?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 164072427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24019266 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 864040003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6572*s. Let f(c) = -2*c**2. Give r(f(l)).\nAnswer: 13144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -17, -33, -67, -125, -213, -337, -503?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 66*n**2 + 544*n.\nAnswer: 2*n*(n - 17)*(n - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q - 16 = -99*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 9*k + 1. Suppose 4*f + 2*m + 16 = 0, -3*f = -m - 0 + 17. Find the common denominator of s(f) and -22\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3298 and 51.\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + 97*d**2 + 61*d - 6. Calculate the remainder when 15 is divided by v(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i + 9. Let f be n(2). Let p = 57 - f. Suppose -3*r + p + 15 = 0. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -5*b, -b = 2*b + 4*s - 14. Let n be (-5)\/(2\/(4 - b)). Let t be (36\/(-20))\/(1\/n). What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -70. Let t = p - -23.0000018. Round t to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d + 30. Let g(i) = 9*i - 5*i**3 + 5*i**3 - i**3 - 3*i - 5*i**2. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxd when four letters picked without replacement from xddddddd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 50. Suppose -551 = -c*b + 619. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 3*n**2 - 3*n**2 + 3 - 3 + 3 + n**3 + (62 - 62 - 11*n**3)*(-4 + 0 + 1).\nAnswer: 36*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - q = -2, -3*q + 9 = 0. Let c(k) = k**3 - 7*k**2 + 3*k - 9. Let o be c(7). Suppose -5*j + 13 + o = 0. Put 0, v, j in decreasing order.\nAnswer: j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3736966 and 5?\nAnswer: -18684830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2, 0*a - 6 = -z - 5*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 593 - 590. Let g be -4 - (1 - 2) - 2. Sort g, -4, t.\nAnswer: g, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) -0.1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/15*88*(-40)\/(-192)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*t - 34, 0*b = -5*b - 2*t + 40. Is 122\/4 - 3\/b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + 10. Let g = 68 - l. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 4*b**5 - 2*b**4 + (5*b**2 - 4*b**2 - 2*b**2)*(4*b**3 - b**3 - 4*b**3) - 7*b + 17*b**5 + 7*b.\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-4)\/12)\/(-4). Let z be 8 + r + -9 + 8. Suppose -z*d + 3*d = -124. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/180 + (-1 - 44\/(-15))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14))**2 assuming h is positive.\nAnswer: h**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1297 and 297?\nAnswer: 385209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, a: 3, x: 1, l: 5}. What is prob of sequence mxal?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13365\/(-4860)*(-6)\/55.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 12, -3*j + 3*m = -2*j + 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 7*a - 51. Let r(v) = -5*v**2 + 53*v - 17. Let m be r(10). What is the remainder when y(m) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 17. Let h(l) = -4*l**2 - l + 2. Let g(p) = -9*p**2 - 2*p + 4. Let z(o) = 3*g(o) - 7*h(o). Let s be z(3). What is the tens digit of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 59*m**2 - 5*m. Let l(c) = 70*c**2 - 6*c. Let b(r) = 6*g(r) - 5*l(r). Let v(j) = -3*j - 5. Determine b(v(w)).\nAnswer: 36*w**2 + 120*w + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 + 4*w**2 + 3*w**2 to k*w**2 + t + m*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ooccc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 1112. Let y = b - 1003.87. Let l = y + -0.13. Sort l, 5, 3\/2, -2\/15 in increasing order.\nAnswer: l, -2\/15, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 1\/2*z**2 + z - 3. Let d(w) = -2*w**2 - 6. Let c(m) = d(m) + 4*x(m). Factor c(i).\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a6 - 4?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -363282 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29543*i + 453 = -29634*i + 89 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107488, 106603, 105718, 104833?\nAnswer: 103948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 188499 + 3*a - 188499 - 974*a**2 - 3*a in the form b*a**2 + k + u*a and give b.\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47786718 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-1116)\/24)*5\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50720 - 50718. Let q be 1 - (0\/1 - 1). Let a be (-1*q)\/(-1) + -1. Solve -c*n - 5 = -a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 + 32*f**2 - 10*f - 43. Let v(u) = 7*u**3 + 30*u**2 - 11*u - 41. Let h(b) = 6*n(b) - 5*v(b). Is 11 a factor of h(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 33. Let f = z - -18.47. Is f bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89004137.\nAnswer: 83, 1072339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -1956, -4, 0 in descending order.\nAnswer: 0.04, 0, -4, -1956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-3\/4))\/(l*l*l**(-5)))**10)**(1\/15) assuming l is positive.\nAnswer: l**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 7*l - 3*l - 52, 26 = z - 4*l. Let x be (-1)\/(z\/(-8) - -3). Suppose j = -x*j + 250. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 + -134. Let g be 2\/(-6) - 95\/399. What is the third biggest value in a, -2\/9, -7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878167399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.9048*-8\nAnswer: -7.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -61. Let z = b + -42. Solve y - 3*v = -3, -4 = z*y - v + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*v - 170, 5*v - 3*c + 13 = 291. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4, 1.1 in decreasing order.\nAnswer: 4, 1.1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - k - 26 + 22 + k as n*k + t*k**2 + l*k**3 + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 127*s - 46578. What is y(125)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 69*u**2 - 8*u + 587. What is o(69)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/70984 and 77\/10?\nAnswer: 354920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*v - 3\/5*v**4 + 0 - 9\/5*v**2 - 9\/5*v**3.\nAnswer: -3*v*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -25. Which is bigger: -7\/2 or h?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(-4 + -2 + sqrt(3)) + -5).\nAnswer: -46 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 - -259. Let u = 676\/5 - w. Factor -1\/5*y**2 - 9\/5 + u*y.\nAnswer: -(y - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -7 (c) -1 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -30 + 93 - 38 - 3*o - 31. Let t(a) = -4*a - 5. Calculate -3*b(f) + 4*t(f).\nAnswer: -7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3371 and 2.\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 3. Let g be t(-6). Suppose -4*j - 4*u - 9 - g = 0, -5*j = -5*u - 35. Solve f + j = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3638691654 to the nearest integer?\nAnswer: 60322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 140 = 33*i. Sort i, -5, 9, 1 in decreasing order.\nAnswer: 9, i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 26*y**2 + 142*y + 108. Determine n(-19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**2\/2 - 7. Let w(u) = 1. Let q be (-12 - -11)*(-1 - 0). Calculate q*w(p) - l(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958 - 581 = -807*g - 2044 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + -6444?\nAnswer: -6394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + d - 1. Let f be b(1). Suppose -f*n + 25 = 3*n. What is the second derivative of -5*u + 3*u**5 + u**n + 3*u wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((28\/(-8))\/7)\/(1\/(-106))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 42689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2844984876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 - -0.056. Which is greater: o or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119838337?\nAnswer: 3, 78512531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*u**3 + 2557*u**3 - 846*u**3 - 853*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72685 + -18698. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let c(v) = -7*v + 6. Let w(u) = -29*u + 18. Let l(j) = -8*c(j) + 3*w(j). What is l(q(b))?\nAnswer: -31*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/5 - -1)*45. Is (-1)\/18*-6*n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 9:01 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 162, -2.\nAnswer: -2, 1, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -376*f**3 + 26*f**2 - 87743*f.\nAnswer: -2256*f + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 17337.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 - 169. Suppose 2424 = c*r - 1261. List the prime factors of r.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-6) - 0) + (-1)\/(-2). Let l = -749 + 748. Let h = -0.2 + 0.2. What is the nearest to l in v, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-6))**(1\/7))**(-40) assuming h is positive.\nAnswer: h**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -67, -92, -117, -142?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * 0.4.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + 5*x**3 - 2*x**3)*(4 + 0 - 2)*(-x - 3*x - 4*x) to s*x + c + v*x**3 + k*x**4 + b*x**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000250155695 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 + 9*j - 4. Let r be o(8). Suppose 0 = 2*h - r*q - 22, -2*h + 2*q = 3*h - 23. Solve -h*u + 3 = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8 - 6. Let p = c + -5. Let b = 28 - 26. Calculate the remainder when b is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7737 - -7749. Solve f*s - 132 = 34*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.67 - 18.27. Let g = 15.6 - 16.6. What is the nearest to g in -4.1, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 67\/3, -3\/2, 5, -4, 12?\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 28*b - 1160 = 0. Let d = b + -51. Solve -2*a - 5*w - 35 = -d*a, -5*w = 5*a + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(1539) + sqrt(1539) + 2) + -5 + (sqrt(1539) + 4 + sqrt(1539))*4)**2 + 1.\nAnswer: 3024*sqrt(19) + 221813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43522*f - 87111*f + 2 + 43616*f.\nAnswer: 27*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133514\/387 - 345. Is -1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*34\/(-136)*6\/(-135)*-3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2798 = 585*f + 4222 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r\/((r\/(r**(-2\/5)*r)*r)\/r))\/r**4)\/(r**(3\/5)*r)**(2\/117))**(1\/10))**(-3\/7) assuming r is positive.\nAnswer: r**(167\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = q, 0*g - 5 = -5*g. What is the second derivative of 1 + v**q - 5*v - 3 + 2 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 162*h**2 - 40 + 166*h**2)*(-9*h + 0*h - 6*h).\nAnswer: -60*h**3 + 540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4491511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.07 + 12. Let z = -48 + 49.9. Let p = z + -2. Put -4, w, p in decreasing order.\nAnswer: w, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97\/291)\/(12\/126)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -4 - 2\/3*v**3 - v**2 + 5*v + 1\/4*v**4. What is the units digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-21)*(-11)\/22. Let g = -69\/14 - 177\/28. Let v = g - -11. Which is the biggest value? (a) -1\/5 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4\/2 + 65*b**3\/2 - 135*b**2 + 230*b - 140.\nAnswer: -5*(b - 7)*(b - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51848 divided by 4?\nAnswer: -12962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990111.\nAnswer: 359, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 790 + -787. Suppose 5*a + v*j - 1629 + 126 = 0, -5*j = a - 305. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1102, -4363, -9784, -17365, -27106, -39007?\nAnswer: -53068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 10982?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926271079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*q + 14 = 0, -52 = -4*o + 6*q - 2*q. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258.9503 rounded to zero dps?\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27144601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 354117975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15)*d\/d**3*d**(-3\/8)\/d*d**(3\/11) assuming d is positive.\nAnswer: d**(-1593\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1175 >= -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*1707458.\nAnswer: 221969.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6964211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(-3 + 6 + 8) - 4*b + 2*b + b + (b + 6 - 6)*(-7 - 3 - 8)*(-2 - 1 + 5).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -125418000, -125418006, -125418012, -125418018, -125418024?\n\"Answer: -6*d - 125417994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861 divided by -356?\nAnswer: 2861\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -31cc4?\nAnswer: 31cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugxgxxxuxxx. What is prob of sequence gux?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*2\/24 + 25080\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -108. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49789530 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 19*h**2 - 1 - 5*h**3 + 8*h**2 - 4*h**3 + 16*h**3 + 7*h**2. Let v(r) = 6*r**3 - 3*r**2 + 2*r - 1. Calculate 3*c(j) - 4*v(j).\nAnswer: -3*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 7467 - 7517. Solve 0 = g + p*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512935 is divided by 661?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -22.\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42674 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 9. Let b = -7 - 0. Let t be x(b). What is the second smallest value in 0, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4, -7 = -4*o + 3*k + 101. Solve d + 4*v + 25 = 0, -27*v = -o*v - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, 376, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 654729, 654731, 654733?\nAnswer: 654735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89826 + -63169. Calculate the greatest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 854840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/13 + 4256*u**4\/13 - 473194*u**3\/13 + 925088*u**2\/13 + 473192*u\/13 - 71488 = 0.\nAnswer: -2234, -1, 1, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1260))\/(sqrt(50)\/sqrt(360)) + 2)**2*5.\nAnswer: 2160*sqrt(7) + 408260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 3*j**2 + 2*j + 6. Let l = 34 - 32. Suppose -4*a + v = -8, l*a - 13 - 13 = -5*v. Is t(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628409301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12433898.\nAnswer: 2, 83, 74903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 450 - 450 + 5*y**2 + 0*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 21 + 1323 + 9*j**2 + 4*j.\nAnswer: 9*j**2 + 1302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 4*h**2 - 5*h - 6. Let c be a(-3). Suppose 3*p - 271 = -5*w, c = -w + 2*w - 3*p - 47. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5151*s - 46439. Determine d(-9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4674708 + 4.86747. Let u = g - -1.6. Round u to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.16309ml to litres.\nAnswer: 0.07416309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 = 5*n, 4*p - 12 = 8*p. Suppose 5*w - 35 = -5*m, -4*w - m + 1 + 12 = 0. Let g(i) = -i + w*i**2 - i**2 - 2*i - 7. What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76.43559 months?\nAnswer: 0.063696325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 35*l + 39*l - 236 - 75*l + 236. Let r(u) = -4878*u. Give r(m(w)).\nAnswer: 4878*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 5*y - 26. Let m = -61 + 69. Is c(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/12*(-60)\/(-75))\/((-8)\/600).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 0, -9, -24?\n\"Answer: -3*o**2 + 6*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9246*p - 16323*p = 495390 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*a + 12 = 0, 71*u = 68*u - 4*a + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6628 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) 1023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(13) - (3 + sqrt(13)))*-4)**2 + (sqrt(468) + -4 - sqrt(13))**2 + (sqrt(208)*4)\/(sqrt(36)*-6)).\nAnswer: -970 + 728*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((sqrt(847)*2*1 + sqrt(847) + (5*-3*sqrt(847) - sqrt(847)) + sqrt(847) + sqrt(847))*6)**2.\nAnswer: -18447664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8981480 and -15\/28?\nAnswer: 62870360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.12 (b) 107 (c) -0.3 (d) -842\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 17*f - 15*f + 5*z, 3*z - 15 = 0. Calculate the lowest common multiple of f and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 2*v = -38*k + 17860, 7*k = v + 25004. Is k less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8284 to two decimal places.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60761739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11007?\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*-6)\/((-15)\/18*(-4)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15442 - 7*z - 69316 + 3*z - 29895.\nAnswer: -4*z - 83769","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*w = -11396 - 3073. Solve w - 28 = -21*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (725\/200*-2)\/(13\/(-52)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose -p*d = -49 - 71. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 39*f + 17 - 9 as g*f + i and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2068\/(-12))*3. Suppose -o - 537 = -4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12387205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 71, 3, 22, 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 15*a - 15. Let q(o) = 7*o - 7. Suppose -f + 6*f + 340 = 0. Let z = f - -32. Let y be (-40)\/24*z\/10. What is y*j(w) - 13*q(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:14 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-70)\/24)*-665*54\/1134?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h**2 + 2. Let t be p(2). Suppose -4*s = -t*s. Suppose s = 5*l - 0*l - 155. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 903*f + 204*f**3 - 903*f to the form g*f + h*f**3 + q*f**2 + r and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwf when three letters picked without replacement from zxxxxwxxf?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:14 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s. Let t(g) = -12*g**2 - 2*g - 24. Suppose 5*h + 5*p + 7 = -18, -5*h - p - 21 = 0. Let x(r) = h*f(r) - t(r). Differentiate x(q) wrt q.\nAnswer: 16*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 24 - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-126)\/(-8) + (-1)\/(-4). Suppose 5*x + 367 = -148. Let z = o - x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*s - 1766*s = -114 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -146, -149, -152, -155, -158?\n\"Answer: -3*u - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 6*k - 3*k = -4896. Calculate the remainder when 821 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 + s + 8. Let m be w(-6). Suppose m*o = g + 134, 2*o = 3*o + g - 70. What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 75 = -195. Calculate the smallest common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 76 = 4*l, -5461*l = -5466*l + 25 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*h + 15, 3*h = -2*h + f + 13. Let z = 3 + -4. What is the third biggest value in h, 4\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/18 and -67\/1746318?\nAnswer: 5238954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 e when four letters picked without replacement from {t: 1, e: 3, u: 1, y: 6, z: 1, o: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.8 - -43.7. Which is the closest to l? (a) 0.3 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5 + 6*(-18)\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9779 and 0.713.\nAnswer: -9778.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + f + 9 = 0, 3*f = -3*w + 2*w + 13. Suppose 0 = w*q + c - 258799998, q - 25248168 = -2*c + 39451828. What is q rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -971*c*t**4*x**2 - 181*c*t**4 + 18*c*t**2*x + 4*c*t*x + 2*c*x**2 + 3*t**2 - 1 wrt t.\nAnswer: -23304*c*t*x**2 - 4344*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2672 - 2227 + 22*m + 5454 wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 28*b + 67. Let h be r(11). What is the highest common factor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142631 (base 8) in base 10?\nAnswer: 50585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + 919 - 463 - 458 + 211*r**3.\nAnswer: 211*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 + 239*x**3 - 251*x**2?\nAnswer: 48*x + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2 - (-7 + 4). Suppose -j = y*j - 12. Let d = -4 - -9. Which is the closest to -2\/7? (a) d (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80*q - 173*q - 184 + 93*q - 489*q**2 + 2008*q**2 wrt q?\nAnswer: 3038*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -14 + 2. Let q(u) = -u**3 + 3*u**2 - 2*u + 1. Determine q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -39*p**2 + 2. Let y(d) = -15*d - 66. Let r(z) = -11*z - 48. Let b(v) = -11*r(v) + 8*y(v). Give b(h(n)).\nAnswer: -39*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*c = 10, 4*c = o + 44 - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/13))\/(z**(-8)*z*z))\/((z**(-1\/5)\/z*z*z)\/(z*z**6*z)) assuming z is positive.\nAnswer: z**(933\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1\/4, 30, 0.18, 5 in increasing order.\nAnswer: 0.08, 0.18, 1\/4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8536 is divided by 132.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 16*k - 5. What is the units digit of i(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*z**3 + 340*z - 340*z + 2*z**3 + 2*z**3 - 2*z**3 + (2*z + 2 - 2)*(-1 - 2*z**2 + 1).\nAnswer: -113*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2480 + 216 = 5*h, 5*k = -3*h - 3370. Let n = -449 - k. Calculate the greatest common divisor of 90 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1380 divided by 3.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145457331.\nAnswer: 3, 19, 2551883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**15*g**9*g*g*(((g\/g**5*g)\/g)\/g)\/g)**(-25\/3) assuming g is positive.\nAnswer: g**(-1625\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/657 and -32\/511?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/506 - 90\/44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 86*m**2 + 20*m + 1236. Is i(-87) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -9. Let n = 26 - 26.14. Let y = n + 5.14. What is the third smallest value in y, v, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 6:39 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3151 + -3115. Calculate the smallest common multiple of 16 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 456 = -118*o. Let j = 0 + 0. Suppose -5*w + 4*w - c + 71 = j, -215 = -3*w - o*c. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q**3 - 39*q**3 - 141*q**3 - 30*q**3)*(0*q - 3*q + 0*q).\nAnswer: 717*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 107 = -145. Calculate the remainder when y is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0*j**3 - 8*j + 12*j**2 - 1\/20*j**5 + 0*j**4 + 11\/10*j**6 + 0. Differentiate z(x) wrt x.\nAnswer: 132*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -129*c**2 - 3 + 20*c - 103\/6*c**3. Find the first derivative of u(j) wrt j.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6961.2 + 6130. What is o rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814 + j + 3870 + 4807.\nAnswer: j + 9491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + (-348614)\/21. What is j rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5580 and -77\/16740?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434 - 434. Let j = -1.5 + -4.5. What is the second smallest value in j, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(1\/8)*t\/(t\/(t**12*t)))\/(t**(-7\/3)*t*t**(-5\/7)\/t*t*t*t))**(-14\/3))**(-1\/10) assuming t is positive.\nAnswer: t**(2507\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5363 and 1015994?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:00 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 3, h: 1, u: 2}. What is prob of picking 2 h and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20210000 - -2012?\nAnswer: -20200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 89\/2*h**2 + 7\/15*h**6 + 0 + 0*h**5 + 5\/6*h**3 + 0*h**4 + 103*h. Differentiate z(n) wrt n.\nAnswer: 56*n**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8049 and 2556899.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/8)\/(6\/40). What is the greatest common factor of l and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155595 = 13330*h - 23703*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 27 + 5 = 0. Solve 0 = 4*c + q + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3*d + 3*d + (3*d**2 + d**2 + d - d**2)*(1 + 9 - 6)*(0*d + 3*d + 3*d).\nAnswer: 70*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 85\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1987*a = -122801 - 115639 for a.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.78*0.2.\nAnswer: 1.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13889501*5.\nAnswer: -69447505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -23 + (-3 - -15) + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (1 - (-10)\/3). Which is the biggest value? (a) 0 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**4 - 36612*v**3 + 28238808*v**2 - 7574907184*v + 180037646880.\nAnswer: 4*(v - 754)**3*(4*v - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*j - j = -16, 5*y = 3*j + 8. Let k = 3.8 + -76.2. Let i = k - -72. Which is the closest to 1\/4? (a) y (b) i (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -116800\/49 (b) 0.6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-136\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2610 and 678?\nAnswer: 294930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 0)\/(96\/266) and -167\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*i + 9. Suppose -i = -4*r + 6. Which is the second biggest value? (a) -2\/9 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -1, 0.073, 1\/5, -0.2 in descending order.\nAnswer: 6, 5, 1\/5, 0.073, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -538853 at most -538793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -4*o + 2*p, p - 6 = o. Put 8, -17, o, 4 in decreasing order.\nAnswer: 8, 4, o, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 11. Solve 0 = h*k + 5*f + 7, -2*f + 4*f = k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 3*n**2 + 2*n - 1. Let f be k(-3). Let b = 3 - f. Suppose d = 6*d - b, d = -4*p + 150. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/(12\/(-160)*-2). Suppose u + 11 = 4*w, w = 3*w + 4*u - a. Solve w*p = 6*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*f**4 - 14020*f**2 - 522889.\nAnswer: 216*f**3 - 28040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1197 and -932.\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 - 166475824*s\/3 + 1732137498529936\/3.\nAnswer: 4*(s - 20809478)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 3, u: 1, z: 2, w: 2, c: 6}. What is prob of picking 1 z and 1 w?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -0*p - p + x, -2*x = -5*p - 160. Let q = -22 - p. What is the greatest common factor of q and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24390 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 9*v**2 - 4*v + 45. Let w be z(12). Let a = w - 423. Solve a = -n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221920 (base 11) in base 3?\nAnswer: 122222100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 0 = 9*v. What is the third biggest value in v, -2\/5, -1, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/60*6\/(-2). Let x = 26 + -27. Let n = -1.2 - x. What is the closest to g in -4, n, -7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 1. Let v be (-5 - (-5 + 3 + -1)) + 5. Calculate g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.58 + -0.4. Let k = -13.5244 + 13.7. Let f = z - k. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*p*r**4 - 28*p*r - 12773*p - r with respect to r.\nAnswer: 360*p*r**3 - 28*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 159*u - 1363. Determine h(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + 1?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + -3a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**5 + 13145*a**4 + 8*a**3 + 2*a**2 - 6*a + 190799 wrt a.\nAnswer: -300*a**2 + 315480*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 7\/3042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3443*u - 37871. Give m(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2772 = -18*r - 0*r. Let t be (r\/35 - -5)*(-15)\/(-3). Solve 0 - 8\/11*b**2 - 2\/11*b**t + 10\/11*b = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -2, -3, -22 in ascending order.\nAnswer: -22, -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 211*g. Let r(p) = -156*p**2 - 18*p - 1. Determine w(r(t)).\nAnswer: -32916*t**2 - 3798*t - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 7:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3 = -g, -3*g + g = -5*x - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 145?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 + (241 - (0 - 3)). Suppose -5*j = -5242 + s. Let d = 520 - j. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342b (base 14) in base 16?\nAnswer: 235f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Let g(q) = 8*q**2 + 3*q + 2 + 4 - a*q**2 - 9*q. Let v(m) = -14*m**2 + 17*m - 17. Give 17*g(d) + 6*v(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 + (3 - 5 + 1)*(1 + 4 - 3) - 2 + 2 - 1 - 3 + 0 - 3 + 0 + 3 - 1)*(-3*a + 3*a - 2*a + (-4*a + 2*a + 4*a)*(0 - 4 + 3) + (1 + 1 - 3)*(a - 2 + 2)).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -227.91728 to 1 decimal place.\nAnswer: -227.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*h - 19, 28 = 4*c + 3*h + h. Suppose 4*p + f = -3*f + 152, c*p = 2*f + 109. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 94.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -555, -437, -241, 33?\n\"Answer: 39*x**2 + x - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 302 = 48. Let m(o) = -29*o - 272. List the prime factors of m(k).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 14*l**2 + 32*l - 28. Calculate b(13).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*v - 51. What is the third derivative of 12*q**4 + 3 + 0 - v + 11*q**2 - 1 wrt q?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3171\/3020*(450\/(-280))\/3*(-16)\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402691128 by -2072.\nAnswer: -194349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + 0. Let a = 0.1 - w. Suppose 4*c - 2 = 2. What is the nearest to c in a, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390398 less than 0?\nAnswer: -2390398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -424*l**3\/3 - 1294*l**2 - 2118. Find the second derivative of t(d) wrt d.\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 32 = -11*i. Let x(v) = v**2 - 4*v. Calculate x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6221, -12394, -18575, -24758, -30937, -37106, -43259, -49390?\n\"Answer: x**3 - 10*x**2 - 6150*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29826, -31060, -32294, -33528?\n\"Answer: -1234*f - 28592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 16*y**2 + 2*y + 32. Let w be l(-16). Solve 32*t - 3*t - 145 = w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84 - 83) + (2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(28)\/(-2*sqrt(4)) + 4 + sqrt(63)\/(sqrt(54)\/sqrt(96)).\nAnswer: 1 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Let j(y) = -y - 1. Let u(k) = -k**2 + 9*k - 39. Let h(p) = 5*j(p) - u(p). Let f be h(11). Is g greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 888, 3611, 8150, 14505, 22676?\n\"Answer: 908*v**2 - v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvsvvs. Give prob of sequence vs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32517, -4979, -42485, -80007, -117551, -155123?\nAnswer: -192729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 72*k + 6079. What is z(-84)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - ((-20)\/22)\/((-1186)\/(-65230)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0 + 0)*(-3 + 2 - 1)*(20 + 7 - 17)*(5*t - t - 2*t).\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -755*b - 61176. What is d(-81)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9785 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1307194ns?\nAnswer: 0.0000000001307194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100738138.\nAnswer: 2, 1493, 368633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 58*j + 160. Let y = 10 - 7. Suppose -5*v - 4*p + 35 - y = 0, 3*p = 2*v - 22. Solve v = 4*t - 5*d - 1, -2*d = j*t + 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -7*g. Solve g*b + 0*b + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/121942 or 1?\nAnswer: 3\/121942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**3 - 72*i**2 + 168*i + 15. Let x(v) = 8*v**3 - 34*v**2 + 84*v + 9. Let z(g) = -3*r(g) + 5*x(g). Factor z(y).\nAnswer: -2*y*(y - 21)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 0 = -v + 3, y = -5*o + 3*v + 186. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 7*v - 4. Let p(q) = -3*q**2 - 7*q + 4. Let j(f) = 5*k(f) + 6*p(f). What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -20208\/277?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.6318 - 8\nAnswer: -9.6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*f + 3*f - 2*f + (-2 + 0 + 0)*(31 + 66*f - 31))*(f**3 + f**3 - 4*f**3) to the form h + b*f**4 + r*f + c*f**2 + p*f**3 and give b.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13*-20401\nAnswer: -265213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3339*b + 3332*b + 42. What is the lowest common multiple of 67 and b?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202776058*l**5 + 2*l**2 + 27579*l + 370 wrt l?\nAnswer: -12166563480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.1 (b) 0.5 (c) 2\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/((-11)\/(-1320)). Let r = y + -44. Find j, given that -1\/5*j**r + 1\/10*j**5 + 0*j**2 + 1\/10*j**3 + 0*j + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1446950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((5 - (4 + -6)) + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, 8, 324\/13, 6, -1?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 + 69*f - 217. Determine b(8).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y + 27. What is the units digit of s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12982, -12975, -12966, -12955?\nAnswer: -12942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*f - 6 = 7, 135*c - 133*c + 37 = f for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 14. Let t be o(-9). Suppose 0 = t*f - 4*b - 27, -3*f + 3 = 2*f + 4*b. Solve 6 = f*x + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2221 - -2220. Do -2\/2567 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taataaatattttatatna. What is prob of picking 2 t and 1 n?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-5)\/(-3))\/1. Let m = -3 - p. Is ((-6)\/(-8))\/(m\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 2. Suppose -5*a + 95 = -10. Let o(d) = -36*d + 27*d + 24*d + 15*d - a. Determine -21*k(j) - 2*o(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from ukkcukkckccckugguuk?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffttff. What is prob of sequence tfft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = 11. Let d = -2 - g. Suppose d = 5*s - 3*y - y, 0 = 4*s - 4*y. Solve s + 14 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/20 + 1\/(-4). Suppose 0 = -5*t + 16 - b. Solve -5*j = -3*m + 2, -7*m + t*m - 5*j + 26 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -1\/12*l**4 + 0 + 37*l + 4\/3*l**3 - 4*l**2. What is h(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8258 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/8)\/n**(2\/21))**(6\/19) assuming n is positive.\nAnswer: n**(-121\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(4\/10*80\/(-24)). Is x equal to 221\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:10 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 3, y: 4, l: 5, j: 1, r: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6041, 8737, 11433?\nAnswer: 14129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - 4*r - 5. Let s be a(7). Let q(w) = 23*w**3 - 8*w**3 - 6*w**3 + 21*w + 11 - 10*w**3 + 15*w**2. What are the prime factors of q(s)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 65*o**3 + 33*o**2 - 33*o + 1. Calculate f(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 20. What is h(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99\/15 + (-2)\/(-5). Let l = 2 + f. Is 3\/(-2)*(-222)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 7. Let g be f(5). Let i be 0 - 0 - g - -10. Suppose 62*c + 32 = -65 + 407. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from iawuwuww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 8. Let i be j(-7). Let m = 27 - i. Suppose -5*q + m = -3*t, -4*t + 24 = -0*q + 4*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 79*r + 13446 = -80*r, -r + 53759 = 4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 71*t**3 - 1224*t**2 + 1296*t.\nAnswer: -t*(t - 1)*(t + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.1 - 5. Let d = n + -7. Let q = -3 - -2. What is the third biggest value in -2, q, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86011365?\nAnswer: 3, 5, 11, 521281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 19*i + 28 = 0. Solve -3 = 3*g + 5*y + 3, -2*y = -i*g + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/8539749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 43680 = -334*b - 253*b for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 562*k + 8 + 3*k**3 - 32 + 17 to the form m*k**2 + l*k**3 + h*k + y and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -174.\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013810?\nAnswer: 2, 3, 5, 19, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90919*f - 90914*f - 2*i - 8, -11*f + 5*i + 23 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/6)\/(-40))\/((-9)\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 246738583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584900, 584635, 584370, 584105, 583840, 583575?\nAnswer: 583310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 222605, 445218, 667831, 890444?\n\"Answer: 222613*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) - (sqrt(21)\/(-3*sqrt(7)))**2) - sqrt(48)*-4 - (3 + (sqrt(33)\/(sqrt(22)\/sqrt(2)*-6))**2).\nAnswer: -41\/12 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 2*w - 10, 2*w + 6 = 0. Put -3, 5, l, 3 in ascending order.\nAnswer: -3, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:49 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 21*t + 26*t - 3 - 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3 + 1 + w**3 - 9*w - 3 + 6*w**2 - 3. Let l be t(-6). Differentiate -6 - l*g + 52*g - g**3 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 534 and 24?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(-2*sqrt(11)) + sqrt(30))\/(sqrt(50)\/sqrt(80)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1614 and -23\/294.\nAnswer: 79086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 10*d + 5. Let y be h(-5). Let g = y + 82. Suppose -5*k = -2*v - 152, -2*k - 3 + 62 = v. What is the smallest common multiple of k and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -57*l + 2234. What is s(39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20130 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 389743147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(245) + 2 + -2).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -29 + 13 + (3 - -5 - 61)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + 3\/12. Let g = 5 + -3. Let o(u) = -2*u**2 + 4*u + 23. Let t be o(4). Solve -f - t + g = a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23645987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*c + 0)*(0 + 1 + 0)*(25 + 95 - 34).\nAnswer: 344*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 - 2*i**4\/3 + 6*i**2. What is the second derivative of b(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 6*y - 2. Let d be v(5). Suppose 3*w + 48 = -w. Let a = w - d. Solve 4*r - a = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -45*u**2 - 916*u + 57. Determine j(-20).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*-14*((-240)\/(-105))\/(-1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + 4 + 5*c**3 + 0 - 2*c**3 in the form z*c**2 + r + q*c**3 + f*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/40*-1*5\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**8\/4200 + u**7\/700 - u**6\/900 - u**5\/100 + 9*u**3 - 28*u. Let s(x) be the second derivative of a(x). Factor s(g).\nAnswer: 2*g*(g - 1)*(g + 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 15 - 75. Suppose -2*l + 33 = -5*l + 3*f, -5*l - 5*f - o = 0. Let c(t) be the second derivative of -t**4\/12 - t**3 + 5*t**2\/2 - t. Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*10*(-18 + (-15428)\/(-855))*-69?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94140, 188226, 282366, 376566, 470832?\n\"Answer: h**3 + 21*h**2 + 94016*h + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 218*c**2*m**3 - 159*c**2 - 2*m**4 wrt m.\nAnswer: 654*c**2*m**2 - 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 16. Let t(h) be the second derivative of -h**3\/6 - h**2\/2 + h. Let m(o) be the first derivative of 3*o**2\/2 + 4*o + 1. What is v*m(g) + 2*t(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.22511, -0.8, 1\/2, -41, 0.09?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-462)\/(-693))\/((-1)\/(-87) - 0) and 13?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -2)\/96*405\/30.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g**2 + g**2)*(-36 - 39 + 34).\nAnswer: 82*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*p**2 - 77*p**2 - 43*p**2)*(-6 + 4 + 6) + 3 - p**2 - 3 + 4*p**2 - 5*p**2 + 0*p**2 + (2 - p - 2)*(p - 3*p + 3*p).\nAnswer: -187*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57\/44296 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.3 (b) -1 (c) 3\/118 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 66 = 27. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 52\/5 of a millimeter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/15 + 1\/30. Let x = 0.03 - -0.67. Let l = x - 1.7. Which is the nearest to 2\/5? (a) l (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3257\/19 - -41927\/76. Let x = t + -378. Let a = -27 + 28. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*v + 56527*v**3 + 40*v**2 + 56528*v**3 - 5*v - 113056*v**3 in the form p*v + i*v**2 + u*v**3 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 3, 1, -13, -45, -101?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*y - 447 = 203*y + 158 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1372 + 1370. Let t(p) = -45 + p + 86 - 40 + p**3. Let o(v) = -12*v**3 - 15*v - 15. Determine j*o(s) - 30*t(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 5*u - 3. What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(30\/4) - -2. Let a = -0.3 + 0.2. Suppose -17 = -3*i + w, 2*i + 7*w = 2*w. What is the nearest to a in 1\/2, d, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 16. Let r be x(4). Solve -4 = 3*p + 2*d + 1, -9 = r*p + 5*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -22*q + 1465. What are the prime factors of s(47)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1, 2180*k - 2176*k = -3*j + 463. Calculate the remainder when 219 is divided by k.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48266736 divided by -16?\nAnswer: 3016671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51615608 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6*18*16\/48)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 662042295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2, -8, 59, 10.\nAnswer: -8, -2, -1, 0, 10, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, 4*z + z + 6 = -2*r. Let u = -8.77 + -0.23. Let q = u - -9.5. What is the smallest value in r, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/66436700 and -19\/212597440?\nAnswer: 1062987200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by 9.\nAnswer: 86\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 25*f**4 - 520*f**3 + 3320*f**2 - 6640*f + 4400.\nAnswer: 5*(f - 10)*(f - 2)**3*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 110*s + 2. Let w(v) = 2498*v**2 - 1254*v**2 - 1249*v**2. What is w(q(t))?\nAnswer: -60500*t**2 - 2200*t - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 2400?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5235 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5572442?\nAnswer: 2, 2786221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 28*y**2 + 2 + 3*y**3 + 13*y**2 - 1408*y.\nAnswer: 3*y**3 - 19*y**2 - 1408*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5, -3*n = -2*n + 4*f - 36. Calculate the greatest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -82*v**2 - 3028*v + 226. Give c(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 750.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -192, -292, -420, -570, -736, -912?\n\"Answer: v**3 - 23*v**2 - 4*v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -382 + 546. Let u = -44 + z. What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2267 * -2.\nAnswer: -4534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - -88. Suppose -f = -3*k - 200, -4*k - l = -f - f. Let s = -27 - k. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1 + sqrt(28) + sqrt(28))**2 - (sqrt(7) + sqrt(63)*-1).\nAnswer: 14*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 551497603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 6) to base 2.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2484*a**2*h + 3067*a**2*v**2 + a*h*v**2 + 2*a*h*v + h*v**2 + 2*v**2 - v wrt v?\nAnswer: 6134*a**2 + 2*a*h + 2*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 4*l - 6. Suppose -18 = 2*u + 2*y - 4*y, 0 = 3*u - y + 21. Which is the second smallest value? (a) l (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 48 = -4*u. What is the remainder when 33 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 7*t**2\/2 + 3502. Let u(k) = 2*k**2 + 0*k**2 - 4*k**2. Determine u(g(s)).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yluv when four letters picked without replacement from yylvyuvyyyyvovuvoy?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*b - 3*y - 14, 2*y + 10 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163 - 228*f - 1163.\nAnswer: -228*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -6*w + 4*w - 25, -5*w = -5*o. Put 29, w, -2 in decreasing order.\nAnswer: 29, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/60 + b**4\/12 - b**3\/6 + b**2. Let r be l(1). Suppose r*d + 4 = 5*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 1:35 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5723132574?\nAnswer: 2, 3, 953855429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -216*r + 58157. Calculate j(263).\nAnswer: 1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 132*d - 2. Let t(j) = -7*j**2. Give l(t(h)).\nAnswer: -924*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.74324 minus 105565?\nAnswer: -105598.74324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 30*a + 30*a - 44*a - 18 - 18.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11978605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19))**(-3\/10)*a\/a**(-1\/30)*a*a**(1\/37)*a assuming a is positive.\nAnswer: a**(4862\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 1914.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*u + 2, u - 2*n - 13 = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 7, p: 9, z: 1}. What is prob of picking 2 i?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 9*u - 1728000. Round u to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 2016 = -345*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 7*o**2\/2 - 6*o - 62. Suppose -c = -5*y + 25, 0 = -3*y - 2*y - 5*c + 25. Let m(a) = 1. Determine y*m(s) + r(s).\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242877607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 32 = 7*u. Suppose -n + 20 = u*n. Solve 2*q - n*q + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 443 and 11?\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -16 + 52 - 6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11383 is divided by 1156?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 512 - 298. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6) + (-4)\/(-24). Suppose -81*c + 19 - 10 = -153. Let -2\/7*m**c - 2\/7*m + n = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302041.812316 - -0.3\nAnswer: -302041.512316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -316.82 + -2.18. Let f = c - -318.9999739. What is f rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -3266?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**0\/g)\/g)\/(g\/(g**(-3\/2)*g)*g))\/((g\/g**7)\/g**(-7)))**(-7\/2) assuming g is positive.\nAnswer: g**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -0.2, -51, -2, 0.18 in ascending order.\nAnswer: -51, -2, -0.2, 0.18, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 131 + 77 = 18*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:53 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/2 - 4*u**3 - 17*u**2\/2 - 5*u = 0 for u.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82700 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32338393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + o, -5*i + 10 = 3*o. Put i, -1, 6 in decreasing order.\nAnswer: 6, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66323*c - 122*c**2 + 66323*c - 2*c**2 + 4*c - 4*c + (c - 3*c + c)*(-2*c + 0*c + 3*c) - 1 + 2*c**2 + 1.\nAnswer: -123*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (186\/310 - 54\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccnmccccmccncccc. What is prob of picking 2 m and 1 c?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 3 - 3. Let c(w) = 19*w**2 - 10. Let h(v) = 23*v**2 - 12. Let k(x) = 6*c(x) - 5*h(x). Determine k(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*s - 2*s = 1, 3*o = 3*s + 6. Let b(v) = 46*v**2 - 6*v - 4. Let j(c) = 45*c**2 - 7*c - 5. Let k(h) = 6*b(h) - 5*j(h). Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 + 2*j + 4. Let o be a(4). Suppose -p = -2 - o. Let n = 376 - 372. What is the highest common divisor of n and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 + 12*q + 6. Let f(x) = -7*x**2 - 11*x - 5. Calculate -7*f(r) - 6*s(r).\nAnswer: r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 9*q**2 - 71*q + 690. Calculate the least common multiple of d(13) and 528.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 4*l - 7. Let m be z(-6). Let s(r) = r - 3. What is the units digit of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 42 = 4*t - t, 4*t = -3*c - 56. Let n be 26\/t + (-7)\/49. Let j = n + 8. Calculate the remainder when 22 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 364.\nAnswer: -29\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 3*k + 5, 4*p = k + 15. Let i be 2 - 1 - (6 - 9). Suppose -c = -i*l - 4, 5*c + 4*l - 34 = -14. Solve 8 = -c*o - p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 8, p: 4}. What is prob of sequence nn?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.5. Let u = 52 - 147. Let s = u - -94.8. What is the third biggest value in s, -2\/3, h, -6\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 + 302.9607. Round g to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51988 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201994772?\nAnswer: 2, 550498693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3506 divided by 14\nAnswer: 1753\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(45)\/(sqrt(45)\/sqrt(5)) - sqrt(80)*3 - (-2 + sqrt(80)*-1))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = b + 5*t, 5*b + 4*t - 20 = 0. Solve 0*y + 2*y = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:26 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*y + 187*y + 70 = 0. Suppose z + 4*v = 24, -y*v + 6*v = -2*z - 12. Solve z*t + 8 = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/8 - 1679\/(-876))\/((-2)\/(-60)). Sort g, -346, -5 in descending order.\nAnswer: g, -5, -346","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171411?\nAnswer: 3, 17, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -18. Solve 0*f - 4 = f - m, 12 = 3*f + j*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 + 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.938 + 0.062. Let p = 26 - v. What is the closest to 0 in p, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-2)\/8. Let w be (27\/(-90))\/(4\/(-10)). Which is the closest to -1\/3? (a) w (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 126 (b) -7\/2 (c) 1 (d) 3585 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3761310 to the nearest 10000.\nAnswer: -3760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**7\/14 - c**4\/6 - 13*c. Find the third derivative of y(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 62855461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let k(z) = -z**2 + 4*z**2 + 5*z**2 - 4*z**m. Let t(v) be the second derivative of -v**3\/3 - v. Give k(t(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:38 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b + 25. Let c = -23 + 29. Sort c, -1, b.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooxoo. Give prob of sequence xoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 4.5?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. What is the third derivative of d**6 + d**2 - 8*d**6 + b*d**2 wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u + 123 = 225*u + 4*j, -4*j + 132 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -14, 3, 1 in descending order.\nAnswer: 3, 1, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50035 (base 9) to base 15.\nAnswer: 9ae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 - 4.97. Let f = -0.47 + s. Let p = f - -0.04. What is p rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 - 44*k + k**3 + 0*k**3 + 185 + 44*k.\nAnswer: k**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:19 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 624163457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 - -12 - -4 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395.48 - -398. Let v = s - 2.32. What is the fourth biggest value in v, 0.4, -3, -5\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60014.84 years to millennia.\nAnswer: 60.01484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.19 (c) 0 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190)*3 + sqrt(190)))\/sqrt(10)*1 - (-3*sqrt(190)*2)\/(sqrt(160)*-1).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-5))\/(19\/(-95)). Let x be 1 + 21 + 4 + o. Let z be (-20)\/x - 34\/(-6). Solve 0 = -4*v - 5*q - 0 - z, 0 = 3*v + 4*q + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 3*i + 2. Let u(t) = -3*t**3 - 2*t + 7*t**3 - t**2 + t**2 + 1. Let x be u(1). Let l be d(x). What is the highest common divisor of l and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9585*f - 3682. What is the units digit of d(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712174768?\nAnswer: 2, 44510923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*t - 25 - 145 + 15 = 0. Which is smaller: t or 90.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 45. Let x be l(13). Factor -125*m**5 + 2*m + 4*m**3 + x*m**5 - 4*m.\nAnswer: -2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from nlpippaplppappapp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-12)*2 - (-194)\/12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.126 - -1.874. Let n(t) be the third derivative of t**6\/120 - t**5\/12 - 5*t**4\/24 - t**3 + 18*t**2. Let w be n(5). Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -1\/5, 1, -0.5, 3\/22, -1\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 - 4*x**3 - 461*x**2 wrt x?\nAnswer: -120*x**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -14.1. Let t = s + -13.1. Which is the closest to -1? (a) t (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1778, 1779, 1780, 1781?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -14. Let t(n) be the third derivative of -n**6\/120 + n**5\/10 + n**4\/4 + n**3\/2 - 1901*n**2. Calculate t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 323, -26, -5?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 5, t: 3}. Give prob of sequence hqht.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - 27063674?\nAnswer: -27063647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let c be (247\/z)\/((-4)\/(-16)). Let m = -170 + c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 7, q: 2, u: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**7\/14 + 9*s**6\/10 + 81*s**5\/20 - 49*s**4\/4 - 33*s**3 - 8878*s. Find p, given that q(p) = 0.\nAnswer: -3, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-774)\/(-258))\/((-5)\/(5\/8)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 5*d + 6. Let r be h(-4). Suppose -5*n = -5*v - 35, -6*n = -4*n - 4*v - r. What is the remainder when 22 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3*(-65 + 44). Suppose 0 = -o - 3*b - 6, 2*o + 34*b - 29*b + z = 0. What is the least common multiple of 24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Let x(g) = 64*g - 5. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 16. Let b = -6 - y. Put 2, b, -1 in ascending order.\nAnswer: -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5621.\nAnswer: 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - 26\/10. Let t = 0 - k. Suppose -4*d + 152 = 2*j, t*j = 5*d + 2*j - 183. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4364*f - 7 + 13 - 6 - 4390*f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.26 * 0.4.\nAnswer: -2.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l - 1. Let g(y) = -y**2 - 5*y - 5. Let k(u) = -g(u) + 5*j(u). Let w(o) be the third derivative of -o**5\/20 - 1548*o**2. Give k(w(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/9 and -52\/1185.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.064683l?\nAnswer: 64.683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 266*5\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b**2 - 30*b - 2024. What is h(12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1443 and -77\/4?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c**2 + 14*c - 6. Let f(k) = 5*k - 1 - 9*k**2 - 9*k**2 + 0*k + 13*k**2 - 1. Give 11*f(j) - 4*v(j).\nAnswer: j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 10467.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 436*g**2 - 3*g - 14119 + 14119 to the form f*g + j*g**2 + d and give j.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-10) + (-12)\/20. Which is the closest to d? (a) 0.5 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 399039914?\nAnswer: 1995199570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1363366 or -1363391?\nAnswer: -1363391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45443343131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/132*702\/(-390))\/(9\/(-12)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -68?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f*f*f*f**9*(f**(-2\/7)*f*f)**(12\/5))**(-7\/12) assuming f is positive.\nAnswer: f**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/3)\/((-4 - -2)\/(-2)). Suppose 4*i + 0*t + r*t = 4, -i + 4 = -2*t. Suppose 0 = -5*d - 5*z + 135, -i*d - 103 = -6*d + z. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s**(2\/5))\/((((((s\/s**13)\/s)\/s)\/s*s)\/s)\/(s**(-5)\/s)) assuming s is positive.\nAnswer: s**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 14 + 6. Let w be (4\/6)\/(48\/18). Let z be (-5)\/4 - 5\/((-140)\/21). What is the closest to z in w, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3*n)*(3*n - 2*n - 2*n) - 2*n**2 - 2*n**2 + 2*n**2 - n**2 - 3*n**2 + 2*n**2 in the form c + o*n**2 + x*n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - m)*(3 + 0 - 1)*(4 - 2 - 1) in the form n*m + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1722, -1722, -7432, -15384, -25554, -37918, -52452, -69132?\nAnswer: -87934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/(3\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 18*i - 537. Suppose -41 = -r + i. Calculate the smallest common multiple of r and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*z**3\/9 - 425890*z**2\/3 - 340708*z\/3 - 204424\/9.\nAnswer: -(z + 51106)*(5*z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 351138.6 weeks?\nAnswer: 58991284.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/11, -0.5, 3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 45 = -32*o. Solve -o*i + 3*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.044 or 882741?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/(((-444)\/2775)\/((-558)\/(-2635))).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = g - 44, g - 56 = -3*c - c. Suppose 4*m - g = -5*a + m, -2*a + 16 = m. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2384 times 0.9?\nAnswer: -2145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, b: 11}. Give prob of picking 2 b.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 281 - 235 = 0. What is the remainder when m is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 - 1.74. Let o = -1.37 - j. Which is bigger: o or 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -31690?\nAnswer: -31675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41421 - 311?\nAnswer: -42232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0.8 (b) 5 (c) -630\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 3}. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyi when three letters picked without replacement from {y: 1, w: 2, c: 13, e: 2, i: 2}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8126, -15753, -22934, -29663, -35934, -41741?\n\"Answer: s**3 + 217*s**2 - 8285*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-490)\/40 + 12)*(-2944)\/36. Suppose 32\/9 + l*s**2 - 44\/9*s**3 - 208\/9*s = 0. Calculate s.\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/8 - 34*l**2. Let m(b) be the first derivative of -2*b**3\/3 + 4. Calculate o(m(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 36 = -2*g + 5*a, 2*g - 4*a = -16. Let p(d) be the second derivative of -d**5\/20 - 5*d**4\/4 - 2*d**3\/3 + 11*d**2\/2 + d. Is p(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(90\/85) + 1)\/(64\/(-6)). Let t(d) be the first derivative of 0*d - g*d**4 - d**3 - 2 + 1\/2*d**2. Factor t(a).\nAnswer: -a*(a + 2)*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22535.\nAnswer: 5, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 86. Suppose j + t - p = -3*j, 0 = -5*j - 5*t + 80. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*i**5*k - 7941*i**2*k**2 + 713923*i*k**2 wrt i?\nAnswer: -640*i**3*k - 15882*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 17. Let i(d) = 2*d. Give f(i(z)).\nAnswer: -8*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1116*b**5 + 129*b**4 + 94671*b**3 + 176994*b**2 - 5808*b = 0.\nAnswer: -8, -2, 0, 1\/31, 121\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6652.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 30*m**2 + 47*m + 16. Let g be d(-28). Let k be 7 - 2\/(-2) - 2. Suppose -730 = -k*o - g. What is the remainder when o is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/4*32\/(-8). Let p = g - -10. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-80)\/10*(-204)\/(-5984)*-1.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2773, -2771, -2775, -2791, -2825, -2883, -2971?\n\"Answer: -f**3 + 3*f**2 - 2775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 2 + -11 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 2*i. Suppose -2*c - 5*f + 6*f = 14, c + 3*f = 0. Sort 4, i, 0, c in increasing order.\nAnswer: c, i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 1 h when three letters picked without replacement from {h: 1, z: 7, s: 6, o: 4}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1575\/2 - 787. Solve m**2 - 1\/2 + f*m = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - 2.87. Round i to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/450 + 71*w**4\/180 + 754*w**3\/45 + 357*w**2 + w. Factor l(u).\nAnswer: 2*(u + 13)*(u + 58)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 9*w - 6*w. Let g(m) = 5*m - 6. Let j = -3 + -1. Let s(z) = 2*z - 2. Give j*g(n) + w*s(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225*q**2*w**2 - q**2*w - 24*q**2 - 19*q*w + 429*w**2 wrt q.\nAnswer: -450*w**2 - 2*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -54*m - 320. Calculate d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -207*o + 26. Let r be -4 + (2 - 3) + 0. Is s(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 7. Let c(v) = v**2 - 6*v - 5. Does 11 divide c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12414?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.8 (b) 1 (c) 2 (d) -1\/69 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 7) + -9 - 4 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 206 + 230 = 4*g, -2*p + 5*g = 43 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2 - 37*a + 1. Let h(c) = 4*c**2 + 18*c. What is -5*h(j) - 2*o(j)?\nAnswer: -2*j**2 - 16*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 10*u**2 + 29*u - 7. Let c(v) = -3*v**2 - 10*v + 2. Let s(m) = 14*c(m) + 4*d(m). Find the second derivative of s(t) wrt t.\nAnswer: 48*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 9*d - 33. Solve 5*z = p - d, z = -0*z + 4*p + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 74 = 5*m, -2*d + 44 = m + 2*m. Let r(y) = y**2 - y. Let v be r(-1). Solve 2*x = 3*l + 16, v*x - 3*x - 4*l = m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 5.8 (c) 0.1 (d) 4 (e) 2\/9 (f) 0.3 (g) -708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/48 and (165\/30)\/((-16)\/(-20)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, y: 2}. Give prob of sequence xzx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 56. Suppose h*n - 842 = 3*n - z, -6 = -3*z. Calculate the greatest common factor of 126 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 5*r**2 - 5*r. Let u(i) = -i**3 - i**2 - i. Let a = 524 - 519. Let n = 2 - 2. Suppose -3*f - 3 = -n*f. What is a*u(z) + f*t(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -142*y**2 + 13*y - 10. Let n be p(2). Let a = -69 - n. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -12.4. Let n = j + 6. Which is the nearest to -1? (a) n (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let s(v) = -v**2 + 2*v + 4. Give s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*a - 17, 14*d + 621 = -4*a + 583 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17452 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + 6*x + 4. What is the units digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 12, 1, -55?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 c when three letters picked without replacement from vccprookvopp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -350. Suppose -58*i - 1962 = -40*i. Let s = i - z. What is the remainder when s is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 5*t - 1. Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + -2 + sqrt(832) + 3))**2 - (4*(sqrt(13) + (sqrt(13) + 0)*-4) + 2 + -2).\nAnswer: -564*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 - 5*z**2\/2 + 4*z - 50. Let l be d(5). Solve 0 = 5*t - l*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - b**2. What is s(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -13 + 5 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 98 = -0*q. Let c = 176 - -94. Let u = -256 + c. What is the highest common divisor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9009 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464909 and 7?\nAnswer: 3254363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 701, 771, 841?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2696 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697447713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:04 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -999, -7218, -23943, -56442, -109983, -189834, -301263, -449538?\nAnswer: -639927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 9*d**2 + 8*d + 5. Suppose 13*t - 10*t = 24. Let k be c(t). Suppose 92 + 253 = -k*l. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 77*r**2 + 158*r + 85 = 0 for r.\nAnswer: -17, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251090 is divided by 3057.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 338 and -113.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 2*x**2 + x + 4*x - 5 + 0*x. Let i be g(-6). Suppose 0*b - 2 = -2*b. Is i at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-5))\/((-33)\/((-88)\/(-8))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 37*t**2 + 468*t + 9. What is r(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:34 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f. Let n(b) = b**2 + 4*b + 2. Let h(o) = -2*o**2 - 6*o - 3. Let q(d) = -2*h(d) - 3*n(d). Determine q(g(y)).\nAnswer: 784*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 89 and 15.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 2*q**2 + 2*q + 3. Give n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605585 by -3907.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139209 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 660 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14408860 is divided by 1455?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8905358 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*i**3*k + 260*d*i**3*k + d + 95*i**3*k - 4*i**3 + 2*k wrt d?\nAnswer: 6*d**2*i**3*k + 260*i**3*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/15*(3 - 6). Put c, 0.03, -0.1, -3 in decreasing order.\nAnswer: 0.03, -0.1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -233*f**5\/20 - 1213*f**2\/2 + 445*f. What is the derivative of p(s) wrt s?\nAnswer: -699*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156501324?\nAnswer: 2, 3, 7, 71, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1537 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(-6) - (-12)\/(-72). Let j be (l\/12)\/((-1)\/(-21)). List the prime factors of 20 + 0\/(3 + j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 4*l - 1. Let b be j(4). Let q = 3.95 - 4. Let m = q - 0.25. What is the closest to b in m, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 8 + 10*u + 18.\nAnswer: 10*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 811 - 810.8834. Let s = -0.116600691 + u. What is s rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 3. Suppose 368*c - 93 = 658*c - 321*c. Let n(r) = r**3 + 3*r**2 - 6*r - 4. Let j be n(-4). Let i(l) = l + 4. Calculate c*i(w) + j*f(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 439, 447, 471, 517, 591?\n\"Answer: w**3 + 2*w**2 - 5*w + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -4 + 9)*1\/2. Let c(k) = -15*k**3 - k**2 + 3*k - 1. Give c(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 17*w + 201, 8799*p + w = 8802*p - 82 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (0 - -1) - (-898 - -900)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/6)\/(6\/16). Suppose -w + l*w = 3. Suppose -3*r + 9 = 0, n + 4*r = 3*n + 10. Which is the nearest to n? (a) -0.1 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.6623 - 74.7. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 31986466*c + 31986464.\nAnswer: 2*(c - 15993232)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335676012 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7251.\nAnswer: 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 4}. What is prob of picking 1 s and 2 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.15 - 7.138. Let y = -0.012 + t. What is the second biggest value in -1\/7, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/4)\/(c*c*(c*c\/(c\/(c\/c**(14\/9))*c)*c*c)\/c*c) assuming c is positive.\nAnswer: c**(-97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11709.2 rounded to the nearest one hundred?\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (17 + (-21 - -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 8:04 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1547, -3, 0.4, 1\/9, -7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29620 is divided by 29602?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -40.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 + m**5\/20 + m**4\/8 + 2*m**3\/3 + m**2 - 13*m. Let j be q(-2). Solve j*s = 4*l - 22, -4*s + 5*l - 19 = 2*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 - -2.8. Which is the closest to z? (a) -3\/2 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 22. Suppose 4*t = 4, -4*t + 23 - 4 = -w. Let g be h(w). Suppose -15 - g = -2*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**19))\/(p\/p**16))**(1\/6) assuming p is positive.\nAnswer: p**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1446 times -57\nAnswer: -82422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 5*c**2 + 3*c**2 - 3*c**2. Let y(n) = 2*n**2. What is y(r(q))?\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 3\/((-60)\/8). Factor 2\/5*y**4 + d*y**3 - 2\/5*y**2 + 0 + 0*y - 2\/5*y**5.\nAnswer: -2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12 = m, -3*m - 3*j = -0*m. Let i be 115 - (3 - m\/2). What is the highest common divisor of 74 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, w: 2, d: 1}. Give prob of sequence rd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(7770\/(-2200)) + -6?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37653703 rounded to 4 decimal places?\nAnswer: -0.3765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 15, 3*g + 25 = 5*k. Solve 11*v - 15 - 7 = g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299\/(-4784) + (-2413)\/304 + 2\/((-4)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*l + 2*t + 45 = -6 - 4, 9*l + 2*t - 395 = 0 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -29, -35, -29, -5, 43?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107676, 215351, 323028, 430707, 538388?\n\"Answer: g**2 + 107672*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1731201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a02 - -3?\nAnswer: -39bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -23*j + 506. What is t(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2149 - 928. Suppose -10*m + y + 1709 = 0. List the prime factors of m.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5472 and -0.2.\nAnswer: -1094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2320 and 584524?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 1781\/(-390)*-6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**3\/3 + l**2\/2 - l + 19. Give a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1189 + 1273. Calculate the remainder when z is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136022 is divided by 7995.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054 + 5078 + (-1 - -26)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 390.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(110)\/(sqrt(99)\/sqrt(9))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3702 + 3822. What is the greatest common divisor of 1000 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m - 8*m)*(2*m**3 + m**2 - 2*m**2 + 0*m**3) to the form r*m**2 + i + x*m + h*m**4 + q*m**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w + 225 = 0. What is the common denominator of w\/24 - (-11 + (-21)\/(-3)) and 3\/121?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 59 = 34. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 5*k**2 - 6)*(2 + 2*k - 2) to v + x*k**3 + q*k**2 + p*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*v**4 - 364*c**3*v**3 - c**3*v - 13*c**3 + 80*v wrt v?\nAnswer: -24*c**3*v**2 - 2184*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 156\/13 + -29 + (0 - (-1 - 1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9316 + 18?\nAnswer: 9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/120 - 2*f**5\/5 + 25*f**4\/24 - 43*f**3\/6 + 62*f**2. Let r be s(23). Solve -r = -m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -1, -66, 2, 0.4, 3?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6\/5, -0.05, 1, 0.3.\nAnswer: -2, -6\/5, -0.05, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 - 2*c - 10. Give d(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-250)\/((44\/(-8))\/11). Suppose j = -4*j + z. Suppose x - 4 = 2*o - 47, 5*x + j = 5*o. What is the highest common factor of o and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -3 - (4 + -14 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53170069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 - 6) + (21 - 25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**5\/7 + 384*o**4\/7 - 3636*o**3\/7 - 1001936*o**2\/7 - 16459776*o\/7 - 50135040\/7 = 0.\nAnswer: -64, -15, -4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45991\/8 - -5749. Sort z, -5, -1\/3, 1\/2, -2 in ascending order.\nAnswer: -5, -2, -1\/3, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25762762?\nAnswer: 2, 43, 299567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -17, 5 in descending order.\nAnswer: 5, 1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4551*b - 18214. Calculate d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from fofoffffofo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times 0.126\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 10*h**2 - 46*h - 22. Let m be ((-39)\/15)\/((-6)\/15)*-2. Let y be t(m). What is the greatest common factor of 207 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -8335?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.214 years in decades?\nAnswer: 21.9214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n - 2. Let c(f) = 25*f - 5. What is 5*b(r) - 2*c(r)?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.748901 - 0.273?\nAnswer: 354.475901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110068233*r**2 - 275069277 wrt r?\nAnswer: -220136466*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 16. Suppose 0 = -c - 5*w + 452, 1016 = 3*c - a*w - 357. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 203576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1250, 3648, 7194, 11888, 17730, 24720, 32858?\nAnswer: 42144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 3*m)*(-1 - 1 + 0) - 7*m + 12*m + 1 - 17*m.\nAnswer: -8*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504659 take away 225?\nAnswer: 1504434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*k + 53, -547*k + 548*k - 3*d + 7 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7*2\/4)\/(-193*21692\/(-861938))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/8)\/((-6)\/16). What is the remainder when 3\/(w\/364) + -4 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5355?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1, -4*a - s = 2*s + 3. Suppose -4*v - 1352 + 4276 = a. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:22 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m**2 + 50151*m**3 - 50150*m**3 + 14 + 204*m - 203*m in the form h*m**3 + r + j*m + y*m**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162255623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjjbmjm. What is prob of sequence mjj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60471 or 3?\nAnswer: 60471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w - 99135 + 100031 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 + 10*n - 12. Let p be j(9). What is the units digit of 2 + p + (9 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -600*b**2 + 34*b + 512. Let y(f) = 599*f**2 - 26*f - 514. Let r(t) = 4*y(t) + 3*z(t). Find the second derivative of r(a) wrt a.\nAnswer: 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05923395 + -0.1\nAnswer: -0.04076605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4106 + -2699. Calculate the lowest common multiple of 7 and i.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/3*b**2 + 0 - 8*b - 2\/9*b**3 - 1\/18*b**4. Factor v(t).\nAnswer: -2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 divided by -67?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2100 = -10*i. Suppose 31*m = 28*m + i. 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 315 minutes before 9:11 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 4*k**4 - k**4 + (0*k**2 - k**2 - k**2)*(-k**2 + 0 + 0) - 21318*k**4 + 3*k - 4*k - 249 + 21313*k**4 - k**3.\nAnswer: -7*k**4 - k**3 - k - 249","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/21 - 281300*k\/3 + 69238478750\/3 = 0. What is k?\nAnswer: 492275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3390873224 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 69.39907 years?\nAnswer: 0.06939907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d. Let c = d - -4. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w + 8. Let v be m(6). Suppose -3*t - v*g + 24 = 0, -g - g = -2*t + 26. What is the smallest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let n = -20 + 25. What is a(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.069 + -0.023. Let h = j + -0.056. Let m = h + -0.99. Which is the nearest to m? (a) 0.5 (b) 7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*u + 6*u + 1 - 1 to z*u + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049944287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2482 is divided by 743.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4365 by 1455.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/1878 + -15493\/19406. Find the common denominator of (2 + (-260)\/(-12))\/(-1) and i.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 395 - 8*t**3 + 374 - 787 + 2*t - 8*t**3 as c*t**3 + g*t + i + n*t**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*x + 80249, 15054 + 65210 = 3*k + 2*x. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000398567 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0623672+357616\nAnswer: 357616.0623672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-10)\/(-3))\/(-5))\/((-4)\/198) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 5*a + 3. Let q be p(4). Let z be q\/(-21)*(-30)\/(-5). Sort z, -0.4, 2\/3 in ascending order.\nAnswer: -0.4, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -1. Suppose -21 = 4*t - 3*h, t + h + y*h = 6. Sort 5, -1, t in decreasing order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131 - 131 + 2*z + 4*z**3 - z**4 + 2*z**2 in the form b*z**2 + c*z**4 + y*z + o + t*z**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -751440?\nAnswer: 751436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 813343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159600 and 503120?\nAnswer: 52827600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -46, 245, 33.\nAnswer: -46, -13, 33, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 22553?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1933, 1927, 1919, 1909, 1897?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -375 - -374.996947. Let b = 0.0033 + a. Round b to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-12))\/(2 + 6507\/(-3252)). Let r = 1627\/2 + v. Which is the closest to -1? (a) 7 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r + 349 = 3*b + 448, 5*b = 3*r + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/((-4)\/((-40)\/5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 26\/23, -1\/2, -2, 0.5, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10995, 15503, 20009, 24513?\n\"Answer: -a**2 + 4511*a + 6485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72367 plus -15?\nAnswer: -72382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 62 + -37 - 52 - (0 + -1 + 65)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6355 - 6355. Solve -3*d + 3*s - 9 = w, -3*s = -d - 94 + 87 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m**4 - 93*m**4 + 118*m**4 - 17 + (-2*m**3 + 5 - 5)*(3*m + 3*m - 4*m) to the form o + x*m + f*m**2 + z*m**4 + y*m**3 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 2 g when four letters picked without replacement from {k: 3, g: 2, w: 3, x: 1, p: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - f)*(-3 + 2 - f + 0*f)*(5*f - 6*f - 3*f).\nAnswer: -4*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 116, 46, -50, -172, -320?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 - 412. Suppose w - m*q = -23*q + 686, 3*q = w - 681. List the prime factors of w.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(110)*-2)\/sqrt(180))\/((sqrt(11) - (sqrt(44)*-4)\/sqrt(4)) + sqrt(110)\/(sqrt(10) + (sqrt(10)*-3 - sqrt(10) - sqrt(10)))).\nAnswer: 40*sqrt(2)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3717 kilograms in milligrams?\nAnswer: 5371700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20694 is divided by 4115.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (101 - 56 - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 202*n - 166. Does 12 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/11 + 10940*w\/11 + 4354002 = 0. Calculate w.\nAnswer: -2871, 8341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*y - 15 = 0, 5*m = -0*m + 3*y + 6. Sort m, -112, -2.\nAnswer: -112, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = -200. Suppose -7*z + 10*z = 30. What is the highest common divisor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 17 + 17. Let c(d) = 7*d. Give n(c(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*105\/(98175\/34).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20555 and -26?\nAnswer: 534430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140175 and 1132425?\nAnswer: 100785825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78237 and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*6\/4*(-8)\/3. Solve 3*x - g = 3*k, -4*x + x = -k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64.6937 and 1120852465.\nAnswer: 1120852529.6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k + 210 = 37*k. Is 18 a factor of ((-9 - 15) + 6)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-19) + (-624)\/(-1235))\/(2145\/325).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 590 + -582. Suppose v*b - 80 = -12*b. Let k = 58 + -106. Put -4, k, b in descending order.\nAnswer: b, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 6 = -14*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from {z: 5, w: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -390.\nAnswer: -7\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124105101 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 464.\nAnswer: -1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22919 - -22915. Let y(h) = h**3 + 1. Let a(k) = 3*k**3 + 4. Let f = -2 + 3. Give f*a(x) + o*y(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f. Let q(v) = -16*v**2 - 2*v + 35206. What is w(q(s))?\nAnswer: -64*s**2 - 8*s + 140824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 4549545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 57 + (2 - 1) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -517465 times -0.4?\nAnswer: 206986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -121, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/196 and -10\/972601?\nAnswer: 3890404","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 2592*z**2 + 6*z**3 - 1 - 2599*z**2 - 7*z**3. Let i(v) = v**3 + 7*v**2 + 7*v - 2. Let k be i(-6). Determine s(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 13*h**2 - 4*h - 29. Let q be n(-6). What is the tens digit of ((-4)\/(-5))\/(9953\/q + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 45*g + 166. Let o be z(4). Which is the second biggest value? (a) -1\/2 (b) -3 (c) o (d) -1 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13.5. Which is the third biggest value? (a) 4\/3 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -149*k**3 + 5*k**2 - 8*k + 2. Let z be 0 + 140\/44 + (-6)\/33. Let m be h(z). What is m rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*w, -10 = -3*n - w + 3. Find the common denominator of -59\/4 and (50\/18)\/n*13.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 3. Let z be k(-2). Suppose p = 4, 4*i - 2*p - 31 = 53. Let h(c) = -i + 17 + z + c. Calculate h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3267260 take away -0.1?\nAnswer: -3267259.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 25, 20\/3, -4, -5\/2, -2\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o - 334. Give h(30).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/6)*(f**5\/f)\/f*(f*f**(-4\/7))\/f*f\/(f**11*f) assuming f is positive.\nAnswer: f**(-353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34430 and 41150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11195*m**3*r**3 + 19*m**2*r - 182*m**2 - r**3 wrt m?\nAnswer: 67170*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/888 and 61\/40704.\nAnswer: 1506048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 2}. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.2944 and -2.\nAnswer: 36.5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -4, 0.01, 0.9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j*r*v**3 - 5790*j*u**2*v + 443*r*u**2*v**3 + 18*r*v**3 with respect to j.\nAnswer: 5*r*v**3 - 5790*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 150 = 4*j + 161, -4*j = d + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 72. Let k = 432 - l. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 46 - 29 = 0. Solve 3*a - s = -19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 309582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:37 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from kvfcvfvvfvfcfccf?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 666 and 233615262?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllzl. What is prob of sequence ll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/21, 0.5, -0.083, 4?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18866 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(2\/(-26)*-13).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2475 + 255. Let t = -549 + v. Calculate the least common multiple of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 199048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + 22 + 52 + -12 + 10 + -8.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/120 - 13*j**5\/60 - j**4\/8 + 5*j**3 + 8*j**2. Let a be o(-9). Let s = -112 - a. Is s a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from -37289265016.\nAnswer: -37289265016.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10000011100000001 (base 2) to base 7\nAnswer: 400203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 4*k - 7. Let d(z) = 2*z**2 + z + 1. Determine -b(t) + 4*d(t).\nAnswer: 5*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 86179*a - 43091*a = 43092*a - 3 - 17, k = -9*a + 5 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 62.45187mm?\nAnswer: 62451870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 57*l + 42. Let f = l + 23. Solve 3*r = f*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 28 - h**2 - 12 to b*h + q + w*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-12) - (-69)\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37917009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431649369 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/25)\/((104\/60)\/13).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - j)*(-5*j**2 + 3*j**2 + 4*j**2) + 248*j**2 + 22*j**3 - 248*j**2.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18552.5 and -2.7455428.\nAnswer: 18549.7544572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5004 + -4949.51. Let g = b - 0.49. Sort -3, 2\/11, g in ascending order.\nAnswer: -3, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87551820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 2. Let a = -4 + 3. Let p be 1 + a + -3 + 9. What is j(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwfwwwfwdwwwjjfd. Give prob of sequence fjfw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.36 + -17.36. Which is the third smallest value? (a) -4 (b) -0.064 (c) w (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900048655 to the nearest integer?\nAnswer: 30001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -353, -525, -695, -863, -1029?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 5*u - 30*u**3 + 50*u**3.\nAnswer: 20*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(539) + -4 + sqrt(539) + 5))**2.\nAnswer: 3024*sqrt(11) + 77940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304849764029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m. Let c = m + 1. Differentiate -a + 0 + c + 0 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5820748.\nAnswer: 2, 23, 151, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 52*f**2 - 443*f + 10515. Determine r(27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 3:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -10. Let p be (-2 - 21\/o)*-10. Let u be (2 + (-15)\/p)*-4. Solve u*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/21*((-108985)\/63900 - (-4)\/(-90)). Let z = 0.7 - 0.4. Sort -17, z, -2\/9, b in decreasing order.\nAnswer: b, z, -2\/9, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/120 - t**4\/24 - t**3\/6 + 4*t**2. Let p(u) = 7*u**3 - 3*u - 5. Let k = 10 - 5. What is k*z(i) - p(i)?\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d. Let y(h) = -h**2 - 4*h - 4. Let i(s) = s**2 + 7*s + 7. Let a(l) = -4*i(l) - 7*y(l). Calculate v(a(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and (9\/2)\/((-20)\/(-32)) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252)*-2 + -2*sqrt(252)*5 + sqrt(252))*1)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmzmzmzmmmz. What is prob of picking 1 m and 2 z?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 3*w - 2*w)*(w**2 - w**2 + 2*w**2) + 7 + 7*w**3 - 5*w**3 + 3*w - 6 as o*w + t*w**2 + q + r*w**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Let y = 73.005 - 73. Let c = 0.995 + y. What is the nearest to 0 in l, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -603*n**4 - 3060 - 2057*n + 245*n**3 - 688*n + 300*n**4 + 298*n**4 + 565*n**2 = 0.\nAnswer: -4, -1, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrcrrrcr. Give prob of sequence crc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -50714.629 rounded to the nearest one thousand?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -262147 + 262147 - 199*t + 2*t**2 - 2*t**2 + 9*t**2. Let r(c) = -2*c. Determine r(j(b)).\nAnswer: -18*b**2 + 398*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -2*t - 12. Suppose 0 = 3*j - o + 3*o - 47, o - 31 = -t*j. Solve -j = -3*a, 16 + 14 = 5*c + 4*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7015480.000505 - 7015400. Let j = c + -80. What is j rounded to five dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299, 1355, 1411, 1467, 1523?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 2 - (-19 - 2). Calculate the common denominator of (91\/o)\/((-8)\/22) and 5\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 - -1b324?\nAnswer: 1b283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14549 divided by -21?\nAnswer: 14549\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, -5, -2.\nAnswer: -24, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4180, 4531, 4892, 5269, 5668, 6095, 6556?\n\"Answer: i**3 - i**2 + 347*i + 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.105*-46861\nAnswer: -4920.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3724 - 1471. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5512*c**2 - 39. Let q(d) = -551*d**2 - 4. Calculate 39*q(m) - 4*s(m).\nAnswer: 559*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*z**4 + 9*z**6 - z**2 + 187*z**4 - 94*z**4 wrt z?\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -23, 5, -30, -103 in increasing order.\nAnswer: -103, -30, -23, -10, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)\/(w*w*w**(-2\/3)*w))\/(w**(-11)*w\/(w**(-4)\/w)) assuming w is positive.\nAnswer: w**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 9:02 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w**2 + 113. What are the prime factors of g(0)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -730*l - 403916. Calculate y(-553).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 3. Let r be o(6). Suppose 4*g = 4*p + 8, -r*g = -4*p - 0*g - 3. Which is bigger: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2*l - 1. Let q be h(3). Suppose -q*w = -i - 6*w + 44, 0 = -5*i - 5*w + 190. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*d - 3*r, -d + 2*r + 15 = -r. Let g(y) = -y**3 + 8*y**2 + 10*y. What are the prime factors of g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*n**2 + 9*n + 2 - 4*n + 11*n = 0. What is n?\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 30. Let a(u) = u**3 + 13*u**2 + 13*u + 14. Let y be a(p). Let 0*m**2 + m**2 + 3*m**y - 6*m**2 + 4*m = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*(-54)\/(-24))\/(18*(-44)\/(-17952))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 14*l + 11. Let z be d(-5). Let v = 68 - z. Factor 0 - 1\/4*m**v - 1\/4*m.\nAnswer: -m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -506 not equal to -5564\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -90*c**3\/7 - 5858*c**2\/7 + 5420*c\/7 + 528\/7 = 0. Calculate c.\nAnswer: -66, -4\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1776\/(-12) - 17)\/((-35)\/14).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 13 + 0*p**3 - 6*p + 5 as u*p + b + h*p**2 + x*p**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 4*v + 4*j, 4*j - 72 + 480 = -25*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474 by -79.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 13 (b) 4\/113 (c) -219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 1. Let j(w) = 5*w + 1. Let i(d) = 4*a(d) + j(d). Suppose 0*k - 311 = k + 3*p, -5*k - 1483 = -3*p. Let r = k - -299. Give i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 5) in base 6?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*(-135)\/378?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:12 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 7, l: 2, b: 1, m: 8, f: 1}. What is prob of picking 2 a, 1 f, and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {y: 1, a: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 623 + 162. Suppose -p + 4*p = 4*j + 134, 4*p - j - v = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2100, 8130, 18176, 32238, 50316, 72410?\n\"Answer: 2008*s**2 + 6*s + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2 + (2 - 4 + 3)*(-3 + 3 - 2))*(-6*g + 30*g + 97*g).\nAnswer: -605*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-55)\/44)\/(1\/(-52)) is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10859, 21719, 32573, 43421, 54263?\n\"Answer: -3*r**2 + 10869*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 460*r - 5182. What is q(11)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 5)*(-2*k + 3*k - 2*k + (2*k - 3*k + 3*k)*(0 + 0 + 2) + (-k + 0 + 0)*(-1 + 6 - 1) + 8 - 2*k - 5 + 7).\nAnswer: 21*k - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exuusxxsllss. What is prob of sequence xxe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -197057 or -764?\nAnswer: -764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n - 8. Let k(g) = 17*g + 13. Calculate -4*k(p) - 7*r(p).\nAnswer: -12*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4753 + -4774. Do l and -648\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1585429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 85 - 77 + 23*v**2 - 27*v**2 + 244.\nAnswer: -4*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - 13*a + 38. What is h(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 890, 2738, 5642, 9602, 14618, 20690, 27818?\n\"Answer: 528*b**2 + 264*b + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.9. Let x = 242162 + -242162. Which is the closest to t? (a) -1\/2 (b) x (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**31*y)\/(y\/(y*y*y**(-2\/17))*y)*(y*((y*y\/(y*y**(1\/2)\/y*y)*y)\/y)\/y)\/((y*y**(-20))\/y) assuming y is positive.\nAnswer: y**(1781\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89892205 divided by 6.\nAnswer: -89892205\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.5 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5.5. Let j = x - 12. Let w = j + 10.500043. Round w to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0155 * 48.6\nAnswer: -0.7533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 9 = 11*i + m, -4*m = 3*i - 62. Let y = -32 - -88. Calculate the smallest common multiple of i and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054214 to five dps.\nAnswer: 0.00542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1384 divided by -173\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 3*k, k = 3*k + 5*v + 15. Let m be 3\/(0 - (-1 + k)). Suppose 11 = m*z - 22. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16b8c23 (base 14) to base 7\nAnswer: 164140643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121156, -484622, -1090412, -1938538, -3029012?\nAnswer: -4361846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 663 and -1345.979543.\nAnswer: -682.979543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = 20121*r - 20126*r for r.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32496667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1476 - -1586. Suppose -3*z = 2*z + t + 5, 3 = z + t. Let x be (z - -1) + 24 + -1. What is the highest common divisor of x and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x - 152. Let b be h(12). Solve -3 = p - 4*i + 4, 5*p - b = 3*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -1664, -2497, -3330, -4163?\nAnswer: -4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jblbjjljjyjqbl. What is prob of picking 1 y and 3 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let d(v) = 948700*v**2. Give d(y(f)).\nAnswer: 3794800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1 - -1 - 6*(-7)\/42). Let i(w) = -9*w**2 - 7*w - 2. Let c(f) = 4*f**2 + 3*f + 1. Let o(v) = -7*c(v) - 3*i(v). Calculate o(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248075.2 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5007 + 0.498067. What is s rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927621.8ng to milligrams.\nAnswer: 0.9276218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 4*l - 9*l to the form b*l + z and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a. Let g = 4 + 3. Let k = -6.6 + g. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.8, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5752815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5\/4))\/(b**2*b)*b**(-3)*b\/(b**(-1\/2)\/b*b) assuming b is positive.\nAnswer: b**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 14*o + 9. Let y be f(-14). Suppose 0 = -y*g + 4*g. Is (-36)\/(-12) + g + 155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + 15 + (-49 - -29) + 30.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*(442\/(-39) + 9)*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3121*a**3 + 67 - 110 + 43 + 586*a**3.\nAnswer: -2535*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 21 = -8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 59 = n + q, -2*q = -4*n + 98. Let k(p) = p**3 - 8*p**2 - 10*p - 10. Let a be k(11). What is the highest common divisor of n and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6662 + -344?\nAnswer: 6319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/6 (c) 6\/11 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 392, -2, 6, 4 in decreasing order.\nAnswer: 392, 6, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s*z**3 + 6*s*z + 1563*z**3 + 2*z**2 + 234*z wrt z?\nAnswer: 6*s*z + 9378*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -11. Let m be 4 - 752\/184 - (-824)\/(-46). Are m and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495620297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8006 + -8010. What is the fourth biggest value in -1\/2, -195, h, 1, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44a (base 11) to base 14.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181173063?\nAnswer: 3, 17, 29, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7459281.77 to the nearest ten thousand.\nAnswer: -7460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9)*18\/(-10). Let r = -123 - -124.07. Let k = -0.07 + r. Put k, 4, p in increasing order.\nAnswer: p, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*f - 86 = -6, -4*f + 16 = 0. What is the remainder when 45 is divided by (1 - 3)\/((-2)\/y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 25*i**2 - 43*i - 41. Give x(6).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 11*p + 7. Let z(k) = k**3 + 6*k + 4. Let o = -3 + 14. Suppose -2*l - 7 = 5. Calculate l*a(f) + o*z(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931870 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 48. Suppose 2*p - 6 = -0. Sort p, -4, f in increasing order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -48.61, 4, -3, -0.05 in increasing order.\nAnswer: -48.61, -35, -3, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635383?\nAnswer: 7, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) 4 (c) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3 - 18819*f*s**2 - 18*f + 174*s**2 + s - 1230 wrt f.\nAnswer: 9*f**2 - 18819*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/13230 and -77\/240.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132816, -132758, -132652, -132492, -132272, -131986?\n\"Answer: h**3 + 18*h**2 - 3*h - 132832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 1)*152\/(-32). Let t = -3 - n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:32 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1790399*t**4 + 383776*t - 2 wrt t.\nAnswer: -21484788*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l. Let x(i) be the second derivative of -i**6\/240 + i**4\/4 + 3*i. Let f(k) be the third derivative of x(k). Determine f(u(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 105623.43804 - 0.2043?\nAnswer: 105623.23374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 3*d + 6. Let q = 9 + -7. Let o(j) = -j**3 + 3*j**2 + j - 2. Let x be o(q). What is the tens digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05342 * 186\nAnswer: -9.93612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137, 1137, 1135, 1131, 1125?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 1027 = -1097 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/5)*f**(2\/7)*(f*f**7)\/((f**5\/f)\/f) assuming f is positive.\nAnswer: f**(143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/182356969?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -229, 5, -4, 3 in ascending order.\nAnswer: -229, -56, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.23212 times -262.27\nAnswer: -60.8781124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*x - 2*x - 28 = 0, x = -4 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1267 + -1195. Let j(g) = -9*g. Let d be j(-1). Calculate the highest common divisor of d and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -28*t**2 - 2647*t - 1588. What is s(-94)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/690 and -97\/12.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -72391?\nAnswer: 72388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-16)\/d**(4\/5) assuming d is positive.\nAnswer: d**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 177\/6)\/(66\/227876) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -79*m**4\/2 - m**3\/3 - 74*m**2 + 46. Find the third derivative of g(c) wrt c.\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1170, -0.09, 9, -3\/2 in decreasing order.\nAnswer: 1170, 9, -0.09, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461\/2 + 266. What is the common denominator of (1476\/108)\/(-1 + 0) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161862185 divided by 214387?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76932521, -153865043, -230797565, -307730087, -384662609, -461595131?\n\"Answer: -76932522*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42.8? (a) -2\/11 (b) -3\/77 (c) -1 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27632 and 1976944?\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-728)\/624*((-55)\/(-35))\/((-3)\/3)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/21)\/(-2))\/(-6*40\/1120).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*b)*(8 + 9 - 3) + (-5*b - b + 5*b)*(0 + 1 + 0) + 1 + 2*b - 1 - b + b + 2*b + 2*b - 3*b + 3*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.3, 12, 2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 59992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose -3*n + 12 = 4*r, k*n + 14 = -r - 0*n. Sort -0.4, r, -5 in ascending order.\nAnswer: -5, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/28)\/(21\/1127). Put -3, n, 36, 5 in increasing order.\nAnswer: n, -3, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-33) + 361\/11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -0.06. Which is the nearest to -0.1? (a) u (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/2))**(-44)*(q**19)**(-21))**(-2\/3) assuming q is positive.\nAnswer: q**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -37, -2 in descending order.\nAnswer: -2, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-385)\/(-129) + -1 + (-102)\/51. Let l = t + 268\/645. Which is the smallest value? (a) 4 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = 5. Suppose -j = f - w + 3, -f - 2*j = 0. What is the derivative of 2*l**2 - f*l**3 - 2 - 2*l**2 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 91 = -4*f, 4*q - 2*q - 3*f - 42 = 0. Let l be (25 + -22)*(-10)\/1. Let n be ((-144)\/q)\/6*l. Calculate the highest common divisor of n and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 777.66 times 0.4\nAnswer: 311.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*r = 72, -4*r = -4*n + 42 + 38. What is the least common multiple of 40 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -91.4244?\nAnswer: -91.4244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Suppose -3*r - 27 = 5*y - u*y, 9 = -3*y. Let m be (9\/(-27))\/(r\/(-3)). Put -0.7, 0.2, m in ascending order.\nAnswer: -0.7, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*f + 30401 + 26059 = -1612*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 1111*i + 561741\/4.\nAnswer: -(i - 4567)*(i + 123)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.33 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1471.16652 - -1471. Round m to 3 dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1633 divided by -16.\nAnswer: 1633\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163371366 is divided by 9076187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 7*t**5\/120 - t**4\/24 - 7*t**3\/3 + 8. Let y(w) be the third derivative of f(w). Find the first derivative of y(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = -2*m - 12, 2*k - 2*m = 6. Which is the closest to k? (a) -1\/6 (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3421034400 (base 5) to base 3.\nAnswer: 112021221001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hufz when four letters picked without replacement from fzfhfchvhcfcuh.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/3 + 68*m**4\/3 - 292*m**3\/3 - 3632*m**2\/3 - 2590*m - 1500 = 0.\nAnswer: -3, -2, -1, 15, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14215656 divided by -618072.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 12:27 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.1 + -15.1. What is the third smallest value in i, -5, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4521, 36353, 122779, 291099, 568613, 982621?\n\"Answer: 4550*s**3 - 3*s**2 - 9*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7113, -7, -1\/56, -5\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 (base 10) in base 9?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9044 and 9?\nAnswer: 81396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - r = 4, -436738*w - 3 = -436740*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*u - 5*s = 0, 4*u - 5*s = -27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**5*i**3 - 372147*c**3*i**3 - 1657289*c**2*i - 2*c*i**3 + 2 wrt c?\nAnswer: -540*c**2*i**3 - 2232882*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-26) - 320\/(-6240)) + 8\/(-3). Let u(j) = 1 - 3 - j**2 - j - 2*j. Give u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -82*q**2 + 5656*q - 98. Let x be d(69). Which is bigger: -265 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*k - 5*p, 4*p + 9 = 25. Suppose -4*h + 24 = 2*i, k*h - 3*h - 93 = -5*i. Calculate the remainder when 71 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 2. Let l be t(1). Let a = 2 - l. Solve a*f - 7 - 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z + 2. Let u be k(-6). Let s be (73 + -3)\/10 - (-2 - (-5 + 1)). What is the greatest common divisor of s and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39720?\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 5. Let o be i\/((-1)\/2 + 0). Suppose -3*t + o = 1. Put t, 1, 0 in increasing order.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112628, 112565, 112368, 111971, 111308, 110313, 108920?\nAnswer: 107063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 17*l - 9. Let v = 12 + -7. Let p be d(v). Let a = -41 + p. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + l**3 - 2*l + 5*l**2 + 6*l + l**3 in the form m + y*l**2 + k*l + v*l**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/((-2)\/10). Let r = 127\/2 + -65. Let p = -29 + 28.7. Which is the nearest to g? (a) p (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -507616 (base 15) to base 11\nAnswer: -2180479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (880\/11)\/((-10)\/(-4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 4*n - 57\/4.\nAnswer: (n - 19)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/12 - 41\/4. Let y(n) be the first derivative of n**3 + 6*n**2 + 11*n + 1. Let a(b) = b**2 + 4*b + 4. Let v(p) = w*a(p) + 4*y(p). Determine v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 51b033?\nAnswer: -51b038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeteeee. What is prob of sequence eet?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*h**4 + 11*h**2 - 28\/3*h - 20 + 0*h**3 = 0 for h.\nAnswer: -6, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118 = -7326*i + 7283*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-1)\/2). Let r = -216 - -1087\/5. Calculate the common denominator of x\/(-4) - 186\/(-56) and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lljjjjljljj. Give prob of sequence ljll.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-14 - (5 - 10))) + (-5 + 15 - 69)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11073 = n, r + 436 + 3255 = -2*n. Let s = 5201 + r. List the prime factors of s.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 693476592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/16 (b) -5 (c) 3 (d) 0.6 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 307*k**3 - 2*k**2 + 3*k. Let s = 508 + -430. Calculate the remainder when m(1) is divided by s.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:17 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - 26*a**3\/3 + 125*a**2\/2 - 100*a - 1165. Find b such that g(b) = 0.\nAnswer: 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 296 - 332 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/533 - -523\/2665. Which is the closest to 1? (a) -0.2 (b) -4\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - p = -5*p + 1, -2*n - 2*p + 2 = 0. Let y = 6 - -6. Let b be (-3)\/y + (-17)\/(-4). Solve 0 = -3*l - n + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 14\/(70\/(-763065)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006906399 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f. Let p be w(-1). What is the highest common divisor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**3 - 103*f**2 + 119*f + 66. Determine a(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041008480 a multiple of 2546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and ((-4)\/(-3))\/(246972\/12348 + -20).\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 49 = h + 9, -t + 10 = -4*h. Let l = -4 + 19. Let k = l - t. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 6 + 17. Is (-11 + o - -58)*11\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -1)\/(1\/2). Let g = -9 + f. Let j = g + 7. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k. Let n(o) be the third derivative of -o**5\/30 + 6*o**2. Determine n(w(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 13 + -11 + 14)\/(9*12\/2538)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d - 2. Let c be p(-2). Let z = -45 - -221. What is the greatest common factor of c and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5109, 4995, 4687, 4089, 3105, 1639?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + -6 + 3 + (-2 - -38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 5779560*t + 277409664.\nAnswer: 4*(t + 48)*(t + 1444842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -33*m**3 - 130*m**2 - 853*m - 3403. What is c(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -101.996. Let j = -5.004 + r. Sort 0.1, -1\/3, j in descending order.\nAnswer: 0.1, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 2. Let g be h(3). Let n(s) be the second derivative of s**4\/12 - 3*s**3\/2 + 2*s**2 - 6329*s. What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40279 is divided by 601.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*b*x**2 - 109*a*b*x - a*b + 155*a*x**2 - a*x + 2*a - 49403*b*x**2 + 2*b*x + b - 2344 wrt x.\nAnswer: 6*a*b + 310*a - 98806*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 1. Let b be t(4). Suppose k = -h - h + 6, 4*k + 3*h = b. Suppose 5*a = -k*a + 85. What is the highest common divisor of 85 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108019*w**4 + 2*w**2 + 31737 wrt w?\nAnswer: 2592456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67231 is divided by 1268.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*d - 30 = 0, 111*d - 116*d = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 12*m**2 - 46*m - 444. Calculate r(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 5, -3, 13 in ascending order.\nAnswer: -3, 5, 13, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**5\/3 + 95030*p**4\/3 + 253315*p**3 + 474880*p**2\/3 - 1329860*p\/3 = 0.\nAnswer: -18998, -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/21)\/(6468\/(-4704))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1\/2. Let n be 714\/30 + -1*3. Let d = n + -21. Which is the smallest value? (a) d (b) -0.09 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 12:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 = -u + 5*u, -2*r - 2 = 0. Determine a so that 12*a + 14*a**2 - 2*a**2 - 3*a + 0*a**3 + u*a**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64326 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 685\/(-100))*44\/11. Factor n*b + 3\/5*b**5 - 3\/5*b**4 - 3\/5 + 6\/5*b**2 - 6\/5*b**3.\nAnswer: 3*(b - 1)**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-70))\/((16\/320)\/((-1)\/6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/173855 and -51\/205465.\nAnswer: 2260115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1114 - 1044. Calculate the lowest common multiple of 229\/11 + (-6)\/(-33) and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 282, 0.125, -6 in ascending order.\nAnswer: -6, -4, 0.125, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 15. Let g be s(3). Let l(h) = -2*h + 27. Let v be l(g). What is the greatest common factor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqxuuq. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + (-4 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-1)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1491*z**5 + 497*z**4 - 9*z**2 + 6008*z + 9 wrt z.\nAnswer: -89460*z**2 + 11928*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710932337.\nAnswer: 710932337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13*(-2)\/(-4) - 6. Which is the third biggest value? (a) 4 (b) y (c) -0.03 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 0.9. Let h = 1.9 + -2. Put j, h, 3 in descending order.\nAnswer: 3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79562495 to the nearest integer?\nAnswer: 8920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -650814, -1301670, -1952524, -2603376, -3254226?\n\"Answer: d**2 - 650859*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2 and 145\/2214.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 389.7.\nAnswer: 387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**3 - 471 + 36*o**3 + 471 - 72*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/7*q - 2\/7*q**2 + 0 = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 422*d - 8952 + 622 = 15916 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(3\/4))**(1\/33) assuming z is positive.\nAnswer: z**(-1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 3*a - 3 = 0, -5*a = x + 13. Let f = -10 - -17. Suppose 3*r + f = b, 9 = 3*b + r - 2. Solve -b*y + s = -4*s - 13, 3*y = -4*s + x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwoq when four letters picked without replacement from {o: 1, b: 6, y: 2, v: 1, w: 2, q: 7}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 15. Let u(x) = x**3 - x**2 + 49. Does 8 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7271841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*q + 20 = j, -3*j + q = -21. Suppose 0 = 332*y - 327*y - 160. What is the highest common divisor of y and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*d**3 - d + 36*d**3 + 10*d**2 - 27*d**3 wrt d.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 4 - -1) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 23*p - 53 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 2*y + 1. Let o be z(-4). Suppose -54*j = -104 - 112. Let r be 44\/5 - (j + o\/(-25)). Calculate the greatest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.1 - -15. What is the smallest value in 2, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 702093\/54 + 2\/3. Let h = -40778 - -27781. Let j = h + r. Calculate the common denominator of j and -13\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001732 and 1520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 7*z - 2 as i*z + k and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54226?\nAnswer: 2, 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-2 + sqrt(832)*3))*-4.\nAnswer: -8 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8.7 or -1\/5?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-m**4 + m**4 - m**4) + 6*m**4 - 8 + 8.\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 2. Let l = -10.3 - -2.3. Let s = l - p. What is the third smallest value in -2\/13, s, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292 and 6.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xllx when four letters picked without replacement from lzzxzxlzzzljl.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**2 - 3478*f + 160992.\nAnswer: (f - 208)*(13*f - 774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4525 (base 6) to base 2.\nAnswer: -10000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 equal to 0.02488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -2*r - 3*v - v, 0 = 4*v + 8. Suppose -3*h + r = 5*g + 14, 4*h - 64 = -5*g. What is the remainder when (-7 + 37)*(0 + 1) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*w + 38 - 90 = 0, -2*f - w = -132. Let u be 4\/6 + f\/6. Let c = -5 + u. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 7*p)*(0 + 3 + 1) + (p - 6 + 6)*(-3 + 0 - 1).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -33652.\nAnswer: -33651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*-1*28\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 - 0.8. Let g(a) be the first derivative of -a**4\/2 + 5*a**3\/3 + a**2 + 9*a - 40. Let k be g(3). Put p, k, -0.3 in descending order.\nAnswer: k, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.003 + 0.103. What is the nearest to y in 2\/5, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 5*h + 3. Calculate m(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1\/(1 + -2)*1. Solve -4*g + 12 = -3*b + 4, -g + c = -b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829932 is divided by 141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.9, -1.57962, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 399 - -2?\nAnswer: 39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 554 and 8?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b**2 - 2*b + 30. Let s(p) = -17*p**2 - 2*p + 29. Let z(u) = -6*g(u) + 5*s(u). What are the prime factors of z(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/7 - 1208*f**4\/7 + 23594*f**3\/7 - 136980*f**2\/7 + 189216*f\/7 = 0. What is f?\nAnswer: 0, 2, 9, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + x + 120, 4*x + 30 = -43*k + 19*k + 23*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5111884 (base 9) to base 14.\nAnswer: 50cb48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 133*o**2 + 3*o + 2. Let i be z(-4). Let y = -1177 + i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-8)*(3 + -44). Suppose -112 = -2*r - 4*v, -4*v + 5*v = -1. Let d = s + r. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*2 - sqrt(3) - (sqrt(12) + sqrt(48)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:45 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -121581 divided by 4503?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19 - d + 19 + 2 + 130 - 43. What are the prime factors of v(-20)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1177, 2160, 3141, 4120?\nAnswer: 5097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1936 - 393. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 54*x + 17*x**2 - 54*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 10 + 358*h**4 + 3580*h**4 + 13)*(0*h + 3*h + 0*h).\nAnswer: 11814*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4*k**2 + 5. Let d be l(-4). Suppose -3*p + 37 = -2*s - 25, -2*s - 62 = d*p. Let m = -22 - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10227, -10230, -10261, -10320?\n\"Answer: -14*z**2 + 39*z - 10252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51398 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -89*z + 10. Let q(f) = 3*f**2 + 24*f + 8. Let y(i) = -8*i**2 - 66*i - 22. Let b(u) = -11*q(u) - 4*y(u). Calculate b(k(d)).\nAnswer: -7921*d**2 + 1780*d - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 174*g**2 - 250*g + 6489. Give y(88).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k. Suppose -v - 266 - 124 = -5*s, s + 5*v = 78. Suppose -3*i = -b + 30, 5*b + k*b - s = -3*i. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (10 - 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 14}. Give prob of picking 1 k and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18054*2.13.\nAnswer: -38455.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*v = -20, 0 = -3*s + 4*s - 5*v - 25. Let a be (0 - -25 - s)\/1. Suppose 7*d - 3*d + 15 = m, -m = d - a. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 5. Let v(l) = -5*l - 6. Let j(w) = 6*c(w) + 5*v(w). Let d(n) = 7*n**2. What is d(j(s))?\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a factor of 383099571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 6. Let w be z(6). Suppose -a + 4 - 1 = w. Let p = a - -1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*j + 27, -81*d - 3*j - 17 = -79*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Let c be (-6)\/(-24) - (-14)\/8. Suppose -2*t - 4*x + 116 = 0, c*t - x - 139 = -t. What is the greatest common divisor of u and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 + -625. Suppose 2*h + 340 = 942. Let y = h - r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3994830 and 510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/11256 and 97\/289440.\nAnswer: 2026080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, 96, 90, 92, 108?\n\"Answer: t**3 - 5*t**2 + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 24 = -0*q. Let n be (-12)\/q*(17 - 2). Suppose 0 = -f - 0 + 5. Calculate the greatest common divisor of f and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0230272076 rounded to 6 dps?\nAnswer: -0.023027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*((w\/((w**(3\/4)\/w)\/w))\/w)\/w*w)*w*w\/w**7)**(1\/2)\/((w\/w**(-2\/3))**22\/(w**(-1)*w*w*w**(-2)*w*w*w)) assuming w is positive.\nAnswer: w**(-907\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -936*y**5\/5 - y**4\/2 + 253*y**3\/3 - y - 215. What is the third derivative of f(b) wrt b?\nAnswer: -22464*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 943801460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.1, 555?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*u - 60413 - 577 = 960*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41105 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 p when four letters picked without replacement from jjjpppjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba27 - c?\nAnswer: 1ba18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*o - 1881 = -313*o + 75207. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*n + n + 4, 0 = 5*n - 2*j - 25. Suppose 3*r = 2*o + 25, -r + n*r + 5*o + 15 = 0. Solve -5*y = r*b - 2*y - 32, -12 = -3*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - -2)*-1 - -2. Let x be 31\/18 + s\/27. Let t = -534.25 - -537.25. Which is the fourth smallest value? (a) 2 (b) -2\/11 (c) x (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udb when three letters picked without replacement from hhbdlhhjbhhhuu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -230*f - 188. Let k be o(-2). Calculate the highest common divisor of 1156 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 11*b = 2*c - 83, 3*c = 3*b + 120. Which is greater: 50 or c?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - 3*t**2 + 3073. Let d(z) = -9*z**3 + 7*z**2 - 6147. Calculate 3*d(w) + 7*i(w).\nAnswer: w**3 + 3070","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 12)*(2 - (4 - -1) - (-670)\/220).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.01. Let q = x - -0.99. Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/252 and -131\/8736.\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.292 + -37.65. What is j rounded to 1 dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + 7 + -5. Let y(z) = -z - 8. Let i be y(-8). Suppose -k = 3*f - i*f - 54, -j*k - 72 = -4*f. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 8 - -61 - (-5 - -2 - -4 - 9).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 58*i - 18. Let f(p) = -2*p - 1. Let j(t) = -f(t) - q(t). List the prime factors of j(-5).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7770, 7785, 7802, 7821?\n\"Answer: y**2 + 12*y + 7757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 38 = -4*q. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 693, 2385, 5681, 11115, 19221, 30533?\nAnswer: 45585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3130, -2776, -2210, -1432, -442?\n\"Answer: 106*x**2 + 36*x - 3272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from {k: 10, x: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 - 147. What is the second smallest value in -0.1, m, 172?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b + 1. Let u(l) = -2*l**2 - 11*l + 2. Let g(r) = 5*h(r) - 3*u(r). Let t = 19 + -23. Determine g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-42)\/(-343))\/(1\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z - 5. Let l be 2 + 9*1 + -1. Suppose -p + l = -z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/294 and 83\/26.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) 61\/9 (c) 3 (d) 0.2 (e) 3.8 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**3*p**2 - 2*g**3*p - 11*g**3 wrt p?\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -1\/73 (c) 12 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281\/167 + -8299\/6680. Find the common denominator of 47\/10 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67263 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/11333 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-32))\/(-27)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1588 = -4*q, 15*q + 782 = i + 20*q. List the prime factors of i.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2 - 9*m + 3. Let a = -2304 - -2308. What is the smallest common multiple of a and z(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6519 + 119?\nAnswer: 119.6519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24925 and 120050?\nAnswer: 119689850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 14*f**2 - 5*f - 21. Give x(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -3, -20, 17.9, 3 in increasing order.\nAnswer: -20, -3, 0, 3, 7, 17.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 12 + -11 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86173342?\nAnswer: 2, 193, 223247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381267099.\nAnswer: 2381267099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l + 1. Let h be v(-4). Suppose -2*n + 75 = h*x, 3*x + 6*n - n = 45. What is the remainder when 27 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4927*z**3 - 4928*z**3 - 5 + 8*z**2 - 2*z**2 + 8*z. Let f(o) = -2*o - 3. Let a be f(8). Let l = -12 - a. Give d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-15)*(-3)\/1. Let a be (d\/(-35))\/(2 + 39\/(-21)). Let z(y) = 4*y**3 - 2*y**2 + 2*y. Is 4 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + n = 0, 3*n + 5 = 5*v + 22. Is (-8291)\/v + (-20)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 292. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*q + 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/393986 and 99\/20.\nAnswer: 3939860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-25)\/u)\/u**(-8\/7))**(-48) assuming u is positive.\nAnswer: u**(8016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*d**3*u**2 + d**3*u + 271*d**3 - 17*d*u**2 - 3*d*u + 427*d + u**2 - 2*u wrt d?\nAnswer: -2142*d*u**2 + 6*d*u + 1626*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 5, 0, 4, -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843529.8 + -2536.\nAnswer: 840993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 2, f: 4, z: 1}. What is prob of picking 1 c and 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 2. Let l = -3.8 + 1.2. Let o = l - 1.4. What is the third biggest value in n, 1\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from apfdxrp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092 minus -0.5?\nAnswer: -1091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose 141 = -j + y*j. Suppose 30 = 3*x - 4*h, 5*x - j + 5 = 4*h. What is the smallest common multiple of x and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136 and -0.195.\nAnswer: -26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {i: 3, v: 2, q: 3, t: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 + 24*i + 1216\/5.\nAnswer: -4*(i - 38)*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777*k**2 + 898*k**2 + 9*k + 809*k**2 - 9*k.\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/5 - 2*a**2 + 16*a\/5 + 96\/5 = 0. Calculate a.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 6 - 11)*(-8)\/10. Suppose u*i + 2*x = 39868, 3*x = -4*i + 800 + 39068. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 70 = -0*n. Suppose 4*f + n = 2*f. Let m = f + 38. What is the second smallest value in 0.01, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1584 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**3 - 2*i**2 - 2*i - 1. Let u(o) = -3 + 0 - 355*o**3 - 3*o - 3*o**2 - 342*o**3 + 1 + 707*o**3. Give -2*u(g) + 3*z(g).\nAnswer: 7*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4*f - 6. Let l be h(-2). Suppose u + u - 26 = -2*c, -u = -4. What is the highest common factor of c and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**2 - 1\/12*x**4 + 1\/60*x**5 + 0*x + 0 + 1\/6*x**3. Let v be h(3). Solve 0 = -v*j + z - 4, 1 = -j - 2*z + 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**10*c**(2\/25)\/c*c**(-2\/3)\/((c*c\/c**(1\/3)*c)\/c) assuming c is positive.\nAnswer: c**(581\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 616 + 0*i**2 - 6617*i**3 - 3*i**2 + 620.\nAnswer: -6617*i**3 - i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 2*v + 28, -5*u = -3*v - 13. Suppose u = 2*c - c. Suppose -c*a + 35 = -15. Solve -18 = -2*q - 4*n, -5*q + 11 = 4*n - a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/360 + 67*g**5\/20 + 30401*g**4\/24 + 90601*g**3\/18 + 1411*g**2. Determine s, given that t(s) = 0.\nAnswer: -301, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -500, -3959, -13348, -31631, -61772, -106735?\n\"Answer: -494*o**3 - o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 903, -5, 5, 4, -0.4 in ascending order.\nAnswer: -5, -0.4, 4, 5, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56557*g**2 + 17 + 2 - 19 + 2*g - 3*g.\nAnswer: -56557*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -18 - (-28 - -30).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbzzubzxbwiz. Give prob of sequence iizb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67096 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.002 * -237746.\nAnswer: 475.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)*-2 + -5*(sqrt(76)*-2 - sqrt(76)) + sqrt(76))\/(3*(sqrt(4) + 6*(-1*sqrt(4) - sqrt(4)) - sqrt(4))).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13023*f - 13027*f + 89*f**2 - 17*f**2 to the form a*f + g + u*f**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -11082915?\nAnswer: -1\/2216583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1869 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*d**2 + 0 + 2\/3*d**3 + 0*d + 0*d**4 - 2\/9*d**5.\nAnswer: -2*d**2*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*x - 21. Solve -n = 4*m + 13, n - x = -n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8789657059 and 1.\nAnswer: 1.8789657059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3622500 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -86270000 to the nearest one million.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.24 plus -65.15?\nAnswer: -297.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34453542 (base 6) in base 9?\nAnswer: -2002648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 31 + 42 - 55*n**4 + 2*n**2 - 3*n to the form k*n**2 + j*n**3 + u + f*n**4 + a*n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b - 6*w + 3*w, -5*w - 7 = 2*b. Suppose -105 = 2*o + b*r + 77, -3*o - 3*r - 270 = 0. Is o*2\/(-2) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49164*z + 28657?\nAnswer: -49164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 49. Suppose 22*q = l*q - 10. Suppose -3*s - 5*m = -q*s - 123, 0 = -3*s + m + 337. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y - 4. Let b be h(-1). Let r be -3 + (-15)\/(-4) - 20\/b. Solve -2*s + 8 = -5*x - 5*s, 6 = -4*x - r*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -15. Let j = 0.4 - l. Which is the second smallest value? (a) j (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108364481?\nAnswer: 3108364481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 933 - -9445. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a = -4. Suppose a*m - r = 6, -5*r + 53 = 3*m + 18. Let q(h) = -3*h + 1. Let s(d) = d - 1. Give m*s(o) + 2*q(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 + (-2 - (4 - 3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (81 - 139) + 3 + 4 + 0\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.436 + -0.336. Let s = -0.27 - -2.17. Let f = s - 2. Which is the second biggest value? (a) f (b) 3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:18 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32545321*d + 32545322*d - 65090647*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(77))\/sqrt(11)*4)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxoxoxooxxox. Give prob of picking 2 o.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 1216*l**3 + 50836*l**2 + 6920856*l.\nAnswer: 4*l*(l - 179)**2*(l + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -4*a - 3*s + 34, 14 = -2*a + 4*s. Let q(t) be the third derivative of t**4\/24 + 19*t**3\/6 + t**2. What is the units digit of q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 + -39 - (8 - 2)) + -3 - 26.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 0 + -1 + 96 - 33\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4 + 3 - 2*i**2 + i + 0. Let b be (3\/6)\/((-2)\/(-20)). Suppose -l - 2*f + 4*f - 2 = 0, -l + b*f = 8. Calculate r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/1*6*3\/(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*p - h - 58, -72 = -3*p - 4*h. Solve 21 = -p*j - 79 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) 73\/2 (c) -6\/5 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 4295?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 326770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 - 5*m + 3. Let r be v(5). Let p(i) = -28*i**3 - i**2 + i + 1. Let k be p(-1). Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:40 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15529, -31060, -46591, -62122, -77653?\n\"Answer: -15531*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -4476?\nAnswer: -4476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.1896ml to litres.\nAnswer: 0.4771896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/68)\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = -27*q - 61*q + 224 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765535261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 824, 822, 818, 812, 804, 794, 782?\n\"Answer: -n**2 + n + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 36*n**2 - 17*n + 13. Let w be a(4). Let h = w + -499. What is the remainder when (1 + 14)\/(1\/13) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5035485 or -5035486?\nAnswer: -5035486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48007\/998 or -47?\nAnswer: -48007\/998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37*q**2 + 2*q + 6. Let i be f(-2). Let y = i + 148. Which is the biggest value? (a) y (b) -0.5 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - 2*i - 5. Let r be ((-10)\/3)\/(5\/15). Let s be 1 + (-12)\/(2 - 0). Let z = r - s. What is d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17902108?\nAnswer: 2, 7, 639361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 5173096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 8*p - 2. Let x be (-60)\/(-8) - 27\/(-18). Let o = x - 3. Calculate w(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q - 52. Let c(w) = w**2 + 14*w + 11. Let y be c(q). List the prime factors of (-2 - -33)*(-2)\/y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5070.3999792 - -5070.06. Let i = 68.66 + -69. Let a = i - l. What is a rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491202 divided by -27289?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(64\/(-24)))\/(-3)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 7*q**2 - 2*q + 36. Calculate the remainder when 42 is divided by d(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {t: 2, x: 7, f: 1, y: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*n**2*o + 2*n**2 - 15*n + 1078*o wrt n.\nAnswer: -22*n*o + 4*n - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(4092\/(-132)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*u + 28 = 4*l, 4 = 3*l - 2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:24 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - q**3 + 1 - 4 + 0*q**2 as v*q**2 + l + s*q + f*q**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1722)\/132 - 1420\/(-71)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010 (base 2) to base 14\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 6, n: 4}. What is prob of sequence dn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 106\/(-15))\/(2\/4). What is the closest to 22 in -0.2, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*-4)\/((sqrt(539)*1 + sqrt(539) - sqrt(539)) + sqrt(11) - sqrt(11)) + 1)**2.\nAnswer: 8*sqrt(7)\/7 + 23\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + f**2 + 2 - 1. Let l(i) = 5*i**2 - 4. Suppose -23 + 3 = 5*m. Let p = 210 + -211. What is m*r(j) + p*l(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33767 rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217524397 * -4.\nAnswer: -870097588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 - 47*q - 21. Let r be w(-14). Let g = 162 + r. Solve 2*l = -l - g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.86301995 + -218.13710515. Let d = 239 + g. Round d to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -30. Let n = -2396\/11 - -218. Which is the smallest value? (a) 2 (b) 56 (c) r (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 e when three letters picked without replacement from {l: 1, e: 4, g: 3, p: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 4*c - 7*c - 4*c - 7 as p*c + v and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 326909, 653809, 980701, 1307585, 1634461?\n\"Answer: -4*l**2 + 326912*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4414.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9*6\/4)\/(-10 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-4)*l*l**1*l**(-2)\/(l\/l**5) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = q + 4*q - 60, -j - 44 = -5*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39749101 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**2 + 73*n + 164. What is h(9)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -4*s + 3*g, -2*g = -7*s + 6*s - 53. Let a = 50 + s. Solve 0 = -0*d - d - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -90566 - 203?\nAnswer: -90769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 23. Let b be x(6). Let n be (2 - (-4 + b)) + -1. Which is smaller: n or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9626411.\nAnswer: 101, 95311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*n**3 + 72*n**3 + 67*n**3.\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3922 and 22718.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 488\/24. Suppose -58 = -4*g - 0*g - f, 2*g - 28 = -f. Let n = o - g. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 864.5333 tonnes?\nAnswer: 864533300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 129, 237, 377, 543, 729, 929, 1137?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-108)\/(-24))\/(2\/36). What is the greatest common divisor of 1404 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3250 + -3243. Solve 25 = -5*v, 24*a - 21*a - 2*v - m = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.4 (c) -1.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -139*x + 121*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99)*-4 + (sqrt(99)*2)**2*-3 - (-4 + (sqrt(99) + 1 + sqrt(99) + sqrt(99) + 4)**2 + -5 + 1*sqrt(99)).\nAnswer: -2095 - 57*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-805)\/(-200) - 4) + 30\/(-75). Let w = -0.08 + 0.15. What is the closest to -1 in -4, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**3 - 36 - 37*j**3 - 5*j**2 - 10503*j + 10522*j. Let m(x) = 13*x**3 + 2*x**2 - 9*x + 18. Let q(w) = 6*i(w) + 13*m(w). Find p, given that q(p) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/540 - b**5\/180 - 3*b**3\/2 + 10*b**2. Let r(d) be the first derivative of i(d). Let r(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.8 + 2.8. Suppose 3*y - 3*h = -1104, 1381 = -5*y - 3*h - 435. Let i be (y\/(-438))\/(1\/(-6)). What is the second biggest value in z, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + w - 1. Let p be d(7). Suppose -20*z = -213*z + 15633. What is the greatest common factor of z and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21300954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*d + 4*k, 4*d - 3*k = -2*k - 11. Let f be d\/(-1) + -2 + 1. Differentiate -5 + 4 - 2*p + 3*p - f*p with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 227222 = -38*s. What are the prime factors of s?\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 8)*(-5*b - b + 2*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1719177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 90. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 times -5\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.50248 and 13?\nAnswer: 6.53224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201\/804*-4*1*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -71539687670?\nAnswer: -71539687666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 13.\nAnswer: -124\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/360 + p**5\/60 - 2*p**3 + 9. Let x(t) be the third derivative of k(t). Solve x(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95936*u**2 - 95936*u**2 + 94*u**3)*(u - u + 3*u**2) + (-2*u**3 - 2*u**3 + 6*u**3)*(u**2 + u**2 + 0*u**2).\nAnswer: 286*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*x + 7396 = 0, z - 1857 = -6*x + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnolokvokkz. Give prob of picking 1 k, 1 o, and 1 n.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -243, 4, -125, -9 in descending order.\nAnswer: 4, -9, -19, -125, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(324)*-1)\/sqrt(12))\/(sqrt(99)\/((sqrt(11) - sqrt(121)\/(sqrt(11)*1)) + sqrt(11))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12329, -20345, -24051, -23447, -18533, -9309, 4225?\nAnswer: 22069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**4\/4 + x**3 - x**2\/2 + 2*x - 46. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7495?\nAnswer: 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + (-11 - -34) + 8\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 13*l - 32. Let k be g(15). List the prime factors of -2 - 0 - k - (-21 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 10 = 26. Solve 0 = 7*d - g*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 43\/((-28)\/8 + 4). Let p = 128 - a. What is the greatest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 338, -4, -0.5, -0.4, 2571?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/568 and 85\/56.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:06 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88088\/(-26208) - -5*(-2)\/(-9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 k when four letters picked without replacement from {k: 4, u: 7, l: 3}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181631 and 20723.\nAnswer: 3087727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24885, 24895, 24911, 24933, 24961?\nAnswer: 24995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -645 - -644. Let y = -545 + 545. What is the nearest to y in l, 0.2, 0.3, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9018)\/(-10) - (-1 + 2) - 284\/(-1420). Calculate the highest common factor of 51 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -u + 6, -18 = -i + 28*u - 33*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwwjjjjjwj. What is prob of picking 3 w and 1 j?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Let i = f - 12. Let n(r) = -r**2 - 12*r - 3. List the prime factors of n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6663 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 18*s + 19. Let k be o(14). Suppose 4 = 4*n, -2*l = -n - 2*n - k. Let d = l + -25. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 31 = -n - 11*j, 2*j = 2*n - 2. What is the second derivative of 7*o**5 - 4*o**5 + 8*o - 1 + 5 - 4*o**5 - n*o**3 wrt o?\nAnswer: -20*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 - (17 - 20) - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32896 + -14788. What is the units digit of g\/21 + (-26)\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 18120*b**3.\nAnswer: 2*b**3*(b + 9060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 35*r**3. Let g(w) = 7*w**3 - 26*w**2 - 5*w - 11. Let d be g(4). Calculate q(d).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 17*l + 5. What is s(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -47. Solve -4*v + r = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 - 89.6. Let w = 90 + f. Let h = w - -8.9. What is the closest to h in 3, 5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one halves of a century?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (20 + 39) - (1 + -35 + 1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31 + 26)*(1 - 2). Suppose -j*u = 2*x - 138619 + 43020, 5*x = -15. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e90c5 + 4?\nAnswer: -e90c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -619 - -1151\/2. Calculate the common denominator of -47\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ezxxeveqezqvxzev?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 124.\nAnswer: 47\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 + -482. Factor -1\/3*r + 1\/3*r**3 + q*r**2 + 0.\nAnswer: r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**3 + 0*a**2)*(-2 + 7 - 3)*(131*a - 378 + 378).\nAnswer: 262*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1436, -2844, -4254, -5666, -7080, -8496?\nAnswer: -9914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1162, 1155, 1148, 1141, 1134, 1127?\n\"Answer: -7*q + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 72459542*m. Let a(t) = -t**2. Calculate d(a(p)).\nAnswer: p**4 - 72459542*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 475 + 267 = -41*k, 0 = 9*k - h + 411 - 253 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/2*-2). Let g be y\/((-25)\/15 + 2). Suppose -5*r + g*j + 108 = 0, 2*r - 4*j - 67 = -r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = 3*h, -3*a + h = -13. Let z be 2 - a - (2 + -33). Let u = -10 + z. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3101122211121 + -3?\nAnswer: 3101122211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*a + 348, 3*a + 0*u + 2*u = 251. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1184543 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 19 = -25. Suppose 4*w - c + 1 = 0, 3*c - 11 - 3 = w. Calculate the least common multiple of -1*w - (-16 + 4) and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -307db98?\nAnswer: -307db9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 10. Let a be g(-8). Let v be a - (-187900 + 2)*157. Suppose 5899992 = x + 2*n, 4*n = -x - 4*x + v. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*t = 5, -4 - 121 = -5*i + 5*t. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 884*a - 6152. Give p(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*s. Let j be (-52)\/(-6) - s\/3. Suppose -5*x = -3*t + 43, 0 = 5*t - 2*t + 2*x - j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyiiyynyiiiyiiiyiy. Give prob of sequence yiiy.\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41990129 and 10?\nAnswer: 419901290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68518648 to the power of 1\/2, to the nearest integer?\nAnswer: 8278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -39*y - 4146. Give i(-107).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)*c*c*c)**(-8))**38 assuming c is positive.\nAnswer: c**1216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 + 1. Let v(j) = j**2 + 6*j - 2. Let t be v(-7). Let b(l) = 1495*l**2 + 4*l**3 + 2 - 1495*l**2. What is t*w(s) - 4*b(s)?\nAnswer: -s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1125)\/(-60) + -18)\/((-20)\/(-32)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085954973 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: Product of 3 and -0.03324.\nAnswer: -0.09972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -39743?\nAnswer: -23845.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 - l**5\/12 - 5*l**4\/24 - 5*l**3\/6 + 2*l**2. Let z be o(6). What is the highest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35435332 (base 6) to base 15.\nAnswer: 16da28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**3\/3 + 69*f**2 - 495*f - 225.\nAnswer: -(f - 15)**2*(7*f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -23, -34, -41, -38, -19, 22, 91?\n\"Answer: y**3 - 7*y**2 + 5*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3581 and -3.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 + 14009*m**4 + 11*m**3 - 11383735*m**2?\nAnswer: 240*m**3 + 336216*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from fkxvkfxvvkvajj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -24 - ((1 - 3) + 39)) + -8 - -5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 430 = 4*i. Let h = -1 + i. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 20*q**2 - 23*q - 36. Determine v(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 93?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -8. Let m = 33 - v. Differentiate m*z - 3*z - 2 - z - 14 with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19433 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:44 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Suppose 0 = i*v - 0*v. Which is greater: 6\/11 or v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620385, -1240764, -1861141, -2481516, -3101889, -3722260?\nAnswer: -4342629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647630 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 14. Suppose -2 - 3 = -5*t. Let s be 1 + t*-4 + 1. Which is the closest to i? (a) 0.4 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**2*y**4 + 695352*l**2*y**2 + 20265074*l**2 wrt y?\nAnswer: -8*l**2*y**3 + 1390704*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144557.7 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:24 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 19, 657, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 21?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 6091096*y\/7 - 248616.\nAnswer: -2*(y + 435078)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -274512 divided by -2?\nAnswer: 137256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.17428*0.7\nAnswer: 2.221996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2526 + -27827\/11. What is the common denominator of v and -13\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1053 = -3*y, -66*y = -5*c - 65*y + 5153. Which is bigger: c or 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 116*x**2 + 13*x + 14. Let t be a(-6). Suppose -7*j - 73 = -t. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.11 + -5.11. Let f(s) = -s**3 + 6*s**2 - 5*s - 3. Let w be f(5). Put m, -0.2, w, -3\/8 in decreasing order.\nAnswer: -0.2, -3\/8, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16*u**3 + 7*u**2 - 4*u - 8. Let x be i(-3). Let z = 33957\/68 - x. Calculate the common denominator of -40\/9 and z.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrr when three letters picked without replacement from {r: 4, s: 1, z: 6}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r**3 + r**5 - 3*r**2 + r**4 - 22*r**3 - 2*r**4 = 0. What is r?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(60)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.14 (c) 0.5 (d) 0.7 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11208 and 1.\nAnswer: -11208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w - 94. Determine r(18).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7250.537m?\nAnswer: 7.250537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12802\/423 - -272\/9. Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/12*18\/(-15). Let o be ((-19)\/(-38))\/(1\/i). Let f be (o\/4)\/((-5)\/(-20)). Solve 5 = 3*b + f*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 18 - 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*y - 151*y + 21*y**2 + (14*y - 9*y - 22*y)*(3*y - 6*y + 4*y) + (-3*y + 3*y - 2*y)*(-y + 4*y - 6*y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-16)\/(-672)*-618\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**3 + 0*h**3 - 2*h**3)*(0 + 0 - 1) - 3*h + 3*h - h**3 + (1 - 4 + 2)*(1 + 2*h**3 + 5 - 1) as z*h + c*h**2 + j*h**3 + w and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 2*t + 3, -5*a - 5*t + 20 = 0. Suppose -2*p + j - 1 = 0, 4*p + p + a*j = 3. Suppose -n = -6*n. Is p >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*y**5 + 347*y**3 + 27975*y**2 + 2.\nAnswer: 840*y**2 + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 + 5*x**3 + 0*x**3 - 186*x**3 + 1117*x**3 + 325*x**3 + (6*x**2 - 4*x**2 - x**2)*(-2*x + 4*x - 3*x) + 3*x**3 - 2*x**3 - 3*x**3.\nAnswer: 1254*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62330?\nAnswer: 2, 5, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -283351\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13497985517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 84630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 16) + (-4)\/11*(-1771)\/(-322)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*y - y = 4, -b - 7 = -3*y. Solve k + 1 + b = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 482*a - 257002 + 263750 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -227*b**4\/2 + 337*b**3\/3 + 7*b**2\/6 = 0.\nAnswer: -7\/681, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4\/65, 7\/3?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f - 15 + 10 + f to u*f + i and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1417786385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 402*b**4 + 16*b**3 + 814*b**4 + 8*b**2 - 409*b**4 to the form g*b**2 + v*b + j*b**4 + r + q*b**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2800 - 332 - 1687 - 513 - 1438)*(1 - f - 1) to the form o + q*f and give q.\nAnswer: 6770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*n + 8 = -4*r + 353*n, 2*r - 3*n = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15080574253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(4 - 1 - 2)*(0 - 1 + 6)*(3 - 5 + 3).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171)*2 - sqrt(171)) + sqrt(171) + sqrt(171))*1)\/sqrt(9).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2423 - -4047. Calculate the highest common divisor of x and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)\/((-80)\/(-64))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - 2*o + 4 + 3*o - 4 + (4*o - 4*o - o)*(0 + 2 - 3) - 2*o + 0*o + 4*o + 0*o + 3*o - 4*o)*(o + 3*o - 3*o) + 3 - 3 - o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -871*v. Let c(n) = 7850*n. Let h(w) = 6*c(w) + 55*z(w). Let f(r) = 2*r. What is h(f(y))?\nAnswer: -1610*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/11, 8 in increasing order.\nAnswer: -6\/11, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 4110352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(48)\/sqrt(128)) - (-2 + sqrt(343) - sqrt(63)*-1).\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*p - 14216 + 3121 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 95?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 202068798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1208623 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10153590197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*q + 57 = 5*z - 178*q, q + 19 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3)\/(-5)*-3. Suppose -137985 = i*l - 5*g, 2*l - 4*g + 138003 = -5*g. What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*g + 8*g. Let a be (g*2 + -1 + 6)*0. Let z = -44 - -136\/3. Put a, -3, z in increasing order.\nAnswer: -3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 14*r + 2. List the prime factors of b(7).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*k - 5631 = -1882*k - 42142 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 - ((-144)\/(-6) - 11). Let n = 71 + -71.2. What is the fourth biggest value in -2, d, -0.5, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*l = -3680, 0 = 3*r - 0*r - 2*l - 2213. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjjw when four letters picked without replacement from {w: 3, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - (-6)\/(-9). Let s be (4\/(-23))\/(-1 - -3). Let k = 0.3 - 0.3. Which is the biggest value? (a) z (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(80) + 0))**2.\nAnswer: 360*sqrt(5) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/5 - 10771*r**3\/5 - 141037*r**2\/5 + 9119071*r\/5 - 71077344\/5 = 0.\nAnswer: -39, 13, 10784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/30165 and 46\/87555.\nAnswer: 176073105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 202*o + o**2 - 893*o.\nAnswer: 2*o**2 - 1095*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) 8 (c) 0 (d) 1 (e) -1\/5 (f) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 1022831*k**3 - 27*k**2 - 161*k - 431539 wrt k.\nAnswer: -12*k**2 + 6136986*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w + 209. Let c(y) = 10*y - 139. Let a(i) = 8*c(i) + 5*d(i). Let x be a(14). Suppose x*o - 424 - 1481 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*m + 5*b, -2*m + 5924 = 3*b + 5922 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/502642 and 9\/1148896?\nAnswer: 8042272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - w**3 + 2 + (1 - 2*w - 1)*(7*w**2 - 8*w**2 - w**2))*(22 - 22 - 30)*(-3 + 3 - 1) to the form f*w**3 + v + t*w + u*w**2 and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*g - d, -33 = -3*g - 5*d - 1. Let x(f) = -5*f - 8. Let t be x(-10). Calculate the highest common factor of g and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2. Let d(i) be the third derivative of i**5\/15 + 152*i**2. Give b(d(g)).\nAnswer: -96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzj when four letters picked without replacement from {j: 5, z: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3 - 3)*(-2 + 0 + 4) - 115*v - 156*v - 119*v.\nAnswer: -388*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 19550*d**2 - 95550625*d = 0. What is d?\nAnswer: 0, 9775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 16) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -2, -8, -141, 3 in ascending order.\nAnswer: -141, -8, -5, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (53\/424)\/(6\/16)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 84*s**3\/5 - 87*s**2\/5.\nAnswer: 3*s**2*(s - 1)*(s + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -222204?\nAnswer: 222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3674\/5 - 734. What is the closest to g in -1, 2, 0.1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:22 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -1. Let z = -0.4 - x. Let v be (-90)\/140*(-2)\/(-3). What is the third biggest value in v, z, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-11)\/i)))\/i**0)**(-2\/5)\/((i*i**(1\/2)*i)**(-31)\/(i**(1\/3)\/i*i**(-8))) assuming i is positive.\nAnswer: i**(2209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23779470 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -31.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 1490*o - 161896.\nAnswer: -(o + 118)*(o + 1372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/24 - a**3\/6 + 4*a**2. Let q(d) = d**2 + 7*d + 1. Let s(l) = 3*q(l) + 15*u(l). Is s(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46129949*h + 125776579 with respect to h.\nAnswer: 46129949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/15 + 1\/5. Let m(s) = s**3 + 4*s**2 + 5*s + 4. Let z be m(-3). Let o be (2\/(-7))\/(2\/z). What is the closest to o in l, -1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsvdsjdvdsvvvdvvd. What is prob of picking 2 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67.3068 + 24432210.\nAnswer: 24432277.3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 - 31*u - 141 to o*u + n and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1152078835 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1923, -7655, -17221, -30639, -47927?\nAnswer: -69103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 4*n - 1. Let b be (-4)\/14 + (-184)\/(-56). Let y be s(b). Suppose 0 = -p - y*p + 84. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 808\/7 - 115. Let r = -39493 + 39486. Which is the nearest to -0.2? (a) 3\/4 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 25*w**2 - 25*w**2 + 3*w**5 - 2*w**5. Let l(h) = -12*h**5 + 15*h**3 + 2*h**2 - 3*h - 2. Let p(u) = 2*l(u) + 22*t(u). Factor p(g).\nAnswer: -2*(g - 2)*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17) + 1 + -4 + -2 + ((-1*sqrt(187))\/sqrt(11))**2.\nAnswer: sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -16. Solve -3*n - c = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.3707 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/6 + v - 5. Let k(j) = -154*j. What is l(k(z))?\nAnswer: 47432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 48 in descending order.\nAnswer: 48, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 9*p**2 + 7*p. Let m be 10*(12\/(-15))\/1. Let v be x(m). What is the third derivative of 13*o**2 - 15*o**5 + 9*o**5 + v*o**5 wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78, -163, -260, -375, -514, -683, -888, -1135?\n\"Answer: -c**3 - 78*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u**2 + 23*u + 129. Let n be x(5). Solve 0 = 14*f - 142 + n for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.9. Let l be (5 + -6)*2\/13. Let f be 10 + -4 - (-1 + 2). Which is the biggest value? (a) l (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1749018988 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - (-10)\/25. Suppose 4*f = 2*k - 2 - m, 4*f = -4*k - 20. What is the units digit of 57*(f - (-2 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) + (-14)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*t + 28 = 0, v - 3*t + 39 = 55. Sort v, 5, 536 in decreasing order.\nAnswer: 536, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545638543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/24 + 5*y**3\/6 + y**2. Let z be r(0). Suppose -w - 17 = -5*c, c = -z*w - 4*c + 35. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 22*b - 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04868124 to four dps.\nAnswer: -0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 2 - 3 + 0*l - 3. Let d be i(-4). Suppose d = -2*x - 6. Which is greater: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 7\/20*r**5 - 7\/24*r**6 + 0*r**3 + 0*r + 5*r**2 + 0*r**4 + 0. Find the third derivative of m(z) wrt z.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u - 9. Let l(q) = -q**3 - 5*q**2 - 4*q + 5. Let j be l(u). Suppose 0*r = -j*r + 5. Let i(v) = -3*v**2 - v. Give i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*h**2 + 4510*h + 1000.\nAnswer: 5*(h + 100)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 3*r + 30. Calculate the common denominator of -13\/7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i. Let k be (2 + 168\/(-7))*32. Let z = 706 + k. Let h(v) be the third derivative of -v**6\/120 + v**4\/8 + v**2. Give z*h(y) + 3*u(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20800 and 91?\nAnswer: 145600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261085131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3213*a*b**2*d*g**2 - a*b**2*d + 2*a*b*d**2*g**2 + 75446*b**2*d**2*g**2 + 2*b*d*g**2 - 15 wrt d.\nAnswer: 4*a*b*g**2 + 150892*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t - 2. Let f be 6\/4 - 7\/(-14). Let z be m(f). Which is the closest to z? (a) -1\/3 (b) 4\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193870148 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1, 13, 5\/2, 1\/7 in descending order.\nAnswer: 13, 5\/2, 1, 3\/4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 + 5 + -11 + 11 + 5 - 8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -415 + 653. What are the prime factors of z?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v - 3. Let j(p) = -27*p**3 + 19*p**2 - 10*p + 901. Let d(s) = -j(s) - 5*t(s). Differentiate d(f) with respect to f.\nAnswer: 66*f**2 - 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/100 - a**4\/10 + 3*a**3\/10 + 3*a**2\/2 + 25*a. Let t(q) be the first derivative of b(q). Factor t(y).\nAnswer: 3*(y - 3)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**2 + 66*l - 3. Let u be j(-10). Calculate the highest common divisor of 703 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237126\/15 + (-81)\/(-135) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16206 (base 7) to base 2\nAnswer: 1000111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2 + 14 + 3*d - 3*d - 3*d. Let r(l) = -1. What is c(y) + 12*r(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1575 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*j + 54 = -6*y, -j - 28 = 2*y. Let p = -9 - y. What is the highest common factor of 42 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g = -1214, 6*g - 1254 = 2*l + g. Let t = l - -1068. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n*n*n**11*n*n*n)\/n))\/n**(2\/7))\/(n**13*n*n*n\/n**(-4\/9)) assuming n is positive.\nAnswer: n**(-1999\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a - a**2 - 6 + 15*a + 2 + 0*a**2 + 5. Let n(k) = -6*k**3 + 2*k**2 + 2*k - 2. Calculate -2*g(h) - n(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68850 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*f**3 - 43*f**3 + 65*f**3)*(-5*f + 12*f + 5*f)*(-1 - 2 + 5).\nAnswer: 3192*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 12. Let p be k(8). Find the common denominator of 5\/22 and 42\/p*105\/196.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48862.49 microseconds to milliseconds.\nAnswer: 48.86249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 70. Solve 0 = -m*b + 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -2\/7 (b) 0 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-100)*-1*5\/15\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 49. Let y = 48 - 34. What is the remainder when v is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 22154262?\nAnswer: -22154262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 399507090.\nAnswer: 2796549630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -3, -2, -10.\nAnswer: -10, -3, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 1 x when three letters picked without replacement from xccxbyjjjrc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1330 = -4*r + 1886. Suppose 14*m = 18*m - r. Round m to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1285074*l**2 - 1285074*l**2 - 177*l**3 - 3*l as k*l**2 + q*l**3 + b*l + a and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6800680 divided by -10.\nAnswer: 680068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 13. Let p = 14.08 + k. Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -174*a**2 + 4875*a - 87. Determine x(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -163. Suppose 459*u = 458*u - z. Let a(m) = -5*m - 3. What is a(u)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.4 - 46. Let u = 101.4 - 94. Let q = u - d. Put q, 2\/3, 3\/7 in descending order.\nAnswer: q, 2\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68303?\nAnswer: 167, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(2)*1)*5 + -5 + -2*sqrt(2).\nAnswer: -5 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Suppose -3*i + 0*i + 4*f = -3, -4*i - f + 23 = 0. Is k bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -937881000 rounded to the nearest 1000000?\nAnswer: -938000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2128\/(-513))\/(-14)*(9 + -15)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*h - 2*h - 1638 = 16*h. Solve -v + h = -8*w + 5*w, 17 = v - 4*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 161\/60*16\/168. Let m = b - 1\/30. Factor m*c + 8\/9*c**2 + 10\/9*c**3 + 4\/9*c**4 + 0.\nAnswer: 2*c*(c + 1)**2*(2*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2407\/7220 - 6\/361. Calculate the common denominator of 81\/8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 7*s - 4*s**3 + 0*s + 0*s**2 to p*s**2 + t + m*s + f*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/7 - 159*r**2\/7 - 1737*r\/7 - 3861\/7 = 0. Calculate r.\nAnswer: -39, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22305 + 22280.737. Let x = 24.4 + a. What is x rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*c + 309*c - 30016 = 199*c for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5813490?\nAnswer: 2, 3, 5, 17, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/9)\/((-1)\/(-333)*-39). Are -4 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l + 4. Let d(m) = -16*m + 3. Let z(t) = -2*d(t) + 3*k(t). Let w(p) = 6*p - 5. Let b(c) = -6*w(c) - 5*z(c). Let a(g) = 4*g. Calculate a(b(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 6) to base 2.\nAnswer: 1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 11 + 14. Let j = 0.413 - 0.043. Let x = j + 0.03. Sort -2\/3, x, v in ascending order.\nAnswer: v, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 140.106. Let j = -0.094 - w. Which is the closest to j? (a) 1\/2 (b) 5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021719165 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 203900 divided by 8156\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114665593 is divided by 28666397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/12 - 881*i - 1. Let h(p) = -35*p**2 + 4*p. Let l(t) = -t**2 - t. Let u(g) = -h(g) - 4*l(g). Determine j(u(x)).\nAnswer: -1521*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 166 = 482. Suppose 2*s - j = -2*s + 21, -s = -4*j - l. Solve 5*o - 4 = s*o, 0 = 4*c + 2*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 34*k - 15*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169872 is divided by 167.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/6 - 17*u**4\/6 - 55*u**3\/6 - 35*u**2\/6 + 28*u\/3 + 26\/3 = 0.\nAnswer: -13, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2562 = -3*a, 8*b = 4*b + a + 2554. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 367*d**2 + 10267*d - 19. Calculate n(-28).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*f = i + 16, -5*i - 89 = -f. List the prime factors of (-4)\/(-24) + (-105)\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 0.226822.\nAnswer: -0.2041398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 19 - -10) + 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 527311?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73019 is divided by 17241?\nAnswer: 4055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7589 + -7278. Calculate the remainder when v is divided by 311.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 120814707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -81?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o + 72*o**4 + 253*o**4 - 10*o)*(-3*o - 3*o + 2*o) + 0*o**3 + 0*o**3 + o**5.\nAnswer: -1299*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 122371 + 9*g + 122048.\nAnswer: 4*g - 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*d**2 + 680*d**2 - 293*d**2.\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(605) + -1)**2.\nAnswer: -264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 24256360*f + 29418550022480 = 0. What is f?\nAnswer: -2425636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 14. Suppose -n = -q - 1. Let o(c) = c**3 + 23*c**2 + c + 32. Calculate the lowest common multiple of o(-23) and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - a - 149 + 152 = 0, 3*i - 5*a - 21 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 499364.9 grams in nanograms?\nAnswer: 499364900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/65 and -125\/1014.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-2) + 0 + 2. Suppose -o + 2 = -j. Suppose 73 - o = h. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**3\/6 + 85*w. Let l(k) be the first derivative of -2*k**3\/3 + 1. Give l(u(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 = -5*t - 21*t. Let h(s) = -s**3 - 29*s**2 + 33*s + 90. Let d be h(t). Solve d = -3*l + 4*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6693, -16790, -33617, -57174, -87461?\nAnswer: -124478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, t: 1, o: 2}. Give prob of sequence to.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*o + 4782 = -7454 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = a - 9*r, -2 = -a + r. Let z(g) = g**2 - 6*g - 2. Give z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2267489381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*c - 4, -5*a = -2*c + 6 - 2. Suppose a = -2*f + 2*i, i - 4 = -2*f + f. Is 14\/3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1569918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-9)\/(-12) - (-146)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(90)\/sqrt(2) + (-4 + sqrt(45) + (sqrt(45) - (sqrt(45) - (sqrt(45) + -2))))**2 + sqrt(45).\nAnswer: -63*sqrt(5) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43\/3 + -14. What is the fourth biggest value in 5, 74, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886148847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185? (a) -1544 (b) 4 (c) -40\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54126 + 6819997\/126. Find the common denominator of -43\/90 and t.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 6*g**4 - 74*g**3 - 390*g**2 - 504*g.\nAnswer: 2*g*(g - 7)*(g + 3)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 4346 + 17316 - 4317 - 4325 - 4328.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1025, 1999, 2985, 3989, 5017?\nAnswer: 6075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -703 or -63?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 4)*(0*p + 2*p - 4*p)*(9 - 6 - 19).\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 125 - 2*f + 403 - 5*f - 142.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13779 and 182352817.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002534013708 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9aab (base 16) in base 13?\nAnswer: -1503a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2742 = 196*o - 30 + 28 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78039 is divided by 1804?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*r**2 - 197*r + 197*r + (r**2 + 15152 - 15152 + 9*r)*(-5 + 6 - 3).\nAnswer: -41*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 10:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3125 is divided by 224.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/3 + -10. Suppose 5*s = 62 - 17. Let t be (s\/6)\/(1\/(-26)). Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20610505 (base 7) to base 12.\nAnswer: -705097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43639, -43633, -43621, -43603?\n\"Answer: 3*s**2 - 3*s - 43639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 6, 3 in descending order.\nAnswer: 6, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -390, -779, -1168, -1557, -1946?\n\"Answer: -389*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -15891.\nAnswer: -15892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/((-14)\/42*4\/(-10)). Calculate the greatest common factor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1101986 to three decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s - 2949 = 121*s + u, s + 4*u = 970. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c**(-2)*c))\/(c**4\/((c**5\/c)\/c)) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.63 + -0.33. Let a = -1 + v. Let r = 0.8 - a. What is the second smallest value in r, 0, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/7 (c) -4 (d) 0.236 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h + 20*h - 12*h. Let w(l) = 9 + 13 - 2*l - 3*l - 20. Calculate s(w(g)).\nAnswer: -5*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -346298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83943262 to four decimal places.\nAnswer: 0.8394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 3*z - 1. Let x be p(-2). Let y = 4 + x. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**7\/525 + l**6\/5 - 39*l**5\/50 + 29*l**4\/30 - 401*l**2. Factor t(o).\nAnswer: -2*o*(o - 58)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(1 - 3) - -1. Let k be (20\/z - 0)\/2. Let t = k + 10. What is the highest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:29 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38305, 38307, 38347, 38455, 38661, 38995?\nAnswer: 39487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4 + (-1 + 4 - 2)*(-2 + 3 - 3))*(2*l - l + 0*l)*(-2 - 10 - 4)*(-3 + 2 + 0) in the form q + i*l and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 6. Let y(q) = -q**3 - 9*q**2 - 15*q - 13. Let l be y(-7). Let a(j) = -3*j + 17. Let h(c) = l*a(c) + 17*s(c). Let n(p) = -16*p. What is h(n(x))?\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28327 - -3?\nAnswer: 2832a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 1. Let u(o) = 3*o**2 + 4. Let l(k) = -4*i(k) - u(k). Let j(x) = 15 + 10 - 25 + 9*x. What is j(l(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*j - 5 = 0, 0*y - 2*y = -j - 1. Let w(l) = 8*l**2 - 9*l**2 - 2*l**3 + l**3 - 5 + 0*l**y. Calculate w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, t: 1, v: 2}. Give prob of picking 2 l and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3781\/2 + -1935. Is d at least -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - o = -4*o + 118, 3*v - 72 = -3*o. What is the remainder when v is divided by ((-16)\/(-10))\/((-1)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010100000000010011 (base 2) to base 3.\nAnswer: 2010102202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x - 90 = 145. Suppose 8*c - 6*c + 18 = 0. Let i be 5 + (c - x - -1*2). Solve 0 = -2*k - i*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303349549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7057181*b**2 + 5416079*b.\nAnswer: 14114362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + w + 5*w - 4.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 8*j - 10. Let q be y(-6). What is the highest common factor of 5 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42643, 42641, 42639?\n\"Answer: -2*b + 42645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-10)*(-36)\/8*8\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52332 divided by 267\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 2*j + 9. Suppose 5*f + i + 2*i = j, -4*f - 2*i + 56 = 0. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:10 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:57 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.42, 23, -4\/7 in decreasing order.\nAnswer: 23, -4\/7, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 - 5*m**2 + m**2 - 5 + m. Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Suppose 13 = -h*z + 3. Let d = 0 - z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -86 - (33 - 32). Let b = f - -102. What is the remainder when 41 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let x(f) = 831*f. What is t(x(o))?\nAnswer: 831*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 + 31*u - 26. Determine g(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 645062325 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -0*r - 232 + 214 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167.36 + -164. Let b = -4.36 + c. Sort b, 2, -0.3, -1\/4.\nAnswer: b, -0.3, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 53330915?\nAnswer: 106661830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -299 and -0.1.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 55.18647 months?\nAnswer: 0.0045988725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7700\/(-100)*4\/(-22) - 5*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101000101112 + 100?\nAnswer: 101000101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7392 and 4032.\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191231, -191058, -190885?\nAnswer: -190712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700167?\nAnswer: 3, 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50042128, 50042129, 50042130, 50042131, 50042132?\n\"Answer: t + 50042127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurrllul. Give prob of picking 3 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48*(-238)\/(-1020))\/(6\/45).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22*s**2 + 22*s - 22. Suppose 9*b - 18*b + 414 = 0. Let o(z) = -b*z + 7 - 7*z**2 + 92*z - 25*z - 28*z. Determine 5*d(k) + 16*o(k).\nAnswer: -2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26206*l + 1344?\nAnswer: 26206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275250129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**5 + 303*o**4\/2 + 157857*o**3\/2 + 8089833*o**2\/2 + 120371367*o\/2 - 15300462 = 0. What is o?\nAnswer: -41, 1\/4, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((2*sqrt(84))\/sqrt(12)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4699552683189 less than 6?\nAnswer: 4699552683195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 41070*v - 1601737. Calculate z(39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {g: 2, p: 5, u: 5, i: 1, z: 6}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446406 and 807648.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/6 - 7537021*l**2\/6 - 15074024*l - 45222054 = 0.\nAnswer: -7537009, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-19.0064\nAnswer: -2.090704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.1. Let l = c - -0.4. Let j = l + 0.49936. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -934746200*n**2 + 653120213*n.\nAnswer: -1869492400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/8 + 1204317*l\/8 - 28304763\/4 = 0.\nAnswer: -401486, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 1 + 1)*(0*g + 4*g - 2*g)*(-6*g**3 + 47*g**2 - 47*g**2).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003599 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001655461347 to 7 decimal places.\nAnswer: 0.0001655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(1100))**2.\nAnswer: -120*sqrt(11) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q. Let d(w) = -6*w**2 - 2*w. Give d(v) + 2*s(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlll when four letters picked without replacement from dldllldxxddldxdd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2101248 - -2101543.0173. Let l = g - 0.0173. Let m = 294.9999861 - l. Round m to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2. Let t = -10283\/4 - -10289\/4. Let p(x) be the second derivative of 11*x - t*x**2 - 1\/6*x**3 + 0. Determine p(r(i)).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16573913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233005545 is divided by 1033?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/((-308)\/55) + 5\/((-60)\/(-64))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 413 + -389. Suppose 51*q - 13284 = a*q. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:41 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**2 - 34*o + 23. List the prime factors of b(12).\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let s be q(1). Let x be (1992\/(-7))\/(-2*1). Let m = -142 + x. Is s smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.1 - -17.1. Let s = q + 7.5. What is the third smallest value in -0.012, -5, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -22*q. Let g(m) be the first derivative of -m**2\/2 - 18. What is g(y(o))?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - l**5 + (3*l**2 + 0 + 0)*(0*l + l**3 + 0*l) + 6*l**5 + 2*l**4 - 2*l**4 + (-5*l**2 + l**2 + 2*l**2)*(l**3 - l**3 - 2*l**3).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45505808?\nAnswer: 2, 1321, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43 = -13. Let p(l) = 2*l - 15. Let h be p(o). Suppose 38269 = h*t - 5320. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (29\/(-2) - -2)*2. Let x be (-2)\/3 + p\/(-15). Is x + 1 + 1971 + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7704576 + 4?\nAnswer: -7704572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1153 (base 9) to base 11.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddaaadaaddd. What is prob of sequence add?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17467 = 4*m - w, 24094 = 5*m + 5*w + 2279. What is the remainder when m is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g + 44*g + 174*g + 295*g + 13650 = 0 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/9 + 130*f\/9 + 112 = 0 for f.\nAnswer: -7, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnhhni. Give prob of sequence nhn.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7022101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*x + 42, -2*n = -2*x - 2*x - 64. Let s = 22 + n. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)\/a)\/a*a)**(-5\/8)\/(a\/(a\/a**(2\/3)))**(2\/93)*a\/(a\/(a*((a*a**(5\/6))\/a)\/a))*a**(2\/9)*(a\/(a*a\/a**(-1))*a*a)**(-40) assuming a is positive.\nAnswer: a**(929\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -203*n + 1230. Determine i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(125))\/(((sqrt(2) - (sqrt(8) + sqrt(2))) + sqrt(2))*-6).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 25 (c) -5\/256 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2111101101222020?\nAnswer: 2111101101222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/61 (b) -0.1 (c) -2\/3 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10062 and 936.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - j**3 - 2*j**2 + 9 + 2*j - 2 + j**2 as o + s*j**3 + u*j**2 + w*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -388, -555, -712, -859, -996, -1123?\n\"Answer: 5*h**2 - 192*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -5*z**3\/3 + 17*z**2\/2 - 11. Find the second derivative of x(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-1 + 6)\/5. Suppose w - v = b*v + 16, 3*v = w - 18. Suppose 5*d - 42 = -z + 3, 4*z = -2*d + 18. Calculate the remainder when w is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*g + 19 = 2*h, 2*g = h - 13. Let j = h + 0. Suppose 5*l + 2 = -j. Does 2\/11 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7468.5116 rounded to the nearest 10?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -35.7, 43, 0.3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 12*n**2 - 6*n - 71. What is r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3*(-27)\/3. Suppose -2*k + 5*d + 139 - 45 = 0, 0 = 3*k - 5*d - 136. Let t = f + k. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x. Let c(v) = 10*v**2 + 6*v - 2. Let i(q) = c(q) - 5*n(q). Let b = -6 + 4. Is 16 a factor of i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2241462, 4482934, 6724406, 8965878?\n\"Answer: 2241472*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1660\/165 + -5 + 12\/(-198).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1313378900 to the nearest 1000000.\nAnswer: -1313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4700\/3 - -1568. Factor -p - 2\/3*h**3 - 8\/3*h**2 - 10\/3*h.\nAnswer: -2*(h + 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -152, -106, -42, 40, 140, 258?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34299345 - 167.\nAnswer: -34299512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 116\/9, -0.1, 2, -71?\nAnswer: 116\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((sqrt(33) - (sqrt(33) - sqrt(825))*-2)\/sqrt(3) - (sqrt(132)\/sqrt(48) - (-5 + sqrt(176))))**2.\nAnswer: -3179\/4 - 175*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**4 + 1455*i**3\/7 + 639*i**2 - 1185*i + 2325\/7 = 0.\nAnswer: -31, -5, 5\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6774.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(-3 + sqrt(112) - (3 + sqrt(175) + sqrt(175) - sqrt(175))) + -2)**2.\nAnswer: 408*sqrt(7) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiwwwwiwww. What is prob of sequence wwii?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - l + 6*l + (-1 + 1 + 2*l)*(1 - 1 + 1) + 3*l + 14*l - 5*l to f*l + w and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1 + 12*n + 10*n - 9*n - 2. Let y(u) = u - 1. Let v(c) = h(c) - 3*y(c). Let q(o) be the first derivative of -2*o**3 - 232. What is q(v(g))?\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0753384 kilograms to grams.\nAnswer: 75.3384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 13*s + 2*s + 3*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 4*l - 70 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2831\/16 - -1411\/8. Let d = 3\/403 - 5311\/9672. What is the common denominator of d and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 - 2*x + 2. Let t(w) = 4*w**3 + 21*w**2 + 8*w - 9. Let j(i) = i**2 - i - 3. Let g be j(-3). Determine g*k(f) + 2*t(f).\nAnswer: -f**3 - 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127586 is divided by 63786.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkzwwzkwwz. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -2, -0.5.\nAnswer: -170, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13712 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9.3, 0.4, -4, -11.\nAnswer: -11, -9.3, -4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3596614 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, s: 4, k: 4, v: 5, b: 1}. What is prob of picking 3 g and 1 b?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rreerrrr. Give prob of picking 3 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128)*1*-5)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1043\/5 (b) -0.4 (c) 2028.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 59996066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3) + -16 + 22. Let h be -5 + (-8)\/(-84) + (-309)\/(-63). Solve h = l*t + 3 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3845*m + 392187. Determine k(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 2*j - 7. Suppose -8*b + 11 = -21. What is the tens digit of k(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -9728?\nAnswer: 1\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 7*k**2 - 7*k - 5. Let o(t) = -6*t**2 - 10*t + 4. Let m be o(7). Let f = 366 + m. Calculate n(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.1, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let s = 2 + j. What is the derivative of -q**2 + 3 + s*q**2 - 1 wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 367, 316, 195, -20, -353?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m*m\/(m**2*m*m)*m**(1\/34)*m**(-2\/15)\/(m**0\/m)*(m*((m**(1\/2)\/m)\/m)\/m*m)\/(m*m**(2\/7)) assuming m is positive.\nAnswer: m**(-15868\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -163761196.9999578 - -163760760. Let b = -437 - u. What is b rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428 - 74. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, 3, -8, -271, -1, 2, -2 in descending order.\nAnswer: 162, 3, 2, -1, -2, -8, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330 + -2340\/7. Is k greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-2) - 13*-26. Is 20\/4*(a - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 46 - (-100 + -21)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1293)\/15 - (-117)\/585?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.5 (c) 71 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k + 25. Suppose k*l + 2*o - 3*o = 0, -5*l = o - 9. Let s(n) = 246*n**3 - n**2 - 6*n + 7. What is the hundreds digit of s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13323 - 3022233?\nAnswer: -3102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*b - 3*b = 0, 3*o = -b - 4. Let m = o - -5. Suppose x**3 - x**4 - 3*x**2 - 2*x**3 - x - m*x**3 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1692013, 1692016, 1692019?\n\"Answer: 3*d + 1692010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r**3 - 58*r**2 + 48*r - 8 = 0 for r.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-6 - -31) - 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 5*v = -10. Suppose v*n - 10*n = -5528000. Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2636 + 39542\/15. Let t = -71\/6 + 23\/2. What is the closest to 1\/2 in t, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 r, and 1 b when four letters picked without replacement from brbbrebzbs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w - 35*w = -36. Which is greater: w or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 2*d - 4. Let l be r(3). Let q = 345 + -95. Let w = -250.3 + q. Sort w, -2, l, 4 in decreasing order.\nAnswer: l, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:20 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-245)*(-10)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -15. Let s be (y\/(-3))\/((-6)\/9). Suppose -5*x - s*z = 20, 5*z = 4*z - 5. Does x = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52717677886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8)*-1) + sqrt(2))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -9 - (19 + -11 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.54. Let p = 18626.3 + -18625. Is p greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 29) + -3 + 1. Let a = 295 - 163. Let j = a + f. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 48*n**2 + 5*n**3 - 48*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76317797 is divided by 4769862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1, -4\/5, -24173?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244218809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*n**5\/2 + 71*n**4 + 429*n**3\/2 + 94*n**2 - 46*n = 0. What is n?\nAnswer: -2, -1, 0, 2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/88 and -139\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 135693*o. Let r(q) = 75*q. Give a(r(m)).\nAnswer: 10176975*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 42. Let a = u + 66. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068459*0.3\nAnswer: 320537.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13400 = f, 368*f = 372*f - u - 53668. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2354259060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 31 = -4*o - 2*q, 0 = -5*o - 2*q + 23. Let x be (o - (6 - 8))\/(2\/6). What is the highest common divisor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -29. Suppose o*r = -0*r + 20. Is 15 a factor of (12\/(-10))\/(r\/(-190))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/180)\/(1 + 289062\/(-289059)). Let b = c + -5350. What is the common denominator of b and 47\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -47*g - 1275. Give x(-31).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65203215353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13*y. Let z(j) be the first derivative of -73*j**3\/3 + 2016. Calculate m(z(o)).\nAnswer: -949*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*s + 2913 = -893 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 0, 16 = 2*w + 2*w + 2*p. Let z be (16\/w)\/(8\/12). Suppose 0 = -3*i + l + z*l - 4, 0 = 2*i - 3*l + 2. Sort 4, 15, i in ascending order.\nAnswer: i, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 166. Suppose j = -3*h + 8*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*u - 10*u + 504 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 26 + -5 + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 5*m**2 + m + 1. Let p be q(2). Let r be ((-6)\/(-18))\/(2\/30). Let k(y) = -10*y**3 + 5*y**2. Let a(s) = -s**3 + s**2. Give p*k(d) + r*a(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76)\/sqrt(4)*2 - (sqrt(19) - (sqrt(19)*-3 + -5 + sqrt(19)))).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + 9*y**2 + (5 - 1 - 2)*(y**2 + 2*y**2 - 5*y**2) + y**2 + y - y + (0*y + 4*y - y)*(0 + 0 + y))*(-3 + 0 + 6)*(2*y + y**3 - 2*y).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1640882, -6563512, -14767906, -26254064?\n\"Answer: -1640882*a**2 + 16*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65, 27, -7, -13, 33, 155, 377, 723?\n\"Answer: 4*z**3 - 22*z**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:46 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -47*p**2 + 17*p - 11. Let c(h) = 16*h**2 - 6*h + 4. Give 17*c(r) + 6*w(r).\nAnswer: -10*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -21. Suppose 5*v = -10, w - 18 = 4*v - 0*v. Suppose 0 = c - i - w - 15, -5*c + 98 = 4*i. What is the highest common factor of c and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781, -6242, -21091, -50026, -97745, -168946, -268327, -400586?\nAnswer: -570421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -0.5. Let s = 0.2 - q. Let a = -8 - -4. What is the third smallest value in s, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (5 + -1))\/1. Let p be -3*(n - (-1)\/(-18)). Which is the nearest to 0.1? (a) -3 (b) 1\/2 (c) -0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/33 + (2 - (-8755)\/55). Calculate the greatest common factor of 253 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 55. Suppose 2*c = y + 2. Solve -2*q + 2 = -c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*k**2*l**2 + k**2*l - 41*k**2 - 10*l**2 - 9*l wrt k?\nAnswer: -20*k*l**2 + 2*k*l - 82*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2211, 4905, 7599?\nAnswer: 10293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.03\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50840 and 328.\nAnswer: 50840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(152) + sqrt(152) + sqrt(152))*-5)\/(sqrt(8) + -2*sqrt(968)))**2.\nAnswer: 475\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 + 2?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.5603 and -3.\nAnswer: -19.6809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from kkkvkvkkkkvkvkvkkkkk.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -75 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 1, l: 1, h: 2, m: 1, z: 10}. Give prob of sequence hlh.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2660706 divided by -3.\nAnswer: 886902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + t + 3*t + 4 = 0, -3*s = -4*t - 32. Suppose 2*j - 14 = -i, -j + 4*j + 23 = s*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*t*x + 755*c**3*t + 2*c**3*x - 5*c**3 + 12*c**2*t*x - 15*c**2*t - 51*c**2 - 3*t*x wrt c?\nAnswer: -24*t*x + 4530*t + 12*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 20. Let q be m(14). Let d(z) = -5*z + q*z + 0*z + 7*z. Let i(x) = 3*x. What is i(d(a))?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 7679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 10*t + 4. Let g be s(5). Solve 3*w + g = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4149255676.\nAnswer: 2, 1037313919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 422907 and 841.\nAnswer: 12264303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b**4 + b*y**3 - b*y + 545*y**3 with respect to b.\nAnswer: -20*b**3 + y**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*w - 1 = -8, 4*w = -t + 16. Let j be 2 + t*((-15)\/9 + 2). Which is the nearest to j? (a) -1\/5 (b) -0.3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 76*n + 1326. Let p(z) = -16*z - 20. Let r(v) = 5*v + 7. Calculate n*r(c) - 6*p(c).\nAnswer: 11*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108296161 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166973?\nAnswer: 166973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -830 + 833. Solve 3*q = -3*g + l, -2*g + 5 = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13923 = 68*z - 55*z. Let t = z + -490. What are the prime factors of t?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (-15 - (10 - 21)) + -9?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*21\/(-14)*2\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 60484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -629 (base 15) to base 8.\nAnswer: -2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140564069 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13010200022 - -12?\nAnswer: -13010200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226860654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -648*r**4 + r - r + 647*r**4 + 12*r**3 = 0. Calculate r.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39086 is divided by 574.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let w = -179 + 198. Let r(n) = -1 - 5 - 12 - n - w - n. Determine j(r(q)).\nAnswer: 2*q + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 1) + -102 + (-80 - -166)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147369 or -147407?\nAnswer: -147407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 460381 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-12) + -2 + 21\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -49*i**2 + 13*i + 3248 + 217*i**3 - 3297 + 36*i. Let h(l) = 9*l**3 - 2*l**2 + 2*l - 2. What is 49*h(g) - 2*u(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1491, 1481, 1457, 1413, 1343, 1241, 1101, 917?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38094 is divided by 5442.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/3*(-16)\/392*-21. Let j = -37\/84 - -3\/28. Suppose 3*g = 6*g - 12. Which is the nearest to j? (a) g (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 - 12078 = -202*p - 76*p. Calculate the remainder when 90 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1120)\/(-392)*(-14)\/4*1. List the prime factors of ((-58)\/x + -1)*3280\/16.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 133.619.\nAnswer: -133.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 7*j**4 + 3*j**4 + (-546 + 290 - 1567 + 3)*(4*j**4 - 3*j**4 - 2*j**4).\nAnswer: 1827*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csv when three letters picked without replacement from {s: 1, b: 6, c: 4, v: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 19. Calculate the greatest common factor of 33 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*d - 6. Suppose 0 = -4*g + q + 5 + 3, -8 = -d*g + 3*q. Find the third derivative of 0*c - 11*c**4 + 7*c**2 + 0*c + 12*c**g wrt c.\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96708 and 48?\nAnswer: 386832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -l - 5, 18 = -8*d + 10*d + 6*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -25*z**7\/42 - 27*z**5\/20 + 17*z**3 + 2*z**2 - 442*z. Find the second derivative of o(w) wrt w.\nAnswer: -500*w**3 - 162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 998625.4 weeks?\nAnswer: 167769067.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:49 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977777 is divided by 680?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/4 - 8*m**3 + 96*m**2 - 12*m. Suppose f(j) = 0. What is j?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5728845877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 75\/2*x + 11\/2*x**3 - 105\/4*x**2 + 19 - 3\/8*x**4. Find a such that s(a) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-8) + 1 + 5 + (-207)\/27. What is the second biggest value in -4, -3, v, 0.2, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**7\/3780 + s**6\/180 - s**5\/20 + s**4\/6 + 5*s**2. Let i(c) be the second derivative of v(c). Let i(z) = 0. Calculate z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d**3 - 8\/3*d**2 - 4 - 19\/3*d.\nAnswer: -(d + 1)*(d + 3)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -61. Let t be -37 - (-4)\/3*l\/8. Let u = t + 94. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*y + 78228 = -218*y + 3*a, 391044 = 5*y - a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 7*m**2 + 8*m - 8. Let p be d(6). Suppose -f - p*f = -210. Suppose -2*a + f = 3*r, -3*r - 3*a + 57 - 12 = 0. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105812422 and -46687.\nAnswer: -105859109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69750, -69748, -69746?\n\"Answer: 2*g - 69752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 4 + 1)*(-2*s**2 + 1 - s**2 + 0)*(1346 - 105*s - 1346).\nAnswer: -6615*s**3 + 2205*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 110*a + 809. What is d(19)?\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 8, 3*m = 4*m + a - 2*a + 9 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 - 16*i**3\/3 + 12*i**2 - 32*i\/3 + 10\/3.\nAnswer: 2*(i - 5)*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/77)\/((-4)\/16*(-16)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*-1*sqrt(80) - (sqrt(80) + (sqrt(80) + -3)*5 - sqrt(80))**2)*-5 + -3.\nAnswer: -66753 + 18480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k + 15 = 69*k. Let n be -3 - (-1 - (1 - 0)). What is the remainder when (n + 0)\/(1\/(-7)) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/11 less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 166*m**2 - 6*m - 343*m**2.\nAnswer: -509*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -228, -494, -766, -1044, -1328, -1618?\n\"Answer: -3*y**2 - 257*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 3*s + 28. Suppose 4*k + s*v = 8, 0 - 4 = -3*k - 5*v. Suppose 0 = 2*p + k*f - 72, p - 3*f = f + 14. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.19263 rounded to two decimal places?\nAnswer: -44.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(550) + sqrt(550) - sqrt(550)) + sqrt(22))\/(sqrt(2) - -2*sqrt(8)) + (-4*(0 + sqrt(275) - sqrt(275)))**2*3 + -2.\nAnswer: -9*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 14*c + 398. Calculate v(-27).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - 0 - (-18 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -18511?\nAnswer: -132\/18511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 180, 191, 200, 207?\n\"Answer: -j**2 + 14*j + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18.9. Let k = c - 1.098. Round k to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 78. Let c(p) = -p**3 + 7*p**2 + 8*p + 4. Let x be c(8). Solve 4*b + 4*a - x = 24, -3*a + u = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5375\/(-20) - (80\/(-5) - -13). Is y at most -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 32. Let p be k(-10). Let o = p - -46. Suppose -b + o + 71 = 0. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 12912324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-5 - -1) - (-296 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-46))\/(1\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -38) + -31 - 11\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9550 and 1950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.702 + -0.64. Let i = j + -0.06139. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 7*o**2 - 11*o - 4. Let q be a(-5). Let n be (q*4\/(-12))\/((-2)\/30). Solve 0 = 2*r + n*l - 3 - 19, -5*r - 3 = -2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, 4, 2, -4 in decreasing order.\nAnswer: 27, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u - 3*z = -66*u + 7, -4*u = -3*z - 5. Let k(f) = 8*f**3 - 7*f**2 - 4*f + 7. Let p(t) = -t**3 + t**2 - 1. Determine u*k(d) + 14*p(d).\nAnswer: 2*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 9600468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-6))\/((-2)\/(-3)). Let q = o + -4. Let l be 0 + 22\/(q - 2). Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*w - f - 1, 0 = 3*f - 6. Let a = -3 - -4. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909071?\nAnswer: 909071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 193898, 387771, 581644, 775517, 969390?\n\"Answer: 193873*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -121. Suppose -4*d + x - 2 = 0. Solve -2*w = -d*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12325892.\nAnswer: 2, 53, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1184064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(24\/7)*v))\/(v**(-35)\/v*v))**48 assuming v is positive.\nAnswer: v**(10608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -13. Determine g, given that -3*g**2 - 309*g**3 + 306*g**3 - 15*g**2 + 3*g**z = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let x(q) be the third derivative of q**4\/8 - 5*q**2. Give i(x(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.14806?\nAnswer: 0.14806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:11 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 2\/(4 + -2). Let q(i) = i**2 - 6*i - 6. Let y be q(n). Let d(t) = -t**2 - 8*t - 2. List the prime factors of d(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 4 - 4 - 3 - f**3 + 0 - f**3 + 0 + (-5 + 5 - 3*f**2)*(0 + 0 - 3*f) - 3*f**3 + 4*f**3 + f**3 in the form i*f + k + o*f**3 + x*f**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -0*x, 5*x - 7 = -2*i. Let r = i + 11. What is the second derivative of 5 + r*y**2 - 4 - 1 + 5*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -290 in 3, -2\/7, -4, -5, 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 279 - 265 = -40. Suppose -61 = -4*w - 5*p, -2*w = 3*p + 2*p - 33. Let c = -8 + w. What is the greatest common factor of c and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 10. Let l be g(-7). Let k = 0.09 + -0.29. Let x = 0.59 + -1.09. Which is the second biggest value? (a) k (b) -4 (c) l (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and ((-696)\/15 - -3 - -8)*-15?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1)\/(3\/(-6)). Suppose i + i = c. Suppose -4*a + 6 + 94 = i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50012214?\nAnswer: 2, 3, 7, 79, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2. Let q(l) = 68*l - 2. Let z(v) = 143*v - 4. Let c(a) = -10*q(a) + 4*z(a). Determine c(n(d)).\nAnswer: -108*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -114. Let h = l - -57.3. What is the nearest to h in 1\/15, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42168848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -14 + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 5. Does 12 divide o*3\/((-9)\/93)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 78.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 minus 3?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a**3 - 4*a**2 - 6. Let f(c) = -29*c**3 - 7*c**2 - 11. Determine 6*f(x) - 11*o(x).\nAnswer: -9*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 94.5. What is the closest to s in -1\/4, -1\/3, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuunuuuu. Give prob of sequence uu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 5 (c) -4\/9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-28 - (20 + -42))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13207 or 13202?\nAnswer: 13202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llglglltytlvlttlll. Give prob of sequence lltg.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 6, v: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*l**3 - 16*l**3 + 25*l**3)*(-l**2 + 5*l**2 - 3*l**2) + (-2*l**5 + 1 - 1)*(-4 + 5 - 2) + 0*l**5 + l**5 + l**5 + 4*l**2 + 2*l**5 - 4*l**2.\nAnswer: 40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p + 116 = -92*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1)**2 - (sqrt(200) + -1 + sqrt(200)).\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 5 + 9)*(199 - 95 - 48)*(-2 + 2 - 2*t**2).\nAnswer: 2240*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -62. Solve 2*i + v = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142147?\nAnswer: 41, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -0.4, -2, -673521, 1, 0.\nAnswer: -673521, -2, -0.4, -0.11, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.00000084. What is o rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447369 is divided by 258.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q + 173. Let n be g(-6). What is the nearest to -1 in 64, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8227, -8285, -8341, -8395, -8447, -8497?\n\"Answer: a**2 - 61*a - 8167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2518 = -254*c + 1800 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -80, -122, -180, -260, -368, -510, -692?\n\"Answer: -w**3 + w**2 - 28*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132969 and 127.\nAnswer: 132969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 374*d**2 - 751*d - 376.\nAnswer: (d - 376)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*z + 4 = 619*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 5*l**3 - 6*l**3 + 10*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. List the prime factors of j\/((-2)\/(-28))*1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265 and 3645477?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/461 (c) 3 (d) -4\/11 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318275 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: Round -4448725049 to the nearest 100000.\nAnswer: -4448700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7169751053?\nAnswer: 7169751053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and -25\/3248698.\nAnswer: 9746094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -87. Let z = -41 + d. Which is the smallest value? (a) 2 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, -302.6, 1 in increasing order.\nAnswer: -302.6, -0.2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(9\/54). Let o(b) = -11 + 18*b**t + 11. Let w(x) = 199 - x - 199. Determine o(w(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*(-24)\/(-27))\/(10\/15). Solve -3*g = -5*g + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -56678?\nAnswer: -5665c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - sqrt(108)*-3)*-3.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 22 - 76 = 0. Let q = h - 9. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -71. Let v be (g\/((-30)\/9))\/(2\/(-4)). Suppose -21*n**2 + 12 - 3*n**v + 11*n**3 - 8*n**2 + n**2 + 8*n = 0. Calculate n.\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 6*o + 1. Let y be b(3). Let j be 183\/244*32\/3 + 27. What is the highest common factor of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/354819691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**8\/2240 - t**5\/24 + t**4 - 8*t. Let r(s) be the third derivative of q(s). Let x(y) = -y**3 - 1. What is -r(z) + 5*x(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (200\/140)\/(115\/27692) and 240?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000011101010001100111 - 10?\nAnswer: 1011000011101010001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 3. Let m be r(8). Let b be (-3)\/m - (-28)\/5. Suppose 3*s - s - 214990 = 5*d, b = -s. Round d to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 5*z + 3*z + z**2 + 0*z to l + n*z**2 + i*z and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69444.6699 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47899 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -508*1.4\nAnswer: -711.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -23. What are the prime factors of 5*6 + (m - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.27 and -2490.82334?\nAnswer: 2486.55334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28696 and 774384?\nAnswer: 163395024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -1, -3\/5, -325291?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(-2*z**2 - 3 + 3) + 3*z**2 + z**2 - 5*z**2 + z**2 - 2*z + 2*z)*(-4 - 2 + 1)*(-2 - 3*z + 2).\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**3 + 158*b**3 - 52*b**3 + 3*b + 3*b - 56*b**3.\nAnswer: -5*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 9. Suppose -2*y + 0*v + 2*v + 60 = 0, 4*v + 20 = 0. Let o = y + -19. Calculate z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 y, and 1 b when four letters picked without replacement from yybyjjbjbayyyj?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340040 (base 6) to base 5.\nAnswer: -4401232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264578 - 44455. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27921\/2 + -13395. Let l = r + -556. What is the common denominator of l and -32\/407?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Sort -2, l, -0.4.\nAnswer: -2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - 13.2. Let j = t - -8.5. Sort -5, j, -12, -0.4 in decreasing order.\nAnswer: j, -0.4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 - -156. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 6. Let n be w(4). Let d = n + -17. Let i(j) = 13*j - 5*j**2 - d*j. Let l(u) = 2*u**2. Determine l(i(m)).\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k**2 + 17 - 17.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 1:50 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -37285*h**2. Let n(r) = -4*r**2. Give s(n(q)).\nAnswer: -596560*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 68*q**3 + 466*q**2 - 400*q.\nAnswer: 2*q*(q - 25)*(q - 8)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 27. Is 12\/7 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*s + 3*n, 3*s + 5*n - 13 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2)\/((-2)\/7). Let d be 1 + (i - (6 - 3)). Let b = d - -20. Solve 5*s - 4*r = 2, -r + b = -5*s + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712*w = 5*p - 1710*w - 27, -17*w + 13*w - 51 = -5*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/4*(3 + (-14 - -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 + -331. Suppose 5*s = -u + 348. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (770\/154)\/((210\/12)\/(-7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/20 - c**4\/4 - c**3\/6 + 5*c + 12. Let x(o) be the first derivative of s(o). Calculate x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35586 - -0.05586. Sort 111, 3, c.\nAnswer: c, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**2 + 5336*d - 3552.\nAnswer: -4*(d - 444)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708858 is divided by 140?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253165.\nAnswer: 5, 41, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 51\/2. Let y = 10.7 - 11. What is the nearest to 0.05 in 5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/9 + 184*f\/9 - 4232\/9 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4225.3 plus 2938.2?\nAnswer: -1287.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 42\/(-8)) + (-2 - 1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asaj when four letters picked without replacement from {j: 5, b: 3, o: 1, s: 1, v: 1, a: 2}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 + 21\/12. Suppose -1 = 5*w + b - q, 4*w - 20 = 4*b. Let f(a) = -w + 5 - a - 4. Let n(c) = 4*c**2. Give f(n(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -701800, -701813, -701838, -701881, -701948, -702045?\nAnswer: -702178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002082 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d - 16. Let y = -10249 + 10254. Determine p(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729482, 2917934, 6565352, 11671736, 18237086, 26261402, 35744684?\nAnswer: 46686932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -3. Which is the third smallest value? (a) -0.4 (b) 3 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32022543 (base 6) to base 13.\nAnswer: 26a270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 22 + 70. Let h(f) = -4*f - 49. List the prime factors of h(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaaaafacaaagaagaf. Give prob of sequence caaz.\nAnswer: 11\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7*o - 40. Suppose -o = -3*z + 5. Let t = 10 + -6. Solve 0 = z*s + t*w + 8, -s + 2*s - w = 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okyi when four letters picked without replacement from oikiyaiyroy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43637 - -43637.0000072437. Round u to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 13*w**2 + 13*w + 20. Let g be x(11). Let h(l) = -8*l - 26. Let z be h(7). Let i = g - z. Solve -i*u + 15 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/5 - 281*f**2\/5 - 19721*f\/5 + 20001\/5 = 0. Calculate f.\nAnswer: -59, 1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-23)\/(x\/(((x*x**(1\/2))\/x)\/x)*x)**21)\/((x**(-2\/3)*x*x\/((x**7*x)\/x)*x)\/((x\/((x\/x**(-2))\/x))\/(x*x**(1\/5)*x))) assuming x is positive.\nAnswer: x**(-9337\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2616, 353, -3 in descending order.\nAnswer: 353, -3, -19, -2616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 77*b**2 - 789*b + 585. Determine x(65).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 753*w**3 + 375*w**3 + 3*w**2 - 17 + 374*w**3 + 0*w**2 as f + v*w**3 + t*w**2 + x*w and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k**2 + 5*k - 6. Let m(l) = 3*l - 52. Let d be m(21). Let q = -9 + d. What is the units digit of c(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100978517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - 2*sqrt(833)*3) + -4 + -5 + sqrt(833) + sqrt(833) + -1 + -1)**2.\nAnswer: 462*sqrt(17) + 7618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*l - 75*l = -78*l - 249. Let c be (1 - (-5)\/(-6))*-2. Is l at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 13. What are the prime factors of g\/2*(-2 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2256)*-28*(-74)\/259?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llylllylly.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 920676671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j + 11. Let y(o) = 33*o + 12. Calculate 5*g(r) - 4*y(r).\nAnswer: -2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 15*r - r)*(-1 + 2 + 0) - 5*r - 19*r + r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14714*j + 30 + 0 - j**2 - 14725*j. What is u(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**3 - f**2 + f - 1. Let g be n(1). Calculate the highest common divisor of 80 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 3. Let b = -1 - -7. Let w = b - 11\/2. Is l at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12125800 rounded to the nearest one hundred thousand?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 193*d + 775 = -2*d. Sort -1\/4, d, -75, -3.\nAnswer: -75, d, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41344 - 101430424?\nAnswer: -101334030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 702.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 31*k - 135 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 50 = 18*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362257 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {j: 4, b: 7, w: 1, e: 4, q: 2, y: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1134\/972*7\/98\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldld when four letters picked without replacement from qeqdqlxllqlqlleqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 - 1612*q**3\/3 + 326426*q**2\/3 - 216008*q + 107736.\nAnswer: 2*(q - 402)**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 = -5*s, -2*s - p = -5*p - 18. Let d be 1*(5 - -1 - s). Let w = 41 + d. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 133?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/36)\/(10\/180).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10*t = -48. Calculate the greatest common divisor of 28 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -750 divided by -64\nAnswer: 375\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 4*h - 119 = -81, 0 = 2*h + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.09 - -0.09. Let g = -5.5 - x. Which is the second biggest value? (a) g (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5449 + 66 + 474)*(3*f - f - 3*f).\nAnswer: -5989*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 2 h when four letters picked without replacement from {h: 11, l: 5, z: 1}.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1153 + 5*u + 596 + 13 - 7*u in the form n + b*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i - 52*i - 744 = 0. What is the nearest to 0.2 in 0.2, 0.1, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/25*(-460)\/(-8). Let g = n + 159. Let k = g - -61. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 3694.21?\nAnswer: -1477.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1288.1 + -191.1. Let w = x - 1096.8957. Round w to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p\/(p*p\/p**(-1)*p)*p*p*p))*p)\/p)**11*p*p\/(p*p\/(p**(-5)\/p)*p)*p**1)\/(p**7\/(p\/p**(4\/7)))**(2\/19) assuming p is positive.\nAnswer: p**(573\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 9, c: 3}. What is prob of picking 1 c and 3 b?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8956, -35830, -80612, -143302?\nAnswer: -223900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 4, u: 2, s: 9}. What is prob of picking 1 a, 1 s, and 2 u?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 183\/4*o**2 - 1\/4*o**3 + 13552 - 2244*o.\nAnswer: -(o - 88)**2*(o - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*-2 + sqrt(152))\/(sqrt(392)*-1))**2.\nAnswer: 475\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/51*(-2 + -13)*1. Solve h = 2*b - 15, z*h = -0*h - 5*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17301740 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1614211809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*s**2 - 104 - 265*s + 102 + 2 in the form q*s + a*s**2 + d and give q.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14718277?\nAnswer: 7, 17, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58104824 is divided by 586?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -16129, 17.872, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(4\/5))**5\/(p\/(p\/(p\/p**(2\/9)))*p)**(-1\/69) assuming p is positive.\nAnswer: p**(8710\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 8 in descending order.\nAnswer: 8, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 140?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*z. Suppose a + 5*k = 3, -5*a + z*k + 15 = -27. Solve v - 3*v = a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/7 - 2648686*j\/7 + 3405465 = 0.\nAnswer: -2648695, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7000, 0, -3, -1 in decreasing order.\nAnswer: 7000, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52678262 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 8*s + 44. Give b(16).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 + 9 = 3*z, -3*i - 21 = -3*z. Factor 7*u + z*u - 2*u + 15*u**2 + 5*u**3 + 0*u.\nAnswer: 5*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 - 15 = 0. Suppose 11*m - 19 + 85 = 0. Put m, 2, 3, b in ascending order.\nAnswer: m, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/2 + 2*w**4 + 2*w**3 - w**2 - 5*w\/2 - 1.\nAnswer: (w - 1)*(w + 1)**3*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-264))\/((-36)\/3942) + 285\/9576*-21?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547989 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*b + 73, b + b = -t + 22. Suppose -b = -p + 6. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10389 - -10391. Solve s*n = -4*a, -39 + 51 = -3*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - u - 11, 14 = 4*r - u. Suppose -90 = -3*b - 2*o, 0*b = r*b + 4*o - 84. What is the highest common factor of 48 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 218, 1613 in descending order.\nAnswer: 1613, 218, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28314 divided by 78.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b**22*b))*b)\/b*b*b)*b**(-11\/5)*b*(b*(b*((b**(-29)*b)\/b)\/b)\/b)\/(b\/(b\/(b**(-39)\/b)*b)))**(-11\/5) assuming b is positive.\nAnswer: b**(726\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 0.566, 0.5, 0.3, -8\/37?\nAnswer: 0.566","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*40\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 - (-2 - 9\/((-1646640)\/2012950)) and 51\/2.\nAnswer: 18296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202472892?\nAnswer: 2, 3, 19, 79, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(392)*2*2 + -4)**2.\nAnswer: -18864 + 1344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 3*k - 1. Let x be g(2). Put -4, x, -1 in increasing order.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 4. Calculate k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28785*-16\nAnswer: -460560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*i, 3*i - i + 3 = -n. Let y(h) = -10*h + 3 - 2 + 0. Give y(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -6)\/(4\/6). Let v(x) = -x**3 - 5*x**2 - 6*x + 3. Let r be v(s). Suppose -3*y + 5 = -t, -6*t = -3*t - 4*y + 5. Solve t = -r*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*z + 78*l - 27*z + 277 wrt l.\nAnswer: 3*z + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j. Let x(m) be the third derivative of 1\/10*m**5 + 10*m**2 + 0*m**3 + 0 + 0*m**4 + 0*m. Determine v(x(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kog when three letters picked without replacement from {g: 3, a: 5, o: 1, k: 10, x: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -480 + 19201\/40. Let o(k) be the third derivative of 0*k**3 + 0*k**4 + 0*k + s*k**6 + 3*k**2 + 0 - 1\/60*k**5. Determine o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 451, 449, 447?\n\"Answer: -2*d + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.84 + -0.74. Is -8 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2. Let o(v) = -2560*v**2. Determine o(p(m)).\nAnswer: -64000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16983 and 24272481?\nAnswer: 218452329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/607537?\nAnswer: 1\/607537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:05 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1751 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84507 + 760663\/9. Determine f, given that -4\/9 + 2\/9*f + t*f**2 - 50\/9*f**3 = 0.\nAnswer: -1\/5, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1968.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 4. Let x be (-37)\/(-13) - (-2)\/w. Which is the nearest to 0? (a) x (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958517 is divided by 1958496.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 3. Let y be h(12). Let g = y - 6. Let n = g + -18. Solve n = 8*v - 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8624 and 14553.\nAnswer: 232848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 + 7 - f**3 + f**2 - f - 10 - 2*f**2. Let d be u(-5). Solve i = -1 + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j - 2. Let a(f) = 2*f + 10. Let h = 4 - -6. Let l(o) = h*b(o) + a(o). Let x(c) = -11*c. Give x(l(v)).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 12875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3399 and -65\/1636773.\nAnswer: 18004503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 26. Let j be o(-8). Suppose -1 - 5 = -j*y. Calculate the highest common divisor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -130*b**2 - 8*b - 5. Let s(g) = -132*g**2 - 7*g - 4. Determine 4*s(u) - 3*t(u).\nAnswer: -138*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 2*q)*(3 + 0 + 0) - 3*q + 5*q + 0*q + (-2 - 3 + 3)*(0*q + q + 2*q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15683.6582 - -15683. What is m rounded to 2 dps?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 25 = -2*m, -15 = -0*l - 5*l. Find the first derivative of 5 + 6 + 4 + m*d**3 - d**3 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -13.\nAnswer: 23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 - 12*h - 4*h - 9*h. Is m(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/10 - b**5\/20 + 13*b**4\/3 + 3281*b**3\/6 + b**2\/2 - 6056*b. What is the second derivative of n(x) wrt x?\nAnswer: -36*x**2 - 6*x + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4423664 and 889?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1603, -1608, -1615, -1624, -1635, -1648?\nAnswer: -1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:37 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27723746?\nAnswer: 2, 59, 234947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from rixrraiixiiixiirxrx.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3230 + -2821. List the prime factors of z.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5353 + 125?\nAnswer: -5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = 9. Suppose 29 = 5*w + 34. Put z, w, -3, 5 in increasing order.\nAnswer: -3, w, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11d + 2?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4\/7, 4, -1, -0.39, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024429 to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0*i**2 + 0 + 2*i - 2\/7*i**3 + 1\/21*i**4. Factor w(q).\nAnswer: 4*q*(q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - y**2 + 31*y**3 + 9*y - 30*y**3 - 7*y as x*y**3 + b + o*y**2 + a*y and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-16))\/(2\/4). Suppose -2*w + b*h + 182 = 0, -187 = -2*w + 12*h - 11*h. Calculate the greatest common divisor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**5\/60 - c**4\/6 - 8*c**3\/3 - 8. Let u(i) be the third derivative of a(i). Determine u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2249, 2490, 2865, 3350, 3921?\nAnswer: 4554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 464320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (3 - -18) - -32) + -5 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -445*o**6\/3 - 61*o**3\/3 - 2*o**2 - 932. Find the third derivative of l(t) wrt t.\nAnswer: -53400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let z(k) = 2*k**2 + 5*k. Let s(y) = -5*f(y) + z(y). Let u(h) be the second derivative of 4*h**3\/3 + 2*h. Determine s(u(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 125*o**3 - 2*o**2 + 6*o + 9. What is p(-1)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 34*a - 33*a = 4556, 0 = -5*y - 2*a + 7592. What is the smallest common multiple of y and 76?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -1, -18, -55, -118, -213, -346?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 + 5*a**2 - 7*a + 1. Let d(x) = -4*x**3 - 6*x**2 + 8*x - 1. Let o = 15 + -10. Determine o*d(m) + 6*r(m).\nAnswer: -2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 36 - 17*w**4)*(9 - 238 - 40) as u + v*w**3 + d*w**2 + j*w + l*w**4 and give l.\nAnswer: 4573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 7 - 4 - 5*h**2 - h + 0. Let m(z) = -6*z**2 + 4 + 827*z - z**3 + 816*z - 1644*z. Calculate -3*m(k) + 4*t(k).\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 216429465 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a*a\/(a*a\/((a**7*a)\/a))*((a\/((a\/(a*((a*a**(-1\/8))\/a)\/a)*a)\/a))\/a)\/a**4)\/((a**(2\/3))**(7\/13)*(a**(-1))**(-29)) assuming a is positive.\nAnswer: a**(-8653\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*h + 495 = 0, -4*c - h - h = 402. Let d = -95 - c. Solve 3*m - m = 5*i - 12, -3*i + d*m = -11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 93\/33 - 6\/(-33). Let l = d - 6. Let u be l*-1*(-21)\/(-3). What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 19 - 3 + 1 - 1 + 2 + (0 - 1 - 1)*(0 - 4 + 2) - 2 + 1 + 3)*(2 - 2 + 5*g).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 58*r - 20)*((1 - 1 + 2*r)*(4*r**2 - r**2 - 2*r**2) + 2*r**3 + 5*r - 5*r) as p*r**4 + x*r + z + c*r**3 + y*r**2 and give p.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by (77\/(-14))\/((-7)\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3\/3 + 4*l**2 + 4*l - 1. Let n = 34 + -19. What is the remainder when n is divided by h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2981979.\nAnswer: 3, 7, 11, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -164, 0.34, 1, 5, 0.8?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(85) + sqrt(85)*-3*-2)\/((sqrt(30)\/sqrt(3)*3 + sqrt(10))\/(1*sqrt(2)*-2)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 at most as big as -1672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/16)\/((-1)\/(-4))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/57 and ((-3892)\/1254 - -3) + -3*8\/(-228)?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x. Suppose 0 = 5*q - 0*q. Let g(d) = -2*d + 5*d + q*d + 4 - 4*d. Calculate g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*o + 128, -h - 2*o - 11 - 21 = 0. Let w = -11 - h. Let f = w + -13. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4)\/r*r*((r**(-2\/9)\/r*r)\/r)\/r*r)**(-7))**(2\/39))**(-3) assuming r is positive.\nAnswer: r**(-658\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -67, -85, -83, -55, 5, 103, 245?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 1622754744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 315 - 36*k**2 + 11*k + 323 + 7*k**3. What is the smallest common multiple of f(4) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3807 + 30446. What are the prime factors of p?\nAnswer: 34253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3626)\/294*((-272)\/51 + (2 - (-40)\/(-15)))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 3. Let v be 20*((-14)\/(-4) - o). Suppose -4*i + v = i. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-7)*c)**(2\/49)*(c*c*c**(-5\/3)*c)\/c*c**4 assuming c is positive.\nAnswer: c**(697\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007915341 to 4 decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 10. Let z be u(-2). Which is the closest to -1? (a) 0.5 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -25. Let y(b) = h*b + 2*b**2 + b**2 + 2 + 0 + 2*b**3 - 3*b. What is y(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxxf when four letters picked without replacement from {f: 2, i: 3, x: 6, a: 2, p: 1}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35360, -77421, -119482, -161543, -203604?\n\"Answer: -42061*s + 6701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108087 by -6.\nAnswer: -36029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -10\/192783?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by -1964172?\nAnswer: -37\/491043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 32468*k**2 - 64948*k - 32476 = 0 for k.\nAnswer: -1, 8119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -92?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 48042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4257 and 12875808?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 14. Solve 1 - z*j + 16*j**2 - 1 - 2 - 18*j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utiuiiatti. Give prob of picking 1 a and 2 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)\/t**4)\/(t*(t\/(t*t\/t**3))\/t)**16 assuming t is positive.\nAnswer: t**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/25, 0, -1.\nAnswer: -1, -2\/25, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -15*g + 12. Let i(r) = -r**2 - 1. Let n(z) = -2*z**2 - 29*z + 20. Let d(k) = 3*i(k) - n(k). Let o(j) = -3*d(j) - 5*w(j). Factor o(b).\nAnswer: 3*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331973 - 19832*s - 331973.\nAnswer: -19832*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)*(-7 + 8). Let w = 3 - 2. Let d = w - 0.8. What is the nearest to 1 in 3, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 1. Let s(u) = 2*u**2 - 11*u + 43. Let k(c) = c**2 - 5*c + 22. Let z(q) = 5*k(q) - 3*s(q). Let y be z(5). Give v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -454 - 239. Let d be (-4)\/(-10) + (-286)\/(-10). Suppose -y = 4*y + 2*u - j, 0 = 2*y - u - d. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let x be ((-198)\/(-54))\/((-1)\/3). Let d = o - x. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 223 - 170 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 1058 + 18*p**2 - 1056 + 2114 - 23*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 6100, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 141218882 = -w, -3*v + 4*w + 141218884 = 2*w. Let q = v - 77858633667\/1654. Let i = q + 2\/827. Find the common denominator of i and 47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:43 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66020 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68986575.\nAnswer: 3, 5, 7, 43801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587.6489 rounded to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 6*j - 20. Determine b(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 47082*t**4 - 94173*t**3 - 47088*t**2 = 0. What is t?\nAnswer: -1, 0, 15696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160\/3 - -54. Let s be (8\/(-20))\/((-19)\/(-5)). What is the nearest to j in -2, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -789 + 770.35. Let o = f + -0.35. Let c = -20 - o. What is the closest to c in -1\/7, 5\/2, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(176))**2 - ((5*(sqrt(121)*-2 + sqrt(121) + sqrt(121)))\/sqrt(11))**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b**2 - b - 1. Suppose -3*y - 6 = -5*s, -3*s + 5*y - y = 3. Let l = s + 1. Let f = -5 + l. What is o(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(320) - (0 + sqrt(320)))**2 + sqrt(320) + 0 + -4 - (2 + (-3*(1 + sqrt(320)))**2)) + 1.\nAnswer: -2897 - 136*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyeeeeyeyy. Give prob of sequence yyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 46 - 19 + 2*w**2 to l*w + n + f*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 21*v + 14, -4*v - 43 = -5*n. Solve 0 = -n*y - 17 + 66 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 - 2*c - 2. Let v(p) = -205*p**3 - 2 + p + 407*p**3 - 203*p**3 + p**2 + 5 - 2. Let o = 6 - 8. Give o*h(i) - 4*v(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 172594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 + 4?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5128258 divided by -18?\nAnswer: 2564129\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j + 1122. Let r = 13 - 8. Calculate the remainder when r is divided by o(-59).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 4*a**2 - a**2 + 0*a**2 + 4*a**2. Determine p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = -9*r. Let l be (-2 + r)*(-2 - 1\/(-1)). Let v(y) = -15*y + 1. Calculate v(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*f - 4*f. Solve 0 = -2*p, z + 2*z = 3*p - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -54. Let d be ((-4)\/16)\/((-10)\/n). Let r = 99.7 + -98.7. Which is the second biggest value? (a) 0.03 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341 + 14*d**2 + 341 to the form n*d**2 + b*d + k and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78699574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 16\/6)*-18. Suppose -3*y - 2*w - w = -33, -2*y - w = -21. Let h be (g\/195)\/(4\/y). Which is the closest to 1? (a) 1 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w**2 - 2*w - 1. Let c be y(2). Let k = c + 77. Let q = -19 + k. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17, -2\/9, 0.4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4 - 5 + 7)*(-7 - 3 + 2).\nAnswer: -16*y - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 281138737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-18))\/(2\/4). Let t = -2085 - -8341\/4. Which is the nearest to 0.2? (a) x (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztxxxxzkxxtzzlwlx. What is prob of picking 1 w, 1 k, and 1 l?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 3*b + 2*b + 56 = 0, 4 = 4*l - 2*b - 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 8*l**2 - 49*l - 268. Give c(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-8)\/(-12))*(-21)\/35.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 2*v - 36234 + 36324 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.44431 and -2.1.\nAnswer: 0.933051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2 - 6. Suppose 2*c + 20 = 2*i - 0*c, -48 = -5*i + 4*c. Suppose 0*j + i = j. Calculate the greatest common divisor of j and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 9*z - 14. Let r be u(-10). Let g be 0 + r + 13 + -4. Let q be g + 1*(-2 + -1). Solve q*o - 13 = -3*p, 3*o - 18 = p - 4*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1411 + -642. Let f = y + -768.99673. What is f rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, v: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/42*-8*((-247)\/19)\/(3874\/1043).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-81)\/(-36) - 0)\/(3\/32). Put 0, -2, w in increasing order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 25*o**2 + 24*o + 32. Determine i(26).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/10))\/(v*v**(-2\/9)))\/((v\/v**(-15))\/v**(-24)) assuming v is positive.\nAnswer: v**(-3571\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + -51. Let a be (-4*3)\/(-2)*3. What is the common denominator of (-155)\/12*a\/v and -75\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5487 - -5427.54. Let o = 60 + b. Let m = 0.04 - o. What is the closest to -3 in -0.4, 1\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -2. Suppose -2*s = -3*n - n + 8, -z = s - 5*n. Suppose v + 216 = s*v. What is the highest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1105553, -2211149, -3316745, -4422341, -5527937, -6633533?\n\"Answer: -1105596*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10249633*z**5 + 6*z**2 - 80950*z + 10 wrt z.\nAnswer: -614977980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15240958, 30481919, 45722878, 60963835, 76204790, 91445743, 106686694?\nAnswer: 121927643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.2968 * -2.0699\nAnswer: -2.68424632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - w - 1173 = 0, 3*q - 372 - 511 = 4*w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84 - 6?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 4*u - 5. Let o(i) = i**2 - i + 1. Let n(a) = 4*o(a) + q(a). What are the prime factors of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:26 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2285\/13 + 176. What is the fourth smallest value in z, -2\/11, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6054, -6055, -6044, -6015, -5962, -5879?\nAnswer: -5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.37 + 0.03. What is the second biggest value in -1, 7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/20 + 5*q**4\/12 + q**3\/6 + 7*q**2\/2 + 5*q. Let b be k(-5). Solve -3 + 14 = -w - b*v, -3*w + 2*v - 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:28 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -776 - -801. Let o = -7 - -12. Solve -3*s + 17 = 5*w - o*s, -w - 5*s = -i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -330*q + 1640. What is d(6)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from {r: 2, y: 2, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130754, 261508, 392262, 523016, 653770, 784524?\n\"Answer: 130754*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 - 3*m - m**3 + 0*m as s*m + k + j*m**3 + g*m**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 5 (c) -28\/5 (d) 8\/7 (e) 0.2 (f) -1\/2 (g) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x**2 + 0*x**2 + (0*x - 3*x + x)*(2*x - 2 + 2) + (2 + x - 2)*(x - 3 + 3).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58689683 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61511213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31658 is divided by 427?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - c = -0*c, 0 = -5*r - 2*c. Suppose 0 = -a - 3*a - 2*p + 42, -3*a - 4*p + 19 = r. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -29.\nAnswer: -29, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -14. Which is the nearest to o? (a) 2 (b) 5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8 and 40\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -810? (a) 1 (b) 0.5 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2.4, -43 in increasing order.\nAnswer: -43, -2.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*((0*h - 3*h + h)*(0*h - 2*h + 0*h) - 347*h**2 - 137*h**2 - 683*h**2).\nAnswer: -1163*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1968328 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1\/6*v**4 - 3*v**2 + 0 + 2\/3*v**3 + 0*v + 1\/60*v**5. Find o, given that n(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/80 and -19\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)*n*n**5)\/(n*(n\/n**15)\/n)**(-3\/5) assuming n is positive.\nAnswer: n**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 4*v + 4*v + v + 3*v - 6*v + (-1 - 3 + 3)*(v - 2*v + 2*v) + (-2*v + 0*v + 4*v)*(2 - 2 + 2) to b + i*v and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10036 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 18\/1367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 7*z - 31. Give h(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4966 - 2231. What are the prime factors of q?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/16 and -65\/86.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 7. Suppose 8 = 2*m - 0*m. Let z = m - 0. Calculate the remainder when d(7) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4 = 0, d + 12 = 5*s + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 0.05\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -19. Let x = -2.5 - v. Let f = -0.8 - -1. Sort x, f, 0.1, -2 in increasing order.\nAnswer: -2, x, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 - -8. Let l = o - -1. Let z = -1.1 - l. Which is bigger: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*o - 67 + 27, -6*f = 2*o + 74. Sort -1\/3, -4, f in decreasing order.\nAnswer: -1\/3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, -1, 1\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552*b - 60 = -522*b. Put 2, -4, b, -23 in increasing order.\nAnswer: -23, -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-15)*(-1 - -2). Let s(o) = -o**3. Let d(h) = 2*h**3 - 1. Let a(b) = l*s(b) + d(b). What is the first derivative of a(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 3. Let o be (-1 - (-2)\/(-3))*(-42)\/35. Let r(k) = -2 - 2 + 4 + o*k. What is t(r(y))?\nAnswer: 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/924 and 30\/273317.\nAnswer: 22958628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 37 = 131. Calculate the remainder when p is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -3. Let k = 5.33 + -0.33. What is the closest to l in k, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14846*z + 14841*z - 29696*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 10. Let z(c) = -c - 2. Suppose -5*b - 31 = -u, -5*u - b - b = -47. Suppose 43*f = 46*f - 6. Give f*h(p) + u*z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 7:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 24, 19*u + 13205 = 24*u - 5*g. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-30355)\/(-1868)*(-96)\/(-78))\/((-2)\/(-4))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10954 = -2*r, -4*r = 3*s - 12305 + 4097. What are the prime factors of s?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*3)\/sqrt(6))\/(sqrt(300) + (sqrt(300) - 3*sqrt(300) - sqrt(300) - sqrt(300))) + -4.\nAnswer: -4 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*y - 25542 = -485*y + 401*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18433 is divided by 2294.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6530 + -66?\nAnswer: -6596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5584*-2.\nAnswer: -3.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1047 or 8379\/8?\nAnswer: 1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**2 + 3 - 680*b**3 - 46*b + 679*b**3 + 0 + 50*b. What is g(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from zztzztttttttzt.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072*a - 1195*a = 3444 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485*w + 229044 = -2967*w + 1488*w. What are the prime factors of w?\nAnswer: 2, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -197, -283, -351, -395, -409, -387, -323?\n\"Answer: h**3 - 105*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6556 + 14977. What are the prime factors of g?\nAnswer: 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (1 - 2) - 2) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28124.014 + -28147. Let a = f + -0.014. Let r = -3.5 + 3.4. Is a equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167.43 rounded to the nearest 10?\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1319 - 211*o**2 + 1319)*(-o**3 + 6*o**3 - o**3).\nAnswer: -844*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.276765 + 84.276694. Let c = 48 - v. What is c rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 - 219. Factor -1\/4*f + 1\/4*f**3 + 0*f**2 + k.\nAnswer: f*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 + 143. Let s = t - -228. Suppose 29 = b + d + 2*d, -4*b + s = d. What is the least common multiple of b and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2417624*w**2 + 3018*w**3 - 2417624*w**2)*(0 + 2 - 4 + (-2 + 1 + 0)*(3 + 4 - 5)) as h*w + j + s*w**3 + c*w**2 and give s.\nAnswer: -12072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -7 in decreasing order.\nAnswer: -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -29.7. Let y = 9373\/30 + -4679\/15. Sort y, u, -1\/6, 1 in increasing order.\nAnswer: u, -1\/6, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 14735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2. Let c(q) = 4863*q**2. Determine c(t(x)).\nAnswer: 4863*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:57 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -276423506.\nAnswer: 829270518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*4\/(-18))\/((-2)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -16*k. Suppose h + 4 = 5*h. Sort k, -3, h in decreasing order.\nAnswer: h, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2707, 105 in ascending order.\nAnswer: -4, 105, 2707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.175, 0.002, -4 in decreasing order.\nAnswer: 0.002, -1.175, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:30 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {q: 4, f: 2, d: 1, g: 1, o: 3, a: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/24 - 5*p**5\/12 + 35*p**4\/12 - 68*p**2. Factor i(d).\nAnswer: -5*d*(d - 2)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65a9c6 (base 16) to base 3.\nAnswer: -110112111100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25937 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 22 + 83 - 13*f + 13 as t + i*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-4*sqrt(66)\/sqrt(2))\/sqrt(3))**2*-1 - (sqrt(1408) - (sqrt(1408)*1 + sqrt(1408)))\/(-1*sqrt(98))).\nAnswer: -177 - 8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 130 = 2*f, 3*f - 2*f = 4*p + 50. Let k be 4\/(-10) - (-3163)\/45. Let a = k - f. Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rridrwrddrrrrirdrrr. What is prob of sequence drdd?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 3*d + 635*d**3 + 662*d**3 - 1276*d**3.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1140*a**5\/7 - 11607*a**4 + 3135*a**3 - 426*a**2\/7 = 0. What is a?\nAnswer: 0, 2\/95, 1\/4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4 + 28*z**3\/3 + 42*z**2 - 108*z - 2026. Solve b(p) = 0 for p.\nAnswer: -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 y when four letters picked without replacement from jjyyyyj?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76444.04l in millilitres?\nAnswer: 76444040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z - 1. Let v(s) = 7*s**2 + 91*s + 407. Let h(r) = -2*o(r) - v(r). Let a(t) = t. Let g(x) = 3*a(x) + h(x). Factor g(c).\nAnswer: -5*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -184.3404 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 16. Let m be l(10). Let z(f) = f**3 + 4*f**2 - 2*f - 4. Let s be z(-4). List the prime factors of m + (s - 1) + 2 + 13.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 21*b**2 - 10*b + 10. What is n(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 7619.\nAnswer: 45714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y. Suppose 0 = 2*m + 2*s, -2*m + 0*m + 5*s = y. Suppose m*a - 4*a = -40. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30764 is divided by 2295.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(-5)\/(-20)*-4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143004?\nAnswer: 2, 3, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*h**5 - 5052*h**4 + 234*h + 5055*h**4 - 363*h**2 - 44*h**5 + 3 wrt h.\nAnswer: -40*h**3 + 36*h**2 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:45 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31a - -262a3?\nAnswer: 26601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-12) + 234\/351. Let v(d) be the first derivative of -d**3 + 0*d + m*d**4 - 9 + 3\/5*d**5 - 3\/2*d**2. Let v(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4265, -15768, -34485, -60422, -93585?\nAnswer: -133980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 106 (b) 0.3 (c) 2\/3 (d) 0 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*k + 5137*k = -8468*k - 1123021 - 181253 for k.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 25 = -9*n - 3*k, 7761*n - 4*k = 7781*n + 52 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 78*a. Let f(w) = w**2 - 6*w - 3. Let p(y) = 4*y**2 - 22*y - 11. Let r(g) = -22*f(g) + 6*p(g). Give h(r(u)).\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 50*d + 239031 = 7191. What is the remainder when d is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258 (base 12) in base 8?\nAnswer: -4044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) -3 (c) 0.15 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = -4*g, -g = 4*f - 15. Let b = 19 - g. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (491*f**4 - 589*f**2 + 589*f**2)*(0*f + 2*f + f).\nAnswer: 1473*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751, -1572, -2391, -3208, -4023?\nAnswer: -4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806 is divided by 255.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -3*a + 5*t + 244, -2*t = 6. Calculate the lowest common multiple of 345 and a.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/344 and -33\/2752.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 + 933?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*p**4 - 617529*p**3 + 37742*p**2 - 7*p wrt p.\nAnswer: 264*p - 3705174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 + (-8 + (-10 - -3) - (90 + 9)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouokkoouokkkokkso. Give prob of picking 1 k, 1 s, and 1 u.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from wdvldvddjdqqddqjq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -66 - (-43 + (17 - 16))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*-1)\/(-1*sqrt(810)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 228. Is 2\/159 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 14. Find the common denominator of r and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50638996.\nAnswer: 2, 31, 408379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2849\/4620 + (11\/(-4) - -2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:35 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 + 418. Let d = 186 - t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 12. Let u be n(-10). Suppose 3*k - 30 = 2*x, x - 30 = -u*k - 3. Solve -4*p + k = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -2263.\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.63 + 2.63. Let f be (-12)\/15*(-2)\/(-8). What is the fourth smallest value in 0.01, f, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24144505 divided by -55.\nAnswer: -438991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r - 96*r - 29 = 5*o, -2*r = -o - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1798, 1\/52, -1.4?\nAnswer: -1798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -2, -1\/10, 2\/13 in increasing order.\nAnswer: -2, -1\/10, 0.14, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 + 2*b**4)*(243 - 243 + 29*b + (-3*b + 2*b + 0*b)*(3 - 2 + 1))*(3 - 3 - 1 + 4 - 2 + 0 + (1 - 9 + 1)*(-3 + 3 - 1)).\nAnswer: 432*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 33, 73, 139, 237, 373, 553, 783?\n\"Answer: r**3 + 4*r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from jtnctjbtfff?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/7))\/y*y\/(y*y**(2\/5)))\/((y*y**(2\/5)\/y)\/y**2))**(-5\/4) assuming y is positive.\nAnswer: y**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6340804 meters?\nAnswer: 0.0006340804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1857 + 1861. Solve -7*x = -3*q - 2*x - 5, 0 = -y*x + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffffpfppfpffppppfpf. What is prob of picking 1 f and 3 p?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 323201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*y + 4*y, -2*y = 5*l - 159. Let i be 1\/(-4) + l\/(-12). What is the closest to 0 in i, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -398 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -58157?\nAnswer: -58157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28902463039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 - 1. Let b(n) = -4*n**3 + 8*n**2 - 8. Let c be 1*3\/18 + 175\/30. Suppose 0 = c*f + 9*f + 120. What is f*l(d) + b(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnlnnnn. Give prob of sequence nl.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402.13024 + -402. Let t = x - 0.1043. Round t to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(28)*3).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 103*r**2 - 167*r - 5954. Calculate u(-52).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8024 + -8022. Solve -y*g = 8*g + 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 - 7*c - 6. Let m be p(-4). Suppose b + 1 = 2*t - m*t, t = -3*b + 30. Suppose 2*r = b + 1. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31a1 (base 14) to base 2\nAnswer: 10000101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.061, 1\/2, -49.5, 2\/5, 0.2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 9 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -175352*j - 3. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 16*d + 36 = 0. Suppose -3*a + 5528 = -550. Suppose -2*p = d, 239 = -3*f + 4*p + a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 1)*(69 - 69 + 9*u)*(7 + 18 - 6) to k + v*u and give v.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*l**2*p - 86*b**2*l - b**2*p + 2*b**2 - b*l**2 - 2*b wrt l.\nAnswer: 2*b**2*l*p - 86*b**2 - 2*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-164)\/(-41)*1\/2. Let j(v) = 16 + 9*v**2 + v**3 - 13*v**s - v - v - 21. Suppose -7*l = -3*l - 16. Determine j(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*c - 44, 8*q = 3*c - 2*q - 76. Put -2, c, 2, 1 in ascending order.\nAnswer: -2, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/30 and -121\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 9 - 14*p + 28*p. What is the remainder when q(5) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 6 - 6*c**3 - 2*c**2 + 2 to w + a*c**2 + u*c + f*c**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 1. Let t(l) = -l**3 - 6*l**2 - 7*l - 10. Let x be t(f). Solve 2*p - 6 = -x*p, 5*k - p = 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-2)*j)\/j)\/(j**(-13)\/j))\/(j\/j**(-2\/5)*j*j**(-5\/8)) assuming j is positive.\nAnswer: j**(649\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 + 6*o - 5. Suppose 7*c - c = 30. Let i be y(c). Are -65 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 3*x + 3. Let p be c(3). Suppose 5*l + 17*z + 5 = p*z, -3*l + 25 = -4*z. Solve 5*j = -f + 7 + 16, l = -3*j + 5*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3389 - 3440 = 3*d, -3*i + d = -49. Suppose -3*n - n = -32. What is the greatest common factor of i and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 6114.\nAnswer: 24456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*i - 11, 0 = -3*r + 7*r - 4. Suppose m - 2*m = -i. Solve 0 = 2*u - m*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 + 68*q**4 - 352*q**3 + 576*q**2.\nAnswer: -4*q**2*(q - 9)*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 7. Let n(r) = -r + 7. Let u(k) = -4*n(k) - 5*x(k). What is the units digit of u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/483 and 113\/28.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:55 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 39*s**2 + 14*s - 6. Let r be d(-3). Suppose -68 = -r*h + 302*h. What is the smallest common multiple of h and 22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*q**3 - 4*q**3 + 8*q**3)*((-2*q - 6*q + 5*q)*(-4*q - 2 + 2) + 2*q**2 + 0 + 0).\nAnswer: -294*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9823 and 152703.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**5 + 0*u + 0 + 0*u**3 + 2\/15*u**6 + 5\/12*u**4 + 3*u**2. What is the second derivative of t(r) wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*x - 827*x + 112360 = 415*x + 1839*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooodoxdzoodo. Give prob of picking 1 o and 1 d.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, -9, -3, 4.\nAnswer: -9, -3, -0.29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v + 3, 2*i + 4*v = 390. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(3*t**5 - 6*t**5 + 0*t**5) - t - 5*t**5 - 4*t + 3*t.\nAnswer: -11*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-45))\/(26*12\/780)*9\/102.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 165*y - 4. Determine s(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b**2 + 12*b**2 - 6*b**2)*(78*b**2 + 320*b**2 - 21*b**2 - 4*b**2).\nAnswer: 7833*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80533, -161563, -243081, -325087, -407581, -490563?\n\"Answer: -244*a**2 - 80298*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f. Suppose -h - h - 150 = -4*j, f = 3*j - 5*h - 123. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c*f**3 - 21*c*f**2 + 30*c + 44*f**3 wrt f?\nAnswer: 30*c + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -7, -28, -69, -136, -235?\n\"Answer: -l**3 - l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 89. Let t = -13\/59 + 51\/767. Which is the closest to 2\/37? (a) 0.2 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.892 + 59. Let r = 19815406 + -19815405.891999412. Let q = p - r. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/4 (c) -17\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -1\/12*f**4 + 41*f**2 + 0 + 0*f**3 + 0*f. Let m(h) = -83*h. What is o(m(d))?\nAnswer: 166*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 - -0.03. Sort 5, h, -1\/2 in descending order.\nAnswer: 5, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 - 4. Let r be u(-3). Let i(o) = -r*o**2 + 4*o**2 - o + o. Let z(w) be the third derivative of 2*w**5\/15 - 248*w**2. Give 5*i(k) + z(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - d + 7 - 42 + 9.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 = m - 0, -5*x - 3*m = -29. Suppose 0 = x*i - 4*f - 12, -4*i - 2*f + f = -7. Let d be (-8)\/28 + (-30)\/(-7). Solve i*g = -2*g + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21253551 (base 6) to base 3.\nAnswer: 1011222101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -25*d - 2. What are the prime factors of b(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*g - 50 = -3*u, -3*g = -2*u + 25. Suppose -5*y = -5*a + 10, u*a + y = -16 + 38. Solve -5*f = -5*o, -a*f + f = 4*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27360 and 6080?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5.9. Let a = -1052911.66 - -1052912.76000002. Let j = s + a. Round j to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 19720.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 22*g = -9*g + 175 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-24))\/(4\/(-6)). Suppose f*z + 40 = 7*z. Solve 2 + z = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483593618?\nAnswer: 2, 3, 13, 19020431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*-4*-11. Is w\/(-55) + 2054\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3011710 and 3250?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 - 8*t + 8. Let h be s(3). Solve h*x + 5 = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = -84*i - 34*i + 5249. Solve i = -17*r - 56 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -1.97. Suppose -9 = -b + 3*c, 2*b - 2*c = -b + 6. Let w be (-1 - b) + 7\/4. Put 1\/2, v, w in descending order.\nAnswer: w, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -4*d, 8 = 3*d - 0*b - b. Let a be (-330)\/(-21) - (-2)\/7. Suppose -2*s = -a*s + 2*s. Solve -r - d + 6 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701, 5399, 8097, 10795, 13493, 16191?\nAnswer: 18889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 5*b - 10*s - 22, -2*b = -4*s - 20. Suppose b*k = 4*q + 12, 4*k - q - q = 0. What is the biggest value in k, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-6)\/(-4))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 139653?\nAnswer: 139653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5482723*a**2*p - 1630540*a**2 wrt p?\nAnswer: -5482723*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -463 in 4, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 18) + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3540)\/4602*26\/(-36)*2\/(-5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/3 or 0?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -15*j - 35. Let l be ((-50)\/(-20) - 2)*(-1 - j). Solve -1 = 3*b + l*h, 2*b + 3*h = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 14*q**2 - 15*q. Suppose 0 = -2*x + x - u + 7, -2*x - u = -11. Let s(m) = -41*m + 149. Let p be s(x). Calculate r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -3*p - n, -4*n + 8 = 4*p. Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 + 482 - 243 - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l - 66. Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 13005*v**5 - 80733*v**4\/5 - 30041*v**3\/5 + 42249*v**2\/5 + 3432*v\/5 + 68\/5 = 0.\nAnswer: -17\/25, -2\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -22) + -3 + (4 - -2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/90*w**5 + 0*w**3 - 1\/189*w**7 + 0*w**2 + 2\/135*w**6 + 0 + 0*w**4 + 8*w. Determine n so that g(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 330, 439, 516, 561, 574?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -1, 1494, 5, 3 in increasing order.\nAnswer: -172, -1, 3, 5, 1494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 y when four letters picked without replacement from {m: 4, i: 2, y: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*w**3 - 74*w**3 + 0*w - 4*w**3 + 319*w**3 + 0*w.\nAnswer: 122*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/((-1152)\/(-64)))\/(((-4)\/(-1))\/476)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 28*h**2 + 201*h + 1. Give q(-15).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11052190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(-1)*((-179355)\/(-1155) - 156)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/210 + k**4\/21 - k**3\/7 - 2*k**2 + 10*k. Factor y(q).\nAnswer: -2*(q - 3)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**5\/20 + x**4\/6 + 2*x - 1. Let q(m) be the first derivative of c(m). Find the third derivative of q(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*p - 634*p - 637*p + 3080*p - 537*p - 639*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 - 134. Suppose 9*h = z*h - 262. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 614 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 - 2. Let s(g) = 47*g**3 + 2*g**2 + g - 41. Let f(q) = -2*j(q) + s(q). Differentiate f(c) with respect to c.\nAnswer: 147*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8*52\/(-3744))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -2*l. Suppose -l*i + 1 = -11. Solve -3*u - b - 9 = 0, 0 = i*b + 15 - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-65)\/25. Suppose h*b = b + 30. Suppose 4*j - j - b = 0. Solve 2*z = -3 + 13, -j*q - 20 = -4*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.4. Let k = z - -0.48. Let d = -2.92 - k. Put d, -2\/3, -1\/7 in decreasing order.\nAnswer: -1\/7, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c = -5, 102*y + c = 104*y - 1. Put 20, -1, -4, -3, y in descending order.\nAnswer: 20, y, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -65. Let z(m) = m**3 - 2*m**2 - m + 2. Let b be z(3). Let i = b + -13. Put -0.5, i, f in descending order.\nAnswer: -0.5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24645726 divided by 126\nAnswer: 195601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -114703 from -118.\nAnswer: 114585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141954*k**4 - 3*k - 1549265?\nAnswer: -567816*k**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -331\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:52 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 15597*u - 109032.\nAnswer: -3*(u - 5192)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/12 + 2*r**3 + 68*r**2. Let d be z(5). Which is the closest to -1\/2? (a) 1\/4 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 5*a**2 - 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(2\/(-40)). Suppose 2*g + 0*g + 24 = 4*m, -m - 3 = g. Let p = g + j. Solve -p*t + 16 = i, 0*t - 3*t + 5*i = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (0 + 3 + 0). Suppose 20 = 5*p, 5*p + 24 - 215 = -f*t. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by -6\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50112 and 292?\nAnswer: 3658176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - (1 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - q = -6*q - 28, -3*x = 4*q - 10. Is ((-5878)\/x)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 = -870*r - 24782 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - (5 + 1 + 3) - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237786 and 5469078?\nAnswer: 5469078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198.33 + 540.49. Round a to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1095\nAnswer: -5475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40874?\nAnswer: 2, 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9*1\/(-9))\/((-3)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**4*p))\/p*p**(-5)*p)**(-47)\/((p*p**(-1\/4))**(1\/89))**26 assuming p is positive.\nAnswer: p**(66889\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1892*p + 794723. Calculate z(-420).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 27*d**2 - 25*d + 2. Is v(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -8. Let p = s + 1. Calculate the remainder when 36 is divided by 0 - (0 + (p - 3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-204 - 16*t + 204)*(0*t - 4*t + 2*t) in the form a + q*t**2 + z*t and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 245133188 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 28 = 7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140001 - 3053?\nAnswer: -143054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 6. Let l(g) = 6*g + 24. Let v(t) = -12*h(t) - 3*l(t). Let r(f) = -4*f**2 - 6*f. Calculate r(v(x)).\nAnswer: -144*x**2 + 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5012900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + 0) + (-1 + sqrt(468) - sqrt(468)) + -1)**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 155*d**2 + 8297*d + 653247. What is o(-78)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2. Let m(z) = 1531*z**2 - 727*z**2 - 97*z**2. What is y(m(o))?\nAnswer: -1499547*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 1549*s - 35 - 84 + 1545*s to y*s + f and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (873\/(-6))\/3 + (-3)\/6. Let t = -49 - k. Suppose t = z + 4*d + 11, -4*d = 3*z - 0*z + 17. Put 4, z, -5 in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 72*p = -9*q + 67*p + 20, 12*q - 12*q = 2*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 111939\nAnswer: -3\/37313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 - a**2 - a - 8. Suppose 1 = 11*d - 10*d, 0 = -o - 5*d - 4. Let n(t) = -4*t**3 + 9*t + 4. Calculate o*u(r) - 2*n(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1584) - (sqrt(1584)*-2 + -1))*1)**2 - (-6*sqrt(66)*-3)\/(sqrt(6) - sqrt(96)*-3).\nAnswer: 8406*sqrt(11)\/13 + 128313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 6 + 1\/32*o**4 + 0*o + 1\/12*o**3 + 1\/16*o**2. Suppose r(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/4))\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19 - -4)*(-5)\/15. Suppose 4*u = -5*v + 8*v - 406, 0 = x*v - 3*u - 673. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.08 - 3. Let w be (2\/(-56) - 0) + 12*(-23)\/1104. Which is the second biggest value? (a) -2\/5 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.7 + 0.7. Let v = j - -78.38. Round v to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 3539.6 + -3540. Which is the third biggest value? (a) 9 (b) -7\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44384, -44403, -44434, -44483, -44556, -44659, -44798?\nAnswer: -44979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -3, 2842, -2, -4, 0, -29 in decreasing order.\nAnswer: 2842, 0, -2, -3, -4, -29, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.55, 5, 1 in descending order.\nAnswer: 5, 1, -4.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 11) in base 10?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 21130*u**2 + 42254*u - 21126 = 0. What is u?\nAnswer: 1, 10563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220131405.\nAnswer: 5, 17, 26119193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 17*f = 224. Let x(j) = 2*j**3 - 4*j - 2. Let s be x(3). What is the greatest common divisor of f and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 86. Let v be (150\/p)\/(9\/(-15)). Suppose 15 = j + t - v, 728 = 5*j - 2*t. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, 0.5, 7, 1287\/50, 0.21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 260000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4310240 + 2?\nAnswer: -4310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-75)*(-5)\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 212*m - 228. Let h(d) = 3*d**2 + 105*d - 114. Let o(a) = 6*f(a) - 11*h(a). Find u such that o(u) = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 3. Let d be f(-10). Sort 4, -2, d in descending order.\nAnswer: d, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8048*k**2 - 20 + 651*k**2 + 8 + 878*k**2 + 11 + 6326*k wrt k?\nAnswer: -13038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/15)\/3)\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 15 = 0. Suppose 20 = -m*f, 0 = -5*p - 5*f + 7 - 27. Solve d + 3*n - 4 - 6 = p, -5 = -4*d - 5*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5394 is divided by 480?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -179210 divided by 1?\nAnswer: -179210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 25696*c - 25692 = 0. Calculate c.\nAnswer: 1, 6423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 5 (c) -6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 50*y**2. Let u(z) = -5*z + 5. Let o(k) = -7*k + 8. Let t(h) = -5*o(h) + 8*u(h). Calculate t(b(c)).\nAnswer: -250*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4397051564 + 2.8?\nAnswer: 2.3602948436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s**(-2\/71)*s)\/s*s))\/s))\/s)\/s*s**(-12) assuming s is positive.\nAnswer: s**(-854\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 55 = 0. Suppose -m = 2*r + 2*m + 2, r - 3*m + 10 = 0. What is the remainder when -86*(r\/(-26) - 34\/52) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5097313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - 4, 2*x + t = 10. Suppose d - 18 = -m, d = x*m - 2*m - 62. What is the smallest common multiple of m and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2190678057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x - 60. Let c = 275 + -271. Calculate the remainder when 41 is divided by i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6073\/5 = -1216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Let h be 4 + -2 + v + 2. Suppose -2*m = 2*g - 71 - 63, -2*g + h*m + 122 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b - 1. Give c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 30, 55, 70, 63, 22, -65, -210?\n\"Answer: -2*p**3 + 13*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:42 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-42)\/224)\/((-1)\/12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 80*v**2 - 78*v + 235. Give h(-81).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*2*sqrt(70)*-5)\/(-4*sqrt(1000)*5).\nAnswer: -4 - 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:46 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let h = -11.9 - -11. Let g = 0.4 + h. Which is the third smallest value? (a) g (b) q (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 63. Let t be b(5). Let j be (1\/(-4))\/((-2)\/60)*t. Solve 0*w - 11 = -3*w + 2*s, -5*s - j = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*s**2 + 0*s + 26*s**2 + 8*s**2 + 0*s.\nAnswer: 25*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 40.72. Let n = -172.1 - -165.1. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1359, -1, -5305 in descending order.\nAnswer: 1359, -1, -5305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5159 (base 11) to base 9.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78974151 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = 2*w + 39, -3*w + 45 = -4*t. Let h be 4\/(15\/t - -3). Suppose 29*u - 159 = -14. Solve 0*v = -u*v + h*p - 7, 5*p - 1 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-3 - -2)) + 71. Let b(k) = -3*k - 3. Let z be b(16). Let x = n + z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - 175890269*r**3 + 175890268*r**3 + 0 - 2*r. Let p(u) be the third derivative of u**6\/120 + u**4\/8 - u**3\/3 + u**2. Give -4*o(s) - 3*p(s).\nAnswer: s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 653 and 136604?\nAnswer: 89202412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*f + 8 = 0, 6 = -0*w + 2*w - f. Solve d + 5 = 3*s, w*s + d = s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2583, 10376, 23321, 41382, 64523, 92708, 125901?\n\"Answer: -6*o**3 + 2612*o**2 - o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -11*q + 105. Let v(b) = -b. Let m be v(q). Let d be (37\/m - -4) + -1. Do d and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33327*g - 16647*g - 15273*g)*(2*g**4 + g**4 - g**4).\nAnswer: 2814*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*x - 2*x**2 + 8*x)*(1 - 4 + 0)*(-x + 0 + 0) to the form v*x**3 + o*x + f*x**2 + i and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15) - 78\/(-1287).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 2*z**3 + 11138*z**2 + z + 4802992.\nAnswer: 4*z**3 - 6*z**2 + 22276*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 94*i - 45. Let a be u(24). Solve -c = -a*r - 8 + 24, -24 = 5*c - r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 7 = -2*n, 0 = -5*i + 3*n + 12. Let x be (3\/(-1))\/3 + i. Solve 3*z - 12 = 0, 0 = -5*t - x*z + 2 + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db1 + 4?\nAnswer: -dac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2*h**2 + 6*h - h - 31 + h - 49 as x + b*h**2 + q*h + j*h**3 and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2*c - 53. Let b be j(-9). Is -1 - (b + -3 + -83) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13380026 is divided by 781?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*m**4 - 10*m + 56*m**4 - 90*m**4 wrt m?\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**2*g**2*m + 2*c**2*g**2 - 20726*c**2*m + 3*c*g**2*m - 2*c*g**2 + 353498*c*g*m - 2*g*m wrt c.\nAnswer: -24*g**2*m + 4*g**2 - 41452*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52486, 52518, 52568, 52636, 52722?\nAnswer: 52826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/220731 and 74\/1725.\nAnswer: 5518275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*2\/(3 + 1). Let f = -183 - -1645\/9. Which is the nearest to -1\/6? (a) 1\/9 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w - 6. Let f(x) = -8*x + 7. Calculate 7*a(t) + 6*f(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2706 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*r**3 + 184145*r**2 - 494 - 184145*r**2.\nAnswer: -95*r**3 - 494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79772 by 11396.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 188\/470*(3\/(-9))\/(9\/(-2025))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.5 + 0.09.\nAnswer: -110.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3 and 41\/200456?\nAnswer: 601368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 24 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1428\/510)\/((-2)\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(0 - 8). Which is the closest to m? (a) -2\/3 (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*o + 45*o**3 + 135*o)*(-2*o - 2 + 2) + 5*o**4 - 9*o**4 - 7*o**4 + (2*o**4 - 3*o**4 + 2*o**4)*(3 + 1 + 0).\nAnswer: -97*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (8 + -17)) + 3 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) 4\/5 (b) -3 (c) -1603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16852 (base 12) to base 2\nAnswer: -111111000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2345*l**3 - l**2 - 8452?\nAnswer: 7035*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((3*sqrt(95)*-1)\/sqrt(5) - ((sqrt(1539) - (-2 + sqrt(1539))) + 3)) + 0)**2.\nAnswer: 1080*sqrt(19) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 3\/5, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.185 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -35 - 37. Let u = l - 40. Let i(o) = 2*o - 4. What is i(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let k(j) = 260*j. Let p(m) = -104786*m. Let q(x) = 1210*k(x) + 3*p(x). Calculate q(y(d)).\nAnswer: -484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*(t*t**(1\/2))\/t)\/(t**0)**(-24\/5) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + h. Let w be k(3). Suppose 0*a - w*f = -a + 11, -2*a = -f - 17. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240) - sqrt(60)) + sqrt(60))\/sqrt(4))\/((sqrt(24)*-1)\/sqrt(8)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2. Let q(c) be the second derivative of -34*c**3\/3 + 492*c. Give q(n(x)).\nAnswer: 476*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + -4 + (-77)\/7*4553636. Round l to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 12) + -12 + 24 - -43?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/12 - 3*g**4\/8 + g**3\/6 + g**2. Let n be (2 + -3)*0 - 0\/(-5) - 11. Let k(c) = -c**2 + 2*c. Give n*k(h) - 2*d(h).\nAnswer: h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 9.454.\nAnswer: -14.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + j + 5*j)*(0 - 3 + 1)*(4*j - 1 + 1)*(-36 - 29 + 67) to m*j**2 + u*j + g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -1006, -2355 in increasing order.\nAnswer: -2355, -1006, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b - -4?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**3 - 1\/24*u**4 - 3*u - 3\/2*u**2 + 0. Let i(h) be the first derivative of w(h). Let m(r) = -6*r. Give i(m(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -111. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + -3 + 3 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1658, 2110, 2494, 2780, 2938, 2938, 2750, 2344?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 610154370 divided by -5\nAnswer: -122030874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9383 and 7913281.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*i - 3*j + 53 = 0, 4*i + 4*j - 31 = 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.09, 4\/9, 2, 0, 0.008?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301667 - 301664. Let d(b) be the first derivative of -2*b**3\/3 + 7*b**2\/2 - b + 1. Calculate d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 5 (c) -18 (d) 11 (e) -3 (f) -0.4 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35281, -35279, -35275, -35269, -35261, -35251?\n\"Answer: a**2 - a - 35281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:24 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let a(t) = 5*t + 5. Let i be a(-2). Let n be o(i). Put -3, n, -5 in ascending order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -223?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-76.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458385718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163213*l**5 - 67*l**4 + 89*l**2 - 32757*l + 6 wrt l.\nAnswer: -9792780*l**2 - 1608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9659 - 13294?\nAnswer: -20931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -141. Suppose 0*f = -3*f - 5*n + z, -f = 4*n - 35. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8596 divided by -23\nAnswer: -8596\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2204407*q*y - 5*q - 90372*y + 85 wrt q.\nAnswer: 2204407*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -1\/2 (c) -4 (d) 2 (e) 620\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)*y*(y\/(((y\/y**(-24))\/y)\/y)*y)\/y*((y\/((y*y**9)\/y)*y)\/y)\/((y\/((y*y**(-47))\/y))\/y) assuming y is positive.\nAnswer: y**(-682\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 504083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 15*n + 90. Sort 1, n, -3 in ascending order.\nAnswer: n, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 34, -0.4, 4, -2\/3, -5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/1 - 8)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11278 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 3. Calculate k(-16).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28094*c**3 - 84280*c**3 + 28103*c**3 + 28086*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 100100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5874197 - 0.11424.\nAnswer: 5874196.88576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(2\/85)*x)*(x\/x**24*x)\/x*(x**(1\/7))**(3\/29))**(-37) assuming x is positive.\nAnswer: x**(15328027\/17255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 18. Let j = 9 + u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 6*y**2 + 5*y - 4. Let h(d) = -2*d**3 + 12*d**2 - 11*d + 9. Let b(w) = -3*h(w) - 7*p(w). What is the lowest common multiple of b(5) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -455 and -28320.\nAnswer: -28775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 + 185*y - 1900. Determine s(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:13 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 28052, -2, -528 in descending order.\nAnswer: 28052, 5, 2, -2, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**6\/288 + s**5\/40 - s**4\/24 - s**3\/3 - 5. Let i(n) be the third derivative of x(n). Factor i(c).\nAnswer: -(c - 2)*(5*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 - 44 - (14 + -7 - (19 - 9))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 7*z**2 - 4*z**2 - 4 - 14*z + 12*z**3 + 8*z**2 - z**3 to the form g*z + a*z**3 + w + t*z**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -55*j + 53*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*8*(-369)\/(-12136)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from {o: 1, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.352588 micrometers in millimeters?\nAnswer: 0.006352588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b*l**2 - 305*b*l - 38*b wrt l?\nAnswer: -8*b*l - 305*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4070980554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b + 5*b - 15*b + 55*b + 30*b.\nAnswer: 123*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2479, 9933, 22357, 39751, 62115?\nAnswer: 89449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*g**3 - 72*g**3 + 42 - 14 - 32*g + 11*g**2.\nAnswer: -(g - 7)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4\/5 - 231302*b**3\/5 + 161928*b**2 + 1966166*b\/5 - 231316 = 0. What is b?\nAnswer: -57829, -2, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -251 - ((-11 - -52) + -144).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x - 29 = -1121 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -64*o + 1477. Let q be d(23). Solve w - 17 = -3*u - 29, q*w + 2*u = -21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-2)\/(-2 - -10). Let j(y) = 2*y. Let s(p) = 2*p. Let b(k) = a*j(k) - 2*s(k). Let w(h) = 2*h**2. Give b(w(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*r + 1 = -12, -3*r = f + 11. Is 2\/9 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13127798 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(935\/(-102)) + -14 - ((-99)\/55 - -3).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 + 177 - 142)*(4 + 1 - 6)*(-4*s**3 - s**3 + 7*s**3).\nAnswer: 294*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15975?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11381018?\nAnswer: 2, 11, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idkfklf. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {r: 1, g: 3, f: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let u be 12*(-14 - (-135)\/9). Let x be (u\/8)\/(w + -4). What is the closest to -2\/7 in 0.2, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/9, 4\/85, 0.3, 0, 0.04, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*a + 4*a - 35*a + 2 - 23*a to the form i + c*a and give c.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1520 - -1517. Let v = -0.53 + 0.21. What is the biggest value in c, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a3c6b - 72?\nAnswer: 2a3be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2349503, -2349504, -2349505?\nAnswer: -2349506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2855, 3350, 3849, 4352?\n\"Answer: 2*j**2 + 489*j + 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {x: 3, a: 6, y: 4, q: 6}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.18, -1, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -24*n**2 + 7*n - 4. Let v be ((-54)\/(-24))\/((-153)\/(-136)). Give r(v).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1414, 2879, 4346, 5815, 7286, 8759, 10234?\nAnswer: 11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 257073?\nAnswer: 257074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 - 90*h**2 - 648*h = 0. What is h?\nAnswer: -36, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11*c**2 - 13*c + 11. Suppose 20 = 24*k - 22*k. Give s(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 17*d**2 + 937*d - 42. Calculate h(-40).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((44\/(-33))\/(24\/9))\/(-1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -4 - (10 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/3 + (1 + 3 - 4). Let k(v) = 16*v + 14*v - 6 - 4 - 4. Is 17 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 + n**5\/6 + 7*n**4\/24 - n**3\/6 + 35*n**2. Let l be h(-9). Solve 4*c + 5 - l = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1 + 1 + 0 + 14*v + 1. Let b be q(3). Let x = b + -33. Calculate the highest common factor of x and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16473 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 - 16334?\nAnswer: -16232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30646171 and -65\/1192.\nAnswer: 245169368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 + 1059\/5. What is the biggest value in -0.1, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*c - 2*c - 2*c**3 - 12 - 5*c - 5*c**4 to p*c + i*c**3 + d + b*c**4 + z*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l = l + 468 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 19*d**2 - 107. Let o(j) = 23*j**2 + j - 108. Calculate -5*o(i) + 6*p(i).\nAnswer: -i**2 - 5*i - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -88946305 >= -88946302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1365 - -1.1365. Which is the closest to 0.2? (a) 2\/5 (b) n (c) -0.2 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/8 + 183*c**4\/8 - 1383*c**3\/8 + 3021*c**2\/8 - 330*c + 102 = 0. What is c?\nAnswer: -68, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12 = g, -i - g + 12 = -2*g. Let j = -18 - i. List the prime factors of 5 + j*9\/(-1).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 20*v**3\/3 + v**2\/2 - 2. Let n be h(-1). Let f = n + -12. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/4 or -1\/11?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i + 2. Give f(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154106 + -1177106. Round b to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2 - 4 - 6 - z - 3. What is v(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4651, -9330, -14009, -18688, -23367?\nAnswer: -28046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2040*r + 2028*r + 372 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1764396 divided by -34\nAnswer: -51894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + ((-111 - -19) + -9 - (4 + -19 + 2))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 11*a**2 - 7*a - 4. Let u be m(-15). Suppose -2*i = -5*t - u, -2*t = -4*i + t + 2009. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:12 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k\/(k*k*k**27\/k*k*k))*k*k)**(4\/7)\/(k**(-10\/3)*k)**(-7\/9) assuming k is positive.\nAnswer: k**(491\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21982, 87831, 197550, 351139, 548598, 789927?\nAnswer: 1075126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6) + (-174)\/36 + 5. Let d = -61 - -63. Solve -a + d*h = 0, n = -2*a + 6*a - 4*h - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*s = q - 146, -373*q + 208*q + 3*s = -12876 for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -289\/2*w**4 + 0 + 2*w - 36*w**2 + 357\/2*w**3 = 0. Calculate w.\nAnswer: 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-104)\/(-72) + (-12)\/27)*2. Solve -i = -5*y + 6 + 1, 8 = -s*y + 4*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 6*k + k)*(53*k - 144*k + 75*k).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4403123 (base 5) to base 11.\nAnswer: -51728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376141627 is divided by 1748?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cc + 2?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 187.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2644327, -5288667, -7933007, -10577347, -13221687?\n\"Answer: -2644340*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 459, 5, 4 in ascending order.\nAnswer: 3, 4, 5, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (32 - ((-13 - -39) + -15))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 25 - 6057*d**2 + 12105*d**2 - 6050*d**2 as m + c*d**2 + f*d and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 20*v)*(-3416 + 88*v + 3416)*(-3*v - v + 2*v).\nAnswer: 3520*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -7330468?\nAnswer: 47\/7330468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) 4 (c) 4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 142 = 58. Let t be 2014\/16 + 5\/l. Let c = -124 + t. Solve 0 = c*y - p - 7, 4*p + 3 = 2*y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108385 is divided by 21545?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-9 + 6)\/6). What is the remainder when ((-6)\/u)\/(4\/(-48)) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (6 - 10) + -1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) + (127\/21 - 5).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9412 is divided by 279.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -15*i - 10, 4*f - 5*i + 42 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/2 + 5695*i\/2 + 2847 = 0.\nAnswer: -5694, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let r(c) = -6 + 9*c - 8*c - s*c. Give r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -42, -77, -132, -213, -326, -477?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -36. What is the remainder when (66\/10 - -1)\/(w\/(-50)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 257*l**2 - 175*l - 241. Is a(131) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 21*i**2 + 153*i - 3221. Determine o(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfmlglwi. Give prob of sequence flig.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9155*x - 4574*x - 4582*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1836.\nAnswer: -11016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + 1 - (sqrt(275) + (0 + sqrt(275))*4)**2)*-3.\nAnswer: -15*sqrt(11) + 20616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-2 + 5 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8127 + 78*r - 8127 + (r + 3*r - 6*r)*(-17 + 8 + 6))*(-1 - r + 1) to the form q + f*r**2 + c*r and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3760 and 8380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/5, -4, 1\/2, 0, -0.5 in ascending order.\nAnswer: -4, -0.5, 0, 1\/2, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 27 (b) -398 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l + 22*l**3 + 10*l**3 - 13*l**3 - 3*l.\nAnswer: 19*l**3 - 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*((-540)\/(-16) + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = 2*h, 3*w + w - h = 9. Solve -2*m - 4 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/6*(-159)\/424\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26484*f**2 - 18713*f**2 + 56533*f**2 + 44923*f**2.\nAnswer: 109227*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-4)\/(-3). Let u(a) = 29*a + 1687. Let x be u(-58). Solve 3 = n*k - x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1692 - -65. Suppose -3*s - 2*g = 2*g - j, 0 = 3*s - g - 1762. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 278*h**2 + 425*h + 179. Is o(130) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/84 - l**4\/24 + l**2. What is the second derivative of d(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271568361 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u + 1. Let t be v(-6). Let n = 101393 - 101390. Which is the biggest value? (a) t (b) n (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83583\/19 + 4399. Let q = 0.1 + -0.1. Which is the nearest to -1? (a) q (b) -1\/16 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 10:44 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**2. Let s(j) be the first derivative of j**2\/2 + 45. Determine r(s(u)).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 398 + -177. Let f = -699 - 1413. Let q = l - f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from ggsl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 13*z + 1080. Suppose -4*k - y = -6*y - z, 0 = 2*y + 8. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x**(-30)*x)*x\/x**21*x**38\/(x*x\/(x**10*x*x)) assuming x is positive.\nAnswer: x**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -5*y + 899. What are the prime factors of y?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*v = -145, 62 = 2*d - 4*v - 30. Let c = d + -39. Solve 5*y - 5 = 3*x, -3*x + c = x + y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (6 - (8 - (-24)\/(-8))). Put -3, 2, -9, x in descending order.\nAnswer: 2, -3, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 113*d + 107*d + 133*d**2 - 218*d - 5*d**3 - 267*d**2 + 132*d**2. Let i be (-3 + 0)*4\/6. What is j(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17672.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/2827 + -2822\/14135. Which is smaller: t or 8.34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 22. Suppose 49*s = 41*s - 8. Calculate the remainder when (1312\/123)\/(2\/(s - -13)) is divided by i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17975281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -19*k + 183. Calculate the remainder when 61 is divided by v(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1706\/3 - 11933\/21. Let p = 91\/4 - 1175\/52. What is the biggest value in p, -3, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 32\/(-10))\/(93*(-125)\/445625).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36)*-10*(-54)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*10\/(-4))\/(1540\/(-1320)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -269 - 44267*c + 22075*c + 22105*c. Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3cdd (base 14) to base 10\nAnswer: -10779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-8)*(-48)\/9. Let a(x) = x**3 + 13*x**2 + 13*x + 8. Give a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 2 - 5)*(-s + s + 3*s) - 177 + 177 - 52*s in the form l + o*s and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 450 - 90997*y - 137 + 91007*y. What is x(-30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + j**2 + 28*j + 26*j - 40*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*l + 190*l - 609*l to the form k*l + g and give k.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2. Let k(g) = -587104*g**2 + 9. Calculate k(c(t)).\nAnswer: -28768096*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 - 372 = 15*w. Let i = -56 - -61. Calculate the remainder when w is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1287 and 1\/11.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15*a**2 - 10*a - 2. Let j(k) = -14*k**2 - 10*k - 1. Let y(v) = 3*h(v) - 4*j(v). Let l be y(4). Let x = l - 84. List the prime factors of x.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -13 - (-37 + 40) - (-1 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2227\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -5. Solve 4*v - 2*o - 6 = 0, -5*o - 2 = -i*v - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 11*u**2 + 110*u + 1690. Calculate x(-15).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 11*g + 3. What is l(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 667760 and 1927666.\nAnswer: 1310812880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 15*t - t - 2*t.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.06 (b) 0.073 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28712, 57487, 86262?\n\"Answer: 28775*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-6))\/(1\/(-3)). Let q be (-10)\/((-7)\/7) - (9\/3 - -2). Solve -2*i = -q*p - 26, 0*p - 2*p - 23 = -n*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 137. Suppose 0 = -p*w + 41*w - 42. Solve -j - x + w = 2, 3*x = 3*j + 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Let j(u) be the third derivative of u**4\/24 - 50*u**2. Suppose -4 = -5*k + 3*k. Suppose -4 = k*q + 2. Determine q*l(c) - 7*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1527*p**2 + 2311*p + 10. Let m(f) = 765*f**2 - 1156*f - 6. Let i(u) = -3*b(u) - 5*m(u). Find the second derivative of i(o) wrt o.\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {n: 10, u: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 + 2*a + 2. Let h be p(2). Let g(t) = -2*t**3 - t**2 + t + 2. What is the tens digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*a - 51*a**3 + 112*a)*(-3*a + 6*a - 5 + 6).\nAnswer: -153*a**4 - 51*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*a - 22, k + a - 44 = -k. What is the lowest common multiple of k and 17\/(-561)*-231 + (-6)\/3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 7*m + 12. Give o(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1047 + -4239?\nAnswer: -5285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 689 or -4180?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -198*a. Let v(c) = 9084*c - 19. What is g(v(i))?\nAnswer: -1798632*i + 3762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 3)*(176*y - 76*y + 607*y)*(3 + 2*y**3 - 3).\nAnswer: 9898*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2*a + 2*a + 4 + 0*a + a + a + (2 - 1 - 2)*(a - 2 + 2) - 6*a + a + 2*a + 4*a + 11*a + a.\nAnswer: 15*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005289 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/19 and 45\/29.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2.52?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17149 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 723326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g = 18, 4*k + 7*g = 5*g + 50. Suppose 7869 = k*l + 1460. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 (base 7) in base 12?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.33 (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 16) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449*r - 479*r + 163230 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168*g - 139 wrt g?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:44 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32\/21 + -6\/7. Let j(t) be the first derivative of t**4 - 1 - s*t**3 + 0*t**2 + 6\/5*t**5 + 0*t. Factor j(q).\nAnswer: 2*q**2*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388*k - 1278*k + 6490 = 0. Suppose 10*i + 16 = 6*i. Sort 1\/3, k, -0.5, i in increasing order.\nAnswer: k, i, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c = -61*c - 12*f - 2, 78*f - 73*f - 9 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -4 + (4 - 1). Suppose 3*v + g + 3*g - 10 = 0, h*v + 4*g = 8. Let n(j) = -16*j**v + 6 + 2*j**2 + 2*j**3 - j**3 + 6*j + 7*j**2. Calculate n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122213120 (base 4) in base 2?\nAnswer: 11010100111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence can when three letters picked without replacement from rcnal.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 64600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 10. Let o be r(0). Let z be (26\/(-39))\/((-4)\/3)*o. What is the second derivative of -5*u**4 - z*u + 3*u + u wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**3 - 8*n**2 - 10*n - 6. Let q(x) = 19*x**3 + 15*x**2 + 19*x + 11. Calculate -11*k(c) - 6*q(c).\nAnswer: -4*c**3 - 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -108, 0, -239.\nAnswer: -239, -108, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -2*x**2 + 32*x + 42. What is the lowest common multiple of z(4) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/4 + 285*u**2\/4 - 585*u\/4 + 295\/4.\nAnswer: 5*(u - 1)**2*(u + 59)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347185659.\nAnswer: 3, 115728553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 1. Let x(h) = -8*h**2 - 17*h + 5. Determine 15*f(l) + 3*x(l).\nAnswer: -24*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 105. Let g = -2 - -1. Sort s, -5, g in decreasing order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81771.53l to millilitres.\nAnswer: 81771530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428140708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 + 3*s**2 - 4*s**2 + 6*s**2 - 107 to the form m*s + z*s**2 + o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/6 and 31\/5088?\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*p**3 + 0*p**2 - p**2 + 5*p - 7*p + p**2.\nAnswer: -753*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 17*p - 16. Suppose g - 18 = -2*c + 21, -3*c + 69 = 3*g. Determine a(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5 + 46*x**4 + 247*x**3 - 2066*x**2 + 3748*x - 1976 = 0.\nAnswer: -38, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -0*q - 2*k + 7, -4*q = -5*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - x + 4. Let f = 38 + -39. Let v(l) = -l**2 - l + 1. What is f*w(t) + v(t)?\nAnswer: 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*u + 9, 0*u + 12 = -3*b + 4*u. Suppose -4*m + 92 + 264 = b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/47, 1, 3, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1383264 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -16*x + 58*x - 217*x - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*y = -5, 2*l + 2*y + 6 - 16 = 0. Suppose 0 = -3*p + t + 60, 4*p - l*t - 33 - 36 = 0. Is (-12)\/p - 4841\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14194589 greater than -14194593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-5)\/(25\/(-3)). Suppose m + 2*m - p = 0. Let l = m - 1. Solve l*g + 6 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose y*q = 4*q. Suppose 5*d - 20 = -q. Solve 3*j - d*j = 4*t + 10, 4*t = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -13*r**7\/105 + r**5\/5 - 7*r**4\/8 - 7*r**3\/2 + 19*r**2 - 119. What is the second derivative of i(g) wrt g?\nAnswer: -312*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*h - 15, 5*s - h + 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 267*c - 2131. Give z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w + 390 = -22*w. Solve -9 = -w*a + 23*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2919948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1 - 3)\/1. Let b = g - -2. Suppose b*z - 7*z + 75 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 - 2*r. Let g be f(-4). Let c = 437 - g. Suppose c = 4*y + 89. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*x**3 - 3 + 3 - 3 + 3*x**3 + (x**2 - 4*x**2 + 2*x**2)*(7*x - 4*x - x) + 4*x**3 + x**3 - 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829.22 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/7 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/650 and -83\/195.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-2))\/(32250\/5375)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -233 - 9abd9?\nAnswer: -9ae0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -89, -2, 4, -3\/13?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))\/(s*s**(1\/17)*s) assuming s is positive.\nAnswer: s**(84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39*(-4)\/4)\/((22\/2)\/11).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3907734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 - -216. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8539?\nAnswer: 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/2? (a) -5 (b) 0.4 (c) 116\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 935*n + 2092*n - 1610*n + 713*n as q*n + d and give q.\nAnswer: 2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*w + 215*w + 1053 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 4*i + 50 + 5.\nAnswer: 4*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-8)*((-83968)\/(-96))\/(-82)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 0, 1, -4\/5, 121, -15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v - 8. Let z be (-60)\/18 - v\/(-3). Is (-31)\/(-3) + z\/12 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/1*9\/3. Let n = b - 16. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 262. Is -120 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:15 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52065900 divided by 3471060?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-14)\/530656*-16). Calculate the greatest common divisor of w and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3829?\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -29. Let u(b) be the second derivative of -b**3\/6 - 5*b**2\/2 + b + 32. Let n(a) = -a - 4. Give o*n(m) + 2*u(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2201455 and 4843201.\nAnswer: 24216005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/3 - (-2)\/3. Let h = j - -15. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2889180?\nAnswer: 2, 3, 5, 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*(4*3*sqrt(171) + sqrt(171) + sqrt(171)))\/(sqrt(72)\/(-3*sqrt(56)\/sqrt(7))))**2.\nAnswer: 1206572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*r**2 + 4*r**5 + 2*r**2 + 5*r**5 - 7*r**5 wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 291660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 293221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2650 - -3750. Suppose -i = 5*t - 0*t. Let f be (-8)\/3*(-5)\/t. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98.0277 + -0.9723. What is the fourth biggest value in b, 3, -3, -1\/3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-280)\/798 + (-4)\/(-6). What is the second biggest value in j, -3, -40?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/10, -3, -0.565, -1, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 8. Let z be (2\/3)\/(d\/12). Sort 1, z, -5.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -21954\nAnswer: 65862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 34 (b) -11\/4 (c) 5\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -20, -5*v + 261 = g - 393. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175, 165, 141, 97, 27, -75?\n\"Answer: -n**3 - n**2 + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - 22\/(-24). Let v = 576.0541 + -576. Let c = v + -6.0541. What is the third smallest value in f, 5, c, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409920199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/12*f**4 + 0*f + 7\/24*f**3 + 1\/240*f**5 + 0 - 40*f**2. What is y in d(y) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 3*u. Suppose 2*n + 5*m = 21, -4*m = 4*n - 6*n - 6. Let b = 3 + -3. Suppose y - w = -b*w + 9, 5*y + n*w - 5 = 0. What is t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 1. Let k be o(1). Suppose 3*w - 67 = k*n, n + n + 46 = 2*w. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1213, 2, 2\/9, -7448 in decreasing order.\nAnswer: 2, 2\/9, -1213, -7448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1095 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -0*d + 7*d. Let o be ((-6)\/(-8))\/(6\/d). What is the greatest common divisor of 15 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/12 + 18*j**3 + 154*j**2. Let z(p) = p - 6. Let d be z(6). What is the remainder when n(d) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4394*-1137\nAnswer: -4995978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 plus 13968.407601?\nAnswer: 13968.627601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -218 + -24827?\nAnswer: -24a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 6. Let f be j(4). Suppose -15 = -f*d + 1. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*-21*1. Let j be (-33)\/(-9) + x\/21. Solve j*h - 4*z = 20, 4*h + h - 2*z - 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/8, -16, 5, -1.\nAnswer: -16, -1, 3\/8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -428\/3 (b) 10 (c) -6\/55 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 236238 = -208362. Round g to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10524800 divided by -176.\nAnswer: 59800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 940*j - 942. Determine o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 193*l + 5. Let b(z) = z. Determine b(x(d)).\nAnswer: 193*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.208 + -0.008. Let y be (-4)\/8*(0 + 0). Suppose y*g + 4*t = -g + 10, 3*g - 3*t = 0. Which is the nearest to g? (a) -2\/7 (b) -2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-9))\/((-16)\/12 + 1). Suppose 433 = -r*h + 2347. Suppose -4*o + h = -5*s + 485, 3*s = -3*o + 165. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -17, -2, 1.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 + (0 - 8). Let z(q) = q**2 - 2*q - 5. Let m be z(5). Let x = h + m. Solve 4*n - 2*c + 16 = 3*c, -4*c - 12 = x*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1768*b**4\/3 + 199780*b**3 + 2906060*b**2\/3 - 4730680*b + 32064 = 0?\nAnswer: -334, -8, 3\/442, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 45 = -10*i. Which is the nearest to i? (a) -0.4 (b) 2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 14. Give j(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 11) to base 14\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4982.712391 - 0.012391. What is f rounded to the nearest ten?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*x - 12, 4*v + 5*x - 2 - 27 = 0. Let a(h) = h**2 + 3*h - 11. Let m be a(3). Suppose 12 = b - m*b. Sort v, b, -5 in increasing order.\nAnswer: -5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - -12.81. Let r = 13.7 - f. Let j = -1.45 + r. What is j rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/909965 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5)*(-2)\/8)\/((-941)\/(-2823)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/12 - n**3\/6 + n**2\/2 + n. Let c(d) = 2*d**2 - 12*d + 21. Let r be c(4). What is the tens digit of y(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgrs when four letters picked without replacement from sdggrdpggpp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1444 + 2?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -c + r - 8, c = -3*r + 22. Calculate the remainder when 151 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -0.1 (c) 0.2 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/11, -24, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 - k + 2. Suppose -134 + 139 = 5*g. Let x be p(g). Solve -q - 2*q + q = x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 11 - -14 - 4\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*o + 21. Suppose -6*k = o*k - 4932. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1202 - 781. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.11*3\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 276320 = -6320. What is r rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5*f**(-2\/23) assuming f is positive.\nAnswer: f**(113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(176) - sqrt(176)*-1)*-1*-3 + 4*-2*sqrt(176) + (-2*sqrt(176)*6 - sqrt(176)))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(172*c + 3789 - 3789) - c + 1 - 1 + (2 - 6 + 2)*(-4*c + 4*c + c).\nAnswer: 169*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1327*d + 195. Let c be p(27). Suppose -33*a + c = -14*a. List the prime factors of a.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-2)\/48). Let w be (n\/24)\/(1\/3). Suppose 4*b = 4*z, -4*b - 5 = -z - 14. Solve z - w = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 4*g**2 - 29*g - 6. Let b(u) = 6*u**3 - 9*u**2 + 74*u + 11. Determine -2*b(s) - 5*z(s).\nAnswer: 3*s**3 - 2*s**2 - 3*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 135 = -20*x. Suppose b - 1 = n - 2*n, 0 = -5*b - 4*n + 10. What is the highest common divisor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5956 + 0.5966207. What is r rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -111431 in increasing order.\nAnswer: -111431, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 306*n**4 + 10611*n**3 - 143208*n**2 + 657072*n.\nAnswer: 3*n*(n - 39)**2*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-16))\/(36\/80).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1013464 - 1830?\nAnswer: -1015404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.5564 times 1.38?\nAnswer: 113.927832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138 - 58 - 43 - 57 + 29)*(-68*a**4 + 409 - 409) in the form m*a + u*a**3 + f + n*a**4 + c*a**2 and give n.\nAnswer: 18156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}