diff --git "a/data/dm_maths/full_data_2/11116_11255.jsonl" "b/data/dm_maths/full_data_2/11116_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11116_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = -86 - -917. Suppose -4*u = -16 - 0. Suppose u*x = -5*l + 483 + 2841, x - o = 4*l. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19619 - 10812. List the prime factors of t.\nAnswer: 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 19*w = 8*w - 12*w. Sort -1\/3, w, -4, 3, 60 in ascending order.\nAnswer: -4, -1\/3, w, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**2. Let r(d) = 14*d + 3. Let l(y) = -16*y - 4. Let m(p) = -3*l(p) - 4*r(p). Determine m(g(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 278528.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {l: 2, a: 9, p: 1, c: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 8064.5248?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 9885 = 4328. Solve p*c + 4 = 229*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 61. What is j(60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 165*m - 156*m + 4*m**2 + 321*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 6905225.\nAnswer: 6905225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 32 = -5*l - y, -2*l + 14 = 2*y. Let a = 94 + -88. Calculate the lowest common multiple of a and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0 (c) -0.0276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14889 is divided by 3121.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 1 (c) 4 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.09 (b) 2 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8403663062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -6. Suppose -63*n + 25914 = -28140. Let i = n + -2572\/3. Which is the fourth biggest value? (a) q (b) 0.1 (c) 0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2414406 divided by 21179\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345103.1 to the nearest 10000.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 4*k**2 - k**2 - k**2 + 3*k**2. Let t(d) = -383*d**2. What is v(t(w))?\nAnswer: -146689*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 - 3) + 1)*2. Let a = r + 7. Let n(c) = 3 - c + 3*c - a*c. Let h(w) = -w**3 - w + 1. Calculate 3*h(t) - n(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10448 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 30)*(4*y**3 - 11*y**3 - 4*y**3) + (-5 - 1 - 4)*(1 - 1 + 2*y)*(2*y + 2*y - 3*y)*(-2*y + 4*y + 0*y) as q + s*y + p*y**3 + v*y**2 and give p.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779.482 millennia in months?\nAnswer: 45353784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, u: 1, f: 2, i: 1}. What is prob of sequence xi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25507 is divided by 8252.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 812881711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 42750781794?\nAnswer: -42750781793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -148, -5 in descending order.\nAnswer: -5, -8, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42807776 and 1408?\nAnswer: 171231104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 35*y - 7 + 2)*(-22*y + 441 - 441).\nAnswer: -770*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1502, -1500, -1498?\n\"Answer: 2*r - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 990127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 32164.767 to the nearest 10.\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 325 = -95 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 divided by -1480148.\nAnswer: 52\/370037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-112)*(-9)\/(-21).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25621.09 litres?\nAnswer: 25621090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 = -p, -3*p + 3*m = m + 6. Let o be (6 - p)*2\/4. Suppose -h - 5*k + 32 = 0, o*h - 2*h + 2*k = 96. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -21*d**2 - 7. Let c(o) = -7*o**2 - 2. Let b(z) = -18*z - 104. Let l be b(-6). Give l*v(y) - 14*c(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 - o**4\/2 - 37*o**3\/6 - 5*o**2 - 56. Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwjwnnlmjmnjnjnwnwz. What is prob of sequence ml?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972289*k - 972291*k + 106 = 5*t, -3*k = -2*t + 64 - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**3*m**2 + 303*c**3 - 33*c**2*m**4 wrt m?\nAnswer: 6*c**3*m - 132*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/6*(5 - 2). Let u(v) = 11*v**2 + 19*v - 1. Let x(g) = -5*g**2 - 9*g. Let t(y) = h*x(y) - 6*u(y). Give t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 2269*m**4\/12 + 3*m**3 + 2408*m - 1. What is the second derivative of n(k) wrt k?\nAnswer: 4538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 513*i + 314. Let h(w) = -8*w + 163. Let j be h(18). Is k(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9845 and 264361520?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18208 + -18207.7. Put 1\/7, w, -10, 0.5, -4.2 in descending order.\nAnswer: 0.5, w, 1\/7, -4.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10520 - -10519.1243. Let q = 1.15 + -0.27. Let x = q + l. What is x rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -5*k, 2*k - 9 + 38 = -5*d. Solve 4*a = -a - 4*l - 33, -k*l - 21 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -25. Let h be (-1080)\/50 - t\/(-5). Let s = h - -17. Which is the third smallest value? (a) 1\/6 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847976 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 - 13296*j**4\/5 + 477684*j**3\/5 - 859248*j**2 = 0. Calculate j.\nAnswer: 0, 18, 13260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -191. Find the first derivative of 34 + 40 + 15*a**3 - 3 - t*a**3 wrt a.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, -5, -1 in ascending order.\nAnswer: -27, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127618547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + j**3 + 0*j**3 + (4*j**3 + j**3 - 4*j**3)*(6 - 2 + 0) + j**2 - j**2 + j**3 + 18*j**3 - 8*j + 8*j.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813464?\nAnswer: 2, 23, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-1 - -3) - (-56 - -49) - -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2046 + -600. Let b be i\/84*(-4)\/7. What is the greatest common factor of 99 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 6. Let h be i(0). Let l be (1 - 19)*(-1 - 2). What is the highest common divisor of h and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (24\/(-20))\/(16\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.59 + -0.31. Let l = u + -0.18. Which is the closest to l? (a) -5 (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*n + 56, 0 = 11*n - 331 + 144 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613246?\nAnswer: 2, 683, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7381*l - 9749*l + 5684*l - 1973*l in the form f*l + i and give f.\nAnswer: -13419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187554?\nAnswer: 2, 3, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 608438858 to the power of 1\/3, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 9*d. Suppose 2*f = -7 - 3, 3*i + d*f = 995. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5079, 20293, 45655, 81171, 126847, 182689, 248703, 324895?\n\"Answer: w**3 + 5068*w**2 + 3*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 299.\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n**2 - 210*n + 5. Let h be y(10). What is the third derivative of 14 - 88*p**6 + 12 + 76*p**h + 3*p**2 - 74*p**5 wrt p?\nAnswer: -10560*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -k + 11, -2*k + 3*j + 14 + 10 = 0. Let o be ((-6)\/k)\/(4 + -6). Factor 0*n + 0 + 0*n**3 - 1\/3*n**2 + o*n**4.\nAnswer: n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144265)\/(-793))\/55*39.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-109115)\/(-8) + 54\/(-1440)*10.\nAnswer: 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074451121 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(432) - (-2 + -1*sqrt(432))) + 4 + -2 + 1*sqrt(3) + sqrt(243)*-2).\nAnswer: -7*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 39, 3\/2, -208?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*p*q**2 - 2*n*p*q + n*p + 4*n*q**2 - 375192*p*q**2 - 5820408*q wrt q.\nAnswer: 4*n*p + 8*n - 750384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 643 + 4923. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2)\/d))**(-39)\/(d**(-8)\/(d*d**3\/d)) assuming d is positive.\nAnswer: d**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*i**2 + 0*i**2 + 0*i**2 - 2*i + 5*i as r*i + x + m*i**2 and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - 3. Suppose -s + 5 + 7 = -5*n, -2*n + 2 = g*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**4*w**3 + 5974*h**4 + 5*h**2*w**2 + 23*h**2*w - 9*h*w**3 - 2*h wrt h?\nAnswer: 120*h*w**3 + 143376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5) + 0 - (16 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38130 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 19 - (-1 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*n - n. Let x be ((-29)\/3)\/(-3 - (-184)\/60). Let u be (-5)\/(2\/(-14) - x\/(-210)). Solve 3*w + n*a = 3*a + 9, 0 = 2*w - 5*a - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -10 in increasing order.\nAnswer: -13, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -14. Calculate the smallest common multiple of a and 14 - (-3)\/(-6)*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*3951\/(-6342) - (-30)\/4830*-69?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -248, -831, -1958, -3809, -6564?\nAnswer: -10403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.11\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39631 + -35044. Solve 0 = 4585*u - r*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*o + 283*o - 1044 = 0. What is the remainder when 537 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -0*m - 22498 + 22630 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 1577861?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -1 + sqrt(76)\/(sqrt(20)\/sqrt(80)))**2.\nAnswer: -1830 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 - 17*s + 27. Determine u(9).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**2 - 6*a + 3. Suppose -2*w + 5*n + 33 = -4*w, 19 = -w - 3*n. Let p(h) = 5*h**2 + 3*h - 2. Let o(x) = w*d(x) - 7*p(x). Factor o(c).\nAnswer: (c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = 10*s + 3*a, 21*a - 12*a = -2*s - 23*a - 264 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in 4, 0.2, -0.3, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -415603 and 0.296.\nAnswer: -123018.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by 59.\nAnswer: -193\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/3 and -4184099\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 93, 4, 6155, -1.\nAnswer: -5, -4, -1, 4, 93, 6155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa45 - 273?\nAnswer: -30208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11482*k = -2*w - 11484*k - 68, 22 = 5*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091667065 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/203255, 1\/5, -2\/11, 1\/3, -2.\nAnswer: -2, -2\/11, -1\/203255, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-11) + 159\/33. Suppose k*g - 99 = 2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 77 - 42 - 3*a**2 + 187 - 37 - 21.\nAnswer: -3*a**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39178165379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 10*v**3 - 2*v - 5*v**3 - 3*v**2 + 4*v**3 to m*v**3 + y*v + t*v**2 + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5*z**3 + 486*r**5*z - 16*r*z**3 - 6*r*z**2 - 3*r*z + 2*r wrt r.\nAnswer: 20*r**3*z**3 + 9720*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 49 - 73, -12*h - 4*b = 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156463, -312943, -469443, -625963?\nAnswer: -782503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 30 = -7*t. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177562404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 257, -2580, -5417, -8254?\n\"Answer: -2837*q + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 100.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 630 (b) -2 (c) 2 (d) 5 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + b**3 + 0*b)*(-3 + 3 - 2*b) + 36*b**4 - b**3 - 2 + 27*b**4 - 57*b**4 to g + j*b + k*b**2 + z*b**4 + m*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211303 (base 4) to base 16.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5 - 1. Let r = -86 - -69.2. Let f = -17 - r. Which is the second smallest value? (a) 0.5 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, -0.3, -5\/4, -0.1 in ascending order.\nAnswer: -5\/4, -0.4, -0.3, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -902.890656 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**3 - 2*b**2 + 2*b**2)*(273 + 272 - 499 - 1 - 2 + 1 + (-4 + 3 - 3)*(-3 + 0 + 1)) to u*b + g*b**3 + n*b**2 + k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 5*f - 5*i, -2*f - 3*i = -121 + 2. What is the greatest common factor of 143 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5\/2 + 6207*c**4 + 37230*c**3 + 74452*c**2 + 49632*c = 0.\nAnswer: -12408, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836 is divided by 879.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34489436*v**4 - 13849999.\nAnswer: -137957744*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -53*y**5\/20 + 12*y**3 + 2*y. What is the second derivative of m(f) wrt f?\nAnswer: -318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 17. Suppose c = 3*j - 0*j. Let g be (5\/14)\/(115\/92) + 72\/42. Solve -g*r - n = -j*n + 7, 2*n + 6 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:05 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -179, -11712, -3, 2 in decreasing order.\nAnswer: 9, 2, -3, -179, -11712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26127 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 87, 0.4.\nAnswer: 1\/4, 0.4, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v. Let z(q) = 1. Let f(n) = -s(n) - 6*z(n). Let o be f(-6). Suppose 0 = 2*x - o + 20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + -85?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 179594505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*d - 453*d + 33535 = 0. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -603385, -1206772, -1810159, -2413546, -3016933, -3620320?\n\"Answer: -603387*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288820 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = h. Suppose -5*q = -q - g - 39, 24 = 2*q - 2*g. Calculate the least common multiple of q and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10696750 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 32 = 6*t. Suppose 0 = t*v - 67 - 229. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*u - 60, -6*v = -2*v - 2*u - 76. Suppose -v*j - 4*j = 0. Let d = -54 + 217\/4. Which is the nearest to d? (a) j (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 24 - 11 - 13.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74a544 + -136?\nAnswer: -74a67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from ugbbegeeehhbuhbeeb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27192 is divided by 91?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 - 7*s - 14. Give o(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 543 - -27?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5 + 5)*(-5 - 11 + 40).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 8. Calculate g(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/12)\/r)\/(r**(-1\/3)\/r*r))\/(r**(4\/17)\/r*r)**(-39) assuming r is positive.\nAnswer: r**(641\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n + n**2 - 2*n)*(3*n**2 + n**2 - 2*n**2) - 12*n**4 + 4*n**4 - 6*n**4)*(80 - 25*n - 80 - 6*n).\nAnswer: 372*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*r**3 - 170*r**2 + 314*r**3 - 107*r**3 - 217*r**5 - 104*r**3 wrt r?\nAnswer: -13020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-15)\/(-6) + -2). Suppose 2 = 4*h - 2, -5*m - 4*h = -i. Suppose 0 = 3*a - 4*a + 12. Solve m*k = -k - a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 2*m**4 - 2*m**4 + (2*m + 2*m**4 - 2*m)*(2 - 8 - 3) + (3*m**3 + m**3 - 6*m**3)*(-1 - 1 + 1)*(-4*m - m + 2*m).\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35444102 - -5?\nAnswer: -35444053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 983 + 3840. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2824 + 14272\/5. Let r = -30 + x. Let n = -278 + 1952\/7. Which is the smallest value? (a) r (b) n (c) -1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2981, -444 in ascending order.\nAnswer: -444, -5, 2981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 7*g = 5. Solve -6*q = -g*x - q - 10, 15 = -5*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-5))\/((-140)\/15)*98\/(-147)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2 + 0 - (-25 - -7976). Is d\/(-21) - (-1)\/((-21)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20753 - 3.69.\nAnswer: -20756.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w**2 - 10*w**2 + 14*w**2.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 2*z - 2*z. Let v(g) be the second derivative of g**6\/24 - g**3\/2 + 4*g. Let t(l) be the second derivative of v(l). Calculate j(t(b)).\nAnswer: 225*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvvvvn. Give prob of sequence vnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -11 + 20 - (12 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Solve -j + 5 - 3 = n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 3*g - 1. Let t be o(-3). Let z be (-8)\/16*(-8)\/(-22). Is t less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgk when four letters picked without replacement from {g: 2, k: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252)*1 + 5)**2.\nAnswer: 24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118, -129, -44, 185, 606, 1267, 2216, 3501?\n\"Answer: 8*d**3 - 67*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 64*c**2 - 416*c - 190. Give l(70).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*g*j**3 - 5*g - 16*j**3 + j**2 - 656 with respect to j.\nAnswer: -426*g*j**2 - 48*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g + 6 - 6)*(-4*g**2 + 0*g + 0*g)*(-3*g + 2*g - g) to the form q*g**4 + m*g**2 + b*g**3 + t*g + f and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 2*h**2 + (3 - 3 + 2*h)*(-3*h + 6*h - 4*h))*((1 - 3 + 4)*(-2 + 3 - 2) - 8 - 2 + 4 + 0 - 5 + 4) to the form a*h**2 + p*h + s and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -132241422 (base 6) in base 10?\nAnswer: -2633846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -8*i - 1\/5*i**6 + 0*i**2 + 0*i**5 + 1\/3*i**4 + 0 + 0*i**3. What is the third derivative of h(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 83 + (-35 - 30)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5550)\/(-20)*(-1 + 1\/5). Let n = -114 - r. Does 36 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -30, -31, -16, 21, 86?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 9553156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142958967 to the power of 1\/4, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26 and -1\/369785.\nAnswer: 369785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7756 + -7755.50056. Let z = 3 - 3.5. Let j = r + z. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (-71675)\/(-94)*12\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/6 - 5*j. Let z be w(5). Is ((-2)\/(-2))\/(z\/1055) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 5. Let q be m(-7). Let o = -152\/7 + 22. Sort 0.5, q, o in decreasing order.\nAnswer: q, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 4. Let i(w) = -9 + 0 + 2*w - 9*w. Suppose -5*g - 80 = -5*x - 10, -3*g - 6 = 0. Let n = x - 8. Give n*i(r) + 9*k(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a factor of 158783411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111334041 (base 5) to base 6\nAnswer: -14344550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 - 4*d**2 + (2*d - 5*d - 4*d)*(0*d - 4*d + 2*d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 57555 = -11*h. Let m = -3018 - h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, 10, -1\/6 in descending order.\nAnswer: 10, 3, -2\/13, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 4552, 3.\nAnswer: -0.4, 0, 3, 4552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - -154. Let b = w + 100. Let q = b - 311.161. What is q rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 6*g**2 + 0*g + 6*g**2 + 7*g**2 to the form w*g**2 + h + d*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14904 - -14788. Which is bigger: u or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/56 and -87\/262832.\nAnswer: 1839824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*y**2 - 41*y - 3?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*r - 7*r. Find the second derivative of 3 - 334*w + 80*w**3 - 2*w**r + w**2 + 332*w wrt w.\nAnswer: 468*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47973927 divided by 154257.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1710, -1716, -1724, -1734, -1746, -1760?\n\"Answer: -x**2 - 3*x - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 738, 882, 1278, 2052, 3330, 5238?\n\"Answer: 21*h**3 - 3*h + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {f: 1, g: 5, e: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from afenhfnnen.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/15 and (-1)\/2*190\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/((sqrt(2) + sqrt(50))*1))\/(-3*(sqrt(2) - (sqrt(2) - (4*sqrt(288) - sqrt(288)) - sqrt(2)))).\nAnswer: -sqrt(17)\/666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 52*i**2. Let h(o) = 7*o**2. Give v(h(f)).\nAnswer: 2548*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23212 - 23912. Put 1, q, 5, 0, -3 in decreasing order.\nAnswer: 5, 1, 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 6. Suppose i - 27 = q*i. Let s be 2\/13*((-15)\/i)\/(-5). Which is the second biggest value? (a) 4 (b) -2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85078 - 84660 = -11*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -21*b**3 + b**2 + 2*b + 2. Determine m(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - c + 14 = 7, 3*c = 21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -66. Suppose -f*c + 54*c - 1265 = 0. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14936?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 + 7*j**2\/5 - 117*j\/5 - 891\/5.\nAnswer: (j - 11)*(j + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1857637\/5610 + 5624\/17. What is the common denominator of u and 139\/1254?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1760 and 37\/46112?\nAnswer: 230560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 661392 and 22059?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 2. Let g be v - (-3 + 2 + 1). Determine p so that 0 + p**2 - p**3 + g*p + 0 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054 is divided by 507?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -39, -84, -165, -294?\n\"Answer: -2*m**3 - 7*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 456 (c) -5 (d) 19.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 332\/3. Which is the nearest to -8? (a) s (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*t**4 - 4662*t**3 - 4*t**2 - 28257852?\nAnswer: 96*t**3 - 13986*t**2 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 19*n - 5. Let z(y) = y**2 + 4*y + 15. Let j be z(n). Suppose -j = -q + 53. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546716 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 691736 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 - (-4)\/(-10) and ((-780)\/(-32))\/(-3) - 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -449*m**3 + 20*m**2 - 17*m + 8. Is b(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 443118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 11*c - 13. Let x be s(9). Suppose 4*j = x*j - 54. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 24. What is the common denominator of 118\/j + 7 + -6 and 3\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 433 + 15*d**3 - 2*d + 430 - 867 to the form m*d + t + w*d**3 + o*d**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -16*i + 6. Let s(t) = 0 + 384*t - 387*t + 2 - 1. Let b(q) = 6*s(q) - w(q). Let j(l) = -l**2 + 2. Determine b(j(f)).\nAnswer: 2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 216\/56.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 11:57 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/415 and 23\/4.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157466, 314930, 472390, 629846, 787298?\n\"Answer: -2*u**2 + 157470*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:54 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2)\/8)\/(2\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -3. Suppose 2*a - f = 21, 0 = 4*f - 8 - l. What are the prime factors of a + 4 - 2*-1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b. Let v(g) = 411*g - 411*g - 20*g**2. Calculate f(v(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0308 - 0.3308. What is the third smallest value in -80, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246684141 or -246684140?\nAnswer: -246684141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1 - -9) + -6 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 5*f - 336. What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2669607*l - 2669606. Give v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {r: 2, h: 4, t: 1, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 104304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/3 - -7\/6. Let v = -158 - -92. Let l be (-56)\/v + 4\/(-6). What is the second smallest value in k, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1000?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.038 (b) 3\/8 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17781713311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 30*s + 1. Suppose -200 + 164 = -4*r - 4*k, 0 = 3*r + 2*k - 19. What is y(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*(22\/(-198))\/(2\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741258 is divided by 148198?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, -0.69, 1\/3, -0.112?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 43 = g. Suppose 3*t = 6*t + g. Let p = t - -158. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 - 2*p. Let g be a(5). Let o = -50 - g. Let z = -14 - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fd - 0?\nAnswer: -1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 37*b**2 + 2*b + 5. Let d(y) = -y**2. Determine f(d(o)).\nAnswer: 37*o**4 - 2*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -11. Suppose -i*y = -3*y + 12. List the prime factors of 1095\/35 - y\/(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 + -6 + -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let r(t) = 1. Let c = -1 + 2. Let l(d) = c*r(d) - 3*w(d). Let u(n) = 89*n + 180. Let g be u(-2). What is l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*1 + -4 + sqrt(288) + -5 + -6*(-5 + -1*sqrt(288)))*-2*4)**2.\nAnswer: 258048*sqrt(2) + 1207872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.629 - -30.929. Let x = f - 31. Is x smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -19. Let n = 9 - v. Which is the second biggest value? (a) n (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42643622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 132, 6, 53 in ascending order.\nAnswer: -3, 1, 6, 53, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 + -3 + 3 + -2. Let n(t) = t**2 - 2. Suppose -2 = -p + 2*p. Let o be n(p). Solve 3*j = -5*m - 35, 6*m = o*m - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let q(j) = -5*j**2 + 19*j**2 + 0*j**2. Give q(t(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**5 + 1754*d**4*m**2 - 2*d**2 + 102*d*m**2 + 27*d*m + 3*d wrt d.\nAnswer: 660*d**2 + 42096*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472361 and 2022243.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 71, 109, 149, 191, 235, 281?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = 262*b - 2005 + 578 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 65 = p. Let u be 1\/4 - 14\/(-8). Let c(m) = 5*m**u + 23*m - 10*m - p*m. Let l(k) = k. Calculate c(l(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) - (-3 + (-7)\/(-2)). Let s be ((-1)\/2)\/((-1)\/8). Let t be 2\/(s*-1)*g. Solve 2*h - 5 = -t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*l - 91*l - 23*l**2 + 3*l**3 - 79*l - 81*l wrt l?\nAnswer: 18*l - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-320)\/(-10))\/64)\/(54\/(-40)*(-8)\/(-12)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.129 + -0.071. Let k be (2\/3)\/(2\/15). Sort j, 1\/6, k in descending order.\nAnswer: k, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 83, 81, 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -132a2?\nAnswer: 13298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -4\/3*p**6 - 4*p**2 + 0*p**3 + 0*p**5 + 0*p**4 + 4 + 0*p. Find the second derivative of b(m) wrt m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707321582 to the power of 1\/3, to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.335, -3\/5 in ascending order.\nAnswer: -3\/5, -0.335, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81733 + 7*m + 6*m - 81733 + 39*m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 941.839328 to the nearest 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-3))\/(-2))\/2. Suppose -w = -3 - d. Find the third derivative of y**2 - y**2 - 2*y**3 - w*y**2 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/2)\/(x*x**(1\/5)*x))\/(x**(-3\/4)*x**3)*x**(1\/5)\/(x**(2\/9)*x*x)*(x*x\/(x**1*x))**50 assuming x is positive.\nAnswer: x**(-323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.001 + -2.501. Let h be 4\/(-2)*16\/(-160). Which is the closest to i? (a) -2 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -2 (b) -0.12 (c) -1.54 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001875 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 337569917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7362 divided by -6\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.808 rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373173 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:54 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26511417?\nAnswer: 3, 31, 167, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 456965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/9 - 2*j**4\/3 + 64*j**3 + 816*j**2 + 3744*j + 6048 = 0.\nAnswer: -6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 2*q + 2. Let j = -46 + 19. Let r(c) = 66*c**2 + 27*c - 27. What is j*w(t) - 2*r(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2, -1\/978, -12, -0.5?\nAnswer: -1\/978","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26878033*w**3*y**2 - 3*w**2*y**2 - 2*w**2 - 30*w*y**2 - 2*w*y + 23*w + 15 wrt w.\nAnswer: 161268198*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, -5, -54, 249, -7 in descending order.\nAnswer: 249, 5, 3, 2, -5, -7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1247359878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + ab78?\nAnswer: ab80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 7. Is (-369)\/(-7) - t\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 5 (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 102*r + 1. Let t(a) = -4*a**2 + 224*a - 2. Determine 9*m(q) + 4*t(q).\nAnswer: 2*q**2 - 22*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Suppose -4*v - 25 = -5*o - 17, -v = 12*o + 55. Is l bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6028 + 6021.957. Let k = -6 - b. Let z = k - 0.0429946. What is z rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 2*d**2 - 15*d - 8. Let p(q) = 2*q**3 - q**2 + 7*q + 4. Let k(s) = 4*g(s) + 9*p(s). What is k(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and -2492789989505.\nAnswer: -2492789989525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1229*t - 6143. What is m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -8)*8\/5. What is the highest common divisor of i and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.842 + -42. Round q to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 110*k**2 + 120*k - 1137. Give r(109).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**5\/3 - 4*j**3\/3 + 27*j**2\/2 + 11. Let q(h) be the second derivative of a(h). What is the derivative of q(m) wrt m?\nAnswer: -40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4\/3)*(-53 - -26). Let x(n) = n**3 - 8*n**2 - 6*n - 3. List the prime factors of x(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 30*m + 763. What is the tens digit of v(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2114*i + 70 = -4*y - 2122*i, -i = -198*y - 1379 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -14, 0, -5 in decreasing order.\nAnswer: 289, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -45, 0 in increasing order.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 493699984 minus 989?\nAnswer: 493698995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 102 + 6. Suppose 9*t = 6*t + i. Let s(h) = -3*h + 5. Calculate s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Suppose -128 = -25*o + 47. Let h(i) be the first derivative of 0*i - 5\/2*i**2 + o. Determine w(h(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*g*o - 55510778*g + 46149*o wrt o.\nAnswer: 100*g + 46149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9))**(-30) assuming j is positive.\nAnswer: j**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*l**3 + 28*l**3 - 136*l**3.\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -7, 18 in decreasing order.\nAnswer: 18, 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -5.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1215\/8, -1\/2, 1\/19, 3 in increasing order.\nAnswer: -7, -1\/2, 1\/19, 3, 1215\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {b: 4, v: 9, a: 6}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-196)\/(-10))\/((-1)\/(-35)). Suppose -s + 2*k = -283 - t, 0 = 5*s - 2*k - 4885. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = -17*q + 361. Which is the smallest value? (a) 6\/11 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588*y**3 - 815*y**3 - 747*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10955.9 - -11878. What is d rounded to the nearest ten?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1055, 2111, 3167?\n\"Answer: 1056*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) + (-1880)\/(-1890)*-15. Is -15 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -11\/24*f**4 + 0 + 0*f - 10*f**2 + 7\/2*f**3. What is the derivative of j(t) wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3978 and 17731?\nAnswer: 4149054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3365*p + 1. Let m be h(7). Suppose -b - 302780 = -6*b. Let c = m - b. What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -38*x**2. Let o(m) be the second derivative of 103*m + 1\/3*m**4 + 0*m**3 + 0*m**2 + 0. Calculate g(o(y)).\nAnswer: -608*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(4 + 0 - 3)*((5*d**2 - d**2 - 2*d**2)*(4*d + 0*d - 2*d) + 4*d**2 - 4*d**2 + d**3 + 0*d**3 + 0*d**3 + 5*d**3).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 10*d - 1380. What are the prime factors of d?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 3, u: 2, r: 2}. Give prob of sequence us.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 20*t**2 + 513*t + 387. What is x(35)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1 - 0\/6. Suppose -3*u + v + 65 = 0, 6*v - 60 = -4*u + c*v. Let p = 1 - -2. Solve 5*l + 60 - u = -3*g, -10 = 5*l - p*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 8*z**2\/5 + 8*z\/5.\nAnswer: 2*z*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51528487\/5 < 10305698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2437104.9565 + -2437685. Let o = g - -551.043487. Let q = o + 29. What is q rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8049 + -0.1951. What is the fourth biggest value in 2, -1, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16794?\nAnswer: -2\/8397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 y when four letters picked without replacement from ppdddydpyyd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, 3, 60, 175, 366, 651, 1048, 1575?\n\"Answer: 3*q**3 + 2*q**2 - 10*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 51. Suppose -2*x - 4*o = -0*x + l, o = -5. Which is smaller: x or -4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000984396177 to seven decimal places.\nAnswer: -0.0009844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = 4*l, 0*l - 5*l - 30 = -5*j. Let y(p) = 3*p + 3*p**j - 3*p. Let o(u) = -2*u. Calculate o(y(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 5, f: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -3, 0, -5 in decreasing order.\nAnswer: 0, -3, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -31901*b + 6 + 31901*b - 13*b**2 as c*b**2 + f + q*b and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + 11*w**3 + 2 - 10*w**3 + 3*w**2 + w**2 - 3*w**2 to i*w**4 + k*w + z*w**3 + y*w**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -62397*y. Let m(t) = -19*t**2. Calculate n(m(s)).\nAnswer: 1185543*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 1 - (-206 - (-195 + 60))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 894 - 893. Let w = 0.2 + -0.1. Which is the closest to w? (a) p (b) 0.1 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(405) - sqrt(405)) - (-2 + (1 + sqrt(405) - sqrt(405))) - ((2*(sqrt(405) + 1) - sqrt(405)) + (sqrt(405) + 1)*-4))**2.\nAnswer: 54*sqrt(5) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 815 - 806. What is the nearest to -11\/6 in 0, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + -9)\/((-3)\/(-13)). Let d = 18 - s. Calculate the smallest common multiple of d and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnqdn. What is prob of sequence dd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/55550193 and 56\/3?\nAnswer: 55550193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 57*u - 657. What is o(-19)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -381.201 + 381. Round f to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q - 5. Let w(u) = -8*u + 3. Let s(x) = 4*b(x) + 5*w(x). Let t(g) = 2*g + 2. What is -4*s(h) - 10*t(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 3, 0.1, -1\/5 in decreasing order.\nAnswer: 3, 0.1, -1\/5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 0.00043 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(2*t**3 + 4*t**2 - 4*t**2)*(4*t - t - 2*t)*((1 - 1 + 2)*(-1 + 4 - 4) + 37 - 65 + 37).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/17? (a) -1\/7 (b) -0.3 (c) 1\/944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u - 180*u = 11432 - 14750 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 424 + 272 + 182 = 23 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 205140*y + 2461660. Calculate n(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -218261.9\nAnswer: -218256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 247.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -589 + 564. What is the highest common divisor of 65 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17806 + 16682 = -1916*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1518 = -3*t + 6*t, -x + 1498 = 3*t. List the prime factors of t.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 318*z - 1280. Does 27 divide o(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1800575993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879323.\nAnswer: 47, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 1, e: 1, m: 1, k: 1}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7*p + 3126 = 0. Let v = 756 - p. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -16. Let n = v + -31. Let m = -3.3 - n. What is the smallest value in -4, m, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 2. Let u(q) = 1. Give 2*u(o) - x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukbk when four letters picked without replacement from {g: 1, b: 4, k: 4, a: 1, p: 2, u: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184.3845 take away 0.3?\nAnswer: -2184.6845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 52, 53, 54, 55, 56?\n\"Answer: b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 31*j - 100. Let k(s) = -31*s + 100. Let q(r) = 7*a(r) + 6*k(r). Let i(h) = 8*h - 2. What is the lowest common multiple of q(4) and i(3)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 149786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, v: 2}. What is prob of sequence vj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291\/4 - 73. Let i = 3.93 - -0.07. What is the biggest value in -0.5, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56819*y + 61394 with respect to y.\nAnswer: -56819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00546153124 rounded to six decimal places?\nAnswer: 0.005462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 9.4. Let g = 127\/4 - 32. Is g bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-720)\/(-70))\/(-12))\/((-5)\/((-490)\/(-6)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3596 is divided by 710.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, y: 2, n: 11, o: 1}. What is prob of picking 1 y and 2 f?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2262.4 - -2262.2. Sort -52, 0.2, y, -1.3, 2\/21 in decreasing order.\nAnswer: 0.2, 2\/21, y, -1.3, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234 or 63593\/272?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 438 = -4*x, -5*y - 100 + 13 = -x. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -81. Let l be 6 - 4\/(1 + 1). Let h(k) = k - l + 0*k - 1 + k**2. Calculate h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.096, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468))\/(2*sqrt(16)) + (2*((sqrt(13) - (3*sqrt(13) + sqrt(13))) + -2)*3)**2 + -1.\nAnswer: 1725*sqrt(13)\/4 + 4355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156515?\nAnswer: 3, 5, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1843 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74340 (base 14) to base 7.\nAnswer: 2245610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286 divided by -57.\nAnswer: -286\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 407 + 258. Suppose b*c = 132*c + 15. What is the smallest common multiple of 39 and c?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:46 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31963572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10524 + 10525. What is the closest to 0.1 in -7, q, 3\/10, -4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 90\/3181 and -50 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 776 - 768.4. What is the nearest to 1 in 3, c, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1300) + sqrt(13))*-1.\nAnswer: 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*o)*(2 - 9 + 1) to the form j*o + z and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(648) + 1)**2.\nAnswer: -1947 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1621*a**3 + 4*a**2 - 4. Let x(h) = -19458*h**3 - 47*h**2 + 47. Give 47*i(p) + 4*x(p).\nAnswer: -1645*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334 = -133*t + 690 + 572 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -78\/7, -45, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1569 + 1629. Solve -33*y + 3*y = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 20020?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5793909\/343 - -16892. What is the common denominator of a and 115\/252?\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*728\/(-234)*(1 + -10 - -6) is divided by ((-10)\/3)\/(1\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/360 + 5*n**4\/24 + n**3\/6 - n. Let d(t) be the second derivative of c(t). Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lnlqnnfllllln.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*g + 36, w + 4*g = -14 - 7. Sort 3, 199, w in descending order.\nAnswer: 199, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38943b - 15?\nAnswer: 389426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57, 62, 67, 72, 77, 82?\n\"Answer: 5*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.94 - 45. Let l = 29.5 - 29. Which is the closest to 1\/2? (a) l (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 572, -1, 4, 5, -2 in ascending order.\nAnswer: -2, -1, 4, 5, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 78. Let m be r\/(-21)*(0 - -3). Solve 1 - m = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -173*s - 96. Let h be a(3). Let l = h - -664. Calculate the remainder when 536 is divided by l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28684 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0 = -i - 8, 2*i = -4*k - 4. Let d be 10\/15*(-3)\/(-1). Solve -d*c - 3 = -9, -i*c + 7 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 231*y. Let k(w) = w**3 - 116*w. Give -11*k(t) - 6*s(t).\nAnswer: t**3 - 110*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j - 35*j + 186938042 = 139*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 0.72. Let a = -4220 - -4220.2. What is the nearest to g in a, -4, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -55.77545.\nAnswer: 167.32635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, -2\/11, -0.059772?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2))**(-2)\/(b\/b**(-7)*b*(b**6\/b)\/b*b))**(-3\/2))**17 assuming b is positive.\nAnswer: b**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536329, 6145313, 13826959, 24581273, 38408261, 55307929, 75280283?\nAnswer: 98325329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 3*f + 4. Give a(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14156, 21898, 29640, 37382?\n\"Answer: 7742*k + 6414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w. Suppose 0 = 2*y, 4*q - 60 = -2*y - w*y. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37043 - -115?\nAnswer: 37160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3104 (base 6) to base 2.\nAnswer: -1010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 10*a + 10 - 10.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 3*r - 5, 0 = l - 5*r - 23. What is the units digit of (0 + 18\/9)*(410 - l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 3*u**2 + 4*u**2 + (3 + 4 - 4)*(1 - 1 + 2*u)*(-2*u - 1 + 1).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:11 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-6))\/(1\/3). Suppose -a + 42 = -u*a. What is the remainder when 26 is divided by 0 + 3\/((-3)\/a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217\/16090 or -1?\nAnswer: -217\/16090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97868 - -90?\nAnswer: 97938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 103. Is -8\/35 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f - 40 = 0. Suppose -25*q + 31*q + 6 = 0. Let u be 1*(q - 3) + f. Put 2, 5, u in ascending order.\nAnswer: 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 17790240*w + 26374386604800.\nAnswer: 3*(w - 2965040)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 421, 786, 1155, 1528, 1905?\n\"Answer: 2*u**2 + 359*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let o be (-179)\/4 + (-1)\/t. Let x = o - -102. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*t - 28, 4*t = -t + h + 44. Let s(r) = 10 + t - 17 + 2*r**2. Let i(k) = -3*k**2 - 4. Calculate 4*i(j) + 7*s(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2. Let l(d) = -8611*d. What is x(l(b))?\nAnswer: -296597284*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -5947282?\nAnswer: 5947282.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27290430, -54580857, -81871284, -109161711, -136452138?\n\"Answer: -27290427*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s - 9*s)*(68*s - 20*s**2 - 68*s).\nAnswer: 300*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7439.7 - 112\nAnswer: -7551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h*n*p - 296*h*n + h*p + 2*h - 9*p + 16 wrt n?\nAnswer: -7*h*p - 296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2102518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 - (-14 + (13 - -2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014445 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43046086 - 43046087 + 19*a + 138*a.\nAnswer: 157*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 27*u**2 - u + 1. Let g be a(-3). Suppose 4*t - 4*c + 7*c + 200 = 0, -5*t - 3*c = g. Let h = t - -93. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1861 + -1860. Which is the smallest value? (a) 0.2 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3836049 rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 316*(11 + (-1989)\/162). Is -403 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = 58*n - 87*n - 75*n - 4522 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 10) to base 11.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*h - 8220621 + 8220757 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 1. Let j(s) = s**2 + 11*s - 10. Let n be j(-12). Let p(q) be the first derivative of -3*q - 2 - 9\/2*q**2. What is n*p(f) + 5*y(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 s when three letters picked without replacement from kikskskisk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212679609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112469266.\nAnswer: 2, 7, 13, 617963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 1. Let k(a) = -11*a - 2. Let b(n) = k(n) + 6*t(n). Let v(c) = -1. Let r(f) = b(f) + 4*v(f). Let w(z) = 3*z**2. Calculate r(w(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 13 = -2*g, -2*g = 40*q - 39*q - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9*n + 111 = 7*n, -5*z = 3*n - 166. Solve -z*j = -31*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*-3*45\/6. Suppose -12 - 243 = -5*d. Let m = a - d. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7458 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 z when three letters picked without replacement from {f: 9, d: 1, c: 2, z: 1, j: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.28 + 1.3071. Let c = o - 274.2271. Round c to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/5 - 322*o**4\/5 - 14461*o**3\/5 + 369012*o**2 - 6566580*o = 0. Calculate o.\nAnswer: -191, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6150 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19420*c**3 - 67614*c**3 - 41651*c**3 + c - 5 + 10960*c**3 - c**2.\nAnswer: -78885*c**3 - c**2 + c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -355 - -354.5. Let q be (0 + 9)*((-2)\/(-12) - 0). Let l = -22 + 24. What is the smallest value in q, -0.1, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130561, 522242, 1175043, 2088964, 3264005, 4700166, 6397447?\nAnswer: 8355848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maj when three letters picked without replacement from ajmovvmaajaaavjvqa?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 1100 + 8105. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 2, 4 in increasing order.\nAnswer: -3, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(1\/1) - (5 + -7). Let b be (-4)\/d*(-558)\/12. Do -31 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19cd (base 15) to base 5\nAnswer: 134333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3348267283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v + 13. Suppose d - 23 = 21. Suppose -d = q - 32. Let z(j) = -22*j - 32. Determine q*u(h) - 5*z(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 - 13.27. Let s = 14 + v. Let t be 0 - 0 - 2\/13. What is the closest to 1 in s, 0, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 20. Let d be g(19). Let z be (-6)\/24 + (-75)\/(-12). Calculate the remainder when 10 is divided by (5\/2 + d)*16\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7ba8 + 2002?\nAnswer: 9baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15680 divided by 16\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -4*r + 30 + 130 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227746 and 54886786.\nAnswer: 54886786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 11. Let c be z(-3). Suppose -4*m - 4389 = -c*t, t + m - 3*m = 879. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.3. What is the closest to -1 in k, -1\/2, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/662910 and -93\/38.\nAnswer: 662910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/5 (c) 4 (d) 3 (e) 1\/24 (f) 22 (g) 0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39472593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 483 + -177. Differentiate 638*d**2 - g*d**2 + 80 - 282*d**2 - d with respect to d.\nAnswer: 100*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 - 46 = -60*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4352*t + 43420. Calculate m(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 16*s - 31. Calculate m(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 793309*y + 646074 wrt y.\nAnswer: 793309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3399772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2195, 2188, 2181?\n\"Answer: -7*l + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1218\/37? (a) 4 (b) 2\/7 (c) -8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 4\/15, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, -28197 in decreasing order.\nAnswer: 7, -6, -28197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 11, 8, 5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-24) + 1\/2. Solve -x = -l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, -1, -49, 3, -2 in descending order.\nAnswer: 28, 3, 2, -1, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3\/16 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.3 + -3. Let c = t - -89.7. Let p = c - 91.87. What is p rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06810148 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*r - 2*r - 3*l, 4*r - 24 = 5*l. Let k = 23 + -19. Suppose 101 = k*z + 5*w, r*z - z - 80 = 3*w. Calculate the highest common factor of 133 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 14) to base 12\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n + 5. Let a(w) = -4*w + 2. Let f be a(2). What is the remainder when h(f) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11399 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*1*2*(-1)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724456.\nAnswer: 2, 19, 107, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5209, -20845, -46905, -83389, -130297, -187629?\nAnswer: -255385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*d - 3*z, 4*z + 26 = -3*d - 0*z. Let l(o) = 5*o - 2. Let w(k) = 14*k - 6. Let y(p) = d*w(p) + 17*l(p). Let q be y(-2). Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m + 11. Let c(l) = l**2 - 3*l - 12. Let f = 337 + -333. Let n(d) = f*c(d) + 5*o(d). What is n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 4*b**4 + 0*b**4 + (3*b**4 - 3*b**4 + 3*b**4)*(0 + 0 + 6) + 2*b**3 - 2*b**3 - 2*b**4.\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from hhqqeqqqqeqqqeqqqee?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-36))\/(6\/66408) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -211349.\nAnswer: -4\/211349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*d + 35 - 35)*(10 + 3*d - 10).\nAnswer: 138*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 10 = -90. Suppose -95 = u*k - 2*c, 4*k = -0*k + 4*c - 64. Which is smaller: -20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 82 = z + 319, 3*i - 3*z = -24 + 105 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 1.5855291?\nAnswer: -0.110987037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71813487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-180)*33 + (-32)\/240. Let n(d) be the first derivative of -g*d**2 + 1\/2*d**3 + 3*d + 7. Factor n(l).\nAnswer: 3*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3113 - 2975 - i**2 + 2*i**2 to r + k*i + n*i**2 and give r.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and 55\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*t + 3530 - 3488, 51 = -2*k - 3*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/70 - 16*(-14)\/(-784).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.52, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, -3.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*f + 0*f - 4 = 0, -5 = 5*z - 5*f. Suppose -z*y + 3 = -5*y, -y - 538 = -3*c. What are the prime factors of c?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 0 - 3 + 1 - c**3 - 4*c**3 + 4*c**3 + (-2*c**2 - c**2 + c**2)*(c - 3*c + 0*c).\nAnswer: 4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - w**2 - 48*w + 31*w.\nAnswer: -w**2 - 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 9*r = -4*o - 2*o, -2*o - 6*r + 3 = 13 + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*q + w, -w - 19 = 4*q - 8. Is (-54)\/(-15)*5615 + q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times -2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*f - 4. Suppose -3*l = f - 9. Suppose 2*h = -2, 0 = -7*k + 2*k + 4*h + 14. Calculate the greatest common factor of k and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15121273*v**2 - 2*v + 12387200 wrt v?\nAnswer: 30242546*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 + 162. Let m be (-6)\/16 - (-873)\/24. What is the greatest common factor of m and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, r: 3}. Give prob of sequence rrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -514, -1028, -1540, -2050, -2558, -3064?\n\"Answer: k**2 - 517*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 1c3489?\nAnswer: 1c348e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -220509\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188528 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -35, 4, -6, 16 in decreasing order.\nAnswer: 23, 16, 5, 4, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (7 - -18)) + (-16 - -23) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62730 - -564572\/9. Find q, given that 2\/9*q**2 - 4\/3 - l*q = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 * -1.6\nAnswer: -372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063504705 to 6 dps.\nAnswer: 0.000635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/63 (b) 166\/7 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:35 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*y**2 - 2*y - 4*y - 2*y**3 + 7*y in the form u*y + r*y**2 + x*y**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283676138 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.84357 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1301122224 (base 5) to base 12\nAnswer: 1078256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -3374512?\nAnswer: 3374517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31347783 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 24*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, s: 3}. What is prob of picking 2 s and 1 a?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/481152 and 91\/77328.\nAnswer: 4330368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 5)*((-1 + 5 - 5)*(-4*j - 2*j + 3*j) + j - j - j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 414, 1367, 2934, 5109, 7886?\n\"Answer: -i**3 + 313*i**2 + 21*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(432) + sqrt(432)*1 + 3) + sqrt(432) + 0 + -1 + sqrt(432)*1 + 4)**2.\nAnswer: -55584 - 4608*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 396, 832, 1296, 1788, 2308?\n\"Answer: 14*r**2 + 394*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 + 255.3. What is the second biggest value in z, -0.2, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 147, 159, 185, 231, 303, 407, 549?\n\"Answer: a**3 + a**2 + 2*a + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184647558 by -2.\nAnswer: -92323779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1225122 - 26.5.\nAnswer: 1225095.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2068 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43018655923750 from -0.4.\nAnswer: 43018655923749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/151 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and -5126.\nAnswer: 522852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1014\/8347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 875\/71, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/3))**(-7\/3)\/((g*g\/g**(-3\/8)*g)\/(g\/g**(-1\/5))))**(-47) assuming g is positive.\nAnswer: g**(142081\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 6 - 8 - (0 + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*j = -36, 2*m + 35*j - 36*j = -12. Let b = -493 + 483. Suppose -1 = -4*i - 5. Put b, m, i in decreasing order.\nAnswer: i, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4343301027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:52 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/(15\/(-15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*a - 81, -4*b + 70 + 82 = 5*a. Calculate the smallest common multiple of 40 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2808*o. Let l(f) = f + 20. What is l(b(k))?\nAnswer: k**2 - 2808*k + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*x + 2*x + 134 = 0, 3*x = -2*y + 55. Suppose -3*i + y = 20. Solve -i*l - 3*w = 13, 1 = 4*w - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*a = 15, -2*l - a = 3*a - 10. Suppose -6*g + 30 = l*r - g, g - 4 = r. Put -3, -4, r in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 (base 9) in base 5?\nAnswer: 21304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 2*a**5\/75 - 313*a**4\/12 + 391*a**3\/15 + 263*a**2. Factor d(p).\nAnswer: 2*(p - 391)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:56 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let z = i - -5. Find the third derivative of -o**2 + 4*o**z - 4*o**3 + 3*o**6 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41501661*h**3 - 204*h**2 - 5710 wrt h?\nAnswer: -249009966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 2, f: 1}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 595*w**2 - 5*w + 595.\nAnswer: 5*(w - 119)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/50232 and 79\/9338.\nAnswer: 1456728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**45)**34*(s**(1\/3)*s)**27*s\/(s\/(s\/(s\/((s\/(s\/s**4))\/s))))*((s*s**2*s)\/s)\/s assuming s is positive.\nAnswer: s**(-1489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 102 = -2*r. Let j = r - -19. Suppose 8 + 102 = j*w. What are the prime factors of w?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -49, 4 in ascending order.\nAnswer: -49, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 8*h + 160*h**4 - 14*h**2 - 334*h**4 + 179*h**4.\nAnswer: h*(h - 2)*(h + 1)*(5*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.44? (a) -0.3 (b) 5 (c) -25 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*s = 195*s - 108. Solve a + 10 = 13, s*l = 3*a - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32180*i**2 + 51661*i wrt i.\nAnswer: -64360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-527)\/(-434))\/(-17)*(-4 + -48)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479043955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050\/(-3075)*((-54)\/(-75))\/(-6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 17*m + 6*m)*(-2*m**4 + 5*m**4 - 2*m**4).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456532*o**4 - 310937*o wrt o.\nAnswer: 5478384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -150, -145, -142, -141, -142?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 83 = -13*r + 15*r, -20 = 5*r. Suppose -10346 = -q*y + 13029. List the prime factors of y.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s + 34*s + 32*s + 1072 - 69*s - 5299*s**5 wrt s?\nAnswer: -105980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3 - 1. Let h be (-4 - q)\/((-3)\/3) + 1. Suppose -h*r + 1 + 3 = 0, 2*r = 2*b - 10. Calculate the greatest common factor of b and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -2.45741.\nAnswer: 17.20187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -273.4 bigger than -3662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.589 (b) 2\/9 (c) 0.06 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 + 2 = 3*f, 0 = 5*a + 3*f - 19. Suppose -1 = a*h + 3*l, -5*h + 4*l + 17 = -38. What is the smallest common multiple of 11 and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 18*l + 10. Suppose 42 + 57 = -33*g. Let j be f(g). Let t = 5.08 - 5. Is j less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = -4*y. Let f = -1 - y. Suppose 5*c - f - 5 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1340*l**3 - 759*l**3 - 167*l**3 - 2 to the form m*l + n*l**2 + a + t*l**3 and give t.\nAnswer: -2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) - (-32)\/(-30). What is the closest to 1 in -5, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.063155291 to two dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 18, h + 5*n + 0 = -18. Solve -h*a - 37 = -25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:37 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483528*r*t**3 + 7*r*t**2 + 536790*r*t + 5*t**5 wrt t?\nAnswer: 2901168*r + 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 318 = -506. Suppose -q = -11*a - 932. Let o = -60 - a. What is the least common multiple of 16 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 6226?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13735 or 13733?\nAnswer: 13733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - -541?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, 1 x, and 1 w when four letters picked without replacement from qwxkn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -171, -336, -495, -642, -771, -876, -951, -990?\n\"Answer: i**3 - 3*i**2 - 163*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = 1. Let k = 2\/67 - 144\/335. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 7*z + 34. Let f(u) = -u**2 - 1. Let o(y) = -4*f(y) - n(y). Let p be o(10). Suppose p*v = 4*v + 5*k + 88, 2*v = -k - 38. Is -16 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2537.74 and -5.\nAnswer: -12688.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244274.\nAnswer: 2, 3, 29, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3901239, 7802474, 11703699, 15604914?\n\"Answer: -5*k**2 + 3901250*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (69\/42)\/((-6)\/(-7)) and (-5184)\/512*(-2)\/(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2. Let v(f) = -36*f**2 - 21. Let d(s) = 7*s**2 + 4. Let g(u) = -21*d(u) - 4*v(u). What is g(w(i))?\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412234*r - 67 - 31 - 23 + 16 - 412236*r.\nAnswer: -2*r - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 0.625969968?\nAnswer: 3.374030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + a1?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 9*c + 25. What is the tens digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/157 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)*-3 + 5*sqrt(70)*-5)\/((sqrt(10) - -2*sqrt(10))*-4 + sqrt(810)*2).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 + -250 + 37 + (-20 - 0).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3892 + 3923. Suppose 3*j - 2*j - 11 = 0. Calculate the remainder when q is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgbpgzgbg. What is prob of sequence pbbz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - (-9 + -5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3, 4*k - 3*x - 26 = -5*x. Suppose 4*o = 4*r - 3*r - k, 5*r + 3*o = 76. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:32 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 746873 to the power of 1\/2, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/30 + n**5\/30 - 4*n**2. Find the third derivative of d(f) wrt f.\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2679*q + 4 + 2011*q - 2*q + 3 - 2 + 0*q + (-4 + 1 + 4)*(q + 0*q + 4*q).\nAnswer: -665*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 11, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6208 divided by 64\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w. Let l(g) = 216*g**2 + 266*g - 2. Determine k(l(i)).\nAnswer: -648*i**2 - 798*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*4*sqrt(84))\/sqrt(2))\/(1*1*sqrt(6)*5).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a microgram in nanograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-80)*5*(-30)\/9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187972 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4464392 and 164312?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0836 - 0.2164. Let h be 578*-2*(-2)\/(-20). Let j = h - -116. What is the third smallest value in -0.1, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3, -2 in ascending order.\nAnswer: -41, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**2 - 76*z**2 + 34*z**2)*(-6*z**2 - 2*z + 2*z) in the form y*z**2 + i*z**3 + c*z + d + u*z**4 and give u.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - b - 5. Let u(x) = 14*x**2 + 140*x - 42. Give u(s) - 6*y(s).\nAnswer: 2*s**2 + 146*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 10966*k - 86 = -10938*k, 8 - 2 = -2*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.5, 354?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.26, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.356 - 10.484. Let a = -11.4 + 22.2. Let b = w + a. What is the smallest value in b, -0.1, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18740506 (base 9) in base 13?\nAnswer: 1c69614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*p*x**2 - 51*h*p - 19*p**2*x + 69381*p**2 - 638*p*x**2 with respect to x.\nAnswer: 4*h*p*x - 19*p**2 - 1276*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22033, 2\/7, 10 in decreasing order.\nAnswer: 22033, 10, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjjzjccjjjjzj. What is prob of sequence zfc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -73. What is the lowest common multiple of s and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*r**2*w - 27749*r**2 - 3*r*w + 94602*r + 2*w - 3 wrt r.\nAnswer: -48*w - 55498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -304381 less than or equal to -304381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 8. Let p be s - ((-237)\/(-27) - 1). Let v = p + 355\/63. Which is the second biggest value? (a) 0 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.05388 days in weeks?\nAnswer: 39.86484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**6\/w)\/w**(-2))\/(((w*w*w**(-2\/3))\/w)\/w*w**(1\/5)))\/(((w\/(w\/(w\/(w*(w**(-1)\/w*w)\/w)*w)))\/w)**(-3\/38)*(w*w**1)**41) assuming w is positive.\nAnswer: w**(-21197\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3*(-3)\/4. Let h be (5 - p)\/((-3)\/(-4)). Suppose h*w - u = 237, 43 = w - 5*u - 21. Calculate the least common multiple of 10 and w.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 415260.\nAnswer: 2076300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 9610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 664130 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i**4 + 25*i**4 - 93*i**4)*(3 - 6 - 1)*(0 + 0 + 3)*(-1 - 3 - 1)*(-3 + 0 + 0).\nAnswer: 5940*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 12. Suppose 15 = u*q + q. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbfbfbbb. What is prob of sequence bff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -0*k + 154. Is k not equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 230, -338, -1288, -2626, -4358?\n\"Answer: -h**3 - 185*h**2 - 6*h + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91188209353\/1288 + 70798293. Let a = y - 5\/184. What is the common denominator of -71\/10 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/80 - 7*z**5\/60 - 5*z**4\/12 - 2*z**3\/3 + 214*z**2. Suppose m(s) = 0. What is s?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57.9197mg?\nAnswer: 0.0000579197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -675 - -674.7. Let o = -512.2 - -513. Let r = 5 - 3. Which is the closest to o? (a) r (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/(-2 - (-550)\/274). Let h = -125 + b. Solve -12*m - h = -16*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -6. Let n = j + -20. Calculate the lowest common multiple of n and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*k**2 - 178*k + 178*k + 1206*k**2 + 768*k**2.\nAnswer: 1726*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19600)\/(-5))\/(-16)*7\/(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -162. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447125 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 4)*(-2*b + 1 - 1)*(192*b + 75*b + 234*b) as p + s*b + v*b**2 and give v.\nAnswer: -3006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 9*k**2 + 5*k. Let z be a(-9). Let o = 243 + z. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from {a: 2, h: 8, t: 4}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 1. Let t(o) = 19*o - 16. Let h(c) = -10*c + 10. Let x(m) = -6*h(m) - 4*t(m). What is -22*u(k) - 6*x(k)?\nAnswer: 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 3*z + 2. Let r be w(-1). Let s be (-1)\/(-3)*63\/7. What is the third derivative of 2*l**r + 0*l**s - 19*l**2 - 25*l**3 wrt l?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 186, 364, 614, 936?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-155*a - 284*a + 134*a)*(0 + 4 - 2 + 0 + 2 - 3 + (0 - 3 + 1)*(-3 + 2 + 0) - 2 - 2 + 2) as v + t*a and give t.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*j + 32 + 1 = -19, -3*j - 10 = -2*k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 25*x**2 - 75*x + 139. Let f(y) = -4*y**2 + 7*y + 1. Let i(p) = -6*f(p) - u(p). What is i(28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 70200972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036596 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 2*h. Let l be f(-2). Suppose 5*g - 90 = -l. Let x = -36 - -56. What is the lowest common multiple of g and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185482477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 60 = 4*q - 28, 3*q = -3. Solve -10*n = -2*a - 5*n - v, 0 = -2*a - 3*n + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 5*c - 3. Let d be j(-6). Let z = 6 - d. Suppose 3*h = -m + 16, -2*m - z - 1 = -2*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1443274, -2886505, -4329738, -5772973?\n\"Answer: -r**2 - 1443228*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.1. Let y = 27379\/5 + -5522. Let t = y + 46. Is l greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*t**2 + 153*t**2 + 94*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-59*b + 200*b - 54*b)*(2 - 2 + b**3).\nAnswer: 174*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**5\/20 - t**4\/12 + t**2 - 3*t + 2. Let z(j) be the first derivative of x(j). What is z(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2333 + 727. Let v = m + 1531. Does 52 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(-14))\/k**7)**(20\/9))**(-1\/5) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -29. Solve 9 = x + b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*h + 13, 4*h + 19 = 4*j + 3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -4600155?\nAnswer: -1840062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/8)\/((-18)\/(-16) + -1). Let k(j) = -j**3 - 17*j**2 - 18*j - 22. Does 2 divide k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30649 divided by -5?\nAnswer: 30649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.3. Let u = 28 + -21. Sort u, -1, w in decreasing order.\nAnswer: u, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149239 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/((-3)\/(-4)). Let v = 0.098 + -5.098. Let g = -23 + 33. Which is the biggest value? (a) g (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 5, i: 5}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 600*s - 595*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*g + 69 - 174. Let n be 231\/315 - (-10)\/6. Which is the nearest to 1\/5? (a) 4 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13*m = -18*m - 2450, m - 989 = -2*g. Let w = -486 + g. Solve -b - 4*b - z + 14 = 0, -4*b + w = 5*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*5*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1056676*l**2 - 2003185*l.\nAnswer: 2113352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1228 and 3070.\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 4*t - 3. Let f be (-2 - -3)*(1 - -3). What is x(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -58. Suppose 16*r - s*r = -312. Let w = 34 + r. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 + s**3 + 19*s**3 - 10*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 306 = o, -o = 5*x - 187 - 200. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-3 + 6)\/9*4. Let n(a) = -2*a**3 + 15*a**2 + 9*a + 10. List the prime factors of n(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.8 - 10.2. Let m = -97.999999425 - v. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002374 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2422, -4855, -7308, -9787, -12298, -14847?\n\"Answer: -k**3 - 4*k**2 - 2414*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 299907 and -4.5.\nAnswer: -1349581.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.3 + 26.16. Let h(x) = x**2 - 8*x - 2. Let r be h(8). Let o be r\/(-6)*(-36)\/20. Put o, 0, m in descending order.\nAnswer: 0, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 j when four letters picked without replacement from jsssjspssljspsj?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 10 = -5*k, 9 = x - k. Let o = 8 - x. Suppose -g = -12 - o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/7 + 1516*b**4\/7 + 240726*b**3\/7 - 1491064*b**2\/7 + 1266848*b\/7 + 428160 = 0.\nAnswer: -140, -1, 3, 4, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + -3. What is the nearest to 0.1 in 0.1, 0.2, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 - -1055. Let v = 636 - o. Which is the second biggest value? (a) -0.13 (b) -2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -2513, -6078, -11201, -17888, -26145, -35978, -47393?\nAnswer: -60396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*g + 22 = -g, 2*g + 86 = -5*x. What is the units digit of (-3)\/(x\/10*(-12)\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 6*z**3 - 9*z**2 - 12*z + 12.\nAnswer: 3*(z - 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(100)\/sqrt(2))\/sqrt(10) + sqrt(5))**2 - sqrt(125)*6.\nAnswer: -30*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let g(o) = -166*o**2 - 3*o - 6. Let t(u) = -9295*u**2 - 169*u - 338. Let f(l) = 169*g(l) - 3*t(l). Give p(f(a)).\nAnswer: -169*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30320 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: Two letters picked without replacement from kkgjgbgwgwwglgl. Give prob of picking 1 j and 1 l.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3037 and -65?\nAnswer: 197405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - u + 1 + (4 - 5 + 3)*(-2*u + 5*u - 2*u) + u + 3*u - 2*u - u - 6 + 6 + (-2 - 2*u + 2)*(-2 - 2 + 0) + u - 2*u + 0*u - 2*u + 0*u + u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 56 = -56. Suppose 180 = 5*q + 2*j, -q - j - 3*j = -54. Solve -5*o = -3*d - q, -o + f*o = 4*d + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670611444 plus -3195.2?\nAnswer: -670614639.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 8. Let i be (-1)\/w + (-56)\/6. Round i to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 42147?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*o - 17, 3*o = 4*f - 0*o - 32. Suppose f*t = -2*p + 61, 4*p = -2*t - t + 129. Calculate the greatest common divisor of 165 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(sqrt(2916) + sqrt(36) - sqrt(36)))\/(1*sqrt(300)) + -2).\nAnswer: -144*sqrt(3)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/36 - 27\/36. Sort -1\/3, 7, u.\nAnswer: -1\/3, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 times -4265.6?\nAnswer: 3190668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -311?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41579, 41272, 40965?\n\"Answer: -307*i + 41886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - 0)*1)\/(-1). Suppose -m*n = -5*i, 2*i + 0*n = 2*n - 4. Suppose -i*t = t - 56. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -149.0135. Let z = 0.01349417 + j. What is z rounded to 7 dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -o + 3, 12 = 3*o + 2*k + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 607638616*a\/7 + 46153085956799432\/7.\nAnswer: 2*(a + 151909654)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641595185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -7*p**5\/20 + 5*p**4\/12 - 3*p**2\/2 + 121*p. Let l(m) = -20*m**3 + 14*m**2 - 8. Let v = -25 - -11. Give v*t(x) + 5*l(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4180 and 101\/40?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/12 - 10\/60. Let u(w) be the third derivative of -1\/30*w**5 - 3*w**v + 1\/105*w**7 + 0 + 0*w + 1\/60*w**6 - 1\/12*w**4 + 0*w**3. Factor u(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-62)\/(-2) + 148 + -157. Solve g + 25 = b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 15 = 29*u, 0 = 3*a + 2*u - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102694 by 16.\nAnswer: -51347\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66016087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19171434 to the power of 1\/2, to the nearest integer?\nAnswer: 4379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 563720 and 35.\nAnswer: 3946040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88468438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - fe?\nAnswer: -ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17765 - -12113040.2.\nAnswer: 12130805.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 91 = -4*w, 13 = g + w + 2*w. Let v = g - 16. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 4.06 (c) 1\/94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103400 - -362?\nAnswer: -103005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -380*g**3 + 194*g**3 + 1 + g**4 + 195*g**3 to c*g**2 + m*g**3 + q*g + k*g**4 + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001809538085 rounded to seven dps?\nAnswer: -0.0018095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -x + 3*g, -17*x + 0*g + 2*g + 4*g - 114 = 31*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 37*c = -102. What is the remainder when 46 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(1 + (-12)\/3). Let m be 4 + f + (-5 - -9). Sort m, 9, 2, 1 in decreasing order.\nAnswer: 9, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) -8 (b) 305.22 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = 2*n - 38, -24 = -2*z + 4*n. Suppose 3*x = g + 17, -3*g - 35 = -6*x + x. Solve -x*o - z = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -105596.8519.\nAnswer: 105592.8519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/20)\/(-5 - 2584\/(-520)). What is the highest common divisor of 42 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3168, 12686, 28558, 50790, 79388?\nAnswer: 114358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196261, 392583, 588905, 785227, 981549, 1177871?\nAnswer: 1374193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15641500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228 - 4*s + 11*s - 1228.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67493 is divided by 2244?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.043 - -2.743. Let t = l - 3.1. Suppose 0*i + i = -i. Which is the closest to i? (a) -0.1 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 906599, 1813127, 2719655, 3626183, 4532711?\nAnswer: 5439239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*w + 4 = 24 - 12, -w + 35 - 11 = g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 77*x + 11. What is the remainder when 5\/(15\/474) + 1 is divided by v(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 17*c + 11. Let z be d(12). Suppose -5*g + z - 6 = 0. Solve 4*a + 1 = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 10. Find the first derivative of 2*h**2 + h**j + 3*h**4 - 3*h**2 + 2 wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-30))\/11 + (-7)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 106*d**2 + 3*d - 1. Let n be h(1). Let r = n + -114. What is the units digit of 1 + 158 + (-2 - r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2309 and -4.\nAnswer: -2.7691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 13*u = -92. Let j = 110 + u. Suppose -x = 5*o - 4*o - 39, 2*x = -5*o + 180. Calculate the remainder when o is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*990\/(-55).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 241, 637, 1191?\n\"Answer: 79*j**2 + j - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:17 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018559315 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -102*j + 42. Let f(r) = -12*r + 5. What is -5*b(l) + 42*f(l)?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251711, -251712, -251715, -251720, -251727?\nAnswer: -251736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 + -338. What is the closest to -1 in n, -2\/35, 2\/7, -4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*u - 235994, -87066 - 148924 = -2*u + 5*c. What is u rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*j - 347*j + 279*j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogyp when four letters picked without replacement from pgyopy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Solve 6*b - u*b = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507924, 1015852, 1523782, 2031714, 2539648?\nAnswer: 3047584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 814693617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*a**4 + 16*a**4 + 66*a**3 - 25 + 2*a**4 wrt a?\nAnswer: -8*a**3 + 198*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1004 and 0.013565.\nAnswer: 13.61926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1098.2 - -1098.3. What is the third biggest value in -0.1, -2\/41, 0.2, -4\/7, u?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-14 + -1) - -4. Solve -5*v = -b - 2*b + p, 3*b - 4*v = 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, 0.2, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917378 and 922817.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37 - ((84 - (59 - 28)) + -17)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651987.\nAnswer: 3, 1217329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37461869411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 4, k: 1, f: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101 (base 2) in base 11?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - ((14 - 6 - -3 - (9 - 4)) + -1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/295, 4\/7, -80, -0.3 in ascending order.\nAnswer: -80, -0.3, -0.1, -1\/295, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -82. Let w = t - -42. Solve 2*u - 5 = 2*v - w*v, 6 = 2*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 3*r**2 + 3*r + 1. Let d be n(-2). Is d greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/195 + (-128)\/42 + 2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3312 and 2367436.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 3*c**3 + 2*c**3)*(-2 + 4*c**2 + 2) + (0 + 0 - 2*c**3)*(-4 - 3*c**2 + 4).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t - 142. Calculate the remainder when m(10) is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:54 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + 8*m**2 + 74*m - 1452. Give p(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/((((m*m*m**(3\/5))\/m)\/m)\/m*m)*m)\/m*m**(-2\/21))\/(m**(-3\/7))**(7\/8) assuming m is positive.\nAnswer: m**(2251\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 23823*k - 23826.\nAnswer: 3*(k - 1)*(k + 7942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 1028*p + 9200. What is t(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5358862720?\nAnswer: 2, 5, 8373223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -59 + -53 + 7?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 159 = 3*i, -4*i = 3*u - 79 - 81. Calculate the remainder when u is divided by (2\/2)\/((-2)\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 1\/4, -0.9, 4, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5 - 3. Let x(q) = -6*q. Let d(w) = -21*w. Let y(r) = -5*d(r) + 18*x(r). Let o be y(-1). Solve -z*a - o = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161.6 - 1019.6. Let g = w - -864. Which is the nearest to 1? (a) g (b) 2\/5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*q - 4*t - 16, 0 = 5*q + 3*t + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**2 - g - 2*g + 4*g**2 + (-1 + 2*g**2 + 1)*(-1 - 3 + 2 - 2 + 4 + 0 + (-1 + 3 - 3)*(1 - 1 + 2) - 3 - 1 + 3 - 2 - 1 + 4 + 0 - 2 - 4 + 0 - 2 + 5).\nAnswer: -12*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/24 + f**5\/10 - 5*f**3\/6 + 75*f**2 - 2*f. Find the third derivative of a(p) wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, -84, -185, -270, -333, -368?\n\"Answer: p**3 - p**2 - 115*p + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 351.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, 1 r, and 1 f when four letters picked without replacement from ffrylrrlfr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or -142?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-3)\/9*-1. Let c(r) = r**3 + 5*r**2 - 5*r + 1. Let q be c(-4). Let h be -2 - (0 - 1)*q. Solve 0 = -3*o - 4*g - h, 2*o + z*o - 4*g - 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 1. Let q(v) = 30 + 3*v - 2 - 24. Let l(k) = k**2 - 4*k - 6. Let i be l(5). Let u(b) = i*q(b) - 4*f(b). Let z(m) = 6*m**2. Give z(u(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6878178869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3149042.988 rounded to the nearest 1000?\nAnswer: -3149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -155670, -7 in increasing order.\nAnswer: -155670, -7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72417 is divided by 6133?\nAnswer: 4954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/46*5\/((-1120)\/736).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 8. Calculate the remainder when (-1 + 4)\/(3\/22) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0365, -0.3, 3\/4, 0.2 in descending order.\nAnswer: 3\/4, 0.2, -0.0365, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 3. Let v(c) = -3 + 3 - 6 + 13*c. Suppose 33 = 12*a - 15. Calculate a*v(w) + 9*t(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 11518971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -1.082\nAnswer: 44.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26724 divided by -6681.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 209538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52598429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/2 + 150*s**2 + 3115*s\/2 - 19110.\nAnswer: 5*(s - 7)*(s + 28)*(s + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124500.6 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from {m: 5, p: 4, x: 5}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -110.75. Let j = x + 3.75. What is the fourth biggest value in j, 0.3, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-9))\/(-25 + 2007\/81). Let i = -1.13 - -0.13. Sort 1\/2, i, a, -0.8 in increasing order.\nAnswer: a, i, -0.8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238447 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51*413\/(-16048)*(-4)\/98\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/20)\/(-5)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -5. Let f(u) = -25*u - 17. Let s(d) = 23*d + 18. Let n(c) = 5*f(c) + 6*s(c). Let b(k) = -5*k - 8. Let r(i) = 8*b(i) + 3*n(i). What is r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 12*w + 4. Let j be m(13). Let z(b) = -5*b**2 + 3*b**2 - 6 + 8*b + 3*b**2. What is the units digit of z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1708197 or -1708195?\nAnswer: -1708195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 28. Let z be 12\/90*3*(-10)\/(-2). Solve z*x + 8 = -3*h, -v*h - 5 = 3*x + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -6778084\nAnswer: 33\/6778084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -8 - (48 + -33)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -76, -113?\n\"Answer: -37*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/210*42\/(-35).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*o - 71*o = 0, 3*o - 23 = 4*b - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/12)*a)\/(a**0*a)*(a**(-2))**33 assuming a is positive.\nAnswer: a**(-781\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/186911363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a minute in seconds?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 628714844 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:16 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 27*t**2 + t - 22. Let n be o(27). Suppose -a = 2*g - 2*a + 8, 2*g + 8 = -n*a. What is the biggest value in -0.2, g, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958185 is divided by 1583?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:07 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xaxxaanxonaxxnaox.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 25*s - 214. Let z be p(11). What is the second derivative of 8*i**2 - z*i**3 + 0*i**2 - 61*i**4 - 1 + 61*i**3 + 6*i - 7*i**2 wrt i?\nAnswer: -732*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579230?\nAnswer: 2, 5, 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22036 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/2016 - x**7\/1260 - 6*x**2. Solve y(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - m**2\/3 + 8*m\/3 + 16\/3.\nAnswer: -(m - 4)*(m + 2)*(m + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2404*o - 3341*o + 2085*o)*(3*o + 3*o - 8*o).\nAnswer: -2296*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 21 = 5*d, -l = 4*d - 15 - 7. Let v = l - 0. Factor 1\/5 - 1\/5*t**v + 1\/5*t**3 - 1\/5*t.\nAnswer: (t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/(4\/112*-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y + y - 3*y. Let b(a) = 604 + 638 - 34*a - 1242. Give b(j(u)).\nAnswer: 68*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186115 is divided by 644.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 - -157. Suppose 4*c = 5 + 11. Calculate the greatest common divisor of m and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - s - s - s + s + 2*s + (2*s + 2 - 2)*(3 - 6 + 1) + 1 - 1 - 2*s - s - 4 + 4 + (-3 + 0 + 1)*(-364*s + 653*s + 433*s) as g + z*s and give z.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19786352?\nAnswer: 2, 29, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 136*p\/3.\nAnswer: p*(p - 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2121212120220?\nAnswer: -2121212121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14892226 and 67015017.\nAnswer: 134030034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -422343672 and 2.124?\nAnswer: 422343674.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 883695826 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 15*x. Let v be s(-5). Let h(w) = -7 - 30*w + v + 28*w. Determine h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -727 (b) -5 (c) 24 (d) 0.4 (e) 0.1 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.8 - -8.8. Which is smaller: m or -3.72?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 762, 1905, 5102, 11409, 21882, 37577, 59550, 88857?\n\"Answer: 176*x**3 - 29*x**2 - 2*x + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 31, 24, -1, -50, -129, -244, -401?\n\"Answer: -o**3 + 12*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 36 + 16*l in the form v*l + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + (sqrt(96) + -3*sqrt(96) + sqrt(96))\/sqrt(8) - sqrt(72)\/(sqrt(42)\/sqrt(7))) + -1)**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -26 - (-403 - -430).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493, -1827, -4085, -7261, -11349?\nAnswer: -16343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23368 - 3425. Suppose -a - p - 9245 = -5*k, -k + 5834 = a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 6*u**2 - 5 - 1\/150*u**5 + 13\/15*u**3 + 0*u - 1\/5*u**4. Suppose r(b) = 0. What is b?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:09 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 39971328.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/24)\/(159\/(-1590))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 + 268. Let s be p\/(-10)*4\/((-96)\/(-30)). What is the third biggest value in s, 0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5268*f**2 + 361*f - 5267*f**2 + 18*f.\nAnswer: f**2 + 379*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18) - (70840\/(-1008))\/115.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - 119?\nAnswer: -e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 467, 1057, 1873, 2909, 4159, 5617?\nAnswer: 7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.7 + -3.7. Let s = 11 - m. Let h = -18.999966 - s. Round h to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1503364 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Suppose 3*o + 9 = y*z, 10 = -3*z + 5*z - 4*o. Solve -f - 4*h + 13 = 1, z*f + 3*h = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -1\/2, 16, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - r - 1 = 0, 0 = -5*y - 142*r + 147*r + 65 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-350*(-4)\/(-4))\/((-1)\/(-10)). Let l be 19\/(95\/r)*4. Round l to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from pppoppppoppp?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -753*j**5\/20 - j**3\/3 - 733*j**2\/2 - 1253*j. Differentiate n(l) wrt l.\nAnswer: -2259*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 582*x**5 + 1293*x**3 - 14535*x**2 + 6 wrt x?\nAnswer: 34920*x**2 + 7758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 112, -0.3886, 0.2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 31. Let w be o\/(-25)*6\/8. Let x = 114 + -109. Put w, x, 0.3, -3 in increasing order.\nAnswer: -3, w, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42 = c, u + 3*c = -3*u + 26. Suppose u = -3*a + 7*a. Let b be (0 - 1) + (-6)\/(-1). Sort -2\/7, a, b in descending order.\nAnswer: b, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 v when three letters picked without replacement from vbvppkvvvp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/36*(-12)\/14. Factor 2\/7 + 12\/7*u**2 - 8\/7*u + b*u**4 - 8\/7*u**3.\nAnswer: 2*(u - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211371 is divided by 68297.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -1. Let k = -4 - g. Suppose -4*n - 11 - 17 = -2*q, k*n = 2*q - 33. Solve 0 + q = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 times -2?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35322555 + -39.34\nAnswer: 35322515.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4532*l + 9 = 4535*l. Solve 3*c + 5 = -2*b, -20 = -b + 5*c - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2025\/16875*25\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 3*f**3 - 3*f**3 + 0*f**2 + 0*f**2 - f**3 + (3 - 2 + 2)*(-f**2 + f**3 + f**2).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 852. Let r(f) be the second derivative of f**4\/12 + 2*f + 2391. What is r(x(y))?\nAnswer: 9*y**2 - 5112*y + 725904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6369*z - 15151*z + 4*z**2 + 286*z**4 + 4*z**3 - 6*z**2 - 929*z**4 wrt z?\nAnswer: -7716*z**2 + 24*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/12 + 22\/(-33))*-12. Solve 3*t + 5*o - 6*o = -2, 3*o - d = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 11*v - 48. Suppose -v = -w + 10. Solve -3*k = w - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/15 - 508*u**4\/15 - 286*u**3\/5 + 12744*u**2\/5 + 36288*u\/5 = 0.\nAnswer: -252, -8, -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-10) - (-21)\/35. Suppose -8 = -3*j + 5*h, -2*j - i*h - 12 = -4*j. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3227 + 3228. Which is the closest to f? (a) -2 (b) -4\/5 (c) 0 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 25 = -3*k. Put -1, -3, k in decreasing order.\nAnswer: -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 19916.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Let f be (4\/3 - 16\/12)\/3. Solve f*d - 3*d - y = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = -12700 + 52237 + 54990. What is the least common multiple of 778 and s?\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 744 (c) 25 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d + 3. Let h(u) = -20*u - 4. Let n(w) = -2*h(w) - 3*l(w). Let m(f) = -5. Give -m(v) - 2*n(v).\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 34*q**2 + 7*q + 32. List the prime factors of a(-5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 22\/3, -8, -3, 2\/9, -0.2 in decreasing order.\nAnswer: 25, 22\/3, 2\/9, -0.2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let i(l) = 2*l. Let f(p) = -20*p + 6. Let w(j) = 20*j - 5. Let v(q) = 5*f(q) + 6*w(q). Let o(t) = 6*i(t) + 2*v(t). Determine o(y(u)).\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478133 is divided by 264?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758 a factor of 564753462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -67, 1, -0.01, -0.3, -1.055, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/8 - 15*o**2\/8 - 9*o\/8 + 27\/8.\nAnswer: -3*(o - 1)*(o + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -4 (b) -5 (c) 6 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403 + -286. Let v = r - 61. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17330 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1032332414?\nAnswer: 1032332422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/37)\/(d*d*d*d\/((d**(-7\/5)\/d)\/d)*d))**(-39) assuming d is positive.\nAnswer: d**(60216\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33*(-25)\/(-550)*17\/(51\/52)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 3\/2*r**3 - 6*r + 1\/2*r**4 - r**2.\nAnswer: (r - 2)*(r + 1)*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 2, -16, -5.\nAnswer: -16, -5, -2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065634099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 172. Let u be r(-28). Let c be u\/(-54) - (-9513)\/13608. Factor 1\/8*k**2 - 3\/4 + c*k.\nAnswer: (k - 1)*(k + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -g + 156 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -k - 2*b, 0 = 191976*k - 191974*k + 5*b - 46 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 20. Let k be (-22)\/55 + 56\/c. What is the units digit of ((-51)\/k)\/(4\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 16*u + 318\/7.\nAnswer: 2*(u - 53)*(u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170\/1141 - -1\/163. Suppose 7 = -5*z - 4*j, 3*j - 12 = 7*j. Sort p, z, 0.1 in ascending order.\nAnswer: p, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y - 7. Determine q(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z + 2*z**4 - 31*z + 52*z**2 + 14*z + 14*z**2 - 2 to b*z**4 + i + t*z + k*z**2 + l*z**3 and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y\/(y**16\/y))\/y)\/(((y**20\/y*y)\/y*y)\/y)*(y**(-3)\/y)\/((y*y**47)\/y))**5 assuming y is positive.\nAnswer: y**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Let r(c) = 4. Let a(f) = -r(f) - 2*z(f). Let s(v) = -v + 7. Let t(p) = -6*a(p) - 4*s(p). What is t(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7964 - -7965.7. Is v bigger than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7518202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001000101 + -1?\nAnswer: -10111001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 531500 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3264)\/sqrt(3) + sqrt(17) + -2 + sqrt(51)\/sqrt(3))*4)**2.\nAnswer: -640*sqrt(17) + 27264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-72)*(-4 + -1 - -3). Let u = d - 1\/18. What is the third smallest value in u, 0.2, 21\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 382 + -377. Solve -3*x - x + 12 = -i, j*i + 22 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:50 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -22*c + 60. Let z be 0 + (1 - 0) + 6. Suppose -2*l - z - 1 = 0. Sort l, c, -2.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01042220044 to 6 decimal places.\nAnswer: -0.010422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 + 0*x**2 - 8*x**2 - 6 + 2*x**2 - 2*x - x**3. Let i be h(-5). Let c = i + 34. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*l*p**2 - 2*l*p + 278740*l - 163911786*p**2 wrt l.\nAnswer: 13*p**2 - 2*p + 278740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.1. Let v = -0.332 - -0.732. Which is the smallest value? (a) v (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 2, t: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(6*-1*sqrt(88) + 5*sqrt(88)*-2 + sqrt(88)))\/((sqrt(224)\/sqrt(4)*-4)\/(sqrt(28)*-4))*-4)**2.\nAnswer: 1425600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -325 (b) 1.12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.61. Let y = r + -0.19. Let p = -0.3 - -2.3. Which is the third smallest value? (a) y (b) -3\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/29336 and 17\/856920?\nAnswer: 16281480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 s when three letters picked without replacement from mmswwessmw?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103\/36 - 17\/6. Suppose -2*x + j = 145, 2*x - 20*j = -25*j - 175. Let v = x + 75. Which is greater: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50505 <= 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3823 (b) -1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23712 - 23712.4. Put x, 30, 1, 0.4 in descending order.\nAnswer: 30, 1, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -4*u - 3\/2*u**2 - 1\/20*u**5 - 1\/6*u**3 - 1\/4*u**4 - 6. Let n(b) be the first derivative of g(b). Determine n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -55315, 6 in decreasing order.\nAnswer: 6, -6, -55315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36946775?\nAnswer: 5, 1477871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0285222277016 and -7.\nAnswer: -7.0285222277016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/28963698 and 157\/67422.\nAnswer: 492382866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-189)*3*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(162)*5)\/sqrt(9) + (sqrt(200) + (sqrt(200) - (sqrt(200) + 1 - sqrt(200)) - sqrt(200)))**2 + sqrt(6)\/sqrt(3) + -2.\nAnswer: -34*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*u + 15*u - 25*u + (3*u - 5*u + 4*u)*(2 + 4 - 4) - 2 + u + 2 + 2*u + u - u - 3*u + 5*u - u + 0*u + 0*u + 2*u in the form t*u + a and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*p**2 + 197*p**2 - 49*p**3.\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26529*n - 2720 = 26524*n. Is n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1947, 1984, 2067, 2214, 2443, 2772?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 9 = -63 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 475, 952, 1429?\n\"Answer: 477*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2.\nAnswer: 3*(a - 3)**2*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r*r\/(r\/r**(-4\/7)))\/r)*r)**(1\/18))**(-3\/5) assuming r is positive.\nAnswer: r**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by -8\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7394.000004337 + 7394. Round v to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369722, 369799, 369876, 369953, 370030, 370107?\nAnswer: 370184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.4592232 rounded to two dps?\nAnswer: 51.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*a, 0*a + 2*a + 24 = -4*c. Let p be 32\/4*(a - 0). Let h be 0 + 250000 + (p - -16). What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*m**4 + 2*m**3 - 209*m**2 wrt m?\nAnswer: -480*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6 - 10 - 52*c**2 + 18*c**2.\nAnswer: -34*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602846, -1205700, -1808554?\nAnswer: -2411408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5.3, -0.5, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5. Let t(r) = r**2 + 6. Let b(z) = -6*s(z) - 5*t(z). Let d(o) = 25*o - 30*o + 34*o. Calculate d(b(m)).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(1\/6). Suppose -2*k + 30 = p - 0*p, i*k + 5*p - 46 = 0. Suppose -k - 23 = -4*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. What is the first derivative of -y*r - 3*r + 4 + 6*r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-4\/3))\/d**(-14)*(d**(-1\/8)\/d)**(-1\/20) assuming d is positive.\nAnswer: d**(7067\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302902962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*w**2\/2 - 17911*w\/2 - 726.\nAnswer: -(w + 484)*(37*w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 2*c**5 - c**5 + (-c**2 - 2*c**3 + c**2)*(-4*c**2 - 3 + 3).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let j(t) = -t**2 - 10*t + 6. Let w be j(-11). Let x(o) = -o**3 - 7*o**2 - 6*o + 1. Let l be x(-6). Sort l, w, h in decreasing order.\nAnswer: h, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 95879704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -76?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117561 is divided by 912?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, b: 1, x: 2, i: 2}. Give prob of picking 1 b and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 9 + 15 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325406 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -168067*-2\nAnswer: 336134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1000 or 1002?\nAnswer: 1000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.25 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 12*z + 54960 = 0. Factor 2*f**2 + 3*f**3 + 2*f**2 - 5493*f + z*f - 8 - 10 + 8*f**2.\nAnswer: 3*(f - 1)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2 - sqrt(91) - sqrt(91))*-5)\/(sqrt(7) - sqrt(252)*2) + (sqrt(39)\/(sqrt(3) + sqrt(18)\/sqrt(6)) - (3*sqrt(1053) - sqrt(1053))).\nAnswer: -35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 444*o**3 + 227*o**5 + 440*o**3 + 1372*o + 6 - 11 wrt o?\nAnswer: 4540*o**3 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1797621 + -1797618. Determine g so that 10 - 44*g + 37\/5*g**c - 9\/10*g**4 - 61\/10*g**2 = 0.\nAnswer: -2, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 20 = -5*i, -3*i + 30 = -6*z + 3*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144615469 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/2 - (-6)\/(-2). Is 9 a factor of (-8 - k) + 36\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 27363648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 - 198*n + 195 = 0.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 299*s - 873. Calculate y(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 11*n + 2. Let x be l(11). Let t = 425 + -405. Solve x*c - 6*c = -t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 3*o**2 + o + 3. Let t be z(3). Suppose 0 = s - 4*v - 3, 5*s + v - 9 = t. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2284, 2093, 1902, 1711, 1520?\n\"Answer: -191*h + 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1780\/(-197580))\/((-2)\/12 + (-2)\/(-4)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7a195 (base 15) in base 10?\nAnswer: -10260365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/((-105)\/(-378)*44\/(-55))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13.3*2\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/23))\/q**1)**14\/((q**(-1\/3))**9)**9 assuming q is positive.\nAnswer: q**(649\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 11:15 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 12290\nAnswer: -49\/12290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 at least as big as -519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 46, 83, 144, 235, 362, 531?\n\"Answer: v**3 + 3*v**2 + 3*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123863390173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 0 - (-44 + 53 + -24 + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 12920 = -78*n - 75*n. Calculate the greatest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**4 + 10*r - 10*r)*(-12*r - r - 7*r) + (3 - 1 - 4)*(-3*r**4 + 3*r**4 - r**5).\nAnswer: -138*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-11 - (-22 + 9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -564 - -564.2. What is the nearest to -0.1 in 9, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/((-2)\/(-10)). Let q(y) = -y**2 - 4*y - 13. Let o(i) = 2*i + 6. Let b(u) = -9*o(u) - 4*q(u). List the prime factors of b(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -14.5, -2\/3, -10, 1, 11.5, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 7. Let o be f(5). Suppose 0*l - 4*l = 4*w + 16, -o*w + 12 = -2*l. Let g(j) = -5*j**2 + j. Calculate g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -7 (c) 1332 (d) -20\/267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/5 (b) 0 (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*5.4.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (214\/(-535))\/((-1)\/(-2)*1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22233 is divided by 10290?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-35)\/28)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -343, -323, -305, -289, -275, -263, -253?\n\"Answer: -p**2 + 23*p - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32149 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92600 and 1050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 14584 = 2*p. Let g = p - 8709. Let v = g - 3375. Round v to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**6\/720 - a**5\/120 + a**4\/48 - a**3\/3 + 1. Let k(g) be the third derivative of j(g). Factor k(y).\nAnswer: (y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyopyee. What is prob of picking 2 y and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = 0, 4*t + 5*x = 3*t - 10. Suppose -t = -4*m + 29. What is the remainder when 19 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.027 - 68. What is t rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/(60\/63 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a - 2. Let l(i) = -10*i**2 - i - 20. What is 2*f(k) - l(k)?\nAnswer: 8*k**2 - k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a5b90 (base 12) to base 3\nAnswer: 102001121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 14, 28, 48, 74?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0187*277826.\nAnswer: 5195.3462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, 1\/6, 67 in decreasing order.\nAnswer: 67, 1\/6, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 79, 85, 95, 109, 127?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/23 (b) 6\/31 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 15 (c) -0.02 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(12)\/sqrt(3)) + 3.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.5 and -6?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6991.42 and -0.014?\nAnswer: 97.87988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 163 in -0.8, -2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 2*b - 2*b)*(2*b - 3 + 3) + b**2 - 3*b**2 + 4*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11056, 22188, 33370, 44626, 55980, 67456, 79078, 90870?\n\"Answer: 4*n**3 + n**2 + 11101*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 33*c - 2. Let k(z) = -7465*z + 7128. Let p(y) = -k(y) - 6*u(y). Differentiate p(i) wrt i.\nAnswer: 7267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times -68760?\nAnswer: -12376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {l: 1, s: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = -2*g, -4*g + 12*b - 7*b = 9 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -28, -45, -64?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000538655 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + r + 8*r**3 + 7*r**3 - 16*r**3)*(0 + 0 + 5*r) in the form c*r**2 + g*r + k*r**3 + j + t*r**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 240*n**2. Let o(i) = -3*i**2 - 3*i**2 + 4*i**2 + 4*i**2. Calculate g(o(m)).\nAnswer: 960*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 - -412. Suppose 4*u + p*t = 29*t - 22519992, u = 3*t - 5629994. What is u rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*f**3 + 998 with respect to f.\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1563420 and 616635?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 352*p + 583*p - 926*p + 29. Give i(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 51512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-5 + (5 + 1 - -3)). Let k be (28 + -29)\/(23\/j). Suppose k*p + 0 + 2\/23*p**2 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*f - 5686, -6*p + 14241 = -p + f. List the prime factors of p.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-32)*546\/197379\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 47. Suppose 19 = 4*x - g. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21303282, 42606566, 63909850, 85213134?\n\"Answer: 21303284*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10152*g**3*o**3 - 229*g**3*o + 7*g**2 - g*o**2 + 2*o wrt o.\nAnswer: 60912*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 0.5 (b) 0.0501 (c) 22 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006650 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {l: 4, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33116, 33115, 33114?\nAnswer: 33113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23360 divided by 4672\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510364.4 centuries to months.\nAnswer: 612437280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035.2 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, e: 1, k: 1, n: 2, s: 1}. What is prob of sequence in?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*a - 10 = 0, -2*g = 4*a - 8 - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2145 - -2152. Let m(c) be the third derivative of 0*c**3 + 1\/30*c**6 - 1\/105*c**s + 0*c**4 + 0 - 1\/30*c**5 + 0*c + c**2. What is k in m(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5011944 - -1152056. What is g rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9)*(-18)\/(-4). Solve 0 = n*x - 0*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8336\/91 smaller than 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15753 + 740. List the prime factors of p.\nAnswer: 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9565173?\nAnswer: 3, 1062797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 less than 0.0403?\nAnswer: -2.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9)\/n*n\/(n\/((n**(-6)\/n*n)\/n)))**(4\/13) assuming n is positive.\nAnswer: n**(-284\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1763465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1\/3*h**3 - 274 - 2*h + 0*h**2 - 93\/2*h**4. Find the third derivative of n(f) wrt f.\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9*3)\/(5*(-156)\/25740).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*w - 543*w + 52 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = -24. Suppose -2*y - 2*y + 31 = 5*c, -2*c = 2*y - 12. Suppose c + 11 = 9*s. What is the highest common divisor of o and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-10))\/((-3)\/(-12)). Suppose -c*j - 2*j = 1536. Let i = j - -653. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.45142 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.8, -5, -1 in ascending order.\nAnswer: -5, -1, 2\/7, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (0\/2 + 2). Let o = v - 14. Let i(h) = 2*h + 7. Let x(c) = 1. Let s(r) = -i(r) + 6*x(r). What is s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14333133.999987 + 14333119. Let n = -0.3 + 15.3. Let j = n + c. What is j rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1411606*c**2 - 189333 wrt c?\nAnswer: -2823212*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62867 < 62868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from masddsrndrnrnaa. Give prob of sequence ada.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 5. Suppose 4*s - 6 = 6. Let w be o(s). Let x(q) be the second derivative of -q**3\/3 - q**2\/2 - 44*q. Give x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m + 9. Let p be i(6). Solve -17*d = -20*d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 1. Let u be -2*(28\/8)\/1. Let p(y) = 6*y**3 - 1. Let o(v) = u*r(v) - 3*p(v). Differentiate o(h) with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -0.3, -1\/3, 0.5 in ascending order.\nAnswer: -39, -1\/3, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-7)\/(-3). Let n be 1998\/8 - 5\/(-4). Suppose 0 = -u*b - n + 1471. Round b to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -26. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 16 = -5*l + 4*v, -3*v + 33 = 3*l. Solve 0*r - 3*q - l = 2*r, q = -4*r - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129782 < -129777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27686 - 16551. List the prime factors of d.\nAnswer: 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155634 and 33?\nAnswer: 1711974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 79 = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 17. Suppose 0 = -5*g + 30 + 15. Let x be b(g). What is the remainder when (-2 + 1)*(x + -7) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 372 - 1156. Let t = 107 + m. Which is the third smallest value? (a) 1 (b) t (c) 2\/11 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61 and 59.\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, d: 1, g: 3, p: 9}. Give prob of picking 2 p.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*o = -58*o - 955321. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10190 + 10194. Solve 0 = -v*g - 8, -3*g + 8*g = -h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1806 and 29\/1155.\nAnswer: 99330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = 170*d - 1183 - 473 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*l - 8*l - 2943, -l = m - 585. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 9. Let s = 67 - 46. Let n = b - s. Is 0.1 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)*m)\/m**(-1\/3))\/(m\/m**(-1\/2))**(1\/30)*(m**(-3)\/(m\/((m\/(m*(m**6\/m)\/m))\/m*m)))\/(m**(-1\/2)\/m*m)**(-3\/8) assuming m is positive.\nAnswer: m**(-1597\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*n + 5*a - 76, a + 213 = 5*n. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -669.\nAnswer: -669, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 1409, 1408, 1407, 1406?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (405*-1)\/5 - -3. Suppose 3*b + 0*a = -a + 4, a = b. Let h = b - r. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, -1.4, -1 in increasing order.\nAnswer: -29, -4, -1.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 3*i**2 - 3*i**2)*(-7041*i - 9323*i + 24071*i + 26484*i).\nAnswer: 68382*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0 + 2\/3*s**3 + s**2 + 2*s - 1\/12*s**4. Determine w(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 6) to base 9.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -0.06857?\nAnswer: -0.0047999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/20 - r**4\/2 + 2*r**3\/3 - 3*r**2\/2 - 3*r - 16. Let w be 4\/24 + (-14)\/12. Let g be w\/(-3)*(1 + 5). Calculate i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -6988, 0.06 in decreasing order.\nAnswer: 0.06, -0.04, -6988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0220165 to 4 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -437, -798, -1147, -1478, -1785, -2062, -2303, -2502?\n\"Answer: m**3 - 368*m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 636 and 325835436.2.\nAnswer: 325836072.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41569 is divided by 13396.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 6.3621 (c) 1 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*x - 434 wrt x.\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30404794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (-7560)\/(-90) - -67?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215\/7 - 31. Let o(r) = -r**2 + 11*r + 3. Let a be o(11). Let q be 9*1*a\/(-9). What is the nearest to m in q, -1\/7, -5\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -34. What is the remainder when -212*(-30)\/40 + -21 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*l**2 - l**3 - 120*l**2 - 131*l**2 + 17 - 19 as w + o*l**2 + u*l + b*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 3, g: 3, n: 3, y: 1, h: 2}. Give prob of sequence rny.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -42. Suppose -2*u + 5*j = 3 - 1, -u - o*j = -14. Suppose 2112342 = -u*d + 82512342. Round d to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, b: 2, x: 2}. What is prob of sequence sx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201212 (base 3) to base 13.\nAnswer: -2309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.367 (c) 2\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-396)\/88.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:28 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.4 (c) 39.7 (d) 2\/11 (e) -0.1 (f) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**2 + 0*x + 3\/28*x**4 - 4 + 3\/35*x**5 + 1\/21*x**3 + 1\/42*x**6. Factor n(b).\nAnswer: b**2*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + 44*q + 11. Let x be l(14). Suppose -x*z = -44*z. Factor -3\/5*f + z + 3\/5*f**2.\nAnswer: 3*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87153.\nAnswer: 3, 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (4 - (0 + 2)). Suppose 3*q - 22 = -0*q + i, 11 = -q + 4*i. Suppose -q*v = -j*v. Solve 0 = 3*g - 9 - v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9971559 and 5.87?\nAnswer: 9971564.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.007373?\nAnswer: -0.0036865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 44 = 42. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 - 9*p**2 - 1046 + 346 + 348.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/802, -0.4 in descending order.\nAnswer: -1\/802, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30805634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*((-2)\/(-4) - 81\/90). What is the lowest common multiple of 16 and (-80)\/15*3\/i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**2 - 5*u**2)*(1 + 1 - 4) - u**2 + u**2 - u**2 + (0*u - 4*u + 2*u)*(u - 1 + 1).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(200).\nAnswer: -30*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 - 5*k**3 + 2*k**3)*(-9 + 9 - k**2 - 2*k).\nAnswer: 7*k**5 + 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10015*w - 20020. Calculate x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*o, 2*o + 0 = -x + 9. Let p be -2*79\/(-3) + (-2)\/o. Which is bigger: p or 50?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t + 1. Let q(a) = 59*a**4 + 30*a**2 + a - 2. Let o = -126 + 124. Let g(l) = o*d(l) - q(l). Find the third derivative of g(f) wrt f.\nAnswer: -1416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131113 + -1?\nAnswer: -131114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyo when three letters picked without replacement from ooywowoy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*o + 2*o. Let d(i) = 1 + o + 3 + 4*i + i**2. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((416\/(-396))\/(-8) - (-2)\/22)*(-15)\/(-20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538393503 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 20960*a**3\/7 - 83838*a**2\/7 + 11976*a + 8\/7 = 0.\nAnswer: -1\/10480, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 70.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 384*b + 9216.\nAnswer: 4*(b + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 183 = 14*i + 204, 4*i - 3*k - 25 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let h(w) be the first derivative of -w - 1. Let o(r) = -r - 3. Let z(t) = 3*h(t) - o(t). Calculate p(z(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, w: 1, d: 1, o: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (206\/(-24))\/(15\/(-117192)). Let x = k - 67136. Let m = x - -76. Which is the biggest value? (a) -2.2 (b) 3 (c) m (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 381\/4. Suppose 16*q = 21*q - 35. Suppose -4*m - 9 = -p, p = 3*m + q - 0. Which is the smallest value? (a) 3 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7906 by -2.\nAnswer: -3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 4.9. Suppose -78 = 10*m - 18. Sort -0.1, q, m in decreasing order.\nAnswer: -0.1, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/15 + 57428*p\/15 + 114848\/15 = 0. What is p?\nAnswer: -28712, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 at most -950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4 (c) 0.3 (d) -0.04 (e) 4 (f) -1025 (g) 26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 u when three letters picked without replacement from vupvpuvgvpspvgv.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7930521 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 768\/3*12\/48. What is the greatest common factor of a and 1632?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4\/7 (b) 0.4 (c) 10770\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 9*g + 5. Let i be o(7). Let v = i + 14. Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t + 143*t - 5*w = 32419, -2*w = -14. Does 89 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -367 + -38?\nAnswer: -39f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 5*n**2 + 4*n + 5. Let w be v(6). Let t be 13\/2 - w\/(-14). Let j(a) be the second derivative of a**3\/6 - 7*a**2 - a. What is j(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 349411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353556539 to the power of 1\/2, to the nearest integer?\nAnswer: 18803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52914418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**6 + 0*c - 17\/210*c**7 - 1\/5*c**5 + c**2 + 0 + 0*c**3 + 0*c**4. Find the third derivative of l(y) wrt y.\nAnswer: -408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = 0, 4*y - 27 = -4*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 10 - (3*-2)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.099 + -1.099. What is the closest to a in 1, -7\/4, 1\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3240 + -3239.989576. What is v rounded to 4 decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w - 30 + 62 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326 - -296. Let l be (-46)\/(-10) + (r\/6 - 0). Which is the nearest to -1? (a) 2\/3 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*a - 1641 = 978, 0 = 4*z + 5*a + 3510. Let t = z - -880. Solve 0 = -2*n - 2*s, -n - t = -3*s - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2705*v**2 + 5362*v**2 - 2691*v**2.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y + 2*v, -2*y + 26 = y + 5*v. Suppose 2*h + 2*h = -y*l + 24, -h - 4*l - 8 = 0. Solve -3*z + h = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17081 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61014 or -61002?\nAnswer: -61002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10273*p**3 + 164*p**2 + 11 wrt p?\nAnswer: 61638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37249.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 37753 = -18*x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -6.554.\nAnswer: -0.39324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -233*a + 7. What is the tens digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 7, s: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315792307 to the power of 1\/2, to the nearest integer?\nAnswer: 17771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1347883*a - 1347883*a + 1393*a**2.\nAnswer: 1393*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69870617 - 116229383. Round r to the nearest one million.\nAnswer: -186000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/3*f**3 + 25\/2*f**2 + 23*f + 0. Let j be a(9). Sort -3, j, 0 in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 866511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/4875*280\/336.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let g = -2 - -5. Let m(i) = -5*i + 0*i + g*i. Determine m(j(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.286 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 + 404*u + 208. Let h be i(51). Solve 2*x = -3*c + 1, 5*x = -6*c + h*c - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - 39\/(-12). Let s(b) = 2*b**2 - 2*b. Let d be s(i). Suppose d = y - 2. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmpmmmwmtmmm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(288) + 0) + -5.\nAnswer: -17 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 9. Let q be (1 + i - 0)*1. Suppose 4*l + q = -n - 6, 4*n - 2*l = -6. Is n > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.03 - -0.03. Let x(k) = -k**3 + 41*k**2 + 392*k - 4. Let n be x(-8). Which is the third biggest value? (a) n (b) t (c) 1.7 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o**2. Let v(x) = 12 - 11821*x**2 - 13 + 11826*x**2. Calculate k(v(h)).\nAnswer: -250*h**4 + 100*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 + u + 1. Let d(z) = -z**3 + 5*z**2 - 2*z - 2. Let w(n) = d(n) + 2*s(n). What is the third derivative of w(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 4*r = 29*j + 4994, 3332 = 2*j + 2*r. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 202, 299, 396?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1794*j + 346244. What is m(-193)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148235*q**4*u**2 - 10*q*u**2 - 2141*q wrt q.\nAnswer: 1778820*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -0.2 (c) -0.1 (d) -1 (e) 1 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 49. What is the least common multiple of (-3)\/(-18)*0 + 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 + 423. Let z be 4\/(-1) + t\/35. Which is the nearest to -2\/7? (a) 4 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14069 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 139186 times -766\nAnswer: -106616476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55214 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 68*p + 2464055 + 44*p - 28*p**2 - 2464135.\nAnswer: -4*(p - 2)*(p - 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974582.\nAnswer: 2, 3, 163, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o + 11 = 0, -2*x - 1 = 3*x - 4*o. Solve -4*m + m - 5*p + 30 = 0, 0 = -x*m + 3*p + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c6 - -5?\nAnswer: -5c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (214 - -81) + -331 + 16 + 1 + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2913 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*p + 8, d + 2*p + 6 = -p. Suppose d = 29*n + 11*n - 320. What is the lowest common multiple of n and 31?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*q + 692 = -1959 - 1219. Suppose -5*m - l + 3*l = -19, 5*l = -5*m + 5. Calculate the smallest common multiple of q and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511541420 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 719 = v, 17*q + 3*v + 349 = 19*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*o - 71. Solve 0 = 18*k - o*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155718 is divided by 458.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007268503 rounded to 7 decimal places?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let s(y) = 4*y + 3. Let j(i) = 3*n(i) - s(i). Let t(g) = 50*g. What is t(j(u))?\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g - 18. Calculate c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17886 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9326677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - n + 1. Let l be r(-1). Let t = -1 + 2. Calculate the greatest common divisor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -375, -377, -379, -381?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*k + 5*n - 32 + 24, -k - 4*n + 53 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125229.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -186. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1788032 (base 9) to base 15\nAnswer: 14c358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2403, -4589, -6775, -8961, -11147, -13333?\n\"Answer: -2186*x - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 - 3*s**2 + 18*s**2 + 39*s**2 - 21*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 1783158\nAnswer: -35\/1783158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/28*(-5 - (-102)\/12). Calculate the greatest common factor of 852 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -x - 3. Let o = -6 + x. Suppose 0 = a + o - 0. Which is smaller: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(4 - (-2)\/(-1)). Which is the third biggest value? (a) 0.05 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*g**3 - 172*g**2\/3 + 196\/3 = 0. What is g?\nAnswer: -1, 7\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 - (-20)\/(-4))*(-2)\/(-4). Suppose t*h - 28 = 3*h. Let c(m) = 8*m + 3*m - h*m. Let x(l) = l. What is c(x(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 - 14 = 3*g, -3*b = 5*g + 21. Let o be -1 - (b + 1 + 2). List the prime factors of (2 - o)*(-9)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p**3 - 132948*p**2 + 233579319*p - 3534253490 = 0.\nAnswer: 290\/19, 3491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -13. Let d(o) be the first derivative of o**4\/4 + 2*o**3 - 3*o**2\/2 - 3*o - 3. Is 14 a factor of d(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76574 - -37612. Let s = q + 38685.641. Let m = -276 - s. What is m rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 2*j**2 - 10*j - 22. Calculate x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 28514252*d**2 + 28514252*d**2 - d**3 - 2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*w - 5*w**2 + 0*w**2 - 1716*w.\nAnswer: -5*w**2 - 1544*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = 5. Suppose 5550011 = -5*b + 4*a, -4*a = z - 1. Let h be b\/(-3) + -2 - -1. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(175) + -1))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/12092718 and 85\/6596028.\nAnswer: 72556308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -54. What is the second derivative of -r - 5*v + 43 + 4*v**3 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -883 - -1621. Let t = 738.0001844 - r. What is t rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let s = j - 1. Let c = 0.57028 - -0.42972. Sort s, 0.2, c.\nAnswer: s, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 4*-2*sqrt(187))\/(sqrt(1980)\/sqrt(5)).\nAnswer: -7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - (-2)\/((-11650)\/1665 + 7)?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(23*r + 9454 - 9454 + 196*r).\nAnswer: 219*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/111 and 48\/259.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1, 1\/4, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times -7?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -2 + (-2 - -3) - 11) + (22 - 72).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 5*h**3 + 0*h**3)*(-2*h + 24*h + 12*h) - 3*h + 3*h - h**4 + 5*h**4 + 0 - 3*h**4 - 2.\nAnswer: 69*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y**3 - y - 1. Let d be n(-1). Suppose -4*u - 3 - 4 = -s, 4*u + 5 = 3*s. Let j = d + u. Calculate the lowest common multiple of 5 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -1.6. What is the nearest to h in 1\/75, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -115. Let l = -359\/5 - m. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25175.5 less than -1?\nAnswer: 25174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2309869 grams to kilograms.\nAnswer: 0.0002309869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328491599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 17*f. Let y(c) = 2*c - 22. Determine j(y(l)).\nAnswer: 4*l**2 - 54*l + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 19\/2*x**2 + 0*x**3 + 7\/3*x**4 + 0 + 31*x. What is the derivative of c(z) wrt z?\nAnswer: 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 12366\/(-270) + 65\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840165.\nAnswer: 3, 5, 79, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101447364 rounded to 5 dps?\nAnswer: -0.10145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 - 5*g**2 - 5*g - 8. Let j(q) = -2*q**3 - 5*q**2 + q. Let w(x) = x**3 + x**2 - x - 1. Let b(z) = j(z) + 3*w(z). Give 8*b(t) - 3*v(t).\nAnswer: -t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 + -165 + (0 - -1) + -8 - (-41 - -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 - 1 + 2*w**5) + 2*w**4 + 2*w**5 - 2*w**4 - w**5 - 25*w**5 - 18*w**5.\nAnswer: -40*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3673.84, -9, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -17674364?\nAnswer: -17674364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymyyyyymmymm. What is prob of picking 4 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from {p: 2, i: 4, z: 1, o: 2, a: 10}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 74*s**3 - 5*s**3.\nAnswer: -77*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4644.2 - 4644. Let u = -2 + 2.1. What is the nearest to u in a, -1, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -47, -104, -199, -344?\n\"Answer: -2*s**3 - s**2 - 14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(2\/(-2)). Let g be (0 - -1) + (-5)\/1. Let q = 662\/5 - 132. What is the nearest to -0.1 in q, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/6)\/(33\/66). What is the third biggest value in -0.5, x, 4, -2, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.1, 7604, -1\/5, 34, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661067222 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 109*u**2 + 1874*u + 2290. Let v be k(-88). Determine l so that 35*l + 45\/2*l**3 + 325\/2*l**v + 0 = 0.\nAnswer: -7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13*a = 16*a - 25320, -5*a = 5*m - 63295. Suppose -3762 = 5*x - m. List the prime factors of x.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 176352077?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let c(b) = -b - 17. Let r be c(0). Let v = -13 - r. Let d(g) = 0 - v + 6 - g. Determine 6*d(f) + 4*s(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(288) + sqrt(288))**2 + sqrt(288) + -5 + -2 - (-5 + (sqrt(240)\/(sqrt(48)\/sqrt(4)))\/(sqrt(100)\/(sqrt(10)*-1))).\nAnswer: 205*sqrt(2) + 1166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from {g: 3, i: 1, f: 9, e: 1}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 43*z**3 + 5*z**2 + 3*z - 1 - 1 - 44*z**3. Let y be j(5). Suppose y = -0*x - 2*x - m, -3*m + 33 = -3*x. Is -3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19, -3, 0, 6 in descending order.\nAnswer: 6, 4, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*p + 6, p = -5*t + 3*p + 27. Suppose 0 = -t*r - 309 + 3130. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 12*q - 24. Calculate the lowest common multiple of 14 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**3 + k**2 + 2*k + 3. Let u be x(-2). Let f = 88 - u. What is the units digit of 4\/(-10) + f\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q)*(-3*q**2 + 3*q**2 + 2*q**4) + 4*q**4 - 5*q**4 + 3 + q**5 - q**4.\nAnswer: 3*q**5 - 2*q**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2\/9 (c) -10\/7 (d) -9 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -239?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, -340\/481, -1?\nAnswer: -340\/481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.26, 0.3, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -1.26396?\nAnswer: -1.137564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2883396 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 3. Let k(x) = -x**3 + 4*x**2 + 6*x - 7. Let j be k(5). Calculate the lowest common multiple of w(j) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -81. Suppose -d*n + 3350 + 9707 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030104315 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1724354669 + 43987.\nAnswer: -1724310682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(4)\/sqrt(2)*2)**2)*-6*3 + 4.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3\/7 - 600*j**2\/7 + 3700*j = 0.\nAnswer: -185, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 1 - 1*-1. Suppose y*h - 230000 = -0*h. What is h rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829, 2022, 3215, 4408, 5601, 6794?\nAnswer: 7987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 39*h**2 + 40*h + 3. Let k(m) = 118*m**2 + 121*m + 8. Let n(a) = -3*k(a) + 8*o(a). Find the second derivative of n(c) wrt c.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.9. Let d = -162 - -161. Which is the third biggest value? (a) d (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -36. Suppose k*t - 4*t = 0. Let x be (-2)\/5 + (-18)\/(-70). Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95305 = 1630*z + 589*z + 71120 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y - 1)*(4 + 1 - 3) + (-1 + 2 - 2)*(-2 - 2 + 5)*(9*y + 7*y - 6*y) - 3*y + 10*y - 16*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*f. Let j be 1\/(2\/(-2))*f. Let v be (-4)\/((3 - 21)*1). Is v bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 997 or 6975\/7?\nAnswer: 6975\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 + 3*w**3 - 15214082*w**2 - 956246543*w + 1?\nAnswer: -12*w**2 + 18*w - 30428164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f - 3. Let m be i(9). Let j = 181 + m. Let y = j + -63. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (96612\/(-7))\/(-4) - (-3)\/(-7). What is p rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 5*(6*(sqrt(1584) + -2*sqrt(1584) + sqrt(1584))*6)**2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooosososo. Give prob of sequence soss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 - u**3 - u**3)*(-2 + 2 + 2*u) + 8*u**4 - 3*u**4 - 3*u**4 - 9*u**4 + 10*u**4 - 5*u**4 to c*u**3 + k*u**4 + z*u**2 + d*u + f and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 24. Give w(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 976*r + 33*r**2 + 976*r)*(-3 - 3 + 0 + (2 - 5 + 5)*(4 - 2 + 0) + 1 - 2 - 1).\nAnswer: -132*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/136 + 11582\/1200 + (250\/5)\/(-5)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -80*y**7\/21 + 143*y**3\/6 + y**2\/2 + 3*y - 73. Find the second derivative of j(u) wrt u.\nAnswer: -3200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(280) - (sqrt(280)*-2*5 + sqrt(280)))\/(sqrt(1210) + sqrt(1210)*-2)*5.\nAnswer: -400*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + (6 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5417173 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-3))\/((-1)\/(-3)). Suppose -x*r + 524 = -r. List the prime factors of r.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85376565 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -536 or 12?\nAnswer: -536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - ((-20 - 0) + 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*g - t - 20, t + 37 = 2*g. Calculate the highest common divisor of g and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 41. What is the remainder when 52 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Is q at least as big as 1\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.569 take away 7?\nAnswer: 18.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 6*o**2 + 15*o + 3. Let c(v) = 5*v**3 + 9*v**2 + 23*v + 5. Let g(d) = -5*c(d) + 8*m(d). What is the remainder when 53 is divided by g(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and ((-15)\/(-6))\/((-160)\/(-5376)).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 533, -3, 5, -0.2, 3\/4 in ascending order.\nAnswer: -3, -0.2, 3\/4, 5, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**2 + 10*t**2 + 5*t**4 + (2*t**2 + 2*t**2 - 2*t**2)*(3 - 3 + t**2) - t**4 + t - t + 9*t**4 - 5*t**4 + 13*t**4)*(0 + 0 + 2).\nAnswer: 46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 8 + 20, 2*i + v - 26 = 0. Let z = -31 + 50. What is the remainder when z is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*q - 3*q - 19*q)*(2 - 1 + 1)*(3*q**2 - 8*q**2 - 2*q**2).\nAnswer: 1120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(5) + 4 + sqrt(5) + (sqrt(275)\/sqrt(5))\/sqrt(11)).\nAnswer: 3*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14992926 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 11. Let f(i) = -4*i + 12. Let c(a) = 5*f(a) - 6*v(a). Let o be c(-5). What are the prime factors of (-118)\/(-4) + o\/8?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a65 (base 12) to base 7.\nAnswer: 46436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*o**2 - 252*o**4 + 0*o + o - 50*o**4 + o + 10*o**4 wrt o.\nAnswer: -7008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73423044 - 0.07\nAnswer: 73423043.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 26*o**2 + 25*o - 5. Let d be y(-25). Suppose 2*v = 3*z + 13, 0*v - 5*z - 11 = 2*v. Put d, v, 0 in increasing order.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 316, 1128, 2440, 4252, 6564, 9376, 12688?\n\"Answer: 250*i**2 + 62*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4104 + 611?\nAnswer: 4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -254588\/7?\nAnswer: -254588\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 58*a + 4. Let f(q) = -3*q. Determine b(f(p)).\nAnswer: 9*p**2 - 174*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -1\/24*f**4 + 0*f + 1\/30*f**6 + 0 + 0*f**3 + 0*f**5 + 5*f**2. What is the second derivative of z(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 358, 356, 354, 352, 350, 348?\n\"Answer: -2*u + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(-584) - (-3)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(425)*-2 + 5*(sqrt(425)*1)**2 - ((sqrt(17)*3*2)**2*4 + 2).\nAnswer: -325 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82920705?\nAnswer: 3, 5, 7, 789721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287455203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 11) to base 15\nAnswer: 24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10576, 42525, 96214, 172003, 270252, 391321, 535570, 703359?\nAnswer: 895048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let k be s(-4). Let i be ((-40)\/16)\/((-10)\/6). Put i, k, -2\/5 in increasing order.\nAnswer: k, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114995\/6 + 19183. Find the common denominator of 43\/60 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77728, -155452, -233176, -310900, -388624, -466348?\nAnswer: -544072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 15933303?\nAnswer: 15933301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11016361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 5*l - 7*l - 31355 - 8*l + 31357.\nAnswer: l**2 - 10*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66211, 264422, 594633, 1056844, 1651055, 2377266?\n\"Answer: 66000*g**2 + 211*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-2 + sqrt(320) - sqrt(320))) + sqrt(5) + (sqrt(5) + sqrt(5)*-2 + -2)**2 + sqrt(5).\nAnswer: 11 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -13\/2*d**2 - 3*d - 16 - 59\/3*d**3. What is the derivative of n(k) wrt k?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let z(n) = 88074*n**2 - 466*n + 466. Let p(y) = -947*y**2 + 5*y - 5. Let b(s) = -466*p(s) - 5*z(s). Give a(b(j)).\nAnswer: -1737248*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(1573) + 1 - (1*sqrt(1573)*1 + -3))**2*-2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*q + 1, 0 = 66*r - 3*q + 277 - 469 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:28 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.939047 rounded to zero decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - 981\/492)\/((-3)\/236) and (-68)\/(-22) + (-6 - -15)\/(-3)?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 103, 249, 537, 1015, 1731?\nAnswer: 2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 + 24896*m - 38738176 = 0. Calculate m.\nAnswer: 3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 58862.42 weeks?\nAnswer: 35599991616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 12) to base 15.\nAnswer: 23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3277 + -3276.5. Put 7, -5, k in increasing order.\nAnswer: -5, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from yhhhhhyhhhgihgyi.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -65598.1006053+44\nAnswer: -65554.1006053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48093, 192334, 432733, 769290, 1202005?\n\"Answer: 48079*o**2 + 4*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3408 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 + 9*i**2 = 0. Calculate i.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0368 + -1688.5368. Round c to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 + 13210332?\nAnswer: 13213312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6853876 to the power of 1\/2, to the nearest integer?\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 + 254. Solve 4*u = 0, -a - z*a - u = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11487 is divided by 197?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1502*m - 2. Let y(k) = -19*k. Let i(r) = 82*r. Let x(s) = 6*i(s) + 26*y(s). Calculate z(x(w)).\nAnswer: -3004*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37879753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 7)*((4 + 0 - 5)*(0 + 0 + n) - 4*n - n + 2*n - 2*n - 2*n + 5*n + (-2*n + 2*n - 2*n)*(-4 + 5 + 0)) to the form r*n + h and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13382 - 13109. Calculate the least common multiple of 273 and p.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r - u - 31, -3*u = -3*r - 51. Let s be (r\/(-10))\/(4\/10). Suppose s*b = 4*b. Solve 4*g + 0*g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:36 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**4\/2 - g**3\/3 - 3*g**2. What are the prime factors of w(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3 - 4*a**2 + a + 3. Let r be l(2). Suppose 0 = -5*u - f + 80, -3*f = 3*u - 23 - r. Solve 5*s = 5*v - u, v = 2*v + 3*s + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2176792?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50529 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i + 1. Let q be r(-1). Let l = 13 + q. Solve -4*z = 2*s - 3*s + 13, 2*s + 2*z + l = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 49541?\nAnswer: 941279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242292519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132624 is divided by 421.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63567 divided by -63567?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from wegmwtcgmmcggwwtt.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -4*r**5\/5 + 40*r**3\/3 - 116*r - 40. Differentiate n(p) wrt p.\nAnswer: -16*p**3 + 80*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143\/2 at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25722845873858 and -0.4.\nAnswer: -25722845873858.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*l**3 + 81*l**3 + 61*l**3.\nAnswer: -66*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064663.4167 rounded to the nearest ten thousand?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 426839310 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 8*w**2 + 7*w + 2. Let l be m(7). Is 8 a factor of l*((-46)\/(-4) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599964?\nAnswer: 2, 3, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3\/7)*p*p))\/p*p**(-18) assuming p is positive.\nAnswer: p**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -5. Suppose -5*a = -4 + 34. Let b = a + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b + 3. Let h be s(-2). Let v = -29\/2 - -19. What is the common denominator of v and (h\/(-6))\/((-28)\/98)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*p = -248712, -5*n - 10*p = -5*p - 310885. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 31. Suppose x = -8 + o. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -30. Suppose -3*g = g + b. Let m be 0*(-2)\/g + 5. Solve -m*f + 4 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 x when three letters picked without replacement from mnmuxmn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157, 307, 455, 601?\n\"Answer: -z**2 + 153*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 81. Let x = 147175\/18 + -8181. Find the common denominator of (-174)\/35*(-5 + (-75)\/v) and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f\/(f*f**5)))\/f)*f\/(f**8*f*f*f)*f**(3\/2)\/(f*f*f**5)*((f*(f*f\/(f\/(f**(-1)*f))*f)\/f)\/f**(-2\/13))**(-2\/27) assuming f is positive.\nAnswer: f**(-13801\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 - 6. Let n(u) = -2*u**3 + u**2 + u + 1. Let f be n(-1). Suppose 0 = -0*q + q + 4*k - 20, -f*q = -4*k + 20. What is p(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -726.43 - 1.57. Let i = 339 + r. Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/32*4*8. Solve -4*m - k = -2*m + 13, w*m - 3 = 3*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 32. Let b be 2\/6 + 175\/q. Suppose 4 = 28*v - 23*v - 4*p, 5*v = 2*p + 2. Solve -t - 4*u = -v*u - 14, -4*u = -b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-31 + 4 - 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526984198?\nAnswer: 2, 13, 167, 121369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -189991, -379868, -569673, -759406, -949067?\n\"Answer: 36*r**2 - 189985*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9185, 18379, 27573, 36767, 45961?\nAnswer: 55155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*s**3 - 315*l**3*s - 592*l**3 - 2*l**2*s - 971*l**2 + 85*l*s**3 wrt l?\nAnswer: -6*s**3 - 1890*s - 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7860 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + sqrt(3))*5 - (sqrt(3) + sqrt(48) + 1).\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + ((-18)\/6)\/3. Solve 0 = -g*n + 2*u + 20, -2*n - 2*n - 5*u - 17 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 6*h**2 - 170*h - 4. Let q(s) = -22*s**3 + 26*s**2 + 682*s + 18. Determine -2*q(z) - 9*u(z).\nAnswer: -z**3 + 2*z**2 + 166*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -38, -1\/8, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(2\/21)*a**(26\/5)\/a assuming a is positive.\nAnswer: a**(641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 233 and -0.0778.\nAnswer: 232.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + o = -3, -3*d + 6*o + 8 = 8*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719580961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*z + 12*f**3 - 4*f**2*z - 42504*f**2 - 2230*f*z + 2*f - 281*z wrt f.\nAnswer: -6*f*z + 72*f - 8*z - 85008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592)*2)\/sqrt(6)*3*-5.\nAnswer: -360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -16 (c) 1\/8 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1410843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (14 - -134) - (-8 - -15 - 13)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**4 + 8104*i**3 - 1870*i**2 + 2*i - 16.\nAnswer: 336*i + 48624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s**2 + 35*s**2 - 7743*s + 7743*s. Let m(g) = g. What is m(j(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/40840928 and -1\/70195345.\nAnswer: 2246251040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 893 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 294938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.98 + 13. Let p = v - 0.12. Is 1.8 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 31) + 18 + -2 - 66\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*t - 8153 = -80*t + 7057 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1102*c + 40*c - 79*c - 33*c = 3522 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18648301757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 6. Suppose -u*h + 4*h = -4. Let y = 177.3 - 177. Which is the biggest value? (a) h (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -40.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12068321 + -3.106?\nAnswer: -12068324.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 5.06. Let o = 4.2 + i. Let q = 0.80015 + o. What is q rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 4*q**2 + 2*q**2 + (q - q + q)*(2*q - 2 + 2) - 4*q**2 + 0*q**2 + 5*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -0.7. Let w = 0.5 + y. Let z = 2.1 + -2. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202505 + -110472. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q - 2. Let k be f(0). Let s be ((-3)\/(-2))\/((-1)\/k). Suppose 0 = -4*u + 5*a + 82, s*u = 5*a - 11 + 75. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/90 + 235*i**4\/36 + 236*i**3\/9 - 4193*i**2. Factor g(b).\nAnswer: -2*(b - 236)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose 0 = 5*j - 0*j + v*i - 20, -5*i + 17 = -4*j. Let y be ((-366)\/488)\/(3\/(-12)). Solve y*h = -14 + j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -8, -519, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 19954?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 63. Let v(g) = -2*g**2. What is z(v(c))?\nAnswer: 2*c**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 4*t - 3. Suppose -y + 12 = -2*m, -y + 9 + 0 = -5*m. Let u(x) = 5*x**2 + 9*x - 7. Determine y*s(f) - 6*u(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + v + 1. Let o(c) = -5*c**2 - 3*c - 3. Calculate 3*o(m) + 7*x(m).\nAnswer: -m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18383*o + 329 = 18336*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 1\/11 (c) -0.07 (d) -13 (e) -1\/143 (f) 47\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4236 by 1059.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-200)\/(-16) - (-7 + 19). Factor r*a**4 + 0*a**2 + 0*a + 0*a**3 + 0 - 1\/2*a**5.\nAnswer: -a**4*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 15*z**2 + z + 9. Let t(r) = r**3 - 8*r**2 + 7*r - 14. Suppose -14*m + 35 = -9*m. Let h be t(m). Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*w + 1797*w + 33124 = 0 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.413 - -8.21. Let r = 0 - 1.2. Let p = y - r. What is p rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 421, 4, -1, -17, -4, -5.\nAnswer: -17, -5, -4, -3, -1, 4, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312599 is divided by 634.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 154521806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*t - 5*k, -5*t + 0*k = 3*k - 8. Suppose -c + 6*c + t*j = 29, 19 = 3*c + 4*j. Calculate the least common multiple of c and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaaqqqqqraxaqxxaqr. What is prob of picking 2 a?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -8393, -27\/13, 5 in descending order.\nAnswer: 5, -1\/11, -27\/13, -8393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97462.\nAnswer: 2, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -39. Suppose -3 = f*s + 3*h, -s + 3*s + 3*h + 3 = 0. Solve -c + 1 = 3*b - s, 5*b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4154)\/18 + 58\/(-261))*-15.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shfu when four letters picked without replacement from {o: 3, f: 7, u: 1, s: 2, h: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 31*x**3\/3 - 127*x. Let n(b) = -6*b**2 + 22. Let g(k) = k**2 - 4. Let h(l) = 11*g(l) + 2*n(l). Determine s(h(f)).\nAnswer: -62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7325 is divided by 282?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*l - 1 + 8, 3*n + 18 = 5*l. Calculate the remainder when 9 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/24 + 5*c**3\/6 + c**2 - 667. Let b(s) = s**3 + 7*s**2 + 5*s - 6. Let v be b(-6). Calculate o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1420\/9, 2, 6, 0, 10, 12 in decreasing order.\nAnswer: 12, 10, 6, 2, 0, -1420\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 70270 to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -288, -631, -1112, -1731, -2488?\n\"Answer: -69*y**2 + 2*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 18, v: 1}. Give prob of picking 2 r.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 40 = f, 2*f - 5*r + r - 80 = 0. Let u = 45 - f. Suppose -18 = -w + n, -2*n - 26 = -2*w - u*n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*v = 22, -4*f + 0*f + 4*v + 20 = 0. Suppose -3*j - 14 = -4*z, -3*j - f*j + 10 = 0. Solve z*p - 3 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let n be z(-5). Suppose q = -n*q - 36. Let k = q - -18. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 10 = -2*h. Let o = -16 + 24. Suppose -o*i = -h*i - 207. Calculate the remainder when i is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8063212.6 rounded to the nearest 1000?\nAnswer: 8063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 30*o - 159*o - 8*o + 48*o + 1 in the form s + h*o**2 + g*o**3 + j*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18\/j**(12\/5) assuming j is positive.\nAnswer: j**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = 18. Suppose q - 2*q - x*w = -6, 5*w - 9 = -2*q. Let k = -75 - -93. What is the highest common divisor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41108 + 743212 = 43*a. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145*-13\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/2 - 201*j**2 - 2863*j\/2 = 0.\nAnswer: -7, 0, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2992, -6001, -9028, -12079, -15160, -18277, -21436?\n\"Answer: -p**3 - 3*p**2 - 2993*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 3. Let w = 1 - 0. Suppose 2*s = 13 + w. Let n be m(s). Solve -i - n = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z**2 - 153*z**2 + 70*z**2.\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/2*1*2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -326, 1, 0 in decreasing order.\nAnswer: 1, 0, -2, -5, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3433 + -1360. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -546 (b) -1\/10 (c) -2.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, -1283.141, 3\/4 in descending order.\nAnswer: 156, 3\/4, -1283.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 + 14 = 0. Suppose 30 + 50 = n*z. Calculate the highest common divisor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311023210 (base 4) in base 2?\nAnswer: 101110101001011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18) + (-2009)\/(-369).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -167, -258, -375, -512, -663?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/360 - a**5\/40 - a**4\/8 + a**3\/2 + 7*a**2\/2 + a + 11. Let z(i) be the second derivative of u(i). Determine z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:54 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jjjsssqjjsjjsjjjjjqj.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8748.464 millilitres to litres.\nAnswer: 8.748464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602701358\/1695 + -355576. Find the common denominator of k and -181\/30.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*k + 139*k + 8, -5*g + 17 = -4*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or -13.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, 1 u, and 1 p when four letters picked without replacement from opyuyxyxpxpxyyyxyyyp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 80444*m - 80444*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 + v**4 - 6*v + 0*v wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/24)\/(66\/(-352)). Sort 3, 1, -2, d, 7 in decreasing order.\nAnswer: 7, 3, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 - 12*v + 5. Determine o(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -3 - 2) + -16. Let j = -8 - u. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -24. Calculate the remainder when 27 is divided by (35\/20)\/((-1)\/v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442000 divided by 8500?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 1)*(-7 + 15 - 4) + 1 - 3 + 0)*(2*a**2 - 3 + 3)*(a - 4 + 4)*(-6*a - 5*a + a) to v*a**4 + h + z*a + b*a**2 + c*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12134 + 12136. Let t(r) be the third derivative of r**6\/20 - r**5\/30 + 5*r**4\/24 - r**3\/3 + r**2. What is the remainder when t(h) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010755 rounded to 4 decimal places?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*k = -2*d + 16, -d + 2*k + 10 = 0. Let t(r) = -d*r**2 + r**2 + 10*r + 0*r**2 + 5. Is t(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2677 - -2692. Find l such that 5\/2 + 45\/4*l + 25\/4*l**3 + w*l**2 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 36 + 8 + (-3 - (-20 - -2))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*q - 173*q + 15 = 0, -5*h + 3*q = 31. Which is smaller: 49 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429 or -431?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.1 (b) -5 (c) 7\/4 (d) 822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 48103.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1104 + 5223025?\nAnswer: 5224133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 1 - -1 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -696 - 450*g**4 + 1717*g**3 - 1717*g**3 wrt g?\nAnswer: -1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3749, 30166, 101905, 241628, 471997, 815674?\nAnswer: 1295321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3526337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31874 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 a = 6 - 11. Let l = -3 - a. What is the second derivative of 2*j - 2*j**2 + j**l + 2*j**2 wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 29*r + 7. Let k be f(7). What are the prime factors of 2\/3 + k\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9419, -37313, -83691, -148553, -231899, -333729, -454043?\nAnswer: -592841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(176) + sqrt(176) + sqrt(176) - sqrt(176))*-2*2)**2.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1026144 (base 7) to base 8.\nAnswer: 363256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j, 0 = -3*d - 3*j + j - 18. Let z(b) = -b**2 - 5*b - 5. Determine z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149.355 + 148.855. Let r = -2 - -2.1. Which is the closest to -2? (a) f (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6705285410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 44 + 6*v + 16 + 12. List the prime factors of y(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**3 + 10479*i**2 - 700257*i - 162. Let f(u) = u**3 - 806*u**2 + 53866*u + 12. Let g(p) = 27*f(p) + 2*r(p). Suppose g(x) = 0. What is x?\nAnswer: 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(1848\/300 - (-216)\/(-1350))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141277 divided by 1.\nAnswer: 1141277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10959263*p**5 - 3544743*p wrt p.\nAnswer: 219185260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -955006, -955104, -955202, -955300, -955398, -955496?\n\"Answer: -98*i - 954908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = 6 - 63. Solve 9*p - h*p - 24 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1\/4, 156, 9 in descending order.\nAnswer: 156, 9, -1\/4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 - 10*y - 2. Let d be v(7). Suppose 0 = 5*f + 2*l - d, 89 = f - 3*l - l. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) - sqrt(637)*-3)*-1 - sqrt(637) - sqrt(637))**2 + 0.\nAnswer: 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 33*k**2 - 98*k - 105. What is the hundreds digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -10*c**3\/3 + 8*c**2 + 30*c + 39. Let v be n(-9). Let f = v + -976. What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/19 - 2*n**3\/19.\nAnswer: -2*n**3*(n + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 496.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13735, 27577, 41527, 55585, 69751?\nAnswer: 84025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1007936342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 7 - 8 + 6*n.\nAnswer: 6*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 14*o**2 + 27*o - 53. Let t be a(12). Let x = t - -302. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4584 - 3672)*(-9)\/(-10). Factor -219\/5*w**2 - 3\/5*w**3 - h*w - 3888\/5.\nAnswer: -3*(w + 1)*(w + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in 8, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 - (4\/(-6) + (-227)\/(-48)) and ((-4)\/54)\/(6\/(-99)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 - -610. Solve 8*r + 4*r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6eb - -db9?\nAnswer: 6ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -88788b8?\nAnswer: -88788b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*t = -4*t - 137, -5*c + 645 = 5*t. Suppose 737*r = 730*r + c. Solve 28 = -r*w + 12*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let z(b) = -2*b + 1620. Let a(n) = -819. Let k(h) = 5*a(h) + 2*z(h). Determine l(k(v)).\nAnswer: 16*v**2 + 6840*v + 731025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d + 5*d + 6*d - 14*o + 47, 3*o = d + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -409 in 1\/4, 2\/5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.4 (c) -149 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g**2 + 4*g. Let a(y) = -20*y**2 - 3*y + 1. Let u(b) = 4*a(b) + 3*v(b). What is the first derivative of u(i) wrt i?\nAnswer: -46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-3) - 4\/12. Let f be (v\/(-4) + -1)*4. Let y = -5 - -9. Put 5, y, f in descending order.\nAnswer: 5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135928 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 11. Let p(r) = 2*r - 11. Let f(t) = -5*i(t) + 6*p(t). Let n(a) = 0*a + 8 - 2 - a. What is -6*f(o) - 11*n(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - m - 111, 5*d + 2*m = 113 + 16. Calculate the least common multiple of 6 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1)\/sqrt(7) + 1*sqrt(1216) + sqrt(1216) + 0 + sqrt(304) + sqrt(304) + -3 - 2*(sqrt(475) - -1*sqrt(475)*4)*3)**2.\nAnswer: 762*sqrt(19) + 306460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*6\/(-27))\/(((-105)\/7)\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -36, -30, -28, -30, -36?\n\"Answer: -2*l**2 + 16*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5950288 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389109 is divided by 8268?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Calculate a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-238*o + 878*o + 1250*o + (1 - 3 + 0)*(0*o - o - o))*(6*o - 10*o - 10*o) as d + m*o**2 + a*o and give m.\nAnswer: -26516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 2, d: 3, t: 3, z: 3}. What is prob of sequence qqu?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 871359.6ml in litres?\nAnswer: 871.3596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1275848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5246265.\nAnswer: 3, 5, 367, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -219, -334, -451?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 656925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13161 = -4*l, 1 = 7*w - 6*w. Let c = l - 13065\/4. Find the common denominator of 115\/36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 20*c**2 - 2*c + 10. Let n(f) = 78*f**2 - 9*f + 41. Calculate 9*h(q) - 2*n(q).\nAnswer: 24*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869 - 2103 = 110*y + 218 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 174272 - 174272 - x + x - 12*x**2. Let r(u) = 20*u**2 + u. Calculate r(j(i)).\nAnswer: 2880*i**4 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (1 + -12) - (-513)\/(-14 + -5).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/154)\/((-27)\/66)*63\/(-12)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233.46490311 - -0.97011189. Let u = 233.035 - k. Let q = u - -1.4. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1474 - -372?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12075)\/3220)\/(35\/616).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47022 is divided by 15659?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 3. Let p = -6 + 23. Suppose -6*z + z + 2*g - p = 0, 0 = z - g + 1. Sort m, 4, z in descending order.\nAnswer: 4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 7) + 8600000*2. Suppose -i + 3*i = 4*w + 34399998, 0 = 2*w + 2*i + k. What is w rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 (base 8) in base 9?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17466.02 - -17311. Let j = 2.98 - y. Which is the third biggest value? (a) j (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/8, -1\/10, 5, -0.5.\nAnswer: -4, -0.5, -3\/8, -1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 195 = 0. Let q = -12 + c. Calculate the remainder when 53 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/15 - -5)*(-25)\/(-2). What is the remainder when 48 is divided by ((-125)\/j)\/(2\/(-4) + 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.9, -2\/15, -2, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1972.182ml to litres.\nAnswer: 1.972182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a - 120*a - 23616 = 4*a. What is the biggest value in a, -0.16, -0.3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 44*d - 14*d + 13*d.\nAnswer: 53*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 9:14 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646835, 2587349, 5821539, 10349405, 16170947?\nAnswer: 23286165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and -0.1652.\nAnswer: -25.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 8122?\nAnswer: 4377758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 2 + 1 + 0. Let l = -230 - -230.1. Let d = 1589 - 1589.02. Which is the smallest value? (a) l (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1202 + 2?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132))\/sqrt(12)*6)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121012 - 21?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 - 4*a**2 + 2*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 759. Let f(b) = -b**2. What is h(f(r))?\nAnswer: r**2 + 759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let c(r) be the first derivative of r**5\/60 - r**4\/8 - 2*r**3\/3 - 3. Let z(m) be the third derivative of c(m). Calculate 4*n(g) - z(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 44 = 200. What is the derivative of 4*f - x + 10 + 10 + 10 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from ncuiu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + 2\/3*207\/(-30) and 67\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1284 divided by -321\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7331, 14681, 22099, 29585, 37139, 44761?\nAnswer: 52451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 6 + -2*(-23545)\/(-11520) and 127\/288?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 10. Let c be v(7). What is the third derivative of c*g**3 - 4*g**3 + 4*g**2 + 3*g**4 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = s - 3, 4*k + 5*s + 17 = 3*k. Suppose 2*h - 5*u - 48 = -0*h, 4*h - 64 = 2*u. Calculate the least common multiple of h and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512144*h**2 + 198747*h**2 - 27*h + 27*h.\nAnswer: -313397*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -612, 5, -139.\nAnswer: -612, -139, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - -2) + 25 + -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28026 and 1161585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/7)*b))**(-1)*(((b\/(b\/(b\/(b**(1\/4)*b)*b*b)))\/b)\/b)**(37\/2) assuming b is positive.\nAnswer: b**(-243\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2932.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4388270145 by 5.\nAnswer: 877654029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v**(-6\/5))**49*v**(-5)*(v\/(v\/((v*v**(-2\/17))\/v)))\/v*(v\/v**(-2))\/(v\/(v\/v**(-2))*v) assuming v is positive.\nAnswer: v**(6484\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 296305.\nAnswer: 1\/296305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 + 2*b**2 - 8*b + 6. Let u be j(1). Solve -6*g - u + 30 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 2*c + 3. Suppose -42*j = -25*j - 34. Calculate b(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336213.\nAnswer: 3, 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42203 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48587 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8468261 divided by -193.\nAnswer: 43877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 1554.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(5*2*sqrt(2)))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllalmfmallcmmal. What is prob of picking 1 m and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = 957*w - 961*w, 4*p - 12 = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 453*m**2 - 499?\nAnswer: 906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10*112\/(-80)*18\/7\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97 + 95 - 192 + 84*i - 3*i + 3*i + 3*i + (5 + 0 - 4)*(-2 + 2 - 2*i) + 2*i + 2*i - 3*i.\nAnswer: 86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2. Let g(i) = -i**3 - 12*i**2 + 29*i + 18. Let l be g(-14). Let v(j) = 2*j**2 + 0*j**2 - l*j**2 - j**2. Calculate z(v(q)).\nAnswer: 90*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-9)\/(-15) + (-6)\/(-15). Solve -2*b = -g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4072 = -397*z - 7514 + 470 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13561 + 13561. Let u(b) be the third derivative of h*b**3 - 26*b**2 + 0*b - 1\/8*b**4 + 0. Let s(z) = 14*z. Determine u(s(o)).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 927 + -931. Let w(t) = t**3 - 3*t**2 - 3*t - 1. Let u(l) = 4*l**2 + 4*l + 2. What is q*w(i) - 3*u(i)?\nAnswer: -4*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/8 + 307*d**2\/8 - 351*d\/4 + 25.\nAnswer: -(d - 100)*(d - 2)*(3*d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 84 = -18*m. Solve 2*u + 0*u + 27 = 5*h, m*h + 5*u - 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, s: 4, a: 6}. Give prob of picking 2 s, 1 a, and 1 t.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m + 7*m - 33 - 29*m + 5*m. What is the units digit of g(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 146.09\nAnswer: 292.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 52 - 71 + 55 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3708578?\nAnswer: 3\/3708578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 849 = 2*p, 6*p + 5*z = 7*p - 430. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 2 q when four letters picked without replacement from {u: 1, o: 1, q: 2, d: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/(2\/22). Suppose -3*j + 6*z + o = z, 0 = 3*j - 3*z - 9. Differentiate -6*h**4 + 2*h**4 - 3*h**4 + 5 + j*h**4 wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13*a - 160 = 119. Let n(t) be the first derivative of 17\/4*t**4 + 0*t - a + 0*t**3 - 5\/2*t**2. Find the second derivative of n(y) wrt y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppmmpmpmppkmmm. What is prob of picking 1 p and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2253697725 to the nearest integer?\nAnswer: 47473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1 - 3*z**2 + 0*z + 4*z**2 - 10*z. Calculate the least common multiple of v(10) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 5*t = -69, 5*t = 0. Suppose -g + 4*a + l = 0, 0 = 2*g - 3*a - 2*a - 52. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 114438*h + 2747664 = 0. What is h?\nAnswer: -57243, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111917067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-30) + (-2)\/(-3). Let q = u + -2. What is the remainder when 20 is divided by 2 - (-4)\/((-2)\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -2\/203, 1\/6, 2, 134?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let t(j) = j**2 - j + 7. Let o be t(0). Is 24 a factor of -16*(o\/s + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 - 424*q**3 - 2575*q**2 - 2150*q = 0. Calculate q.\nAnswer: -5, -1, 0, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:05 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4*0)\/1. Suppose 4*v + 362 = 5*p, -6*v - 68 = -p - 3*v. Let s be ((-8)\/(-14) + 0)\/(p\/(-259)). Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48702?\nAnswer: 2, 3, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 9712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. Let i = 0.13 - -4.87. Let o = i + r. Which is the nearest to o? (a) 1\/9 (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let m(o) = 10 - 7 - 3 + 2*o**2. Calculate i(m(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/2)\/(0 + 4). Let o = y + 5\/8. Which is the second biggest value? (a) o (b) -0.6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.2 + 18. Let t = -0.056 + -0.034. What is the nearest to 0 in -4, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2*1)\/((-17765)\/(-1870)). What is the smallest value in 4, c, 117?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12194079341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -4, -223, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/35 + (-9)\/(-7) + -1. Solve 2*q - 5*l + 9 = -m*q, -q = 3*l - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*m + 80 = 3*v, 3*m + 262 = 5*v. Let a be (-2)\/(-11) - v\/(-88). Factor 0 + q**2 - 1\/4*q - a*q**3.\nAnswer: -q*(q - 1)*(3*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flllflllllll. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 49*q**2 - 3*q. Let s(d) = 3*d**3 + 50*d**2 + 4*d. Calculate -3*s(p) - 4*u(p).\nAnswer: -p**3 + 46*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: d11 (base 16) to base 8\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q**(4\/7)*q*q)*q)*q*q\/(q\/(q**(-3)\/q)*q))\/((q*q**(31\/3))\/q*q**29) assuming q is positive.\nAnswer: q**(-856\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8981.031mg to micrograms.\nAnswer: 8981031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117207 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -223\/3 - -75. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26062?\nAnswer: 2, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765600 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -25. Let n(z) = z**3 + 8*z**2 - 35*z - 26. Let b be n(-11). Let a be 5 + 3 + -6 + (1 - 1). Sort b, x, -2, a in descending order.\nAnswer: x, a, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k + k**2 - 2 + 4*k + 12. Suppose 0 = 10*n + 30*n - 360. Does 19 divide x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h*r**3 + 12549*h*r - h - 13828*r**3 - 4 wrt h.\nAnswer: -3*r**3 + 12549*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w**2 - 5*w + 6. Let v be j(-6). Let g(d) = -5*d**3 + 42*d**2 - 15*d - 4. Let x be g(8). Put x, v, 2 in descending order.\nAnswer: x, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrtttt. Give prob of sequence trrt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7136 or -0.258?\nAnswer: 7136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -327 + 455. Is k <= 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l + 73*l + l**3 - 29*l)*(-1 + 1 - 5).\nAnswer: -5*l**3 - 340*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*v + 2*u + 25, -v + 20 = -4*u. Suppose v = -5*t + t - 16. Let s = -1 - t. Solve -4*l - 5 = 3*r, l + 8 = -0*l - s*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072516 is divided by 78.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -9*c + 13*c - 2*u, -5*u + 15 = 0. Let f(z) = 0 + 3 - 2*z - 2. Determine f(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 14*v - 20. Let o be r(-19). Let n = o - 73. Sort -0.2, -7, n in ascending order.\nAnswer: -7, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/4 + (-2)\/(-8). Let l(p) = p - 5. Let x be l(j). Find the second derivative of -3 - t + 3 - x*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27831.94196 rounded to zero dps?\nAnswer: -27832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let q(n) = -52*n**2. Determine q(b(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6349 is divided by 3172.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**4 + 851*f**2 + f - 199486 wrt f?\nAnswer: 12*f**3 + 1702*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (-9 + (20 - (14 + 21))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 13784*h - 152108.\nAnswer: 4*(h - 11)*(h + 3457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 218\/9 + -7 - (-4)\/(-18). Let m = -63 + 216. Calculate the greatest common factor of y and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1811 + -1811. Let a(p) be the second derivative of l - 1\/120*p**6 + 3\/40*p**5 - 1\/2*p**2 - 14*p - 13\/48*p**4 + 1\/2*p**3. What is f in a(f) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 2\/15, 0.026, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -818118, -818117, -818126, -818151, -818198, -818273, -818382, -818531?\n\"Answer: -v**3 + v**2 + 5*v - 818123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38844 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Suppose 2*y + 3 = v*y. Let p(r) = r**2 + 1. Calculate the lowest common multiple of 22 and p(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 2*p - 4*p. Let q be t(2). Let v = -2 - q. Let n(h) = h**3 + 3*h**2 - 2*h - 3. Calculate n(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-116)\/(-406).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 3 + -22 + 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p**2 - 5*p - 120 + 0*p**4 + p**4 + 125. Let x(w) = 21*w**2 + 6*w - 6. Let o(m) = -6*q(m) - 5*x(m). Find the third derivative of o(f) wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.054 - 11. Let w = 0.454 - t. Which is the nearest to -0.3? (a) w (b) -0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23225087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 - 6*a. Let f be t(-6). Suppose -z - 4 = 3*h, f = -4*z - 4*h + 21 + 3. Solve z = -5*m + 5*u - 4, 4*m + 21 = -5*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 59 = 146 - 40 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/(i\/i**(-2\/21))*i\/(i*i*(i\/(i**(-9)\/i))\/i)*i*i\/(i*i**(-4)\/i))**(-38))**(8\/15) assuming i is positive.\nAnswer: i**(58064\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000101100 + -10?\nAnswer: 11110000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j + 3. Let v be p(-1). Let a be -3 + 4 + 3 - v. Suppose 2*g + 66 = 6*g + a*m, 5*m - 15 = 0. Solve 0 = -l - 2*l + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/17 in -3, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -688\/7. Let g = -1.5 - -2. Let d = -0.6 + g. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/26 and 81\/376?\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i. Let j be d(-3). Suppose 4*x + l = 21, 4*x - 30 = -x - 5*l. Suppose 3*y + 2*y - 50 = x*f, f = 5*y - 46. Is y > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 528704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229000\/168*1 - 6\/63.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j - 3. Let g = 3 + -9. Let z be (6\/(-4))\/(3\/g). Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 2*u + 8*k + 1, -2 = u - 2*k. Suppose 2*l = u*l + 5*y - 19, 3*y = 5*l - 32. Solve 16 = -l*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72)\/sqrt(2) + ((1*sqrt(360))\/sqrt(10) - sqrt(36)))\/(sqrt(96)\/((sqrt(8) - (-1*sqrt(800) + sqrt(800) + sqrt(800))) + sqrt(8)))*-5.\nAnswer: -160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -47358*q**4\/7 - 6858*q**3 - 16434*q**2\/7 - 1970*q\/7 - 24\/7 = 0?\nAnswer: -1\/3, -12\/877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -51. Solve -4 = -2*a + s - 5, 4*s = -a - z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t - 8. Let n be (-3)\/t*(-340)\/(-30). Calculate the greatest common factor of 136 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -34. Suppose -i = -1, 3*i - m = -w - w. Suppose -y + 5*a = 25, -w = -4*y + 5*a - 39. Solve y = -f - 3*f - 3*u + 7, -2*u = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/2 + 106*l**4\/3 - 763*l**3 + 882*l**2 - 30*l. Let t(n) = 0. Calculate n.\nAnswer: 2\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33323412 times 5\nAnswer: 166617060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2498160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 1\/2*z**2 - z - 110. Determine m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*a**2 - 805*a**2 - 595 + 1598*a**2.\nAnswer: 2*a**2 - 595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3590740 and 211220?\nAnswer: 3590740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 0*i - i)*(-3 + 1 + 1)*(3354*i + 758*i + 54*i + 264*i + 1959*i) to the form u*i**2 + j + c*i and give u.\nAnswer: 6389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(m**2 - m**3 - m**2) + m**3 - 6*m**3 + 3*m**3 + 5*m**3 - 3*m**3 - m**3 - 5*m**3 + 0*m**3 - 5*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 - 84 - (1 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 18285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2115 = -3*t + p, 3*t + 3*p = 6*p + 2109. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6907 * -216091\nAnswer: -1492540537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bitp when four letters picked without replacement from {o: 1, b: 1, i: 1, p: 1, t: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1203311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/264 and 93\/1391852.\nAnswer: 8351112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -10*j + 66. Calculate the lowest common multiple of 24 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138 - 138 - 17*h**3 + 0*h**2 - 2*h**3 + 0*h**2 + (-1 - h + 1)*(-4*h**2 + h**2 + 2*h**2).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38997?\nAnswer: 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**4 - 53*j**3 + 389*j wrt j.\nAnswer: 108*j**2 - 318*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813456618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 101) + 466 + -428.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 3) + -1 + 7. Suppose 0 = 2*d - 5*d + p. Let o(r) = -r + d - 4 + 2. Give o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 3196 = -26*s - 104 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, z: 3, w: 2}. What is prob of sequence wzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10625 - 10624 - 154*n**3 + 2*n - 16*n**3)*(3 + 1 - 2).\nAnswer: -340*n**3 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -444.8 and -12?\nAnswer: 5337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5488 = -219*k - 67*k + 518 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x - 13 - 2*x - 10*x. Let d be g(8). Suppose 0 = 3*w + d - 12. Calculate the greatest common divisor of w and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8 - 0. Let i(j) be the second derivative of 0 - j**o - j + 1\/6*j**3. What is the derivative of i(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 54720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1. Let c be (20\/(-6))\/((-3)\/9). Let m(a) = -c + 0 + a - 2. Give 22*i(n) + 2*m(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 + 1115 = -289*z. Let p(a) = -a**2 - 8*a - 3. What is p(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 16. Let q be a(-10). Let j = q + 22. Suppose 0 = 9*c - 4*c - 25. Sort 3, j, c in increasing order.\nAnswer: j, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*p**4 - 465*g**3*p**3 + 110*g**3 + 3*g wrt p?\nAnswer: 4*g**3*p**3 - 1395*g**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 376, 4, 3\/8, 0.9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80331 is divided by 659?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, 331, -0.3, -0.9, 2\/17 in decreasing order.\nAnswer: 331, 2\/17, -0.3, -0.9, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -3*u, 4*u - 9 - 1 = -2*w. What is the biggest value in u, 0.3, 3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35460 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421*c**2 - 9 + 770*c**2 + 458*c**2 - 29*c wrt c.\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4042 - 4?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-29 - 1) + -18 - -8?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340811 is divided by 3704.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25520145821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6*x*x**(6\/5)*x)\/(x**6*x**(-5)) assuming x is positive.\nAnswer: x**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-20)*j)\/(j\/j**(-1\/3)*j*j)*j**(-15)\/(j*j**13) assuming j is positive.\nAnswer: j**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:10 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/6)\/(10\/(-24)). Let s = 236 + x. 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: Collect the terms in 834*f + 2891*f + 153*f.\nAnswer: 3878*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 569244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10875, 10865, 10851, 10833?\n\"Answer: -2*a**2 - 4*a + 10881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15807 less than or equal to 15825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)**(-5\/11))**(-18\/7)*(s**(1\/3)*s**(1\/14))\/((s*s**(-3))\/s**3) assuming s is positive.\nAnswer: s**(3037\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3242\/3 - 6365\/6. Let f be 2\/3219*88034\/8. Let h = f + -4\/1073. Calculate the common denominator of i and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/12)\/(l*l*l**4)*(l**(-1\/4))**(-33) assuming l is positive.\nAnswer: l**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 18 - (-67 - -61)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 5 + 4*m**2 - 3*m**2 + 0*m - 5*m. Let x be b(8). Let z = -704\/1065 - 2\/355. Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from eekqdkqewdwwe.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 5*n - 1. Let h be d(4). Suppose h = -6*t + 11*t. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/79496 and -61\/2092?\nAnswer: 79496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 28*t + 25*t - 59*t + 6*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(448)*2 + -1 - (sqrt(84) - (sqrt(84) - 2*sqrt(84)*-4))\/(sqrt(48)*4 + sqrt(12)))**2.\nAnswer: -1520*sqrt(7)\/9 + 163753\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcppcpgc. Give prob of picking 3 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 9*i + 16*i to the form m + o*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000521 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-9) - -12)*(-4)\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1470 - -1363.43. Let h = 100 + b. What is h rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m**5\/25 - 2*m**4 - 244*m**3\/15 + 524*m**2\/5 + 1248*m\/5 - 1762. Solve f(n) = 0.\nAnswer: -6, -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6 + 2*u + 0 + 5. Let y be x(-1). Let q be ((-2)\/6)\/(y\/351). Calculate the greatest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 154047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -12. Let c be n\/9 - (4\/3)\/(-4). Find the third derivative of 344*b - 344*b + 22*b**c + 7*b**2 wrt b.\nAnswer: 528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252000 > 251998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/11)*f\/f**(-3))**28 assuming f is positive.\nAnswer: f**(1596\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-4\/21) assuming z is positive.\nAnswer: z**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/2*z**3 + z**2 - 1 + 1\/12*z**4 + 10*z. Determine i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21131223 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 32*c - 58 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 723421969*d**2 - 4*d + 86611966.\nAnswer: 1446843938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 548962321 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d**2 + 0*d)*(-239 - 424 - 268).\nAnswer: 2793*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/25)\/i)\/(i\/(i\/((i*i**15)\/i))) assuming i is positive.\nAnswer: i**(-399\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4095)\/975)\/((-120)\/25 - (-3 - 2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 - 4*i - 11. Let t be b(5). Is 219 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374 + 373.068. Let m = -0.058 + t. Let o = m - 0.01. Which is the nearest to o? (a) -0.5 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.005 + -20.4. Let z = t - -1.4. Let g = z - 0.00685. Round g to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*w + 3. Suppose -3*d + 0*d + 2*g - 163 = w, 0 = -2*d + 3*g - 107. Let f = 9 - d. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - -1) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -848921862*f*o**2 + 913*f + 403069*o wrt o.\nAnswer: -1697843724*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566 = -62*a + 1256 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 370 - 370 - 41*y**4 + (-2*y - 2*y**2 + 2*y)*(-y**2 - 3*y + 3*y) + 2*y**4 + 0*y**3 + 0*y**3 + (0*y + 0*y + 3*y)*(y - 3*y**3 - y).\nAnswer: -46*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = s. Suppose 7*m - 3*m = s. Solve -3*g + 10 = y, 0*g + 2*g + 2 = -m*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8772 and 106554.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139, 127, 99, 49, -29, -141?\n\"Answer: -u**3 - 2*u**2 + u + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v - 94*v - 12 = 4*o, -4*o - v = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -442333.26 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express 150*n**2 + 3*n**3 - 13*n**2 + 1 + 86*n**2 - 5*n**3 + 93*n**2 in the form d + r*n + u*n**2 + x*n**3 and give u.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3540.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25815906089512 less than -0.6?\nAnswer: -25815906089512.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574065 is divided by 1990?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -4*o + 3 + 1\/6*o**3 + 0*o**2 - 6\/5*o**5 + 0*o**4. Give f(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395823.\nAnswer: 3, 131941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*i = -74*i - 197 - 399. Solve 5*g - d = 7 - 5, -i*d - 8 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17577 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 12 - 44. Let r = -24 - j. Let z = r + 17. Solve -5*o + 2*o + z = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 19*w**4\/78 + 5*w**3\/39 + 3*w + 116. Determine r so that y(r) = 0.\nAnswer: -5\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584) + sqrt(1584) + sqrt(1584) + (-1*sqrt(1584) - sqrt(1584))*-4))\/((sqrt(1944)*1)\/(sqrt(6)*-2*-1))*-1.\nAnswer: -220*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.12. Let c = 134.94 - 130. Let z = c + -1.94. What is the nearest to n in z, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 3 + -1 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: da (base 15) to base 16\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12382 = -g, -2465 = -r - 7*g + 3*g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112700 and 1050?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (140925\/(-50))\/((-6)\/20)?\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 19*x - 28. Let f(i) = -2*i**3 - i - 2. Let s be f(2). Let w be z(s). Sort -3, 1, w, 3 in ascending order.\nAnswer: w, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and 89\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*n + 3*o, -2*n - 13 = 82*o - 79*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + 271*z**2 + 35*z - 11517. Determine w(-67).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((3 - 4) + -2). Suppose f*h + 8*x = 3*x + 92, -5*h + 175 = 4*x. Calculate the remainder when h is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let i be d(6). Let n = i - -11. Solve -4 - 1 = n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32, 1, 0.5, 0.2 in decreasing order.\nAnswer: 1, 0.5, 0.2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 353063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21341802359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4)*2)\/(2\/(-16)). Suppose 5*v = -2*z - 3*z + 20, b*z - 1 = v. Sort z, 3, -1 in descending order.\nAnswer: 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.35, 3, 1\/2, -0.2304, 0.1, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose 0 = -l + 2*m + 4, -4*m + 84 = 3*l + 92. Let z(n) = -10*n**q + l + 11*n**2 + 6*n + 6. Give z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 272, 549, 846, 1163?\n\"Answer: 10*f**2 + 247*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36942951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - (-180)\/8)\/(4\/112)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/209756 and -6\/262195?\nAnswer: 1048780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 3*h**2 - 3 + 2 + 3. Let n be q(2). Let l(o) be the first derivative of o**3\/3 - 7*o**2\/2 + 2*o - 76. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-68)*2584\/(-228).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 23*h - 34. Determine z(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80\/51 - -4\/17. Suppose 3*o + 9 = 2*w + 16, -5*w - 2*o = -11. What is the closest to -7 in w, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + 1.72. What is the closest to n in 5, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270637911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen fifths of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + 2 + (5 + (sqrt(891) + 1)**2 - (sqrt(891) + -1)*5) + -4.\nAnswer: -27*sqrt(11) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -6 + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563 (base 8) in base 2?\nAnswer: 101101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 17 = -4*i, -12493*i + 12492*i = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 0.2 (d) 4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 5*c - 3. Let a be r(3). Which is bigger: 7\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 - 11*x**4\/24 - 4*x**3\/3 + x**2. Let i be u(-9). Solve 0 = r - 2*g + i, -11 = r - 2*r - 5*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/328 and 103\/738.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 53. Calculate t(25).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-2*g**4 + 3 - 3) - 2*g**3 - g**4 + 2*g**3 + g**3 - g**3 + g**4 + (0*g**3 + g**3 - 2*g**3)*(g + 0*g - 2*g).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3332033211 (base 4) to base 12\nAnswer: -422799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {b: 1, k: 7, j: 1, h: 2, x: 4, s: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 208*h + 2. Let i(x) = 438352*x. Determine i(a(r)).\nAnswer: 91177216*r + 876704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 866 and -3.27?\nAnswer: -2831.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let r(p) be the second derivative of 11*p**3\/6 - 5*p. What is r(m(n))?\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/36*-3 - 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -3, 19, 73, 171?\n\"Answer: 2*k**3 - 2*k**2 - 6*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*t - 23, 3*t + 5 + 4 = 0. Let u(c) = 13*c - 10. Let f be u(-6). Let x = -52 - f. What is the greatest common factor of k and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 + 3*n**2 + 4*n - 3. Let r(t) = 6*t**2 + t**3 - 7*t**2 - 2 + 3. Let m(u) = -b(u) - 3*r(u). Find the second derivative of m(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/120 - s**5\/10 + s**4\/8 + 4*s**3\/3 - 2*s**2. Let w be b(-6). Is ((-191)\/2)\/(5\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 3. Let z be x(-4). Solve 5 = -2*i - z, 5*c = i + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h + 5671 - 4867 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27720.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 9*p - 7. Let d be i(7). Let l(n) = -3*n + 6. Let x be l(d). What is the units digit of (3 - -2)*(-12)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/81)\/(259\/74).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4358 less than 0.1?\nAnswer: 4358.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 15813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10202020?\nAnswer: -10202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/9)\/q**3 assuming q is positive.\nAnswer: q**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 7*m**3 + 4*m**3 + 8*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2123 - 4?\nAnswer: 211b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*a + 0)*(-3 + 3 + 2) + (52*a - 149*a - 101*a)*(2 + 1 - 5) in the form s*a + p and give s.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - p + 1 + (6 + 39 + 0)*(-3*p + p + p) to c + i*p and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183178 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 4. Suppose -2*u - u = -9. Suppose u*i = 7*i - 12. Give z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170.308 + -173.4. Round a to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-195)*24\/(-32)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1054*d - 3271. Is f(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.267 + -0.067. Which is the closest to 0? (a) p (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 993. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 847?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 14*m**2 - 126*m - 36. Give v(21).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(-4) + 1\/(-4). Let m be n\/4*28\/(-21). Solve w - m - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-678)\/(-57) + 4\/38. Suppose -28 - j = -10*f. Solve -5*m - 6 = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.706596 minutes?\nAnswer: 522395760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217*755\/112344*2\/(-14)?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*0\/(-2). Suppose -4*q + 5*p = -40, 3*p + 2*p = 0. Suppose 3*h - q - 26 = z. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v = -48*v. Let k = 259\/3 + -87. Is v < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/399*((-3)\/(-21) - (-6)\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(sqrt(5) + sqrt(125)) + (sqrt(1584) - (4 + sqrt(1584))))**2 - ((5*(sqrt(1331) + 2))**2 + 5)) + -3.\nAnswer: -1201201\/36 - 3304*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 1)*(3*c + 2*c - 2*c + 0*c + 3*c - c - 2*c - 4*c + 3*c + (-c + 4*c - c)*(3 - 1 + 0) + 2*c - 3 + 3 + 0 + 0 - c)*(-16*c**3 - 83*c + 83*c).\nAnswer: -896*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 92489980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2304)*-1)\/(sqrt(12) + sqrt(36)\/(sqrt(3)*2)) + 0.\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 1484.23.\nAnswer: -1187.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4947 is divided by 546.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 162 = -21*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y**2 - 16*y + 15. Let h(u) = 60*u**2 - 62*u + 58. Let j(i) = -6*h(i) + 23*q(i). Let s(d) = -4*d**2 + d - 1. Determine -6*j(c) + 22*s(c).\nAnswer: 2*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3096*v + 9201. Determine t(3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(2299) - -6*(sqrt(2299) + 1)**2) + 2) + 5 + 3.\nAnswer: 286*sqrt(19) + 27604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + z = 2372, 8*t - 5*z = 7*t + 812. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 7) to base 15\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2177*-3\nAnswer: 6531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291 - 289. What is the units digit of 685 + l - 1*(-4 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = -0*f + 78 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 4, 0.5, 5, -103, 34 in descending order.\nAnswer: 34, 5, 4, 0.5, -2\/21, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*q - b, 0 = -4*q + 4*b - b - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + -5 + (3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188 by -22.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 + 22 = 0. Let z be (16\/q)\/(2\/(-6)). Let n be ((-9)\/24)\/((-1)\/z). Is n smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 6*h - 4. What is the tens digit of 61\/(-1 - (0 - h))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, a: 1, e: 1, l: 1, p: 4, q: 5}. What is prob of sequence aqe?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.4 - 37. Let j = -1.6 - l. Let g = -160\/231 + 2\/77. Which is the nearest to g? (a) 2 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.5, -0.003, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -21. Suppose 5*s - 15 = -n, 0*s + 2*n + 6 = -s. Suppose 0 = z - 3*z + s. Solve 0 = z*x + x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from nduontp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86888 divided by 38.\nAnswer: -43444\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2288 and 5?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 + 557. Does 54 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 3, -46 in increasing order.\nAnswer: -46, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354104 is divided by 4266?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 26 = -3*k, 48 = 4*k - 4*j. Suppose 2*t - 9*m = -13*m + 370, 3*m + 762 = 4*t. Let f = 200 - t. Solve 17 = k*q - 3*q - o, f = 3*q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*s - 2*x, 5*s + 5*x = 17 - 42 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3407\/2 + -1704. Find the common denominator of o and -53\/125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -247128, -988492, -2224098, -3953946?\n\"Answer: -247121*q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3921 = -6*v + 9*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 243*r**2 - 45*r - 45. Let d(y) = 11*y**2 - 4*y - 6. Let h(n) = -55*n**2 + 21*n + 32. Let b(o) = -22*d(o) - 4*h(o). Give 45*b(s) + 4*f(s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305*l*p**3 - 680730849*l*p**2 - 551663*p**3 wrt p.\nAnswer: -1830*l - 3309978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.6. Let x = 0.05 - 0. Let o = 1.95 + x. What is the closest to -0.1 in n, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*a + a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let u = -4 + v. What is the closest to 0.1 in -0.5, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2840 and 43\/60.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(19845\/(-196))*5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12072?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2450 and 98.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -7 - ((-5 - -10) + -14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14923?\nAnswer: 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*f*q**3 - 1190*f + 2850*q**3 - 2*q**2 wrt f.\nAnswer: -10*q**3 - 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30456 + -4?\nAnswer: 30452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4331 + 4327. What is the nearest to p in 1\/5, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2271811.7 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let r(s) = -s**2 + 12433470*s + 2. Determine z(r(q)).\nAnswer: -2*q**2 + 24866940*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*g**3 - 181*g**3 + 362*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*j = -8*j - 12, 3*j + 6 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 5*l**2 + 5*l - 2. Let b be u(4). Suppose b*w - 6*w + 32 = -2*i, -2*i = 4. Factor 4*q + w + 13*q - 4*q**2 - 23 - q.\nAnswer: -4*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*i = -1 + 8 + 24, 4*i + 48 = -4*m + 8 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12919104535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/616548 and 65\/8608?\nAnswer: 4932384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2232000 = 127*l - 37*l. Round l to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -526, -606, -816, -1216, -1866?\n\"Answer: -10*s**3 - 5*s**2 + 5*s - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - -1. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 199248162 to the nearest 10000.\nAnswer: 199250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 13*y**2 - 10*y - 48. What is g(12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 64.8?\nAnswer: -259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9160 - 9113. Calculate the remainder when s is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10)\/(2\/5). Let d = 1 - o. Suppose 5 = 2*n + 11, -s = -d*n - 12. Solve 0 = 5*z - 3*a + 28, 0 = -s*z - 3*a + 2 - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 33, -38, 10, 3, 9 in decreasing order.\nAnswer: 33, 10, 9, 3, 2, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840210 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 754?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, s: 1, l: 2, u: 2}. Give prob of picking 2 u, 1 v, and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003260849 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 1. Solve k + 3*u + 6 = -2*k, 12 = -3*k + z*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -886389.9 rounded to the nearest one hundred?\nAnswer: -886400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwxmwxxxmwwwx. Give prob of picking 2 x and 1 w.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/5 - 602*j\/5 - 9656\/5 = 0.\nAnswer: -284, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -657*q. Let f(p) = -3*p**2 - 5*p + 856. Determine b(f(v)).\nAnswer: 1971*v**2 + 3285*v - 562392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*i - p, 5 = 4*i - i + 5*p. Let z be 2\/13 - i\/(-52). Which is the closest to z? (a) 0.1 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -47 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 1, k: 1, p: 3, l: 3, n: 2}. Give prob of picking 3 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -28. Let o be q\/5*(-40)\/32. Sort 1\/5, o, -0.1 in decreasing order.\nAnswer: o, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552 by -86.\nAnswer: 276\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(245) + 2)**2.\nAnswer: -84*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -44335.\nAnswer: -44334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*z - 5*c, -4*z + 15 = -7*c + 2*c. Suppose 0 = d - 2*d + 2. Suppose 38 = d*f + j, 3*f - j = 7*f - 78. Solve -3*m = m - r + 7, z*m = -r - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1171376646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 + 1 = 0. Let k = -2396 + 2395. Let u be (t + (-5)\/1)\/k. Solve -5*x + 3*x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146235 (base 9) in base 14?\nAnswer: -24a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 - 17*u + 2. Let m(a) = 2*a**2 + 24*a - 1. Let i(v) = h(v) - m(v). Let y(k) = 2*k**2 - 20*k + 1. Calculate 3*i(r) - 7*y(r).\nAnswer: -2*r**2 + 17*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10821191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*v - 18583 - 8083. Solve -397*n = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49 (b) 10 (c) -0.1 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 15, 4, -5, -4.45, -12\/43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, 61, 61, 63, 67, 73?\n\"Answer: y**2 - 5*y + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/3 - 6*i. Let b(c) = 12*c**2 + 2*c - 2*c. Let f(s) = 3*b(s) - 8*q(s). Let j(r) = 2*r**2. Calculate j(f(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u)**19\/((u\/u**(-4))\/u**(-4))*(u**(-1\/3)*u)**(-2\/35)\/(u\/(u\/u**1)*u**(2\/9)\/u) assuming u is positive.\nAnswer: u**(18257\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 12*u + 11. Suppose j - 5*j + 40 = 0. What are the prime factors of s(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**0\/n))\/n)**(-5))**(-49)*(n**1*n*n\/((n*n*n*n**(1\/4))\/n))\/((n\/(n\/(n**(-2)*n)))\/n*n*n**(-4)) assuming n is positive.\nAnswer: n**(1003\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zexxpsce. What is prob of sequence pzs?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 4 = 0. Calculate the least common multiple of 3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28902 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.2 + -33. Let o = -0.059 + 0.259. Let j = o - d. What is the nearest to -0.4 in j, 0.1, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*v + 1926 = -5*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*y + 2*i - 1477, -1838 = -5*y - 2*i. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -10. Let d = 4 - 1. Let r = -7119 + 7114. Sort t, 0.2, d, r in ascending order.\nAnswer: r, t, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8 - 1\/8*v**2 - 1\/4*v = 0 for v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4741444 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*f - 9 = 0, -4*d + 12 = -2*f + 3*f. Let s = 0 - d. What is the units digit of 2\/3 + (-16)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*u**5 - u**4 + 207*u**2 + 2813*u wrt u.\nAnswer: 620*u**3 - 12*u**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -15. What is the units digit of 41\/4 - 4\/z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + -4*1*2*sqrt(720))**2.\nAnswer: -276486 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:42 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -r*a - a + 18 = 4*t, 3*t - 10 = -4*a. Let n(z) = z**3 - 3*z**2 - 6*z + 7. Is n(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8496*c**5 - 8*c**2 + 61*c - 30?\nAnswer: 509760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(((-63)\/(-66))\/(108*18\/1188)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382022587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 82.97 and 0.16.\nAnswer: 83.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 62*h - 36. Calculate y(59).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356\/13 >= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(80) + sqrt(5))**2 + sqrt(5) + -1.\nAnswer: sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 7. Suppose 0*x = -x + 4. Suppose 4*q - o = 19, 0 = x*o - 4. What is the smallest common multiple of q and z(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxuyuuuynnuyjuy. What is prob of sequence uy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70934*f = 71923*f + 111757 for f.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369769756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*s + 16388 - 16333, 5*s = 5*y + 75 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*d + 88, -2*i - 2*d + 47 = -15. Do i and 1\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -2 - 3)\/(-1). Differentiate -2 + o*u**2 + 2*u**2 - 3*u**2 - u**2 wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:12 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 589182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1036.73 (b) 9 (c) 0.2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(10)*-2))\/(sqrt(864)*1 + sqrt(864))*3*-6*4.\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18257710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 132 + 303. Suppose 5*z - b = 600. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 25*o**2 - 154*o + 6. What is g(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/3 - (261\/(-35) - 12\/20).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20)\/((-2)\/(12\/27))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230379 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/2 + 223*c**2\/2 + 118*c - 1344 = 0.\nAnswer: -4, 3, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*c**4 - 93 + 118*c**4 - 83 + 8*c - 233*c**4 + 45 in the form k*c + h*c**4 + g*c**3 + a*c**2 + o and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 390202 + 62.3908607\nAnswer: 390264.3908607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - -84 - (20 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1269*k - 3560 + 3560)*(3*k - 2*k + k).\nAnswer: -2538*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, -2, 5, -11, -5.\nAnswer: -11, -7, -5, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/21 + -2 + (-4 - 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyuujd. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, u: 2, g: 4}. What is prob of sequence duu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -2 + 0 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Suppose 4*d = 5*d. Put 3, w, d in descending order.\nAnswer: 3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -20487295.\nAnswer: -1\/20487295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**45*h*h**(2\/15)*h*h*h\/h**4 assuming h is positive.\nAnswer: h**(1352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -29)*-1*3\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 + 2.6. What is the closest to -1 in -4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 + -14 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62617 from 30.2694.\nAnswer: -62586.7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -421\/2 + 218. Let m = y - 7. Let b = 4833\/11 + -439. What is the closest to m in b, 0.3, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 + 189 + (-10 - (2 - 0 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*z**2 + 35 + 6 - 76 - 14*z**2 wrt z?\nAnswer: -200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**8\/7 + 5*u**4\/4 - 14*u. What is the third derivative of j(a) wrt a?\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 47 = 2*d. Let i be (-6)\/6 + d + (-1 - 0). Solve 2*a + 6 = -i*n, 0*a + 2*n + 1 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -l + 10 + 106, -3*x = 3*l - 177. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 3*d - 15, -4*d - 31 = 5*j. Let i be (-12)\/4 + 6 + (0 - 13). Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 9, -1, -11, -21, -31?\n\"Answer: -10*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4*l**4 + 11)*(3 + 1 - 5) - 6*l**4 + 0*l**4 + 0*l**4.\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = h + 3 + 1, 3*s = -3*h + 6. Solve -4*v - s*k + 8 = 0, 0 = -2*v - 3*k + 4*k - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4, 6, 1 in increasing order.\nAnswer: -4, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by 3?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485678 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04509 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16 + 16. Suppose 0 = -4*v + m, -5*v - 2 = -3*p - 0. Let o(j) = j**3 - 5*j**2 + j - 1. Determine o(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6584 is divided by 601?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/99? (a) -1\/16 (b) -1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**4\/4 + 363*v**3\/2 + 17043*v**2 + 344394*v = 0.\nAnswer: -38, 0, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-5*sqrt(700)*-1)**2 + (-5*(2*sqrt(700) + sqrt(700)))**2 - (-4 + (sqrt(700) - (sqrt(700)*2 + sqrt(700))))*-6))*5.\nAnswer: -600*sqrt(7) + 874890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 3. Let c be d(0). Suppose -3*t - 5*g + 166 = -29, 0 = -g + c. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2735, -2739, -2745, -2753, -2763, -2775, -2789?\n\"Answer: -g**2 - g - 2733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-7 + 347 + -6). Let a = 442 + m. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2458.053 + 2465. Let x = y + 0.053. Which is the closest to x? (a) -1\/7 (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - 2 - -4. Let w(u) = 2*u + 0*u - n*u - 7*u**2 + 0*u**2. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {l: 5, h: 2, u: 1, y: 1, t: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/15)*x))\/x**14*(x**14*x)\/x**(-2\/33) assuming x is positive.\nAnswer: x**(51\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 126380a (base 12) to base 5\nAnswer: 1411130120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.014 + -0.01. Let f = -20.996 - x. Let h = 20.92 + f. Which is smaller: h or 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = n + 21, -2*t - 5*n = 2*t + 84. Let c be (-2)\/(-4) - t\/(-6). Sort c, -5, 1 in decreasing order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-66 - 256 - 80)*(-2*t + 0*t + 3*t)*(-2*t - 2*t + 3*t + (0 + 0 - 2)*(-t + 0*t - t)).\nAnswer: -2412*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02191334197+148464\nAnswer: 148464.02191334197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(95)\/(sqrt(60)\/(sqrt(48)\/sqrt(4))))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -0.4, 0.1, -2\/13, -2, 2\/45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v - v + (37*v - 13*v + 32*v)*(3 - 3 - 1) to the form b*v + r and give b.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -541*y**3 - 170*y**2 + 3*y + 7236902 wrt y.\nAnswer: -1623*y**2 - 340*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 54.70734 centuries?\nAnswer: 5.470734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4637000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66644 is divided by 16656?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -54 and -52 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2381 or -3?\nAnswer: -2381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-56) + (-6)\/8. Let z be (0 + 1)*x + 113. Suppose -5*g + z = -18. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-11))\/(-8)*((-1575)\/14)\/9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**6\/w))\/((w\/(w\/w**(-3\/11)*w))\/w))**(-21\/2) assuming w is positive.\nAnswer: w**(315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Suppose -9*s + 16 = -s. Let f(w) = w**2 - 15*w**s - 12*w**2. What is q(f(g))?\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/4)\/(-23*(-45)\/(-2484)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose t = n - 8. Let a be (20\/n)\/(1\/2). Solve 4*v - 4 = a*j, -8*j = 4*v - 3*j - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 1. Let n(p) = -2*p**2 - 3*p - 2. Let g(u) = -4*u**2 - 5*u + 7. Let b(k) = -3*g(k) + 5*n(k). What is j(b(c))?\nAnswer: -12*c**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -1\/36, 4\/7, 27?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 88 - 360 = 0. Let x be k\/(-48)*(-3)\/1. What are the prime factors of (-136)\/(-14) - (-2)\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3)\/i*i))\/i*i**(-7)*(i**0)**(-5) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 5*z**2 - 48*z - 248. Let q be k(-6). Solve 2*a + q*y - y + 9 = 0, 3*a = -4*y - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**6 + 100299*b**5 - 68704*b**2 - 12*b wrt b.\nAnswer: -120*b**3 + 6017940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 9682 = -17*y + 2*w, -y - 2*w = -2419. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -14*t - 1. Let u(j) = -j + 1. Let q(y) = -6*u(y) + v(y). Suppose 18*g - 48 = 26*g. Let l(c) = -17*c - 15. What is g*l(s) + 13*q(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 61301*g + 858541. Determine r(-14).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 911.1418mm?\nAnswer: 911141.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34438?\nAnswer: 2, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84519706*r + 209118272.\nAnswer: 84519706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38204967?\nAnswer: 3, 17, 101, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 20. Let h be z(4). Suppose 5*t = -5*i + 490, -i = -0*t - h*t - 113. Let m = -63 + i. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**3 - 1190942*v**2 - 47220*v + 32?\nAnswer: -30*v - 2381884","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 14 - 27) + 7 + -39?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675 (base 13) in base 16?\nAnswer: 26aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341049.\nAnswer: 461, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3. Let o(f) = -11*f - 8. Let k(v) = 20*v + 15. Suppose 0 = 89*a - 85*a - 24. Let l(s) = a*k(s) + 11*o(s). Give -2*c(m) - 3*l(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/5782531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28002135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 68 (b) -1\/3 (c) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9699.598ml in litres?\nAnswer: 9.699598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:57 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81774 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-4)*(-2)\/3. Let s = 0.01 - 0.11. Which is the biggest value? (a) -1\/3 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 + -0.3. Let h = 4.402 - t. What is h rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + q - 405 + 91, 0 = n - 4*q - 46. What are the prime factors of (-99)\/(-22)*n\/3?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**5 + g**4 + 1620*g**3 - 233*g**2 + 7*g?\nAnswer: -240*g**2 + 24*g + 9720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 6, 3\/5, 2, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 380*l - 122*l - 429*l.\nAnswer: -171*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -53075 to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*c - 12 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13, 19, 1, -10, 5.3, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365432*g**3*j*q - 47*g**3*j - 13*g**2*j - 6*g**2*q - 12*g*j - 2*j*q - 3*j + 7 wrt g.\nAnswer: -2192592*j*q - 282*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 9*i + 7. Let n(f) = -2*f**2 + 5*f + 4. Let z(w) = 7*n(w) - 4*o(w). Determine z(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 24. Calculate b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -777.\nAnswer: -4\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -906014 - 1478106. What is a rounded to the nearest ten thousand?\nAnswer: -2380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(396)\/(-5*sqrt(9)))\/sqrt(4) + (sqrt(5324)*-2)\/sqrt(4))*3)**2.\nAnswer: -7992*sqrt(11)\/5 + 1223379\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 + u)*(-2 + 2 - u) - 1248*u - 640*u**2 - 167*u**2 + 1248*u.\nAnswer: -808*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 12 + 46 + z + 61*z**2 - 84*z**2 as u*z + h*z**2 + s and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4484752?\nAnswer: 2, 280297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by 164\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*t - 1246 = -488 + 1321 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Let d = x + 4. Suppose 2*i - 4 = -2*i. Which is the closest to -1? (a) 1\/3 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 1. Suppose 3*a = -3 + 12. Let o(v) = 7*v. Let p(b) = a*o(b) + 4*j(b). Determine p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15744.35 to the nearest 10.\nAnswer: 15740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -20. Let h = -8.21 + 7.81. What is the nearest to o in 3\/5, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c**2)*(-13*c + 28 - 28)*(1 + 8 + 1).\nAnswer: -130*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -692, -1337, -1840, -2129, -2132, -1777, -992?\n\"Answer: 12*b**3 - b**2 - 726*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*66\/11*(2967\/(-184))\/43\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 + 5*d. Let y = 27 + -35. Let l(i) = 12*i**2 + 8*i. Let z(o) = y*w(o) + 5*l(o). Let r(f) = -6*f**2 + 2*f**2 + 3*f**2. What is r(z(b))?\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y - 7*y + 7*y - 31*y + 9*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**2\/i)*i\/i**4)\/(i\/(i**(1\/3)\/i*i)*i)**(-3\/5) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -4383863405.\nAnswer: -4383863407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3330, -13504, -30462, -54204, -84730?\n\"Answer: -3392*d**2 + 2*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212674 divided by -30382.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let j = 7.3 + 0.7. Let a = -12 + j. Put q, 0.1, a in decreasing order.\nAnswer: 0.1, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 25452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -53*u - 7. Let z be f(3). Let p = -158 - z. Solve -7*h + 4 = -p*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231313689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-23)\/4 + ((-60)\/5 - -18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 - 43*b - 14. What is the remainder when g(-4) is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(sqrt(13) + 1))**2 + 2*sqrt(1053)).\nAnswer: 28 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 21\/16, -0.08, -1, -3, 11\/5, 10, 1\/2?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*k + 16, 2*k = 5*i - 20. Suppose -16 = -5*y - i*a, 2*y - 7 = -a - 1. Suppose w + y*o - 3 = 5*o, 0 = -w - 2*o. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. What is the smallest common multiple of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 18. Suppose -2*x - 136 = s*y, 7 + 141 = -5*y + 4*x. Let v = y + 42. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 82*y - 28. Give w(-40).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-21)*-6 + 524931\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 40. Let q be (k\/1)\/(-5) + 13. Suppose 0*v - q = -v. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 2\/11, 0.4, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32912.29mg in micrograms?\nAnswer: 32912290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 161, 172, 191, 218, 253, 296?\n\"Answer: 4*j**2 - j + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*k - 730 + 730)*(2*k + 3 - 3 + (-k + 0*k + 2*k)*(5 - 5 + 2) + 0*k + 4*k - k + k + 2*k - k).\nAnswer: -2142*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcdyhdwhc. What is prob of picking 1 y and 2 h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19715 - 433639\/22. Let w = 14054 + -477769\/34. Let n = 20\/187 - w. Calculate the common denominator of h and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -87.7?\nAnswer: 91.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a - 510 = 5*q, 6*q - 19*q + 10*q - 14 = -2*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 156442.1t?\nAnswer: 156442100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 75, 85, 95, 105?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3184 + 3189. Calculate the greatest common factor of r and 805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.974693 nanometers?\nAnswer: 0.001974693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 7 + 8)*(69 + 11 - 7)*(-3*n + 3*n - 2*n).\nAnswer: 6132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/10)\/l*l)\/l**5 assuming l is positive.\nAnswer: l**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9526?\nAnswer: 2, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-3 - 1 - 9)*(3*d - 7*d + d) in the form z + w*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 + 6*l + 5. Let r be f(-5). Let b(h) = h**3 - h**2 - 4*h - 1. Let g be b(-2). Put r, -4, g in descending order.\nAnswer: r, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2147 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.0800235\nAnswer: -4.9199765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2295726 (b) 2 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2071316 and 1049932.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 465*u**3 + 553*u**3 - 18*u.\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197570.88 months to years.\nAnswer: 16464.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/20)*b)\/(b\/(b\/(b\/b**6))*b*b) assuming b is positive.\nAnswer: b**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12660)\/(-6330)*2*1\/(-384)\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 62*q + 114*q - 2*q)*(112*q**3 - 4*q**2 - 66*q**3 + 5*q**2) to the form x*q + i + z*q**3 + g*q**2 + a*q**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*o - 5*o - 12, -4*o - 51 = -3*x. Let u be ((-2)\/2)\/(33 - x). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 1)*(c**2 + c**2 + 0*c**2) - 2*c**3 + 5*c**3 + 3*c**3 + c - c**3 - c.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 824994468 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -405825, -405806, -405763, -405690, -405581, -405430, -405231, -404978?\n\"Answer: n**3 + 6*n**2 - 6*n - 405826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 71, 5, -1\/13, 2, -2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-18)*45\/12. What is the biggest value in v, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 710 - 2 - 36\/9. Suppose 3*v = 5*v - 4*f - 476, -3*v + l = 4*f. Is v*(4\/1)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 356*m**3 + 640*m**2 - 30. Let t(v) = -1782*v**3 - 3201*v**2 + 144. Let w(a) = 24*f(a) + 5*t(a). Find the third derivative of w(k) wrt k.\nAnswer: -2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r - r**5 + r**5 - r**5 + r**5 + (-2*r**2 + 0 + 0)*(0*r + 0*r + r**3) - r**5 - 2 + 2 + 0*r**4 - 2*r**5 + 0*r**4 + 0*r - 2*r**2 - r**5 + 0*r.\nAnswer: -6*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -49. Let v(r) = -1. Let f(g) = -g - 7. Let m(z) = w*f(z) - 28*v(z). Let b(i) = -i. Give m(b(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Suppose 0 = -3*t + 3, -4*m + 2*t = -10 - 8. Let x be k(m). Let a be (-13)\/(-5) - x\/5. Is 2 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50105*u**4*y + u**4 + 16081*u**2 + 2*u*y wrt u.\nAnswer: -1202520*u*y + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 579505470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139387 (base 14) in base 5?\nAnswer: 133202400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12626573 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*4*(156\/48)\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371 + 407. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 4*q - 855 = 34*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 4, l: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)\/(f**(1\/4)\/f)*(f\/(f*f**(-1\/5)*f))\/f**2*((((f*f\/(f*f**(-8)))\/f)\/f*f)\/f*f**(1\/4))**(1\/7) assuming f is positive.\nAnswer: f**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3647, -15106, -34205, -60944?\nAnswer: -95323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203676 is divided by 101345?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, i: 2, l: 3}. Give prob of picking 1 l and 1 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*l = 92, -5*d + d + 2*l = -84. Calculate the highest common factor of 152 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -1, 8, 31, 74, 143, 244?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8 and (5\/1)\/(1312\/144)?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3144 and -31\/60.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/7))**(-16) assuming o is positive.\nAnswer: o**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 12*y**2 - y - 11. Let x(f) = f**3 + 6*f**2 - f - 6. Determine 3*p(c) - 5*x(c).\nAnswer: c**3 + 6*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174897688 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.5 (c) -3 (d) -4595\/3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -3*c - 435. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13608783 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.6 (b) -0.1 (c) -3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 18*u**2 + 31*u - 13. Let f be (18\/(-18))\/(1\/16). Let a be t(f). Solve -4*b + 3*q - 15 = a, -2*b = 3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 1628*h**4 + 223536*h**3 + 10711424*h**2 + 49414912*h + 57746496.\nAnswer: 4*(h + 2)*(h + 3)*(h + 134)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/95)*t*t**(-7))\/(t**(-3\/10)\/t)**(3\/41))**(-2\/13) assuming t is positive.\nAnswer: t**(3551\/3895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22025633 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -2193, -5089, -9319, -14985?\nAnswer: -22189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.85 * 0.5\nAnswer: 1.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 14*m**2 - m + 2. Let z(q) = -10*q**3 + 42*q**2 + 4*q - 7. Let d(g) = -591*g + 4135. Let k be d(7). Determine k*z(s) - 7*o(s).\nAnswer: -s**3 + 14*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 + 7*t - 7. Let p be m(-8). Let y(c) = -c**2 + 1. Let j(f) = 2*f - 3. Give p*y(l) + j(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3 - 5 + 1 - 4*f + 3 + 4*f**2. Suppose -8 = 9*j + 10. Let x be (j\/(-6))\/((-10)\/15)*-4. Calculate k(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 947*q - 923*q - 120 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*o - 1568*o + 45472 = -493*o - 520*o for o.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 12\/(-16). Let g(m) = k + 0 + 3*m - 4*m + 0. What is g(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 551*v**3 + 18*v**2 - 35*v + 2. What is the thousands digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 10. Suppose -13 - z = -4*q. Suppose 2*o = -q*l + 3*l + 68, -4*o = -l + 39. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000011111001101100100 + -1111?\nAnswer: -111000011111001101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -164441?\nAnswer: 164442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26589508 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2373 divide 64127952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**3 + 117*o**3 + 86*o**3 + 7*o**3.\nAnswer: 171*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2 - w**2 + 3 + 7*w - 6. What is r(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173938.\nAnswer: 2, 86969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14299 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49860, 199008, 447588, 795600, 1243044?\nAnswer: 1789920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u**2 + 1. Let a(d) = 19*d**3 + 7*d**2 + d + 2. Let o(t) = a(t) - 5*g(t). Let v be 1\/(3\/(-2) - -2). What is the hundreds digit of o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n - 8. Let t(a) be the third derivative of a**4\/8 - a**3\/2 + 8*a**2. Let p be t(n). Solve 20 = -5*k, -d = 2*d - 3*k - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 787?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 4:48 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -23. Let q be -9 + f + (2 - 0). Let n(g) = -g - 8. Give n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*r - 44, 3*r - 6*r = -t - 5. Suppose -z - t = m - 35, 4*z + 5*m - 112 = 0. Solve -4*c + 11*c = -z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115332 + -1?\nAnswer: -115333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -674, -538, -402?\n\"Answer: 136*n - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1063*v**2 - 10. Let s(w) = -222700*w**2 - 2096. Calculate 1048*p(h) - 5*s(h).\nAnswer: -524*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 9 = -3*l. Suppose 5*u = -k + l + 20, 20 = 4*u - 2*k. Which is the nearest to -2\/5? (a) -2 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (153\/12 - 18\/24)\/1. Suppose v*w = -6290 + 44246. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.227034 nanometers?\nAnswer: 0.000000001227034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3*t + 6)*(-9*t - 3*t + 3*t) - 11 + 11 + 2*t**2 in the form a + v*t**2 + i*t and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*h**2 + 4*h**5 + 35*h**3 + 63*h**2 - h**5 - 57*h**2 wrt h.\nAnswer: 180*h**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4317078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwkm when four letters picked without replacement from {k: 1, m: 4, w: 8}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 30 = 5*n, 6*n + q + 18 = 9*n. Let a(y) = y**3 + 6 - n*y - 9*y**2 - 2*y**3 - 5*y + 27*y - 4*y. What is a(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17316*n - 26330*n + 6521*n.\nAnswer: -37125*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 4. Let x be (16\/y)\/(1\/18). Solve -s = -5*s - x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2380.68 and 22.\nAnswer: -2358.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.16 - -0.16. Which is the smallest value? (a) 0.4 (b) i (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49967, 49955, 49957, 49991, 50075, 50227?\n\"Answer: 3*x**3 - 11*x**2 + 49975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3 - 69*b + 74*b + 2 + 4*b**3 + 4*b**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by (-6)\/36 + 67\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30639359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 1894*u - 255642. Determine k(-163).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81a2c8 + -84?\nAnswer: -81a37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfchshssshc. Give prob of picking 2 c and 1 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(22)*-1 + sqrt(22) - sqrt(22)))\/((sqrt(66)*-3)\/sqrt(6)).\nAnswer: -2*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -655828 at least -655838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1300) + -5 - ((sqrt(1300) - (0 + sqrt(1300) + 2)) + sqrt(1300)) - (-3 + -2*(-1 + sqrt(1300))*-6)) + 0)**2.\nAnswer: -3840*sqrt(13) + 332944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1518\/110 + (-1)\/(-5). Suppose -o*k + 10*k = -468. Let x be (-9)\/((-55)\/26 + 2). Calculate the highest common factor of x and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 3}. What is prob of picking 1 v and 3 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + (94 - (-20 + -29)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170936772 divided by -42734193.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 - 2*z - 1. Let b be w(-1). Let s be b\/(-12) - (-2)\/(-12). Let p(r) = r + 5. Let k be p(0). Put s, -5, k in increasing order.\nAnswer: -5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(-4*(4 + sqrt(63) + 1*sqrt(63)) + -2*sqrt(2268) + sqrt(63) + (sqrt(63) - sqrt(1008)) + -5))**2.\nAnswer: 2772*sqrt(7) + 30937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 - 14241*q\/7 - 7802040\/7.\nAnswer: -3*(q + 632)*(q + 4115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192085530 to the nearest integer?\nAnswer: 13859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 2 + 0)*(2 + 3 - 4)*(k**2 - 6*k**2 - 12*k**2) to m*k**3 + f*k + j + a*k**2 and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -48*q + u + 13, -28 = 4*q + 4*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*b + 12 = -3*l, -5*b = 2*l - 30. Suppose -l*d = 2*h + 95 - 268, -4*h = 5*d - 181. Suppose d + 12 = 3*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(280)\/(sqrt(40) - sqrt(10)) + 0).\nAnswer: 6 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*g*n**2 + 91*g - 12*n**2*z - z wrt n.\nAnswer: -96*g*n - 24*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:12 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 599495669 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387223643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**8\/1344 + 31*n**7\/840 - 23*n**6\/160 - 33*n**5\/80 - 2008*n**2. Let s(h) = 0. Calculate h.\nAnswer: -33, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*q + 1, j = -3*q + 35. Suppose -4*b = -3*i - j, i - 2*b + 6 = -b. Is 5 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 115 = 11*h. Let p = -1 - -3. Suppose 0 = p*d - 0*d. Solve 4*j - h = -6*r + 5*r, 4*r + 4*j - 32 = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -579530724*p**3 - 269144289 with respect to p.\nAnswer: -1738592172*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 8*o + 4. Let d be w(6). Let c(b) = -b + 1. Let h(z) = -2*z - 5. Let s(l) = 5*c(l) - h(l). Does 14 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**4 - 494*s**3\/7 + 4*s**2.\nAnswer: 2*s**2*(s - 7)*(35*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j + 5*l - 2, -4*j + 4*l = 0. Let v(c) = -j + 2 + c. Let h(z) = -3*z**2 + 0*z**2 + 5*z**2. Determine v(h(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y. Suppose y = -2*v - 4, -5*s - v = -31 - 52. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/3)*w)\/w)\/w**(-4)*w**(-6)\/(w**(1\/4)*w*w))**(-4\/25))**(-1\/7) assuming w is positive.\nAnswer: w**(-59\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1487135*a**2 - a**3 + 0*a**3 - 1487168*a**2 = 0. What is a?\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*i**3 - 68*i**3 - 6*i**2 - 52*i**3 wrt i.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/(-140)*10)*(-2)\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 9. Let i be (7 - -1)\/(z\/(-3)). Solve 2*r = i*t + 8, 2*r = -t - 0*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1870694, -1871080, -1871468, -1871858, -1872250, -1872644, -1873040?\n\"Answer: -z**2 - 383*z - 1870310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 85. Put -2\/11, r, -3, 1 in descending order.\nAnswer: r, 1, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4545788 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 0*j**5 - 4*j**5 + (0*j**3 + 0*j**3 - 2*j**4)*(4 + 12*j - 4) + 3*j**2 + j**5 - 3*j**2 - 28*j**4 - 13*j**5 + 28*j**4.\nAnswer: -37*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8454, -8456, -8458?\n\"Answer: -2*r - 8452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + 303433?\nAnswer: 304213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482.49 microseconds in milliseconds?\nAnswer: 2.48249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/2)\/((-282)\/(-41548)*17)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 11*h**2 + 3*h - 8. Is d(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*w**5 - 7*w**4 + 4*w**2 + 64 wrt w?\nAnswer: 1320*w**2 - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/4*12\/(-48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(288) + -1).\nAnswer: -2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let h(k) = 1 - v - 12*k - k**2 + 0*k**2. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/283599 + -554959\/3470968161. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -34 - 17*r**2 - 4*r**3 + 5*r**3 + 10*r + 40 - 3*r**3. Let v be l(-9). What is the common denominator of v*4\/(-78) + (-461)\/884 and -93\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**(-35)\/t)))\/t*t*t**(1\/31) assuming t is positive.\nAnswer: t**(-1146\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -508, -327, 862, 3599, 8424, 15877?\nAnswer: 26498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 54198018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -106. Let t = -0.118 + -7.982. Let g = t + j. Which is the smallest value? (a) 5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/15))**36)**1 assuming y is positive.\nAnswer: y**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2084 - -2134. Calculate the remainder when 335 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*b + 1480, -27 = 4*x - 7. Let l = 439 + b. Suppose l = n - 17. Is n a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + (24 - (16 - (-4 - -42)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**6\/60 - 208*w**5\/5 - 43264*w**4 - 71991296*w**3\/3 + 127*w**2 + 4*w. Solve m(k) = 0 for k.\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8 - -3) + (-22 - -24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 229868702.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*k - 2370, -14*i - 10 = -16*i. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 15. What is the nearest to 0 in 0.5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - (5 + -2)) - (-26 + (-20 - -85)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = -4*z. Let a be (-5)\/(15\/(-8))*z. What is the remainder when -2*(-18)\/a*-10 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awj when three letters picked without replacement from {a: 2, w: 1, j: 3, x: 6}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let b(v) be the third derivative of 0*v + 1\/24*v**4 - 10*v**2 + 0 - 2\/3*v**3. Let g be 21\/14*4\/(-6). Determine g*d(k) + b(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -43) + (-584 + 592)*(-2 + 3)*1\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 8 (c) 30.51 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**(2\/5)\/a)\/a)*a*a**15*a*((a\/a**1)\/a)\/a**14 assuming a is positive.\nAnswer: a**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38748 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63477 - -380861\/6. Let t = 14 + -9. What is the second smallest value in -0.8, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 18648*p\/13.\nAnswer: 2*p*(p - 9324)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 4*x = -13*x + 63525. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -17*o**3\/3 - 65*o**2\/2 + 716*o. Calculate t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3207 - 35?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.03, 2\/3, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(-21)*(-1)\/(-1)). Solve z*a + 20 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwwwwppppwwwwppwwp. What is prob of picking 3 p?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*t - 64 wrt t.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:51 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(1050\/(-240))*5\/(1870\/(-77))\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178262 is divided by 878?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -3*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {n: 1, h: 5, k: 1, t: 1, x: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-319)\/1914*(-28)\/2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73516580.\nAnswer: 2, 5, 3675829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 - t**5\/30 - t**4\/12 + 3*t**2. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 4}. What is prob of picking 4 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 98*d + 535 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o - 2*o + 19*o**2 - 15 + o**3 - 5 - 7*o. Let c be t(-20). Let h = c + 47. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -43 - (64 - (9 + 55)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/(w\/w**(-6))*w**(-3)\/w**3 assuming w is positive.\nAnswer: w**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -44, -65?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + -29)*7406\/(-49)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50218)\/227010 + (-10)\/235 + (-2)\/(-15)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215393.\nAnswer: 215393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 19*v**2 - 19*v - 16. Let n be t(20). Suppose -3*d - 15 = 0, n*o + 6*d - 3 = 5*d. What is the hundreds digit of (-14193)\/(-54) + o\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 14. Let u = -114 - -104. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 10*w - 13*w + 5*n, 0*n = -3*w - 3*n + 120 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-7) - ((-40)\/7 + 6). Let a be (n\/(-24)*-4)\/(1\/(-26)). Suppose 17*z + 18 = a*z. Solve 2*q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -2.2, 35, 4 in descending order.\nAnswer: 35, 5, 4, -0.3, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/6, 7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.29 + 6.2. Let p = -9.54 - -8.54. Which is the closest to -1\/2? (a) -0.2 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/295, 0.22, 3\/5, 1, 3, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**(2\/45)*(b*b**(2\/15)\/b)\/(b\/b**5))\/(b**(-1\/18)*b*b*b**(-3\/13))**(-38) assuming b is positive.\nAnswer: b**(121643\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2568, -5152, -7752, -10368, -13000, -15648?\nAnswer: -18312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76570, 76914, 77488, 78292?\nAnswer: 79326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5156\/15 - 344. Let q be (-14)\/60 + 1 + 0. Let m = q + n. What is the nearest to m in -2, 3\/7, 2\/13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 227855 or 224918?\nAnswer: 227855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*w + 105 - 127, 2*s + 16 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 890 and 2492.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*s**3 + 1469378*s**2 + 170589136*s + 4948450728.\nAnswer: -2*(s + 58)**2*(7*s - 735501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 34.5. Let r = u + 28.9. Let n = r - 47. Round n to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 640 by 16.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9695091+8257.73\nAnswer: 9703348.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.2906 centimeters in nanometers?\nAnswer: 2302906000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*t - 405*t + 358 + 204*t)*(-5*t + 5*t + t**2).\nAnswer: 2*t**3 + 358*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27791\/36 + 772. Let h(y) be the third derivative of 1\/90*y**5 + 0*y + a*y**4 + y**2 - 2\/9*y**3 + 0. Suppose h(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n, 19*x - 5*n - 4 = 18*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*m + 116*m + 117*m + 111*m - 457*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -768*x - 72152. What is g(-94)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1 + -9?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -94*l**4\/3 - 89*l**3\/3 - 191*l**2. Let k be w(4). Round k to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*l - 90*l - 17277 = 255*l + 187*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 47. Let c be f(13). Solve -9 = -5*k - 2*j + c, j + 7 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1096*w - 7764. Determine a(7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-14*j - 46 + 21*j + 26)*(0*j**3 - j**3 + 2*j**3) in the form l + y*j + g*j**3 + m*j**4 + u*j**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 24*q**2 - 5*q - 5. Let i(x) = -x**3 + x**2 + x + 1. Calculate -g(o) - 3*i(o).\nAnswer: o**3 + 21*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 960316099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-21)*s**(4\/17)\/s)\/(s*(s\/s**(-1\/9)*s*s)\/s*s**(-6)) assuming s is positive.\nAnswer: s**(-2888\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.01 - -9.5. Let b = -1.47 - -2.4. Let w = b + z. Round w to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/(-240)*-5*(-6)\/4. Let q(y) = 8*y**2 - 3*y - 1. Let z(w) = 8*w**2 - 4*w - 2. What is p*z(r) + 3*q(r)?\nAnswer: 8*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)\/s)\/(s*s**10*s))**(38\/3) assuming s is positive.\nAnswer: s**(-1558\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 15, 1, 1\/5, 3 in descending order.\nAnswer: 15, 3, 1, 1\/5, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38349, 56218, 74087?\nAnswer: 91956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7498 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*w**5 - 2*w**5 + w**5) - 2*w - w**5 + 2*w - w**4 + 3*w**4 + 2*w**5 + w**5.\nAnswer: w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 13) to base 9.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:21 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*l**2 + 47357*l + 4511218?\nAnswer: -10*l + 47357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 16*j**2 + 0*j - 5 + 13*j**2 + 4*j**2. List the prime factors of i(2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 less than -248778037?\nAnswer: -248778277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 72. Let c = -18 + g. Let b(z) = -z**3 + z**2 + z + 9. Calculate b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 - 4*m**4 - 6*m**3 + 80*m**2 - 100*m.\nAnswer: -m*(m - 2)**2*(m + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11343 + 23140 - 11191)*(3*o - 2 + 2) to the form x + t*o and give t.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 29, 4, 1\/4, 3\/5, -0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -619.63 rounded to the nearest ten?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0\/1)\/1. Suppose 0 = 4*b - 2*b - 3*v + 20, 3*v + 30 = -3*b. Let l be (1*(-36)\/b)\/(714\/255). Is a less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 623961179 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/(p\/(p**8*p)))\/(p**(-6)\/((p*p**(-6\/7))\/p)))**(-15) assuming p is positive.\nAnswer: p**(-1485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d7805 (base 14) to base 13.\nAnswer: 43b4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119, 138, 181, 260, 387, 574, 833, 1176?\n\"Answer: 2*p**3 + 5*p + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 51\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from ggrsggggrsrsgrggs?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 + 1. Let o(c) = -3*c**3 - 11*c**2 + 6*c + 8. Let u(q) = -o(q) + 4*s(q). Let y be u(5). Calculate the highest common factor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/20*g**5 + 0*g**4 + 0*g**3 + g**2 + 0*g + 2. Let u(o) be the second derivative of b(o). Let t(y) = 3*y. What is t(u(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45596.\nAnswer: 2, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2365, 2598, 2987, 3532, 4233?\nAnswer: 5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = n + 11, -2*b - 19 = 3*b + n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -3\/8, -8, 4 in descending order.\nAnswer: 4, 6\/7, -3\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 5*w**2 + 3*w**2)*(4*w + 0 + 0) + (-3*w**2 - 3*w**3 + 3*w**2)*(0 - 1 - 1) + 4*w**3 - w**3 + 5*w**3.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 1 + f + 3 + 2*f**3 - 2 - 1 as i + q*f**3 + p*f**2 + y*f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:51 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 15 - 17)*(0*x - 2*x + x)*((-6*x + 0 + 0)*(2 - 2 + 1) + 2*x - 8*x + 2*x) in the form w + d*x**2 + z*x and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -36. Let m(g) = 5*g + 20. Let i(s) = 14*s + 61. Let t(x) = 4*i(x) - 11*m(x). What is the remainder when t(-11) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1270, -2541, -3812, -5083, -6354, -7625?\nAnswer: -8896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 + 2*z**2 - 3*z**2)*(3 + 1 + 0)*(-5393 + 2699 + 2695) to the form y + a*z**2 + l*z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*k = 40, 148612*v + 42 = 148617*v - 4*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*d**4 + 822*d - 716*d - 1153*d - 671*d wrt d?\nAnswer: -3804*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 2)*(-50*z - 122*z - 122*z).\nAnswer: -2058*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-70)*6\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) 14 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:13 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -11 = -44081\/4339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1200\/148243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 539238 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*r + 371*r + 10280 = 124*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(p*p**(-5\/3)))**(-30\/11) assuming p is positive.\nAnswer: p**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.2 + 37. Let u = 1 + k. Put u, -4, 2\/21 in increasing order.\nAnswer: -4, u, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(441) + (3*sqrt(441) - sqrt(441))))\/(sqrt(432)*3).\nAnswer: 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0 - 2) + 1)*-2. Let o = 10 - 12. Let v = b - o. Solve 4*q = -4*k + 8, 0*k + v*q - 26 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 10, d: 2, b: 3, u: 1, p: 2}. What is prob of picking 1 u and 1 d?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -210 (b) 0.2 (c) 67 (d) 0.1 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*l + 16 = 100*l - x, -x = -l - 2. Which is the third biggest value? (a) 127 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5*c - 89. Let i be u(0). Round i to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(5 + 3*(sqrt(2299) + sqrt(2299)*3*5))*-1)**2.\nAnswer: 190080*sqrt(19) + 190689156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 58.3. Let j = z - -21. Let g = -2.3 + j. Is -2\/3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2 - 2. Let s = -2 - -3. Suppose 0 = -4*m - s - 7. Let i(h) = -3*h**2 - 1. Let f(a) = m*l(a) + 5*i(a). Determine f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8940*t + 0 + 4 + 4513*t - 3285*t. Let v(g) = -23*g - 256. Let l be v(-11). Let b be w(l). What is b rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/47591 in -1.1, 0.5, 70?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 7\/(-3) - -3. Factor 2*r + n*r**2 + 4\/3.\nAnswer: 2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.075 + -0.837. Round c to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(81)*-1)\/(2*-2*(sqrt(27) + sqrt(3)))*-2.\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.2 + -14. What is the third biggest value in -1, n, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4015504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:34 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15882.6077 rounded to the nearest ten?\nAnswer: -15880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 3\/4, 1\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -109. Let a = -121 + r. Let b = 80.0071 + a. What is b rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -58189*l + 116337. What is h(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose 2*s + 2*s - 2*i - 32 = 0, 2*s = -n*i + 6. Factor -7*u**3 - 2*u**4 + 5*u - 4 + 6*u**2 - s*u + 9*u**3.\nAnswer: -2*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1755 - 19 - (-3 + 8). Which is the third biggest value? (a) s (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 4, g: 1, e: 1, m: 8, k: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d**2 - 4*d)*(1 - d**3 - 1) + (0 + 4*d + 0)*(5094*d**3 - 4271*d**3 + 0*d + 0*d + 2*d**4).\nAnswer: 9*d**5 + 3292*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 653150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(432)*2.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930861 is divided by 20236.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44268540?\nAnswer: 2, 3, 5, 737809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 2*s + s - s. Let a be b(-2). Suppose d = -2*x - 3, a = 5*d - x - 4*x - 30. Calculate the remainder when 9 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25674 and 35343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -69*q. Let n(k) = 8*k**2 + 4*k - 12. Let s(o) = 63*o**2 + 33*o - 99. Let f(w) = -33*n(w) + 4*s(w). Calculate y(f(g)).\nAnswer: 828*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 259711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*n. Suppose -d - n*d = -4. Let i be d\/((6\/(-10))\/(-3)). Calculate the highest common divisor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9204 and -19\/14.\nAnswer: 64428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -145.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 400? (a) -12 (b) 0.3 (c) 5 (d) 31 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 92. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g - 10. Let u(f) = 11*f - 21. Let q(o) = 6*u(o) - 13*x(o). Let a be q(4). Calculate the highest common factor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/19, -3, -0.057, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 122, 190, 258, 326?\n\"Answer: 68*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/(-2))\/(8\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114019 + 114025 - 342052 + t**2 + 114008.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17222032 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34817 and 5463885.\nAnswer: 5429068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2\/11, 0, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8801279, 17602536, 26403795, 35205056?\n\"Answer: t**2 + 8801254*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 11.99, -5, 16, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.3795 millennia to months.\nAnswer: 184554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.059048 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3871*v**2 - 3*v + 1489 wrt v?\nAnswer: -7742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 86. What is the remainder when 146 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:54 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 128847, 128840, 128829, 128814, 128795?\n\"Answer: -2*w**2 - w + 128850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = 12*d + 54. Let v = d + 49. Which is the closest to -1? (a) 4 (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 110. Let y(q) = q**2 + q - 7. Determine y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10162825493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.03018 microseconds in seconds?\nAnswer: 0.00009203018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let z = 29 - 0. Let a(x) = -z - 12*x**2 + 29. Calculate a(n(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 6. Let q be y(-2). Suppose q = -5*f + 643 + 72. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -34 in decreasing order.\nAnswer: 2, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((10\/(-9))\/(31\/(-93)))*-1\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*y + 167*y + 3820 = 348*y. What is the remainder when y is divided by 227?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a. Suppose -i - i + 72 = a. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 6*h - 22*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 28\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2. Let w(d) = d**2 + 3*d + 4. Let l be w(-5). Suppose 0 = 2*n + 5*s + l, -3*s = -4 + 16. Let c(i) = i + i - n*i. Give q(c(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6864*-26*2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 16 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -59 - 3 - (-12 - (5 + 5))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15251*c**3*j**2*o**3 - 3769*c**3*j*o**2 - 3*c**3*o**2 + 350*c*j**3*o**3 - 10*c*j**3 + 2*c*o**2 - 2*j**3 wrt o?\nAnswer: -91506*c**3*j**2 + 2100*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*f - 29*f - 8*f**2 - 13*f**3 + 1 + 12*f**3 in the form b*f**3 + s + x*f + c*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/148 and -25\/666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/1050 - r**6\/225 - 4*r**3\/3 - 3*r**2. Let q(k) be the first derivative of m(k). What is y in q(y) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3578938*c + 30107. Let s(d) = 4044*d - 34. Determine -2*l(a) - 1771*s(a).\nAnswer: -4048*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*-3 - (sqrt(17) + (6*(sqrt(17) - sqrt(272) - sqrt(17)))**2 + -3))*-4.\nAnswer: 148*sqrt(17) + 39144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402 + 10*u + 5*u + 15*u - 31*u to the form q + p*u and give q.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*-2)\/(sqrt(81)\/sqrt(225)).\nAnswer: -100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*l + 41*l - n + 1, 4*l - 7 = 3*n. Let k(s) = -10*s. Let v(r) = -r. Determine l*k(c) - 15*v(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150726 - 6?\nAnswer: -150732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 + 2 - 21 - -7) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 10\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 + 9*l - 2. Let t be o(-8). Let b(f) = f**3 + 10*f**2 + 8. Is b(t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/19 (b) 32 (c) -0.15 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 316133 (base 16) in base 11?\nAnswer: 1910402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 - -425 - 4\/(-2). Let u = -271 + x. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - 1448\/20. Let d = v + 123. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c (base 13) in base 9?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1971*r**3 - 10*r**2?\nAnswer: -11826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84477, 84483, 84491, 84501, 84513, 84527?\nAnswer: 84543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/3 + 17898\/19 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0593978 (b) 1\/4 (c) -1\/5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t. Let l(j) be the second derivative of j**4\/6 - 13*j. Determine s(l(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*a + 3*a. Let h(q) = 14*q + 12*q**2 - 51*q - q**3 + 24*q. Does 21 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let v(h) = 348*h**2 - 42*h. Let t(x) = 41*x**2 - 5*x. Let d(w) = 42*t(w) - 5*v(w). Calculate f(d(b)).\nAnswer: 648*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvnouujjlvvonuul. Give prob of sequence jv.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*o - 16 = o, 4*o + 34 = 2*q. Suppose q = 2*j + 3*j. Find the second derivative of -4*x**4 + x - x**4 + j*x**4 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1568 = -2*h - 5*x, -4*h - 4*x = -3128. List the prime factors of h.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmararrmrrarg. Give prob of picking 1 g and 1 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from meoyoom?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-28) + 5\/(-10). Let b = 0.9 - -0.1. Let l be ((3 - 4)*6)\/(-2). What is the nearest to 1 in s, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3142 + 3269. Let u = -452 - -768. Let y = u - k. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 67, 144, 253, 394, 567?\n\"Answer: 16*y**2 - 3*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b - 18. Let y(l) = -l + 2. Give y(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20994 - b**2 + 20994.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**7\/420 - w**6\/360 + w**5\/60 - w**4\/24 - 2*w**3\/3 - 2. Let j(s) be the third derivative of v(s). Does 13 divide j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.4. Let o = 53 + -52. What is the nearest to o in -1, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23850471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)*c**(5\/12))\/(c*((c*c*c**(-2\/29)*c)\/c)\/c*c**0) assuming c is positive.\nAnswer: c**(-7487\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:03 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(52)\/sqrt(4))*6.\nAnswer: 18 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*b - 23 - 53 = 0, 106 = 4*x + 2*b for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + h + 95 - 9*h. Let w be p(18). Solve 2*z = -5*q + 11, w*z = -0*q - 3*q + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4297 greater than or equal to -3705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 4, c: 5, x: 3, j: 4, e: 1}. What is prob of picking 3 j and 1 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-5)\/(-10))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-1150)*-10*6\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i*(i\/(i*i**(-1\/3)*i))\/i))\/(i**(-2\/5))**(-49)*(i**1)**35\/(i*i\/(i\/(i**(-1\/11)*i))*i**(-7)) assuming i is positive.\nAnswer: i**(3986\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -a - 4*m, -5 = -a - 4*m. Solve -a = 2*q + q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 13. What is the remainder when 37 is divided by s(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -1\/2*b**4 - b**3 + 3 + 0*b + 0*b**2. Find the third derivative of m(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5*g**3 + 5*g**2 + 5*g + 15. Factor h(z).\nAnswer: -5*(z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5285177 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -60. Which is smaller: f or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 40*z + 424. Calculate the smallest common multiple of 198 and r(-7).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -8*g**7\/7 + 83*g**3\/2 + 40*g**2 + 2*g. Find the first derivative of k(u) wrt u.\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2338)\/(-1169)*12*1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4524859)\/(-230) + (27\/(-30))\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 5 + 16 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/16, -1, 17, -1060?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000988582965 rounded to 6 decimal places?\nAnswer: -0.000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 97 in descending order.\nAnswer: 97, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose -5*i + 5*y + 315 = 0, 4*i - 264 = -z*i - 2*y. Let g = 1 - -12. Calculate the greatest common factor of g and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -3*i**2\/2 + 23*i + 22. Let f be a(5). Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/11 - 1229742*g\/11 + 4919000\/11 = 0. What is g?\nAnswer: -614875, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 51*b**2 - 58*b**2 - 11*b + 100*b**2.\nAnswer: -7*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -286*y**3 + 3*y**2 - 6*y - 3. Let v(t) = -4578*t**3 + 49*t**2 - 98*t - 49. Calculate 98*i(h) - 6*v(h).\nAnswer: -560*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5645, 22354, 49749, 87458, 135109?\n\"Answer: -62*s**3 + 5715*s**2 - 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 0 - 7\/12*z**4 - 6*z + 0*z**3 + 1\/5*z**5 + 0*z**2. Find the third derivative of s(w) wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27858525.99095 + 27859225. Let g = 699 - m. What is g rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w + 1. Let y be r(3). Let b = 653 + -651. Let v = b + y. Solve 0 = 5*o - v*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = t, 4*t = 5*v + 3*t - 3. Factor y**3 + 11*y + 8*y**3 + v + 2*y + 2 + 20*y**2.\nAnswer: (y + 1)**2*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + ((sqrt(192) + 0 - sqrt(192)) + -4)**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15385219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c*((c\/(c\/(c**(1\/13)\/c*c)*c))\/c)\/c*c)\/c))\/(c\/(c*c\/(c*c**(7\/5))*c)*c))**(-8))**27)**(-26\/9) assuming c is positive.\nAnswer: c**(4752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105944, -423616, -953070, -1694306, -2647324, -3812124?\n\"Answer: -105891*a**2 + a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301387 or 301388?\nAnswer: 301388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (539*h + 933*h - 491*h)*(2*h**3 + 22 + 2*h**3 - 23) to the form s*h + g*h**2 + v + p*h**3 + j*h**4 and give j.\nAnswer: 3924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*x - 175*x + 259500 = -83*x. Calculate the smallest common multiple of 15 and x.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11. Let k = -182 + 182. Suppose -w - f = w - 1, 4*w - 4*f - 32 = k. Sort q, -2\/11, -1, w in decreasing order.\nAnswer: w, -2\/11, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 27*w**3 - 2*w**2 + 1. Let q be c(-1). Let g = q - -135. Suppose 0 = -3*k + l + 3*l + g, -3*k - 4*l = -139. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 + c**2 + (3*c - 5*c + c)*(4*c - 3*c - 2*c) + c**2 - 5*c**2 + 9*c**2 + c**2 + 17*c**2 - 2*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-169))\/(176\/208)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*q**2 + 12*m*q + 333125*m + 20*q**2 + 26*q wrt q.\nAnswer: -2*m*q + 12*m + 40*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0*w**3 + 0*w**2 + 91\/12*w**4 - 3\/20*w**5 + 2*w + 4. Find the third derivative of g(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284850235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 495765\/47 less than 10548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 587 - 585.88. Let k = -0.88 - t. Which is the closest to k? (a) 2\/17 (b) 3 (c) 2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.955269 to two dps.\nAnswer: 42.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -38.8. Which is the fourth biggest value? (a) 3 (b) -0.4 (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-3) + 4 + ((-2826)\/(-4867))\/(7\/168).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -33, -81, -159, -273, -429?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434749 is divided by 1295?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 709524618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9 = -14*d + 10*d, 0 = 2*d + 2*p - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.626454 + 0.1?\nAnswer: -194.526454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000 (base 3) to base 8.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2092, 4, 1, -12178 in increasing order.\nAnswer: -12178, -2092, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 0*s)*(-11 + 19 + 2).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(11)*-1*-6 - (sqrt(539)*-2 + 2))**2.\nAnswer: -200*sqrt(11) + 27504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20037859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 120*l. Let x(n) = 13547*n. Give x(d(r)).\nAnswer: -13547*r**2 - 1625640*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a*a)**(-10)*(a*a*a\/(a\/a**(-1\/3)*a))\/a**(6\/7) assuming a is positive.\nAnswer: a**(-466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/7 + 103688394*h**2\/7 - 895940254191603*h\/7 = 0. Calculate h.\nAnswer: 0, 17281399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(39) - (sqrt(39) + sqrt(39)*-1)*-1 - sqrt(39) - sqrt(39))\/(-3*sqrt(3)*-4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-42)*3*-6.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from kheqo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = s, 3*s + 3*x - 4*x - 58 = 0. What is the lowest common multiple of 58 and s\/4*(-11 - -15)?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 75*q**4 - 3*q**3 + 31*q**2 + 1. Let f(y) = 151*y**4 - 5*y**3 + 63*y**2 + 2. Let h(t) = -3*f(t) + 5*v(t). What is the third derivative of h(k) wrt k?\nAnswer: -1872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.634 + -0.334. Let a = d + -19.6. Let o = 0.4 + 0.1. Sort o, -4\/3, a in decreasing order.\nAnswer: o, a, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9271*o + 658241. What is v(71)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2768 + -2658. Solve -26*r = m + 46 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let b(i) be the second derivative of -19*i**4\/4 - 6*i + 5. What is b(d(c))?\nAnswer: -513*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -v - 2, -r + 5*v = 4*r. Let s = -0.76 + 0.767. Sort 3\/5, s, r in increasing order.\nAnswer: r, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-3)\/6)*86. Let l = f - 127\/3. Factor -l*s**3 + 0*s**2 + 1\/3*s + 0 + 1\/3*s**5 + 0*s**4.\nAnswer: s*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, o: 1, i: 2, g: 2}. Give prob of sequence gi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from otopo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-182)\/49*98\/56.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + ((sqrt(637) - (sqrt(637)*2 + sqrt(637) + sqrt(637))) + 2)*4))**2.\nAnswer: -37800*sqrt(13) + 2295225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, j: 3}. Give prob of sequence jt.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18085209 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: How many meters are there in 51\/2 of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -817\/21 + 39. Let n = 77\/129 + 3\/43. Which is the closest to n? (a) f (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 20, -0.068, -1\/19?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/14 + 37\/42. Solve 2\/3 - b*h**2 + 0*h = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -190069*-192\nAnswer: 36493248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -3346255?\nAnswer: -3346263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009511609 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -64\/46823, -5, 2\/31?\nAnswer: -64\/46823","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -195. Which is smaller: o or -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -0.50163112.\nAnswer: -0.20163112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + sqrt(4)\/sqrt(2) - (sqrt(6)\/sqrt(3) + -3)**2 - (sqrt(18) - sqrt(36)\/sqrt(2)*4)**2) + 1).\nAnswer: -352 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1971468 and 10442.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*y - 3 + 2)*(16 - 2 + 5)*(8*y - 76 + 78 + 0*y).\nAnswer: 912*y**2 + 76*y - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81877196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4056 - 2301. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrshhsrxrthtshthhs. What is prob of sequence rxsh?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14550 divided by 194\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w - 17. Let d(g) = -g**2 - 6*g - 16. Calculate -4*d(y) + 3*q(y).\nAnswer: 4*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2343 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b - 21?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -164433\/2 smaller than -82218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 6*l - 4. Let x be p(2). Let t be x\/(-3) + (-20)\/15. Solve t*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*l = -0*l + 15, 4*u - 2*l - 14 = 0. Solve -u = 2*f + 4*a, 3*a - 6*a + 4 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 12?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and (113\/60 + -2)\/((-20)\/136)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*(-1 + (-12)\/(-15)). Suppose 0 = -2*y - 4, 5*y = -5*z - 0*y + 15. Which is the nearest to 11? (a) z (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(2\/6). Let u(b) = -4 + 1 + 4 - q*b. Give u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1738.6283 rounded to the nearest integer?\nAnswer: -1739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 30 - 31 = 38*g. Let s(q) = 13*q + 3. What is s(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-426)\/71.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*w - 20, 35*w - 38*w = -4*v - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(5\/11)\/w)*w)**(-2\/19)\/(w**(-9)*w**(-37)) assuming w is positive.\nAnswer: w**(9558\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + f, 5*n - 5*f + 16 = 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 108*g - 173 - 736 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -554 + 568. What is the remainder when 35 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**3 + 5*l**2 - 5*l - 5. Suppose 0*u + 25 = 5*u. Let y(k) = k**4 - k**3 - k**2 + k + 1. Let o(m) = u*y(m) + f(m). Factor o(x).\nAnswer: 5*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040\/240 - 60393\/1312?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 != -2009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 - 5*y - 15. Suppose 0 = -5*k - 3*k + 64. Let z be h(k). What is the highest common divisor of 117 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (158*k - 158*k - 23*k**3)*(90 - 9 + 226)*(-1 + 0 + 0) as o*k**2 + r*k + s + d*k**3 and give d.\nAnswer: 7061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -7*m**3\/3 + m + 189. Let j(q) = -3*q**2 + 2. Calculate j(v(x)).\nAnswer: -588*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let a(y) = -y**2 - 56*y + 590. Let p(c) = 3*c**3 + 62*c**2 - 22*c - 12. Let t be p(-21). Let i be a(t). Sort i, -4, s in descending order.\nAnswer: i, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-36)*3\/(-15). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 56*f**2 - 10*f - 10. Let c(x) = -11*x**2 + 2*x + 2. Calculate 16*c(m) + 3*w(m).\nAnswer: -8*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 641*w + 483. Let x(r) = 1122*r + 965. Give 7*u(z) - 4*x(z).\nAnswer: -z - 479","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4\/9 - 26*x**3\/9 + 10*x**2\/3 + 104*x\/9 - 56\/9 = 0. What is x?\nAnswer: -7, -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(3 + 2 - 2). Let w = -0.13 + 5.13. What is the second smallest value in w, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -22257*j + 92. Let g(x) = -11129*x + 37. Determine -5*g(v) + 2*k(v).\nAnswer: 11131*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 32*h**2 - h + 9. Calculate v(32).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 3*q - 2. What is i(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102101 - -121120?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 7. Let i be q(-7). Suppose -8*p + 4*p + 160 = i. What is the hundreds digit of (p\/16)\/((-1)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 57.8. Let d = k + 5.25. Round d to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2120420 + 4234?\nAnswer: 2124654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1107 - -3595. Suppose 2*d - 6*d = -p. What are the prime factors of d?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2103\/(-819)*(-4905)\/4548. Let q = -6084\/7 - -9223343\/10612. Let c = q + z. Calculate the common denominator of c and 38\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4082 = y - 4100, 5*y = 8*y + 3*u - 18 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 951*b**6 + 624*b**4 - 2*b**3 - 190641*b**2 + 4?\nAnswer: 114120*b**3 + 14976*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8900400735 to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -4 (c) 1\/6 (d) -3 (e) -21 (f) -49 (g) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2585, 2543, 2515, 2507, 2525, 2575, 2663, 2795?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (0 - -5) - (-13 + (20 + -4 - 16))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39 + -37 - (13\/(-1) + 0). Suppose -q = d - k, 5*q = 2*d - 24 - 34. Which is smaller: d or 22?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135)\/(-504) - (-5)\/(-35). What is the nearest to -1\/3 in w, 0.4, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*m**4 + 156 - 5*m**3 - 40*m**4 + 14 - 64 + 18*m**4 to the form j*m**3 + t*m + i*m**2 + a*m**4 + p and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2503 - 617. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*s - 34139 + 32137 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 5*i + 3*i - 5*i - 16 + i. Let k(m) = 4*m - 24. Calculate 7*f(r) - 5*k(r).\nAnswer: r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 28 + 37)*(1 - 2*j + 5*j - 2*j + 5*j**2) + j - j - 2*j**2)*(-j + 4*j - 2*j).\nAnswer: 353*j**3 + 71*j**2 + 71*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 222*j**2 - 10*j - 3. Let x be y(7). Let p = x - 237791\/22. Find the common denominator of p and 3\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -892 + 1280. Let a = -97 + x. What are the prime factors of a?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 11*h - 10. Suppose 1 = -s - h. Let z(p) = p - p**2 + 2*p**2 + 5*p + 4. Determine z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196110, 195975, 195844, 195717, 195594, 195475?\n\"Answer: 2*u**2 - 141*u + 196249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 121510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -61*d - 2. Let n(p) = -121*p - 3. Calculate 5*g(t) - 3*n(t).\nAnswer: 58*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47239 + 47239 + 618*c**2 + (-7*c + 3*c + 3*c)*(4*c + c - 3*c) + 0*c**2 - c**2 - c**2.\nAnswer: 614*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3930*a + 8 - 7 - 1.\nAnswer: 3930*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 14 - 124 = 76 + 10 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*1*((-448)\/768)\/(-21*4\/(-160)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 479372 and 3834976.\nAnswer: 3834976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*5)\/(3\/225). Let r = k - 128. Let y = -156 + r. Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150806 is divided by 21427.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125586165 - -74545727. Let i = r + 51040426.9999996. Let a = i + 11. What is a rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1636 + -1631. What is the nearest to 0.08 in -3, f, -2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*h - 2*i - 85, -3*h = -2*i - 51. Let a = 21 - h. Solve -2*d + a = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.1. Let a = -212 - -853\/4. What is the nearest to 1 in 1\/3, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/(-612)*2\/(-3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/(0 + 2\/(-1074)). Let h = x + 6. Let l = h + -105. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1345396 to the nearest 1000.\nAnswer: -1345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-190.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 9*h - 6. Calculate q(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let s(d) = -2653 + 5316 + 47*d**2 - 2659. What is s(r(v))?\nAnswer: 47*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742441.\nAnswer: 3, 13, 19, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*p + 5 = 0, -p + 40 = 39. Which is smaller: 5\/647 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/5))\/((j*j**(-6))\/j*j))\/(j**(1\/2)*j**(-5))*(j**2\/(j**(2\/21)*j))\/(j*j\/(j**(-2\/5)\/j))**(-5\/7) assuming j is positive.\nAnswer: j**(409\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/1019 or -1?\nAnswer: 24\/1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 528284\/475407 - 6\/52823. Factor 2\/9*z**2 - o*z + 4\/3.\nAnswer: 2*(z - 3)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -647f43af - 1?\nAnswer: -647f43b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i - 4*s, -4 = -374*s + 372*s. Solve -x = -i*x + 10, x = -2*f + 17 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*4\/24)\/(1*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0, 13 in increasing order.\nAnswer: 0, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 3*d - 2. Let k be a(2). Let o = 1.7 + 5.3. Let s = o - 7.2. Sort -1, k, s in decreasing order.\nAnswer: s, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 2 = -r, 0 = -3*r - 3. Is m equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106041 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32422562, 32422566, 32422570, 32422574, 32422578, 32422582?\nAnswer: 32422586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -119.03. Let m = u - 4. Let j = m - 0.0274. What is j rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**2 - 12*p - 12. Let y(x) = -9*x**2 - 16*x - 16. Let h(c) = 4*o(c) - 3*y(c). Let w(j) = -398*j. Determine h(w(s)).\nAnswer: -1425636*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2725776 - -1792486. Round j to the nearest 10000.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352699 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 21*y**2 - 1.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + (-27)\/(-135). What is the nearest to y in -1.5, -3.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1244000 to the nearest 10000.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 329 - 329 - 78*y - 375*y in the form r*y + f and give r.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let z be (g - 6)*(-2 + 1). Suppose -z*a + 32 = -a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 + -16?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(168)*-2)\/(sqrt(7) + sqrt(448)))\/(5*(2*sqrt(32) - sqrt(96)\/(sqrt(12)*-1))).\nAnswer: -4*sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1 + sqrt(1872) + -5 + sqrt(1872)*-3*-1)**2 - (1 + 1 + (sqrt(117)\/sqrt(144) + 3*sqrt(13)*1)**2).\nAnswer: -360*sqrt(13) + 267739\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10401.\nAnswer: 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdd when three letters picked without replacement from {d: 2, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2251418 (base 12) to base 13\nAnswer: -1493012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6560793 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - (sqrt(7)*2)**2*-2 - (sqrt(448) - (sqrt(448) - (sqrt(448) + 0)))**2).\nAnswer: -5*sqrt(7) + 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8066599 - 8066452.88558. Let s = -146.1 + h. Round s to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 491*z**2 + 5157*z + 12022. Give x(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.4 + 38.4. Which is smaller: f or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-2*1\/2. Let u(s) = s**3 + 23*s**2 + 44*s + 50. Let c be u(-21). Let t = x + c. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -867 + 1252. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*m = -2, -5*d - 7 + 2 = -4*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 7*k**2 + 3*k + 8. Suppose 3*c - 13 = 5. Calculate r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52547)\/6182)\/((-2)\/(-12)*-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 + 368\/3. What is the second smallest value in -1, -0.4, 2\/11, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9197 = 2359. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 6. Let y(c) = 3*c**2 + 3*c + 4. Let m be y(s). Is 3 + (-7)\/((-7)\/m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*t - 576 = 0, 0 = -3*x - 4*t - 277 + 1145. Suppose 0 = -3*m + x + 7. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5 - 4 + 0*n - n. Let x(y) = 95*y**2 - 6*y - 36. Let d(p) = 6*i(p) - x(p). What is the first derivative of d(c) wrt c?\nAnswer: -190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 20 = f. Let k(i) = -15*i**3 - 8 + 6*i**2 - 8*i + 15*i**3 + i**3. List the prime factors of k(f).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*5*(7 + -3 - 2). Suppose -4*h - x = -3*x - 22, 0 = -5*h + 5*x + l. Sort 2, h, 0 in decreasing order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1607 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3498 - 5?\nAnswer: -34a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5501 - -13727. Let n be -3*4\/24*k\/(-3). Suppose 3*d = -5*v - 2*d + 6780, 0 = -v + 2*d + n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1637*j**4 - 28170*j*t**3 - t**3 - 3*t**2 + 157*t + 2843 wrt j?\nAnswer: 6548*j**3 - 28170*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4030024 + -3?\nAnswer: -4030031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252136 is divided by 252?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from ketximx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 133560 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 + 8*g - 6. Let y be c(-8). Let b(f) = -3*f - 11. Let o be b(y). Let n(w) = -10 - 5*w - w + 2*w**3 + 8*w**2 - 3*w**3. What is n(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -97*q**2 + 2901*q + 28. Determine f(30).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -6\/31, -113, -24, 3, -2?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 2. Which is the nearest to -3\/7? (a) 3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u + 3 + 17*u - 8)*(-5*u**2 + 0*u**2 + 3*u**2).\nAnswer: -4*u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*u = 2*u - 20, -5*x = -4*u - 20. Suppose -x*v - 71 = 105. Let b = v + 146. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5772, -4816, -3860, -2904, -1948?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 33 = -4*d, 19 = -3*d + 760*t - 764*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290069519?\nAnswer: 290069519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.452309 - -0.2.\nAnswer: 4.652309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(5 - 0))\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955915700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -86. Let r(i) = -i + 12*i**3 + 0*i - 2*i**2 + i**2 - q*i**3. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*i*p**5 + 8*i*p**3 + 12*i - 3*p**2 wrt p?\nAnswer: -780*i*p**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-605))\/(33\/484).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose u*w - 4 = w. Differentiate -10*b + 2 + w*b**3 + 10*b wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 4*l. Let i be (-6)\/(-30)*(-1)\/l. Which is the second biggest value? (a) i (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 676362661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3867900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 532929883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = -2*i, -w - 5 + 27 = -5*i. Let b be -1*1 + 9 + w. Suppose -b*n + 28 = -2. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -21. Which is the smallest value? (a) -12 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:08 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/(-5))\/(-1))\/((72\/45)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11078 + -11072. Suppose 0 = -2*q - 4*n + 42, -63 = 2*q - 4*q + 3*n. What is the smallest common multiple of a and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -f - 54 + 64, -5*j + 4*f + 23 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -45907*k + 137723. Let q be c(3). Factor -3\/2*t**q + 15 + 9\/2*t.\nAnswer: -3*(t - 5)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z - 3. Suppose k + 5 - 3 = 5*b, 3*b = -k - 2. What are the prime factors of y(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1942899 and 564189.\nAnswer: -1378710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 471, 1968, 4497, 8058?\n\"Answer: 516*p**2 - 51*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l + 2. Let c be b(-1). Let v = -13 + c. Suppose w - 1 = v. Put 4, w, 2 in ascending order.\nAnswer: 2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62711.\nAnswer: 11, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/112 and 95\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 9. Let y be i(-8). Let r = y + 6. What is the remainder when (-16)\/12 - 148\/(-3) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j**5\/5 - 11*j**4\/2 + 70*j**3\/3 - 25*j**2 + 94. Factor p(l).\nAnswer: 2*l*(l - 5)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106815 (base 9) in base 14?\nAnswer: -194d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1000395720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 796*f**3 - 198*f**2 + 1 wrt f?\nAnswer: 4776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h. Let x(v) = -5*v + 0 - 8 + 4*v + 9. Let r(p) = -18*p**2 - 54*p + 54. Let s(c) = r(c) - 54*x(c). Determine j(s(i)).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -0.1, -16, 0.2 in decreasing order.\nAnswer: 12, 0.2, -0.1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 0*a + a + (4 - 6 + 3)*(3*a + 2*a - 4*a) - 2*a + 0*a + 7*a + 2*a + 0*a - 4*a - 229 + 229 - 189*a to m + o*a and give o.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 83.69 + 5.84846\nAnswer: 89.53846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1\/4*d**4 - 7\/3*d**3 - 5\/2*d**2 - 41 - 5*d. Let a be g(-6). Let t(j) = j**2 + 10*j - 11. Determine t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289554314.\nAnswer: 2, 7, 23, 899237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (4472568\/27)\/8*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 6*k + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/5 - 23932*d - 66215856\/5.\nAnswer: -4*(d + 564)*(d + 29351)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.5 (b) -121 (c) -311 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/6)\/(-12*(-6)\/2448). Calculate the highest common factor of 272 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 32 = -2*b. Let j = b + -20. Let m = j + 22. What is the remainder when 39 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/4)\/(-5))\/((110\/(-10))\/(-176)*-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10721 + 10720.99959784. Round q to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*n - 1895 = -z + 79*n, 2*z - 3770 = -4*n. Does 125 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92404 from -48973.\nAnswer: -141377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 9 + (-98 - -6870). Calculate the greatest common factor of 60 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l**2*x + 563*l*x - 84*l - 41*x - 6285 wrt l?\nAnswer: 8*l*x + 563*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24192 by -42.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1856*t**5 - 2*t**3 - 96813*t**2.\nAnswer: 111360*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.971394 - -0.032406. Let n = 5 - u. Round n to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y, -6*z + y - 70 = -8*z. Put z, 7, 3 in ascending order.\nAnswer: 3, 7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + 2 - (1 - -1). Let t(j) = -u*j + j + 7*j - 8. Calculate t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.238 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83897 and 2552?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 211, 4 in increasing order.\nAnswer: 0, 4, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4*(-3)\/(-4)*8\/(-126)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 14906219.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 6, -2 = 2*o + 2*j. Let m be 39\/4 + 1 + (-1)\/o. What is the first derivative of -98*a + 98*a + 14 + m*a**4 wrt a?\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(4 + 779\/123)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) -6\/329 (c) -0.175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -5*l + 90, 5*d - 2*l + 90 = 0. Let w be (d + -3)*8\/(-24). Solve 4*a = -13 - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {n: 5, e: 2, d: 2, w: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*h + 73*h - 260542 = -1762*h - 612*h for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + (1 + 7)\/2. Let o be 0 + 0 + 4\/2. Suppose o*d - 4*d + 80 = 0. What is the greatest common factor of p and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p + 1\/4*p**4 - p**3 + 3\/2*p**2 + 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 22. Let h be g(7). Suppose -2*d + h = -d. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2 - 2 - 6\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7601, -15124, -22629, -30104, -37537?\n\"Answer: 2*b**3 - 3*b**2 - 7528*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -3 (c) 57 (d) 2 (e) -67.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -11320444?\nAnswer: -11320451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28086 - 14525. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6927 - -613. What is h rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033102 (base 4) in base 2?\nAnswer: 10001111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 29*f + 66. Let l be p(-27). Let i be ((-2)\/(-45)*3)\/(l\/(-1725)). Is i at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.03, 70\/9 in decreasing order.\nAnswer: 70\/9, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1892 divided by 2.\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 10 + 11 - 2*o - 2*o**2 + (-1 + o + 1)*(5*o - 5*o + o) to q + l*o**2 + g*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -60 - 20*z**2 + 5*z**4 - 158*z - 45*z**2 + 179*z + 5*z**3 - 146*z = 0?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26741602 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4638*d - 166906 - 91018 = -3698*d + 6646*d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from {v: 5, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 5*t - 1. Let a be u(5). Suppose 2*d - 4*d = -r + 1, 3*d + 5 = 2*r. What is the greatest common factor of r and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -8, 3, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 1\/2*p**2 + 0 - 7\/6*p**3 + 5*p. Is k(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t. Let w(x) = 3*x**2 + 2*x - 36. Let u be w(6). Suppose 20*k = 17*k + u. Solve 3*p - 7 = 5*p + 3*i, t = 5*p - 3*i + k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b5a (base 13) in base 8?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695\/(-693) - ((-2)\/(-18) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77531.\nAnswer: 31, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -31 - (-11 - (-1 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 9*j + 6. Let r be b(-2). Solve 0*n - 7 = -4*n - i, r = n - 2*i + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-25)\/11 - 8\/4 and 59\/(-14) + (-4)\/14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -14. Suppose -2*a - 2*y + y + u = 0, -y - 25 = -3*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286767.\nAnswer: 3, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5 + 110*v**4 + 3493*v**3 + 24104*v**2 - 37100*v - 490000 = 0.\nAnswer: -50, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**3 - c**4 + 0*c**4 - 2*c + 16*c**3 to s*c + p + m*c**4 + n*c**2 + d*c**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 31*d - 58. Let t be f(30). Are t and -27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21*q - 356. Give b(-23).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - -1?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 + 41*l**3 + 42*l**3.\nAnswer: 50*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1532, 1989, 2456, 2939, 3444, 3977, 4544, 5151?\nAnswer: 5804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 5*s**2)*(-29*s - 4 + 3 - 45*s) - s**3 + 8*s**2 - 8*s**2.\nAnswer: -75*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/4))**(-28)\/((p*p**(-6))\/p**(-3\/5))*(p*(p*p**(-2\/5))\/p)**(-1\/30)*p\/p**5*p**(-2\/5)\/p*p assuming p is positive.\nAnswer: p**(-1051\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 831 + -46?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -88. Let h = -11 + l. Let y = h - -88. What is the second biggest value in y, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, 4 in increasing order.\nAnswer: 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o + 3*o + 27 - 2*o. Let k be a(0). Suppose -5*v + 23 = c, -2*c = -5*v + k + 2. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9847*j - 21246*j + 10411*j + 114608 = 0 for j.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -6042.\nAnswer: 11\/2014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*u + 53*u + 46*u + 38*u + 10*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13126)\/(-18) - 5\/90*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 17. Let x be k(13). Suppose 259 = -x*d + 76*d. What is the remainder when 184 is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6621503 litres in millilitres?\nAnswer: 662.1503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**3 - t**2 - t - 1. Let x be h(-1). Suppose -64*v = 975 - 463. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 11*u - 8. Let n be q(10). Let i be (3 - n)\/(2\/10). Let h(y) = -2 + 2 - i*y - 3*y. Let k(d) = d**2. What is h(k(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -17. Suppose -4*x + 0*x = q - 18, 5*q - 46 = o*x. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*(0 + 28). Let i = j + -33. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**6\/15 + 37*x**4\/4 - 89*x**3\/3 - 51*x. Find the second derivative of u(l) wrt l.\nAnswer: 24*l**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 4, b: 2}. Give prob of picking 2 b, 1 v, and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {h: 2, v: 6, s: 2, w: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 3, k: 2, n: 6, u: 5}. Give prob of sequence lmu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.2 (b) -1\/6 (c) -2702\/95 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.5652 litres to millilitres.\nAnswer: 608565.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 50 = 9*d, -4 - 28 = -5*d - 2*a. What is the lowest common multiple of 822 and d?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 3, i: 7, a: 4, c: 1, f: 4}. Give prob of sequence ac.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1080143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 5, i: 2, p: 4}. Give prob of picking 2 m and 1 i.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.706 micrograms in milligrams?\nAnswer: 3.640706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 64*u + 3032. Is 58 a factor of s(-162)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.31501 minutes in nanoseconds?\nAnswer: 2598900600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/(y\/y**(-5)))\/((y*y**(-3\/7)\/y)\/y)**(1\/16) assuming y is positive.\nAnswer: y**(-219\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9852234 decades?\nAnswer: 118.226808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(8)*-3))\/(-5*sqrt(24)\/sqrt(8)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.35 + -5.894. Let n = -1.7 - -0.1. Let j = b - n. What is j rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.046 - -516.954. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -4. Let c = q + 15. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 2*c + 0*c)*(-c**2 - c**2 + 3*c**2) + (4*c - c - c)*(c**2 - c**2 + 2*c**2) + 0*c**3 - 3*c**3 + c**3 to g*c**3 + v + l*c + i*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -17839941 = -17839957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 6 = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053333 (base 7) to base 9.\nAnswer: 218443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - -5.37. Let w = u + 0.5. Let m = w - 11. Which is the nearest to 0? (a) m (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 + 412*s + 281. What is the least common multiple of 1219 and y(-68)?\nAnswer: 10971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 7)\/(-1 + (7 - 8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**3 + 57*r**3 - 84*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.165826199 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1636202208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11900 = 642*m + 16665 - 8754 + 12289 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 2)*(-85*z**2 - 14*z**2 - 55*z**2) to v*z**2 + x + n*z and give v.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2060410 divided by -2060410\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0*i**2 - 1\/2*i**5 + 0*i**4 + 5\/2*i**3 - 2*i + 0 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (208\/6)\/(43\/645).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 + 436052*w**2\/3 + 59358560*w\/3 + 672939968.\nAnswer: -4*(w - 109149)*(w + 68)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 37*l = 5*w - 19, -l - 2*w = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1496, 1328, 1122, 878?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h - 67. Let r(z) = 27*z + 125. Let j(f) = 4*r(f) + 7*v(f). Determine j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43612140 and 3795.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 4. Let k(h) = -3*h - 5. Suppose -3 - 2 = -v. Suppose 7 = -3*d + 3*f - 8, -2*f = v*d + 4. Let l be d + -2 + -1 + 0. Calculate l*w(x) + 4*k(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z - 2*k - 84 = 0, -k + 3 = 0. Let u = -23 - z. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 + 22 = 196*s + 120. Which is bigger: 140\/149 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvaa when four letters picked without replacement from gaggvgagv.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 260 = -5*a, -3*q + 180 = 4*a. Let b(j) = -47*j - 3 + 3 + a*j. Let i(s) = 2*s**2. Calculate b(i(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -138507*w. Let h(c) = -17*c**2. What is h(u(b))?\nAnswer: -326131213833*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, -0.1, -4\/259.\nAnswer: -0.4, -0.1, -4\/259, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - y**4 + 4*y**3\/3 - 19*y**2\/2 + 8*y. Is d(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -56, -157, -330, -599, -988?\n\"Answer: -4*b**3 - 25*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + 5\/2. Suppose -2*a + 1020 = r*a. Does 17 divide (-5)\/(-2)*a\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -3.7. Which is the smallest value? (a) 0.3 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/(-312)*(-40)\/(-14)*1326\/(-85)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 362*z**2 - 8 - 4*z**3 - 10*z**4 - 4 - 362*z**2 to m*z + q*z**4 + l*z**3 + p*z**2 + a and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2)*12\/(-18). Suppose z*m + 10 = 2*w - w, w - 12 = 5*m. Suppose 2*k - 22 = -4*o, -2*k + 14 = o + w*o. Solve -s - s = o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = k + 2, 0 = -2*k - 4*m + 2. Let b be (-2)\/k - 4\/2. Suppose -132 = -b*g - 3*g. What is the common denominator of -53\/8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05137 to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 55, -20.04, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from kxxxxxokxhxxo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 31. Let v(a) = -a**3 - 6*a**2 - 5*a + 5. Let r be v(s). Suppose r*f = 4*f. Solve -1 + 10 = 5*t + 3*g, -3*t + g + 11 = f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 3*t - 16 = 0. Let v(d) = d**t - 160*d - 4 + 161*d + 0. Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 11 + 8 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 5*y**4 - y**2 + y + 1. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 20. Suppose 3*m - c*m + 2*l - 45 = 0, -5*l = 0. Let a be ((-2)\/4)\/(m\/10). What is the closest to 2\/7 in a, 1, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-24)*-58)\/(10\/20). Sort f, 5, 17\/4.\nAnswer: f, 17\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 20. Let f = h + 43\/3. Let z = 91 + -88. Which is the third smallest value? (a) z (b) f (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -0.2, -0.3, 0.0645, 29 in decreasing order.\nAnswer: 29, 21, 0.0645, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 807771 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: In base 14, what is -9d7 - 30?\nAnswer: -a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1565 = -3141. What are the prime factors of m?\nAnswer: 2, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (61060\/(-3718))\/(-5) - 3. Let y = -2\/169 + v. Which is the nearest to 1\/4? (a) y (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281850265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xci when three letters picked without replacement from {c: 1, v: 6, i: 4, x: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2276 rounded to the nearest ten?\nAnswer: -2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245300 is divided by 228.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide -18894 by 2.\nAnswer: -9447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, 12\/11, 22.7, -1?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 2*t + 1. Suppose -8*r + 9*r + 7 = 2*r. What is n(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = -69. Calculate the smallest common multiple of b and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -821, -1855, -3291, -5123, -7345, -9951?\nAnswer: -12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -30) + (1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q*(q\/q**(-3\/4))\/q*q))\/q)**(1\/3)\/(q*q**(1\/4)*q)**(-38) assuming q is positive.\nAnswer: q**(341\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 491224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1514 + 1518. Let t(a) = 5*a**3 - 4*a**2 + 4*a + 3. Let w(k) = -6*k**3 + 4*k**2 - 5*k - 4. What is x*w(d) + 5*t(d)?\nAnswer: d**3 - 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r + 2*r**3 + (0 - r**2 + 0)*(-r + r + r) + 0*r**3 - 4*r**3 + r**3 - r**3 + r**2 - r**2 + (-3 + r**2 + 3)*(-3*r + 4*r - 3*r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*z - 462*z = 2*q - 16, -5*q - 22 = -3*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 17*a + 5. Suppose -2*r = 2*d - 24, 6*d = 4*r + d - 93. Let j be c(r). Solve 32 = -j*z + 3*m, 0 = z + m - 2*m + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 7*j - 161 = 0. Let q = 27 - j. Solve 5*a - s = -3, q*a + 4*s = s - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*p + 350 - 1657 = -13704 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 608545951 to the power of 1\/2, to the nearest integer?\nAnswer: 24669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Suppose -j + l = -10, 4*l + 5 = n*j - 24. Suppose 2*y + 4*u = 174, -5*y - 4*u = -273 - 198. Calculate the greatest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 20949768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1116 * 7.3.\nAnswer: 8146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25\/609 + -1\/58. Let o = -32\/21 + s. Let z(x) = -x**3 - x**2 - 2. Let h be z(0). Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 460, 482, 518, 568, 632?\n\"Answer: 7*b**2 + b + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -43*i + 374 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64b (base 12) in base 10?\nAnswer: -923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:18 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 9:06 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 38 - 103 + 24 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5006\/4)\/(61\/122) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 13*b + 26. Let v be (12\/8)\/((-1)\/(-2)). Let w be y(v). Solve 5*a - w = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 38*v - 80. Let o(f) = f**2 + 13*f + 23. Determine -14*o(r) - 4*u(r).\nAnswer: 2*r**2 - 30*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2049\/2 + -1023. Let z be 15\/(-35) + (-2)\/(-4). Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2. Let q(c) = 0*c**2 - 8*c**2 + 0*c**2 - 12*c**2. Calculate q(d(r)).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 r when three letters picked without replacement from trrv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 28*r + 1. Let x be b(1). Suppose d - 79 = x. What is d rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20583, 41523, 62463, 83403, 104343?\n\"Answer: 20940*g - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9638 and 158?\nAnswer: 9638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**2 - 15*h**2 + 49*h**2 to c*h + x*h**2 + s and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -28 - 18) + (-73 - -102).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**7\/21 + q**6\/15 + q**5\/5 - q**4\/3 - q**3\/3 + q**2 + 12*q. Find v such that h(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.520671 decades in centuries?\nAnswer: 0.5520671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4099*o**3*x**3 - o**3*x**2 + 295*o**2*x + 2*x**2 wrt x.\nAnswer: 24594*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6992, -6988, -6982, -6974, -6964?\n\"Answer: c**2 + c - 6994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/8)\/((-9)\/(-120))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + 0.16. Let m = c + -0.34. Is m equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*y + 20 = -5*g, 4*g + 28 = -4*y. Let j be 7281\/(-45) - 2\/10. Let s = j - -1136\/7. What is the closest to s in -3\/8, g, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3)\/(3\/9). Suppose -12 = -r*u + 3. Find the third derivative of 5*l**4 - 2*l**4 + 10*l**u - 6*l**4 - 22*l**5 - 37*l**2 wrt l.\nAnswer: -720*l**2 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 74*s - 79*s, 18 = -d - s. Let o be (-52)\/12 + (-154)\/d. Factor -5\/6*h**3 - 13\/6*h - 1\/3 - o*h**2.\nAnswer: -(h + 1)*(h + 2)*(5*h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8.6. Let p(k) = -k**3 + 6*k**2 - 5*k + 2. Let i be p(5). Which is the closest to 0? (a) i (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n**2 + (-n + 2*n - 2*n)*(-3*n - 2*n + 3*n) + (-9*n**2 + 26*n**2 + 8*n**2)*(41 - 140 + 74 + 50).\nAnswer: 629*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -2, -4, 3 in descending order.\nAnswer: 3, -2, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 11974721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -38. What is the greatest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -5, -2\/1381, 1\/11?\nAnswer: -2\/1381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y + 6*y. Let r be (0 - 0)*(-3)\/3. Suppose q + r = y. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 822*o**2 + 109272*o - 109272*o - 449*o**2.\nAnswer: -1271*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, 5, 245\/27?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (170\/(-170))\/(-1*3\/(-69))*-1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4581892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)\/(f**(-3)*f))\/((f**(-5)*f)\/f**(-3\/8)) assuming f is positive.\nAnswer: f**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7545061a - 6?\nAnswer: 75450614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 46. Let u be f(14). Solve -2*j = -5*i + u, -j + 4*i + 7 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36376639 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*110\/(-33). Is a greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**7\/210 + b**6\/120 + b**5\/30 - b**2\/2 + 9*b. Let l(c) be the first derivative of w(c). Let l(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + 4*x**3 + (-19*x - 6795*x - 4027*x)*(-2*x**2 - 2*x**2 + 3*x**2).\nAnswer: 10842*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 55, -1, 0, 5 in descending order.\nAnswer: 55, 5, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrs when four letters picked without replacement from {s: 6, r: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 2 = -8*g. Let d = -1223 + 1222.5. What is the nearest to g in d, 0.5, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/525*(-25)\/4*45\/24750*20.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 16. Suppose 5*g - 5*u = 50, -3*g + i = g - u. Suppose -3*m - m + g*z + 8 = 0, -5*m + 10 = 2*z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**2\/2 + h - 1. Let z be a(3). Suppose -4*w - z*t + 12 = 0, w - 2*t + 24 = 6*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Suppose 0 = n*z - 3*z. Suppose 0 = q - 3 - z. Solve -2*f - o = 8, 2 = -3*f + q*o + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/((-1)\/(-2)). Let r be (-8)\/(-42)*s\/2. Let u = 22 + -17. Which is the second biggest value? (a) r (b) u (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -376 - -319.2. Let k = 65 + q. Round k to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 232, 346, 458, 568?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let k be (-3 - (-1 + -2)) + (2 - 2). Let d(s) = s + 5*s + k*s - 4*s. Give d(p(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 80?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2636, 2958, 3352, 3854, 4500, 5326, 6368?\nAnswer: 7662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -49, -50, -49, -46?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15868 + -15865. Let y = 5 - 7. Let b(a) = -6*a - 2. Let f be b(y). Solve -f = 8*n - g*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2 + 4*m + 4. Let c(i) = 42*i**2 - 27*i - 27. Calculate -4*c(w) - 27*y(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 222*q**4 - 7757*q**3 + 21702*q**2 - 14168*q = 0. What is q?\nAnswer: -253, 0, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1288*j - 1286*j + 2589*j + 47*j**3 as v*j + c + t*j**2 + d*j**3 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/((-4)\/24). Suppose -82 = -t*d + 138. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*s + 7, 2*s - 3*s - 22 = 4*i. Let u(o) = -o**2 - 6*o - 2. Let q be u(i). Let y(n) = -n - 2. Calculate y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 284, 569, 854, 1139?\n\"Answer: 285*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 0.4 (b) -4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:23 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 20*b**7\/7 - 9*b**3 - 17. Find the third derivative of j(y) wrt y.\nAnswer: 2400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 104 + 6 = -58*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 53. Let o be s(-12). Suppose o*x - 1504 = x. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 435 - -3?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220723501 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*t + t. Suppose -4*s - 6 = 2*m, t*s - 5*m + 0*m = 2. Let f be (-6)\/s*(-16)\/(-24). Solve 2*j - f*p = p - 6, -2 = j - 2*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z. Suppose 0 = -5*n + 5*v + 20, -147*v + 21 = 4*n - 152*v. Sort -2, n, z, 6.\nAnswer: -2, n, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 4. List the prime factors of (-116)\/(-6) - w\/21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/5*2\/4*3\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 371 = 149. Let f = 137 - z. Calculate the remainder when 8 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 307 in 5, -2\/3, 2\/173?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from jeepmcmp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 6 - 10*g**3 + 7*g**2 + 6 - 5*g**2 in the form k*g**2 + f*g**3 + y + s*g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1609590118 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47799 is divided by 11556?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 353368283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27302249 divided by -27302249?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**40)\/i**(2\/51) assuming i is positive.\nAnswer: i**(2089\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -600, -926, -1286, -1692, -2156, -2690, -3306?\nAnswer: -4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1727225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -242223 divided by 3\nAnswer: -80741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20296 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 1, q: 2, l: 2, e: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 f when four letters picked without replacement from {f: 4, g: 11, y: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 118, 0, 4531 in descending order.\nAnswer: 4531, 118, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(162))*4 - ((-2*sqrt(1440) - sqrt(1440))\/((-2*sqrt(55))\/sqrt(11)))**2.\nAnswer: -636 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-45))\/(6\/(-27)). Suppose -4\/3*g + 2\/3*g**3 - 2*g**b + 0 + 2\/3*g**5 + 2*g**2 = 0. What is g?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 970, 930, 866, 778, 666?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*f - 2*f. List the prime factors of 2 - f\/((-28)\/120).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-45) + 11911\/4155. Let a(b) be the first derivative of 14 + 0*b**2 + 0*b + 11\/4*b**4 + 8\/3*b**w. Find the third derivative of a(j) wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/36)\/(-8) - (-4)\/18. Let a(v) = -11*v + n*v + 15 + 2 + 2*v**2 - 1. Is a(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(2\/15)*v)*v*v\/(v\/(((((v*v\/(v*v**(-1\/7)*v*v))\/v)\/v*v*v)\/v)\/v*v)))\/(v\/v**(-1)*v)**(-16) assuming v is positive.\nAnswer: v**(4831\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -86*r**2. Let f be q(-3). Round f to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158\/1155*(-1)\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from voov.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/240)\/((-14)\/20).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 2, j: 1, a: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 134. Suppose 3*v - 12 = r. What is the greatest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 14202*l**2 + 22410756*l - 11788057656.\nAnswer: 3*(l - 1578)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/10*1050\/735.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-392)\/(-28)*2\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:03 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 277.\nAnswer: -3\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 44*y**2 + 12*y + 24. Let x(n) = -4*n**3 + 6*n - 6. Let s be x(1). What is the remainder when q(s) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-20))\/(-2))\/(91\/(-35)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 5, -28, -5.\nAnswer: -28, -14, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-7)\/42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 5*h - 915 = 11*u, 4*u = 4*h + 912. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119386924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -4 - (-144 + 135)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668732 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 435*j**4 - 2335*j**3 - 3195*j**2 + 2330*j + 2760 = 0 for j.\nAnswer: -92, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:14 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 71 - 12)*(-3*m**2 + 5*m**2 + 0*m**2)*(2*m**2 + 2*m**2 - m**2).\nAnswer: 156*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**5\/5 - 8*n**4 + 20*n**3\/3 + n + 31. What is the third derivative of m(t) wrt t?\nAnswer: -48*t - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 148, 26, -368, -1034, -1972?\n\"Answer: -136*i**2 + 286*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p + 17*p + 7*p)*(-10 - p + 10)*(0*p + p + p) to t*p**2 + y*p**3 + k + q*p and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -16 - 18 - -60) + 102?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(10 + -11)*3. Let d(a) = 9*a**2 + a + 2. Let q(o) = 36*o**2 + 4*o + 9. Let z(s) = 26*d(s) - 6*q(s). Let c be z(y). Solve 0 = 4*h + 6 - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 - 24*z + 101. Let t be o(6). Let d = 521 + t. Solve 9*v - 7*v = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2876 is divided by 970?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.3 - 54.6. Round b to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*f = -202*f + 16. Calculate the common denominator of (-2)\/(f\/(-3))*(-511)\/(-63) and 18\/143.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -5*g + 1, 2*o = -2*g - 18. What is the remainder when 35 is divided by g\/(-30) + (-804)\/(-45)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 35*q**2 + 5. Let y(g) = 217357*g**2. Determine z(y(m)).\nAnswer: 1653542290715*m**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4205411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**4 + 2*y**3 - 4*y**2. Suppose -4*f = -10*f - 6. Let k be ((-6)\/(-8))\/((-1)\/4). Let q(g) = -g**4 + g**2. Let v(u) = f*h(u) + k*q(u). Factor v(n).\nAnswer: n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.2 (c) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**3\/7 + 63267*v**2\/7 + 43318206*v\/7 + 28850688\/7 = 0. Calculate v.\nAnswer: -6261, -768, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6*k = 113, -2*j - 68*k + 37*k = -36*k + 80 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -21*h - 84 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/3*(36630\/77)\/74?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/574 - -619\/1722. Which is the nearest to y? (a) -9 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/13)\/(i**(2\/9)*i*i))\/((i*i\/i**(-1))\/i**(-3\/8)) assuming i is positive.\nAnswer: i**(-4951\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 85398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*w + 66 = -249*w. Solve 0 = w*n - 4*m - 24, n - 4*m = 2*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - 6\/(-15). Let v = 6 + b. Suppose 4*d - d - v = 0. Solve 4*r - 4*c - 12 = 0, -r + 3*c = -d*c + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 4*t - 2*t + (1 - 6 + 3)*(-3*t + 3*t - t) + t - 2*t + 2*t - 1 + t + 1 - 3*t + t + 0*t)*(4 + 10 + 0) to x*t + s and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let m(s) = -7*s**2 - 5*s. Suppose 0*f - 3*f - 6 = 0. Let w(l) = -3*l**2 - 2*l. Let t(u) = f*m(u) + 5*w(u). Calculate t(r(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 860?\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 6*n - 6. Suppose -2*k - 11 = -3*a, -2*k + 55*a = 51*a + 14. Calculate p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:00 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -250\/13 at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*x = 367*x - 47970. List the prime factors of x.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g - 6*g**2)*(-1 - 4 + 2).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276570.\nAnswer: 2, 3, 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2)*x))\/(x\/(x*((x\/(x*x**(-1))*x)\/x)\/x))*(x*(x*x**(-1))\/x)**(-1\/27))**(-16))**(-4\/23) assuming x is positive.\nAnswer: x**(128\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 60*b - 56*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(700) - -1*sqrt(700)*2)**2 + -1*(0 + sqrt(700)))*-4 + 0.\nAnswer: -25197 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000768050643 rounded to seven decimal places?\nAnswer: 0.0007681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 6*k - 3*k - 47, -k = 1. Is g + 12 - (-186)\/3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - sqrt(121)*-2)*-1*-2)\/((5*(sqrt(176) - sqrt(11)) - sqrt(11)) + sqrt(11) - sqrt(55)\/sqrt(125)))**2.\nAnswer: 2475\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 24 = z - 81, -4*q + 2*z + 54 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738059162?\nAnswer: 2, 509, 725009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = -3*n. Let j = 1743 + -10481\/6. Let h = j + 7\/2. What is the closest to -0.1 in 2\/3, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -43*b - 17. Let s(q) = 47*q + 21. Let h(r) = 4*s(r) + 5*y(r). Let a(k) = -80*k - 3. What is -3*a(c) + 8*h(c)?\nAnswer: 24*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004285836 to seven decimal places.\nAnswer: 0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6607 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/5282085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*i**2*l*s - 2*b**2*i*s + 2*b**2*l*s - 79*b*i**2*s - 12*b*i*s - i**2*l*s + 13*i*l*s wrt i.\nAnswer: 4*b**2*l*s - 158*b*s - 2*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*l - 10826 = -10786, -2*l = -24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -41, -100, -183, -290, -421?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + d**3 + (-81 - 33 - 52)*(4 - 4 - d)*(2*d**2 + 2*d**2 - 2*d**2).\nAnswer: 333*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o, 5*o - 8*o - 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1157429.\nAnswer: 3472287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:13 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 93*l + l**2 + l**3 - l**4 + 86*l to j*l**3 + b*l + d*l**4 + z*l**2 + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p. Let a(z) = z**2 + 5*z. Let j be (-6)\/8 + 39\/(-12). Let r(m) = j*a(m) + 3*u(m). Find the second derivative of r(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -434 + 453. Let m = 55 - 19. What is the remainder when m is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 4, q: 2}. What is prob of picking 1 q and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 times -2.172\nAnswer: -0.110772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.101 (b) -2\/109 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/60*4*(-35)\/112)\/(13\/(-78)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2077, 1691, 1293, 877, 437, -33?\n\"Answer: -h**3 - 379*h + 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/30 - 29*m**3\/3 - 65*m**2. Let n(y) be the first derivative of v(y). Let i(d) = -47*d. Give i(n(k)).\nAnswer: 188*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 18. Let g = 15 + r. What is the second biggest value in -4\/5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 111. What is the greatest common factor of w and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2. Let h be w(-2). Suppose h*x + 11 = 27. Calculate the highest common factor of 64 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - w + 8*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*m**2 + 25543*m - 4 + 296*m**2 - 583*m**2 - 25543*m + 4.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-9))\/(8\/24). Suppose r - h = 15. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 - (5 - (6 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3)*z)\/(z\/(z**(1\/8)*z)*z)*((z*z*(z\/(z\/(z*z*z**(-1))))\/z)\/z)**(-36))**(-20) assuming z is positive.\nAnswer: z**(4385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 5269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5967\/4 + 1493. What is the closest to 1 in r, 0.3, -15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/135)\/((4\/(-5))\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670, 1333, 1986, 2629, 3262, 3885, 4498?\nAnswer: 5101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27 - -26)*-1*3. Solve l*q + 7*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/20)\/(28\/(-35)). What is the second smallest value in 5, 2\/3, 2\/11, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-4 - -4) + (0 - 0)). Let i(s) = 2*s**3 - 2*s**2 - 5*s + 6. Let u be i(t). Solve -u*o + 2*x + 4 = -2*x, -x = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9372885191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1080*t**3 + 6*t**2. Let d(m) = 3240*m**3 + 20*m**2. Calculate -4*d(i) + 14*w(i).\nAnswer: 2160*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20)*-2*-40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 + 4*a**4 + (4*a**2 + 0*a**2 - 3*a**2)*(0*a**2 - 3*a**2 - 2*a**2).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 12*d - 14*d. Suppose -4*w = -d*w - 19. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358522, -717050, -1075578, -1434106?\nAnswer: -1792634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 5. Let v be u(6). Let b = 3 - v. Suppose -3*l = -4*x - 53, -b*l = -0*x + 2*x - 78. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3143044 - 4342?\nAnswer: 3133202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2167527788 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f - 9. Let v(t) = 2 + 7 - 5*t - 1. Let a(l) = 6*d(l) + 7*v(l). Let x be a(1). Solve -4*u + 28 = -x*r, 0 = 5*r - 2*u - u + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - u**2 + 3*u + 8*u + 336.\nAnswer: -2*u**2 + 11*u + 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1026\/9234 + -5 + 32\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133 + -71 + 175 - (-21 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xxqxhbqbhbhbqh.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -4 - 10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17696)\/(-237))\/112*((-219)\/(-6))\/((-4)\/(-12))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245667 by 51.\nAnswer: 4817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - o - 1 + (0 - 4 + 2)*(-2*o - 3*o + 3*o) + o + o + 0*o + 9*o - 3*o + o - 1 + 1 - 4*o + (o + o + 0*o)*(2 - 4 + 3).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from xvvvgxthtxgtxhdg?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, c: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 65 = -63 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 - p + 1. Let r(b) = 7*b**3 - 3*b**2 - 12*b + 32. Let m(j) = 6*n(j) - r(j). Is 7 a factor of m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.428 - -42. Let i = -28106 + 28105.56991. Let n = y - i. Round n to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1413893.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/20 + 1\/(-4). Which is the biggest value? (a) 0.1 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - (-5 - 2)) + (-7 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*u = 86*u + 10. Solve -26 + u = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1\/2, -23\/3, 53959, 0.4, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*34234.624\nAnswer: 68469.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**32)**(-19))**(-26))**(-19\/2) assuming s is positive.\nAnswer: s**(-150176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 48681150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m**2 - 7*m + 8. Let w(t) = -35*t**2 - 13*t + 15. Let f(v) = 11*n(v) - 6*w(v). Factor f(b).\nAnswer: (b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a (base 11) to base 16.\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6766*w**3 + 1 + 0 - 1 - 6762*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -31238, -3 in increasing order.\nAnswer: -31238, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + (-3 - -9))\/(-3). Let i = 12 + 8. Solve 0*k + 4*k - i = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/60 - 19*q**4\/24 + 13*q**3\/6 + 12*q**2 - 59*q + 1. Give u(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1290.7 - 852.7. Put -0.2, d, 0.2 in descending order.\nAnswer: d, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(180) + (sqrt(5) - sqrt(5)*-1)*3)**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/7)\/((-112)\/(-392)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 1. Let w be q(2). Let l(t) be the first derivative of -2*t**2 - 18. Let n be l(w). Calculate the greatest common factor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 7*m + 4*m)*(-m + 2*m + m)*(0 + 4 - 2)*(4 - 4 - m**2).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (7 - (15 + -9)) + -7 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481205666 to the nearest integer?\nAnswer: 21936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 4 - (-14)\/1. Let u = d - 15. What is the smallest value in u, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 12\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2404501 + -11.21448\nAnswer: -2404512.21448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0905 times -198?\nAnswer: 1205.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*-1)\/(1*sqrt(6)*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -80, -135, -210, -311, -444, -615, -830?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353*u + 7971*u + 4536*u + 2051*u.\nAnswer: 13205*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.399 + -2.39898223. What is z rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20 and 57\/1366?\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -33*p + 2989. What is k(92)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 185 * -4\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 37\/189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 + 3*a**3 + a**2 + a**2 + (-5*a**2 + a**2 - 6*a**2)*(4*a + 2*a - 4*a) in the form r*a + m*a**2 + x*a**3 + q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d + 0*d**2 - 2\/9*d**3 + 1\/9*d**4.\nAnswer: d**3*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 2704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -90. Let c be ((-7 - -7) + i)*-1. Solve 4*l = 32 - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47187 * -3\nAnswer: -141561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 3*h**4 - h**4 + (4*h - h - 5*h)*(-4 - 3*h**3 + 4))*(-2*h + h + 0*h) - 6*h**5 - 762*h**4 + 3*h**3 + 762*h**4.\nAnswer: -15*h**5 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (4 - ((-1 - (6 + -11)) + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753862644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/((-7)\/(700\/(-10)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2611, 5202, 7771, 10324, 12867, 15406, 17947, 20496?\n\"Answer: d**3 - 17*d**2 + 2635*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/24*l**4 + 8*l + 0 - 5*l**2 + 1\/2*l**3. Let w(g) be the first derivative of i(g). Find the first derivative of w(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6 + 13 - 3 - 4 - 15*z**2. Let f(k) = 2*k. What is h(f(t))?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 27 - 2*j + 6 + 13.\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) - 21\/7 - -4528. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2053 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 71 = 9. Let l be 10\/v - (-37)\/4. Solve -l = -2*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:41 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 4:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1849372 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 * 125769.\nAnswer: -10564596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6*f = -2*f - 572, -3*o = 4*f - 430. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8128094 to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096032173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*f**3*g*h**3 - 2*f**3*h**3 - 2*f**2*g*h + 2*f*g*h**3 - f*g - 3*f*h wrt f.\nAnswer: 360*g*h**3 - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181*j + 1099*j - 2 + 2 + 1181*j - 4592*j + 1162*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14242)\/(-14) + (-8)\/28. Suppose -2*d - 177 = y - 720, -3*d = 3*y - 1641. Let c = a - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.96 - -0.04. Let w = -2 + d. Let m = 769 - 773. Which is the nearest to -1\/2? (a) w (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13734855 by -4578285.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.0019, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6763 + 27282. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 11. Let w(z) = -2*z + 4. Let r(a) = 4*c(a) + 11*w(a). Let i(o) = 18*o**2 - 14*o**2 - 22*o**2. What is i(r(h))?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1974\/5 - 36966\/95. Which is smaller: f or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(128) + (3*sqrt(128) - sqrt(128)) + 2))**2.\nAnswer: 2400*sqrt(2) + 28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 685*d - 267868. What is c(391)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 849? (a) 1\/6 (b) -0.3 (c) -2\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 11*o**2 - o + 3. Let c be i(-11). Let u = c + -10. Solve 0 = 2*a, u*b = -b - 5*a - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256071, -511937, -767803, -1023669?\nAnswer: -1279535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -505, -1 in decreasing order.\nAnswer: -1, -2, -3, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.079502 + 6.2935845?\nAnswer: 4.2140825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + 16. Let h = 8 - 0. Let x = u + h. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 + -536 + (1 - -19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*l**3 - 2*l**2 + 2*l + 17 wrt l?\nAnswer: -372*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514866 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 504396 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1 + 2)*-24. Let u = g + -61. Let k = u - 24. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 187403, -6\/35, 4?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rravivgvrrgvia. What is prob of picking 2 r and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/96 and 133\/120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/1)\/3*3\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 30. What is i(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**3 - 12*s**2 - 115*s + 1064. Let i be u(9). Calculate the highest common factor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:42 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 15. Let x be (-3 - a)\/(2 + -1). Solve n - 4*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 628*v + 5*v**4 - 1812 - 59*v**2 + 120*v**2 - 63*v**2 - v**4 - 2*v**4 wrt v.\nAnswer: 8*v**3 - 4*v + 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:02 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.422291 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1948068 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/494381512 and -97\/12.\nAnswer: 1483144536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.63 - -5.77. Let x = r + -79. Sort x, -4, -0.2.\nAnswer: -4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*f, -5*f - i - 3*i + 30 = 0. Suppose -2*k + 18 = 2*y, -y + 4*k - 1 + 25 = 0. Differentiate -7*t**f + 3 + t**2 + y*t**4 + 6*t**2 wrt t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, y: 5, a: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/60 + 7*d**5\/10 + 7*d**4\/24 + 13*d**3\/6 - 28*d**2. What is the units digit of u(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 141 - 11?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26*f**2 - 6*f + 10. Let j be v(10). Suppose 0 = 3*z - n + 5*n - 7672, 0 = -z - 5*n + j. Suppose -i - 1284 = -2*m, 5*m + 2*i = m + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25817540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101934, -101758, -101568, -101358, -101122, -100854, -100548?\n\"Answer: o**3 + o**2 + 166*o - 102102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 725 and 57153200?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680306 (base 9) to base 6.\nAnswer: 12420223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (9 - (3 + 3)). What is the nearest to 0.2 in 1\/6, k, 3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 - 3*v - 4. Let u be s(4). Let l = -36 + 36.1. What is the closest to -1 in u, l, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 360*f**3 + 4*f**2 + 3*f - 5. Suppose 0 = -18*n - 7 + 43. Is w(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**2 - 4*d**2 + 2 - d**2. Let w(p) = -2*p. What is w(u(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12186609 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19621 and 11.\nAnswer: 215831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, n: 8, e: 7}. Give prob of picking 1 r and 1 e.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-318)\/112 + (-16)\/56)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpmfpppppmfpmmmpmff. Give prob of sequence mf.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16766*m. Let r(x) = -3*x. Calculate d(r(b)).\nAnswer: 50298*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -149*k - 1098. Calculate y(-6).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3 + 0*i**2 - 12*i + 1\/24*i**4 + 0 - 7\/120*i**5. Let z(q) be the second derivative of c(q). Give z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.445 times -0.5?\nAnswer: 0.2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2847 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1332)\/3848*8\/(-6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.782 or 0.4?\nAnswer: 5.782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176651, -176646, -176631, -176600, -176547, -176466, -176351, -176196?\n\"Answer: h**3 - h**2 + h - 176652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12 - (124\/24 - 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27740*t**3 - 209*t**2 + 4*t - 11.\nAnswer: -166440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2 - sqrt(110))*-4)\/(sqrt(360)*-1 - sqrt(360)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -16 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 38 = -6*y. Suppose 3*z - 4*z + 10 = 0. Calculate the remainder when y is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-36))\/((-4)\/60*-35).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and 17\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-350)\/(-15) + 1\/(-3). Let q = d + 14. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2817486*k + 1408750*k - 32*k**2 - 1 + 1408734*k - 35*k**2.\nAnswer: -67*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159982 - -50?\nAnswer: 160032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138877.\nAnswer: 113, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67102521 is divided by 6309?\nAnswer: 6306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((5*-3)\/5). Let n(d) be the third derivative of 0 + 0*d**3 + d**2 + 8\/15*d**5 + 0*d + 1\/4*d**6 + y*d**4. Let n(q) = 0. What is q?\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/4 + 2*y**3 + 8*y - 10. Let l be f(6). Let x be l\/(-10)*(-210)\/12. Which is smaller: x or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*w**2 - 65*w**2 - 408*w**2 in the form i + g*w**2 + l*w and give g.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 6*k + k**2 - 5*k + 9. Let i be z(3). Suppose -m + i - 2 = 0, -2*s = 4*m - 106. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28165010 not equal to -28165010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 6*j - 5. Let q be z(-4). Suppose -5*i - q*v = -75, 4*i = 5*v - 9 + 32. Suppose i = 3*n - n. What is the smallest common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from wwwwwlwlwwlwwlwlwl.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.6 - -4.8. Let s = -53 - x. What is the nearest to -1 in s, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -83*j**2. Let b(u) = 675*u. Calculate c(b(p)).\nAnswer: -37816875*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/4 (b) 2 (c) 4 (d) -0.26 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u + 510 = -7*u. Let o be (-1 + 0)\/((-1)\/14). Let j = -10 + o. What is the remainder when u is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*b + 10, -5*b = 3*n + 14 + 7. Let h(z) = 3*z**3 + 4*z**2 - z - 1. Let w be h(b). Let d(a) = a**2 - 19*a + 17. Let v be d(15). Does v = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6692452.\nAnswer: 2, 13, 179, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14551 + 14375. Which is smaller: b or -151?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2168\/85 + -454\/17. Which is the closest to 13? (a) q (b) 2\/5 (c) 7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 24, 31, 34?\n\"Answer: -2*u**2 + 17*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73116 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -k - 51 + 176, -2*u - 5*k = -105. Let s = 59 - u. Suppose 3*q - s = -1. Solve 0*t = -3*t + q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/455 and 7\/15.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**3 + 0*v + 1\/12*v**4 + 0 + 6*v**2. Let i be z(4). Solve 0 = 3*h + i*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-14 + 7 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*t - 0*k - k, -5*t = 3*k - 52. Let c(r) = r**3 - 7*r**2 - 7*r + 13. Is 3 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -441, -873, -1305?\n\"Answer: -432*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 16*m**4\/7 + 395032*m**3\/7 + 592521*m**2\/7 + 222193*m\/7 + 24688\/7 = 0.\nAnswer: -24688, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -334, -437, -496, -511, -482, -409?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*c - 89, 2*c - h = -0*h + 35. What is the common denominator of (-7)\/12*c\/4 and 774\/(-69) - (-98 + 85)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 107*z - 17 - 125 - 247*z.\nAnswer: -354*z - 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 675*b**3 - 3*b**2 - 938*b**3 + 964*b**3 + 3*b**2 + (2*b - b**2 - 2*b)*(-b + 2 - 2) - b**3 + 0*b**3 - b**3 as r*b**3 + c*b + g*b**2 + t and give r.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 5. Let o(a) = 4*a - 6. Let b(p) = 5*n(p) - 4*o(p). Let h be b(-4). Find the first derivative of -4*t**3 - 5*t + h + 5*t wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 94*h**2 + 2013*h + 7. Determine s(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {v: 9, w: 2, u: 4, r: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32757?\nAnswer: 3, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 10*d + 9. Let z be y(-9). Suppose z = -2*g - 2*g + 220. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21876 - -21876. Let c = 13.64 - 13. Is w at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81126 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 7. Let t be i(8). Let s be 96\/30 + t\/(-5). Suppose -k**5 - 1 - 7*k - k - 10*k**2 + k + 2*k - 5*k**4 - 10*k**s = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86599 is divided by 28841.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818345689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29514679 and -15.11661.\nAnswer: 29514663.88339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 15 = 5*i. Suppose 2*g + 5 = g. Let u be 3 - g\/(2 + -7). Solve -f + i*f = -u*s - 6, -2*f = -2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (14 + -7)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*-6 + 6. Suppose -2*d - o*t = d - 1572, t + 2638 = 5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2787 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(117) + 3*1*sqrt(117) + sqrt(117))*-2)\/(-5*(sqrt(144)*1 + sqrt(144))).\nAnswer: 4 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:58 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Let f be -4 - 12 - (1 + x + -3). Let p = f + 18. Solve -15 = p*l - 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6)*(3 + 7). Let v = 39 - r. Calculate the remainder when v is divided by 16 - 3\/(1\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 628*r**2 - 90420*r + 351632.\nAnswer: 4*(r - 4)*(157*r - 21977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, -30, 63\/4, -3 in descending order.\nAnswer: 63\/4, 5, 1\/3, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 2*x + (3 + x - 3)*(-1 + 2 + 1) + 2*x - 4*x + x)*(-78*x + 104*x + 71*x).\nAnswer: 194*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 33*i + 7 + 26*i - 65*i. What is the tens digit of u(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:23 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 - 6 = 0. Let k = 7 - f. Let r be -2 + 1 + (-27)\/(-15). Is r < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqnnfff. What is prob of sequence nfnf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353558 = -375*r - 99683. Calculate the lowest common multiple of r and 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 9, 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfr when three letters picked without replacement from {n: 1, f: 8, r: 11}.\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.79 plus 66624896268?\nAnswer: 66624896265.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632296285 by -5.\nAnswer: -126459257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 4849244?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4561.022 + 4561. Put 19, 4\/3, p in descending order.\nAnswer: 19, 4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 88. Suppose -5*i = -5*r + 560, i = -i + k*r - 228. Round i to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 0. Suppose 33 = 11*n - t*n. Let s(k) = 11 - k - n. What is s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 32*s - 264.\nAnswer: 2*(s - 6)*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Let t = 14.6 + 111.1. Let n = t + -126. Put f, -1, n in descending order.\nAnswer: f, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**4*l + 11*j**2*l**3 - 47*j*l**2 - 2*l**3 wrt j.\nAnswer: -72*j**2*l + 22*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:11 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4840816 and 20.\nAnswer: 24204080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + m - 24 = 0, 1 = p + m - 3. Suppose 3*x + 7*w - p*w = 9, 0 = -2*x + 3*w + 6. Solve x = -2*j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 109*j\/4 + 9\/4.\nAnswer: (j - 9)*(12*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 3. Let k be r(-3). Suppose 0 = 5*s - 12 - k. Calculate the least common multiple of 5 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226120097.\nAnswer: 3, 37, 11046127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-8))\/(1\/8). Let l(k) = -8*k**3 - 9*k**2 + 7. Let y = -38 - -33. Let w(a) = -9*a**3 - 9*a**2 + 6. Let b(u) = r*l(u) + y*w(u). Factor b(v).\nAnswer: -3*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 28. Suppose 5*k - 5*f - 320 = 0, 105 = 5*k - 2*f - 227. Let u(t) = -k*t**2 + 30*t**2 + 37*t**2. What is u(q(z))?\nAnswer: -4*z**2 + 112*z - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 0 + (0 - -5)*2. Sort h, 5, 7, 0.\nAnswer: 0, h, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (0 + (0 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -28. Suppose -18*z + 15*z + 36 = f. Calculate the remainder when 46 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31318, -62676, -94034, -125392?\nAnswer: -156750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let g(a) = 10*a**2 + 20. Let o(m) = 1. Let l(k) = g(k) - 20*o(k). Calculate l(j(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71\/6 + -911\/78. Let b = 1 - 0. Let n = b - 1.4. What is the closest to 0 in -0.3, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275626688 divided by -10048?\nAnswer: 27431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 19*w + 639. What is t(-25)?\nAnswer: 2664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 2*y + 2*y + (0 + 2 + 0)*(-1 - 2*y + 1) - 406 + 406 - 151*y as o*y + l and give o.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.2, -3\/7, 4, 26, -528?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 6867 + 616 = 105*b - 1067 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 14476934.76 * 0.1\nAnswer: 1447693.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 + 0 - (49 + -41)) + (21 - 3).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3403255, 13613245, 30629903, 54453235, 85083247, 122519945, 166763335, 217813423?\n\"Answer: z**3 + 3403328*z**2 - z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53755 + -4514?\nAnswer: 49241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 15. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 130330, 130322, 130312, 130300, 130286, 130270?\n\"Answer: -q**2 - 5*q + 130336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 874*k + 161. What is the units digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9224*i**3 - 20401*i**2 + 138484136 wrt i?\nAnswer: -27672*i**2 - 40802*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (663\/1768)\/(3\/(-26))*4*3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-20)*4*1*(-55)\/33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 8. Let v(c) = -1. Let w = 362 + -794. Let m = w - -433. Determine m*v(h) - l(h).\nAnswer: -2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6598.\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 6}. Give prob of sequence aaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -1. Suppose 5*r - 5*b - 25 = 0, -5*b = l*r - b + 8. What is the third derivative of 16*q**3 - 4*q**5 - 5*q**r - 16*q**3 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(3 - (3 + -1)))\/(-1). Let n be ((-12)\/36)\/(52\/51 + l). Let j = 20 + n. Solve o = -2*z - 2 + 7, 20 = -o + j*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 2 j when four letters picked without replacement from bojjjbjbjb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2800\/(-1050))\/((2\/(-16))\/(-3*(-2)\/(-4)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1251 + -5237\/834. Let o be (1\/55)\/((-4)\/(-2060470)). Let q = -9364 + o. Calculate the common denominator of p and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -10*f + 13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -307491 or 2.89?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 0.04, 3\/4, -271, 297 in descending order.\nAnswer: 297, 3, 3\/4, 0.04, 0, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6897 * 4266.\nAnswer: 29422602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(78\/(-84) - -1) + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 642 = -4*u - 806, 114 = 2*h + 2*u. Calculate the highest common factor of 392 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24871*-5\nAnswer: -124355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 19*c + 100. Let k(a) = 52*a + 293. What is -4*k(h) + 13*s(h)?\nAnswer: 39*h + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + -3 - (-91)\/14. Suppose 15\/2*y + 3 + n*y**2 = 0. What is y?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(108) + -2 + 0 + sqrt(108) + 5*-2*sqrt(108))*6)**2.\nAnswer: 6912*sqrt(3) + 248972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3123 + 4848. Is 115 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 156.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(2\/7)))\/q)\/q)\/(q**1*q*q)*((q**(-1)\/q)\/q)\/(q*q**(-5)*q)*((q\/((q\/q**(2\/3))\/q))\/q*q*q*q\/((q**2\/q*q)\/q)*q*q)**19 assuming q is positive.\nAnswer: q**(1763\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4976798*g**3 - 2784*g + 496 wrt g.\nAnswer: 29860788*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.815 - -0.185. Is 1 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/3 - 41454*p - 124363\/3 = 0 for p.\nAnswer: -1, 124363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 18. Let x be h(14). Let s(q) = q**2 - 5*q - 2. Let u be s(5). Is u + 0 - 0 - (-1 - x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000285512225 to 6 dps.\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i - 70. Let u be y(3). Sort 5, -1, -6, -5, u.\nAnswer: -6, -5, u, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87214370 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 + 4.81. What is the closest to 1\/3 in c, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 515748 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y + 163*y - 82*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3596b (base 13) in base 2?\nAnswer: -10111111111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:06 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -72\/13*n**2 + 16\/13*n - 50\/13*n**5 + 4*n**3 + 0 + 90\/13*n**4 = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59308499 is divided by 119.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221112 (base 3) in base 5?\nAnswer: -114314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*r + 3711, -2792 = -3*v + 7*r - 5*r. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 2*l**2 + 48 - 13*l**3 + 14*l**3 - 1349*l**4 - 127 to the form t*l**3 + o*l**4 + a*l + k + f*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/90 + 205*r**4\/9 - 168100*r**3\/9 - 2051*r**2. Find n such that x(n) = 0.\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.032\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*h - 3387, -11*h + 15*h + 6744 = 4*a. List the prime factors of (a*(-14)\/63)\/((-2)\/3).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14961041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.382 + 28.382. Which is the closest to 2? (a) 52 (b) o (c) -5\/2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-48) - (-117)\/4. What is the highest common divisor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -x + 20067, 3*j - 22141 = -3*x + 37988. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*z + 1\/6*z**2 + 0.\nAnswer: z*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 + h - 1. Suppose -4*j = -3*c + 4 - 11, 3*j = c + 9. Let o be r(c). Let b(d) = 57 - 34 + 15*d - 8*d - 24 - 9*d. Determine b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-90) + 1 + (-14)\/10. Let n = 30 + -121\/4. Which is the second biggest value? (a) -3\/5 (b) p (c) -2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2922 + 2922 - 14517*n to m*n + c and give m.\nAnswer: -14517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebe when three letters picked without replacement from eeb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59624508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16215420 to the power of 1\/2, to the nearest integer?\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 42 = -48 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3 - 5*h**3 - 5 + 5*h + 5*h**2 - 3 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16965 - 67435 = -1688*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**5*o - d**3*k**2 + d**3*o**3 + 2*d**2*k**2*o**3 + 220*d*k**2*o + k*o**3 wrt d?\nAnswer: -1380*d**2*o - 6*k**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)*d*d)\/d**(-13))\/(d\/((d\/(d**(-1\/2)*d))\/d*d*d))**(-2\/5) assuming d is positive.\nAnswer: d**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-85)\/(-850)*170\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 198\/(-45) - -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*h**3 - 70*h**3 - 64*h**3 + 7*h**3.\nAnswer: 66*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -93373 times 5117\nAnswer: -477789641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:59 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 11*q - 1867*q**3 - 1053*q**3 + 11*q)*(-q - 2*q + 2*q) to k*q**3 + z*q**4 + f*q + a*q**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173 * 0.3.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 87\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w = -60*w + 12. Is 17050\/6 + (1 - (-5)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 129670058*k**2. Let j(f) = -2*f**2. Calculate j(d(s)).\nAnswer: -33628647883446728*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971 divided by 7.\nAnswer: 971\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 0*d**3 + 2*d**3)*(-5 + 1 + 3)*(-16168 + 141*d + 16168).\nAnswer: 282*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 7*t - 1. What is j(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388925\/81 + (-4)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 4*z - 1. Let k be f(5). Let i(x) = -x**3 - 5*x**2 - x - 6. Let q be i(-5). Put k, q, -4 in decreasing order.\nAnswer: k, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289 + 292. Let z be (3 - 0) + 2\/(3 - 2). Let d be 27\/(-60) - (-1)\/z. Which is the closest to -1? (a) 5 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110012 (base 3) to base 16.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -27\/5, 3, -1\/6 in descending order.\nAnswer: 3, 2\/9, -1\/6, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -183*n**5\/40 + n**4\/12 + 5*n**3\/3 + 7*n**2. Let b(a) be the first derivative of s(a). Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 - 5*q**2 + 6*q**2 - 4. Suppose 25 = 4*n - 39. Calculate the remainder when g(7) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8661325 is divided by 1510?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)\/g**(-4\/11))\/((g*g*g**(2\/19))\/g**(4\/11)))**(2\/81) assuming g is positive.\nAnswer: g**(-1361\/33858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -25.43. Let q = -0.03 - c. Let n = 0.6 + q. What is the third smallest value in -4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlvdvdld. Give prob of picking 1 l and 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*b - 2*s, -b + 6*b + 6 = -3*s. Suppose 2*q - 6*q - i + 10 = b, 19 = 5*q - 2*i. Is q - 1 - 0 - -753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + j - 3. Let w = 3 - 8. Suppose -3*u + 18 = -0*u. Let f(q) = -4*q**2 + q - 4. What is u*d(r) + w*f(r)?\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*s - 216 + 262 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvmmvn. Give prob of picking 1 m, 1 v, and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 97 = 85. Let y be (-1 - 3 - t)*-3. Sort -0.3, -3, -2, y in increasing order.\nAnswer: -3, -2, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-8)*(-351)\/2925.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-9)\/(-72) + (-5)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/4, 5, 119, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*s + 18 = -3*s, 1 = 4*v - 5*s. Let c(w) = w**3 - 9*w**2 - 11*w + 10. Let b be c(10). Suppose -3 + b = -i. Solve 0 = v*f + 13 + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8406 - 6844. What is the highest common factor of 1207 and g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-728)\/(-7)*(-2 + 1)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27345 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -27\/98, -23\/16 in ascending order.\nAnswer: -23\/16, -27\/98, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13597.654566 - 18.611566. Let b = d - 13571. Let a = 8 - b. Round a to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + 5 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5076*i - 10384*i - 230 = -5078*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 28321720.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222\/25 + 2407\/150. Find the common denominator of j and 4\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*d - 71785, 2*u - 2*d = 7158 + 136392. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2603840 divided by -2.\nAnswer: -1301920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 702\/(-72) + 1\/(-4). Let k = x + 9. Let p(h) = -12*h**3 - h**2. Calculate p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26748a (base 15) in base 2?\nAnswer: -111000010111101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -47. Suppose 5*r = 11 - p. Is 37 a factor of 2 - (-68 + (-4)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*n - 90*n + 9. Let o be ((-1)\/4)\/((-24)\/(-180)). Is n greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 7*r. Let z be p(3). Let j(w) = 3*w + 12. Let d(a) = a**2 - 58*a - 906. What is the remainder when j(z) is divided by d(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 15. Let u be x(17). Let d be (u\/(-3))\/(16\/(-216)). Suppose 69 - d = 2*g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479905788 a multiple of 4124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 30502104?\nAnswer: -30502110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -77308 and -59.\nAnswer: -77367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**9)\/g)\/g*g*g\/(g*g**(-5)))**(-26)\/((g**(-2\/7)*g*g)**(-6\/7)\/(g*g**(1\/4)*g\/(g*g**(-2\/3)))) assuming g is positive.\nAnswer: g**(63143\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.945973 nanoseconds in microseconds?\nAnswer: 0.003945973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 26\/18*(-5 + 11))*3. Solve 4*k - 9 + t = 0, -h + 2*k = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12. Solve t = -6*i + i + 2*z + 17, -4*i + 32 = 3*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5 + 0*p**2 - 3 - 2*p + p - p**2. Let t be q(-2). Let z = 2 - t. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 6*k = 2*r - 486, -3*k + 1193 = 5*r. Let t = 260 - r. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 24*n. Let f(b) = -869*b. Determine f(i(l)).\nAnswer: -20856*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 119, 132, 163, 218, 303, 424, 587?\n\"Answer: a**3 + 3*a**2 - 3*a + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j - 3*j + 9 - 157 + 4*j + 1010*j**2 + 582*j**2 wrt j?\nAnswer: 3184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 58, 156, 304, 508?\n\"Answer: m**3 + 16*m**2 - m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 314 - -258?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/(-4)*-5. Let m be (-1)\/2*2 - -18. Suppose n = -3*k + m. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3395.2 - -3392. What is the fourth biggest value in 1\/3, -2\/15, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -a + 2*d + 628, 0 = -3*a + 4*d + 2974. Suppose 660*v - 8988 = 18*v. What is the highest common divisor of v and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 110 = 3*t. Suppose -2*f - t = 2*f. Let r be (-6*1\/(-1))\/14. What is the third biggest value in f, -0.5, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287638.1g to milligrams.\nAnswer: 287638100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175 - 92 - 16*i - 11*i - 5*i - 131 + 196*i**2 - 60*i**3.\nAnswer: -4*(i - 3)*(3*i - 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1972, 3\/8, -3, 4\/7?\nAnswer: -1972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -981 + 1121. What is the lowest common multiple of 112 and y?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvxvfvvxvxfv. Give prob of picking 2 f and 2 v.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 65*b + 452. Calculate x(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(-5 + 5 - 29*u + (0 + 0 - 2*u)*(-5 + 2 + 2)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 - m**2 + m**2 + 330*m - 295 + m**3.\nAnswer: m**3 + 330*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.206 (c) 0.07 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 + 4*i**4 + 0*i + 2*i**4 + 0*i + (-i**2 + 0*i**2 - i**2)*(-2*i + 2*i**2 + 2*i) - i**3 - 2*i**4 + i**3 + 0 - 2*i**4 + 0.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 5. What is the greatest common divisor of 91 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4329 and 7215.\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, n: 1, g: 1, f: 1}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22025, 44060, 66103, 88154, 110213, 132280?\n\"Answer: 4*m**2 + 22023*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15291, -30581, -45871, -61161, -76451, -91741?\n\"Answer: -15290*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 41*d - 39. Solve 0 = 4*b - 5 + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 - 1671860*c\/9 + 349389482450\/9 = 0. Calculate c.\nAnswer: 417965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243 by -3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/27 + (-1689)\/(-540) and 25\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 1 + 1 + 4 - t - 4 + 4*t + 3*t - 6*t + (-t + 3*t + 0*t)*(0 + 0 + 2) + t - t - 8*t - 2 + 2 - t as g*t + a and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -272050.9 minus -2?\nAnswer: -272048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 101, -111, -645, -1501, -2679, -4179?\n\"Answer: -161*c**2 + 271*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/12 - 4*l**3\/3 - l**2. Suppose 5*n + 1 + 4 = 0, d = -2*n + 5. What are the prime factors of w(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 709625 and 4375?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d + 34*d - 2*w = 78*d + 3*w - 23, 0 = 4*d + 849*w - 5967 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:31 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176, -579, -1162, -1955, -2988?\n\"Answer: -5*q**3 - 60*q**2 - 188*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 0. Let r(l) = 2 + l + 0 - 4 - 2*l. What is the units digit of r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15064 is divided by 1083?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 13*p = -5*a + 54, 44 = 4*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*o**2)*(-2*o + 11*o + 5*o) + (1 - 2*o - 1)*(-o + 5*o + o)*(3*o - o - 10*o) + (-3 + 4 + 1)*(-5*o**2 + 5*o**2 + 3*o**3).\nAnswer: 114*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -7\/27*n**3 + 208*n + 0 - 7\/54*n**4 - 1\/45*n**5 - 2\/9*n**2. Suppose l(v) = 0. Calculate v.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(4*v - 4*v - 2*v) - 2*v - 2*v + 2*v - 150 - 11*v + 293 - 148)*(-6 + 3 + 2).\nAnswer: 9*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/53 + 61\/212. Let b = 27.054 - 0.054. Let w = 95156 + -95157. What is the nearest to q in w, -4, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1082 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v - 1. Let d(x) = -33*x - 3. Let q(m) = -6*d(m) + 11*u(m). Is q(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g + 27. Let u be k(8). Solve -3*d = -5*x - u, 0 = 7*d - 3*d + 3*x - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 2 + 0*l + 1 + 0. Let q be s(2). Let d = q + 13. Solve 5*j = 5*y - 5, -d*j - j = y - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {h: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) + (sqrt(154)*4 - sqrt(154) - sqrt(154)))\/sqrt(7)*5)\/(-6*sqrt(1331)*-3) + 0.\nAnswer: 5*sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334530993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 524972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + p = 5*h - 35509, 17756 = 2*h - 2*p. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 86 (b) -1 (c) -3\/7 (d) -4 (e) 315 (f) -3\/4 (g) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 14313.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372757 is divided by 124045.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s. Let k(a) = -8*a**2 - 32*a + 48. Let f(y) = -2*y + 3. Let x(m) = 80*f(m) - 5*k(m). Calculate x(n(j)).\nAnswer: 5760*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - (3 - 6)) - 7 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s**2 - 40*s + 103*s - 63*s + (0*s + 2*s - s)*(25*s + 3 - 3) + (1 - 2*s**2 - 1)*(3 - 4 + 3) in the form v*s + c*s**2 + g and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p + 7*p. Calculate the remainder when 30 - p*3\/3 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -7*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 732*-292\nAnswer: -213744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0474*0.3.\nAnswer: -0.01422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 35 + 8 - 56 - 2254*k)*(1 - 4 - 1) as q*k + d and give q.\nAnswer: 9016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-24))\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 6, t: 11}. What is prob of sequence rr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 225.\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 f when four letters picked without replacement from {d: 6, m: 3, f: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11597a (base 11) in base 5?\nAnswer: 21333043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p - 5. What is the tens digit of f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-60)*-3*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from ptptpppbptpppptbtpp.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 16*h + 125. Determine o(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 24*q - 28. Calculate l(21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l - 10. Suppose s + 35 = -4*s. Let b be v(s). Suppose b = -0*r + r. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2633.9 + -2633. Suppose -14 = -3*m - 38. Let g be ((-2)\/10)\/(m\/(-10)). Which is the nearest to 2\/3? (a) -0.4 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -8) + (-4 - -9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332307 is divided by 318.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 14, 0 = 2*i - j - 77. What is the smallest common multiple of 20 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*z + 30 = 0, -5*o - 2*z + 45 = -13. Let v = o + 0. Let k = 6 - v. Sort 2, 5, k.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, p: 13}. Give prob of picking 3 p and 1 s.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*v + 33. Suppose h - 20 = 3*j + 27, 255 = 5*h - v*j. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-665)\/(-28) + 2*10\/16. Solve 5*w = 5*i + c, w = -4*w - i + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**2 - 6*z + 1\/8*z**3 - 16 = 0 for z.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2 + 1536326*c - 590074394569 = 0.\nAnswer: 768163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68027223?\nAnswer: 3, 11, 2061431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 566256 times 0.4\nAnswer: 226502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:51 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4973 + 22209. Calculate the highest common divisor of 62 and v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 100. Solve d - 4*v - 18 = -2*d, -q = 2*d + 5*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1))**(-35)\/((x**3*x*x)\/x**(-1)))**(-20))**(-3) assuming x is positive.\nAnswer: x**1740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44456\/1*(5\/2 - 2). Suppose -d = 3*d - 5*j - v, -5557 = -d - 2*j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - c. Let a be l(-7). Suppose 224*g + 118 = 366 + 200. Sort -5, g, a, 1.\nAnswer: -5, 1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16278041 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*y + y. Let d be 1813\/21 + 1\/(-3). Let r = d + -36. What is the highest common divisor of r and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 3*d - 15. Let p be f(6). Let z(y) = 6*y**2 - 3*y - 6. What is the remainder when z(p) is divided by ((-10)\/(10\/3))\/((-1)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.08 to 0 decimal places.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-70)*5*28\/30\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Suppose 0*l = -2*l - 3*h - 17, 0 = -3*l + 4*h. Let x = l + 4. Let z be (-7 - x) + (4 - 2). Determine k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a178 (base 11) to base 8.\nAnswer: -2313326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11499? (a) 8 (b) -6\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1548.5 and -9.\nAnswer: 13936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -117283\/3*b**3 - 5*b + 4*b**2 - 2. Let t be p(-9). Round t to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:05 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 1\/80*i**6 - 1\/8*i**5 + 0*i**3 + 3\/8*i**4 + 0 + 0*i + 12*i**2. Factor u(l).\nAnswer: 3*l*(l - 3)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, k: 1, d: 1, j: 2, a: 5}. What is prob of sequence jj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**2 - 13*s**2 + 31*s**2 + (0 + 0 - 3*s)*(4*s - 3*s + 0*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeyyyyeeyy. What is prob of sequence yyey?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40726621 is divided by 346?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6330, 25325, 56984, 101307?\n\"Answer: 6332*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/30 - 71*i**4 - 3321*i**2\/2 + 105*i. Differentiate p(q) wrt q.\nAnswer: 4*q**3 - 1704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8810 - -8826. Solve -k = -g*p + 15*p, -5*p - 2 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7) + (-7 + 1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51.44118mm?\nAnswer: 51441.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26794, -26807, -26826, -26851?\nAnswer: -26882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 16. Let y(p) = p**2 - 20*p + 89. Let t be y(6). Solve u*a + 14 = a + 4*r, -t*a - 16 = -3*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xozz when four letters picked without replacement from ovozxxxzxxxwwzy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33047069\/276 - -119736. Find the common denominator of t and -65\/2.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(88*l + 14 + 4 - 18) in the form x*l + r and give x.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 - 217599*c + 2175890 = 0.\nAnswer: 10, 217589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -10\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1944*p - 1928*p + 208 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-242)\/(-6) - (-1)\/((-3)\/1). Let l be (-5 + 185\/k)\/(30\/(-4)). Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210710 to the nearest one thousand.\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 113 - 13. Let a = c + -39. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91099008 and 1078?\nAnswer: 637693056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -4 + 2 - (-50)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/(-14))\/(39\/364*-3))\/((-2)\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -2607006?\nAnswer: 2607006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 b when three letters picked without replacement from {x: 4, n: 1, b: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 55.5. Which is the second smallest value? (a) 0 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 52 - 4)*(6*f + 4*f - 3*f).\nAnswer: -336*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-40)*(-12)\/12*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 127*q - 373*q + 123*q + 4*q**3 + 122*q. Calculate y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 14. Let h be y(-2). Sort 2.7, h, 1, 0 in increasing order.\nAnswer: 0, 1, 2.7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 16 = -23*x, -g + x - 2 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 - -282. Solve -4*j = -3*s - t, 4*s = -5*j - 0*j + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h**3*r*x**3 - 2*h**3*x**2 + 415*h**2*r*x**3 + 3175472*h**2*x**2 + 2*h*r*x**2 wrt x.\nAnswer: 90*h**3*r + 2490*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -8aa?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12) - (sqrt(12) - (sqrt(12) + sqrt(48))*-2)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*s = -34, 691*s + 3*s + 335 = -3*y + 100 - 435 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2558884746, -2558884745, -2558884744, -2558884743, -2558884742?\nAnswer: -2558884741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 8. Suppose 3*d + 3 = 3*f - 6, 5*d = 2*f + 3. Let y be w(f). Suppose -2*s + y + 4 = 0. Is s at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 115.1581?\nAnswer: 115.3581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 10 + 31\/3*r**3 + 15*r**2 + 0*r. What is the second derivative of n(d) wrt d?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x - 3*x + x)*(0 + 0 + 3)*(2 - 3*x - x + x) to q*x + i + o*x**2 and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 5*m - 66 = 46, -22*m = 3*w - 19*m + 45 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 84 + -89 + 9 + 31.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4) + 1*4. Suppose -2*f = -c*z, 3*f + 5*z - 5 = 3. Suppose -2*p + 8 = 2*p. Is p not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 37. Suppose 5*p + 4*t = -3 + x, 2*p - t - 11 = 0. Let r(l) = 2*l**2 - p*l**2 + 7*l**2. Let g(v) = v**2. Calculate r(g(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 24*q**4 - 10*q + q - 4 + 2*q. Let v(i) = -23*i**4 - 12*i - 5. Let b(s) = 5*k(s) - 4*v(s). Find the second derivative of b(x) wrt x.\nAnswer: -336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 a when three letters picked without replacement from whxia?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 + 283380*g - 566776 = 0. Calculate g.\nAnswer: -70847, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46227 - -52744994\/1141. Calculate the common denominator of -29\/7 and w.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 - 193*w**2 - 2*w - 575 wrt w.\nAnswer: -12*w - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:54 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 1 - (-12 - (-29 - (-28 - -27))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**3 + 3*t**2\/2 + 2*t - 3. Suppose 0 = -533*b + 537*b - 156. What is the remainder when b is divided by d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -15 (b) 1\/4 (c) -1.7 (d) 0.1 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25334 = -54*u + 55*u - 479*u for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*b - 48, -75 = 7*b - 3*b + 5*k. Let z = 0 + b. Let f = -6 - z. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3780358 <= -3780356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3896055.8734424 + 0.1265576. Let m = 3896057.0000235 - x. Let g = m + -1. What is g rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rarrraarrrarrarrrrr.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7 - -3) + 6 + -3 + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*q - 3472 = 0, 6*q = -x + q + 676. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 14*a**2 + 14*a + 18. Let j be n(15). Suppose -3*h = -3*f + h + 32, -4*f + j*h = -52. What is the greatest common divisor of 64 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 15*c - 7. Let q be m(7). Let t = q + -45. Suppose -3*x = t*x - x. Solve x*z - 8 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -5.6. Which is the second smallest value? (a) t (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*u - 903 + 903)*(5*u**3 - 3*u**3 - 4*u**3) + 17*u**2 + 4*u**2 + u**2 - u**4.\nAnswer: 273*u**4 + 22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 17*u + 8 as y + d*u and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6)**(2\/7)\/(n\/(n**4*n))**39 assuming n is positive.\nAnswer: n**(1104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 2. Let g(s) = 4*s + 1. Let q(x) = -2*g(x) + 3*o(x). Let p(u) = -1. Suppose -2 + 6 = 2*n. Suppose n*v = -2*v + 4. Give v*q(t) + 6*p(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-32)\/20)\/8)\/((-1)\/(-15)). Let u(m) = m**2 + 2*m + 3. Let h(p) = -3*p**2 - 5*p - 8. Calculate f*h(b) - 8*u(b).\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 896, 753, 614, 479, 348, 221, 98?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/7 - 1373*g**3\/7 - 591*g**2 + 12389*g\/7 - 6880\/7 = 0.\nAnswer: -5, 1, 1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + 4. Let s = 0.105 - -4.995. Let f = s + -0.1. What is the closest to 1 in i, f, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 4*g**2 - 5*g - 9. Suppose 2*o - 10 = -4*h + 8, -2*o - 2*h + 14 = 0. Let t(m) = -m**3 + 2*m**2 - 2*m - 4. What is o*t(j) - 2*r(j)?\nAnswer: -j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.7999445 + 8.8. What is v rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1673*z**2 + 3343*z**2 + 96*z**3 - 1668*z**2.\nAnswer: 96*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 2628.8.\nAnswer: 2628.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 4. Let n = m + -19. Let r be ((-12)\/n)\/(57\/190). Solve r*z - 2 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34798*n - 2 - 7067*n + 2.\nAnswer: 27731*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -91*z**4 + 180*z + 3. Let g(i) = -180*i**4 + 359*i + 7. Let m(c) = 7*b(c) - 3*g(c). Find the second derivative of m(t) wrt t.\nAnswer: -1164*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1885400 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*5650\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -22*p - 6, 3*p = 4*b - 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - 59*r + 11*r**2 - 13*r**2 + 59*r to o*r**2 + v + z*r and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 5*x - 5. Let k(v) = 2 + 2 - 1 + 4 - 8. Let m(j) = 3*k(j) - q(j). Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15310.\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.4401935?\nAnswer: -0.6401935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212322 divided by 2?\nAnswer: -106161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5273.91 + -46.09. Let h = m + 5267.81. What is h rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r + 36 = 27*r. Let i be ((-3)\/(-212))\/(3\/r). Is i smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 39*m - 14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -8. Let y = u + 1.00005. Round y to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 times -0.0408?\nAnswer: 0.23256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -993*o**4 + 4*o**3 - 1219*o**2 - 2*o + 1 wrt o.\nAnswer: -23832*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h = 234*h + 1467. Suppose -15 = 3*d - v + 7, 3*v = -15. Is d <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 6)*(3*n + 15 - 15)*(-n + 3 - 3)*(2 + 2 - 2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 3*y + 3. Let u(r) be the third derivative of -17*r**2 + 0*r - 2\/15*r**5 + 13\/24*r**4 + 13\/6*r**3 + 0. Calculate -26*l(m) + 6*u(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*m + 3153 - 3268 = 0, -4*q = 5*m - 97 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - w + 4)*(0 - 15 - 5) + 3*w - 3 - 2 - 4*w to the form r + c*w and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*6 + sqrt(18)\/sqrt(6)*2)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58599.103 rounded to the nearest 1000?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 12*q**2 + 11*q - 16. Let f be u(-13). Sort -2, f, 0 in decreasing order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/43131 and -181\/78420?\nAnswer: 862620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x - 4. Let q(d) = -d + 1. Let s(g) = 4*q(g) + z(g). What is the second derivative of s(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22470)\/3531 + 7\/(-11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/23)\/h*h)\/h)\/(h*h\/(h*h**(-34)*h*h)*h*h)*(h**29\/h)**(2\/21) assuming h is positive.\nAnswer: h**(-2282\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12571*f**3 + 25144*f**3 - f - 2*f**4 - 12573*f**3 + 185*f**2 in the form t*f**3 + u*f**2 + x*f**4 + j + m*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/5 and -53\/1293294.\nAnswer: 6466470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -0.05.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14706 (base 12) to base 9.\nAnswer: 43276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 57*x**3 - 6 - 12*x**3.\nAnswer: -69*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 80419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eifsskk. Give prob of sequence ei.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 17536341.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*d**4 + 2*d**3 + 3*d**2 + 20 wrt d.\nAnswer: -2112*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 59105 = 31*x - 28*x, -2*z + 23683 = -7*x. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2 + 73*d + 4*d**3 + 8*d - 2*d**2 + 108*d + 3*d**2 + 2725 wrt d?\nAnswer: 12*d**2 + 4*d + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(6 + 6 - 50)*(3 + 1 - 2 + (7 - 2 + 4)*(2 + 0 + 0)).\nAnswer: 760*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*l - 138 = 0, -n - 4*l - 134 = 4*n. Let w be n\/(-8) - (-4)\/16. What is the derivative of -2 - 2 + 0 + 0*x**w + x**4 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 15. Let h(y) = 11*y - 44. Let j(g) = -9*b(g) + 4*h(g). Give j(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15661*h**3 + 3*h - 3. Let s(q) = -14*q**3 + q - 1. What is 3*s(i) - u(i)?\nAnswer: 15619*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/177299135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 4*r + 4*n + 285, 3*n - 9 = 0. Let i be ((-24)\/(-10))\/(1 - r\/(-100)). Let l = -39 + i. Which is bigger: l or -2\/23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let c(q) = 17*q**2 - 17*q + 30. What is c(w(y))?\nAnswer: 17*y**4 - 17*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 3*t**2 - t**2 - 872*t**3 + 2671*t**3.\nAnswer: 1799*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {e: 3, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r**2 - 2. Let l(c) = 1033*c**2. Determine i(l(f)).\nAnswer: 21341780*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x = 33*x + 342 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 16. Let u = -21 + 13. Let i be b\/u*-1 + 1. Is 4 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 4*h - 34. Calculate l(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 13) in base 5?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**2 - 28 + 5*u + 0*u**3 - 25\/4*u**4. What is the first derivative of l(a) wrt a?\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 + 6*b - 8. Let r be j(2). Is 1676\/6*((-44)\/(-8) - r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*r - 6, -4*i + 2 = 4*r - 22. Differentiate -2*j**4 - 1 + 0*j**4 + r + 5*j**4 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose 0 = -2*z + 5*y - 1, o*y = -3*z + 5*y + 3. List the prime factors of 0*z\/(-6) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2813494 divided by 1406747.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 68*n + 763. Let z be r(54). Solve 0 = z*a - 10 - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*o - 40, -10 = 3*a + 5*o - 34. Suppose -4*r + 24 = 4*u, 0*u + 2*u = -a. Let l(i) = 281 - 281 - 8*i. Let z(h) = h. What is r*z(g) + l(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 2.2. Let q = l + 6.6. Let o = q - 3. Which is the nearest to 1? (a) o (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 - 8*q - 1. Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(500)*1 + (-4 + -3*sqrt(20)\/sqrt(4) + sqrt(5))*1)**2.\nAnswer: 2416*sqrt(5) + 456036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(15\/(-3)))\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, l: 2, v: 3, q: 5}. What is prob of picking 1 z and 1 l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -62. Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 637*h - 6623. Is d(19) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17731581 or -17731579?\nAnswer: -17731581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c**2. Let n(g) be the second derivative of g**6\/120 - 25*g**3\/6 + 15*g. Let j(l) be the second derivative of n(l). Determine j(p(h)).\nAnswer: 1323*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 2*p - 1. Let z be h(1). Suppose -66 = -9*u - 13*u. Suppose -2*c = -u*w - 21, -9*w = -3*c - 6*w + 27. Solve -c = 3*b + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8425*n**5 - 200*n**2 + 228*n wrt n.\nAnswer: -505500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14500 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(20 - (11 + -10) - 21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - -11. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 3*f + 5, -2*p - 10 = -2*f. Let m = 3 - -1. What is the smallest common multiple of (-31 + 3)*1\/p and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 13 = 4*c, 0 = -3*s + 6*s - c + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 25289*b + 14409*b**2 - 4059*b**2 - 26863*b - 386*b**3 + 50*b**3 + 42135.\nAnswer: 3*(b - 53)**2*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.4 times -10\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13780554?\nAnswer: 2, 3, 31, 43, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1865, -1852, -1839, -1826, -1813?\nAnswer: -1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 554584749 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127566171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 190 + 148 = 0. What is the greatest common factor of 609 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10720 and 180.\nAnswer: 96480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/628 and -43\/3283812?\nAnswer: 3283812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -8. Let v = y - -5. Suppose 0 = 2*m - 3 + 1. Which is the nearest to 2? (a) 2\/23 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 11:59 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1821763 at least as big as -1821767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2083 - 2085. Let u(y) = -y**2 - 2*y - 1. Let h be u(-2). Which is the third smallest value? (a) h (b) g (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(1\/3). What are the prime factors of (60\/(-35))\/(y\/(-217))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**3 + 26*d**3 + 25*d**3 - 106*d**3 + 20*d**3 + 17*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679 a factor of 2097419214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i**5*i)\/(i**(1\/4))**(-33) assuming i is positive.\nAnswer: i**(179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 51 - 19*b + 60*b + 13 - b**2 - 13*b - 12*b. Let g be v(-6). Is g less than or equal to -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 375\/12 + (-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 885?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = -23. Let d be ((-6)\/g)\/((-18)\/(-63)). Solve d + 8 = -2*x + u, -4*u = -3*x - 29 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3224, 3251, 3278, 3305, 3332?\n\"Answer: 27*l + 3197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66360*r**4 - 1339*r**2 - 3*r + 180613315 wrt r?\nAnswer: -796320*r**2 - 2678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 44*o. Let q(i) = -43*i - 1. Let c(b) = 2*n(b) + 3*q(b). Let k be c(1). Let h = k - -47. Solve -5*v + 15 = 5*g, 0 = h*g - 0*g + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/5 (b) 1\/2 (c) -35 (d) -2\/13 (e) 1 (f) 19 (g) -5823\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2. Suppose 2*k - k + 17 = -5*u, -4*u = 5*k + 1. Let z(b) = 11*b - 27*b + k*b + 6*b. Determine z(p(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-450)\/21))\/(287\/123)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - -2*3\/6. Let t be x*-89988*1\/5. Suppose 2*h - 3*a - 60008 = -5*a, -t = -3*h + 3*a. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/258138792 and -65\/9168?\nAnswer: 516277584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 493913.2 decades?\nAnswer: 4939132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047103 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: Evaluate (80\/(-6))\/(13940\/25092).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33031 (base 4) in base 5?\nAnswer: -12343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 0.4 (c) -5 (d) 53 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 664031, 2654930, 5973095, 10618526, 16591223, 23891186?\n\"Answer: 663633*i**2 + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 164689?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10844417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:26 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77717 divided by 5\nAnswer: 77717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2610 and 9380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 1041*r + 39317. Determine l(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303472 (base 8) to base 5.\nAnswer: 11201104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w)*(55*w**2 - 8*w**2 - 204*w**2)*(14 - 17 + 17).\nAnswer: -4396*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/6542 or 0?\nAnswer: 5\/6542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7468 - 3.2532. What is the nearest to -0.2 in -0.306, g, 0.3?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + -7 - (20 + -23))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7888321086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2754)\/51*((-2)\/(-3) + -1). Factor -3 - l*j**2 + 48*j - 3*j**4 + 12*j**3 - 12*j - 12*j - 12*j.\nAnswer: -3*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 15, n: 3}. Give prob of sequence xnx.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3898 or -2132216\/547?\nAnswer: -2132216\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i**2*v**2 + 11*a**2*v + 24*a*i*v**2 - a*v**2 + 94*i**2*v**2 - 2*i**2*v - i + 6 wrt i?\nAnswer: -4*a**2*v**2 + 188*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -5 - (76 - 55).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30784673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3229271, 3229190, 3229099, 3228992, 3228863?\nAnswer: 3228706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = 4*f - 19*i + 21, f + 14 = 2*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 3452 and 3459 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3524201 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1117 + 1146.85. Let b = c - 334.95. Round b to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10 and (-1 + (-101)\/(-70))*63\/(-90).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhp when four letters picked without replacement from prphhhhrpprpp?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 31 + 66 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*b*t + 4*a*t**2 + 69*a + 13*b*t**2 - 3*t wrt t?\nAnswer: 8*a + 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548*l**3 + 171*l**2 + l - 340632 wrt l.\nAnswer: 3288*l + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2561493 - -6.3.\nAnswer: 6.5561493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -3 (c) 9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 12*f**2 + 20*f + 20. Determine c(-13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q - 2*m = -5, -3*m = -4*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:36 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10*d - 14*d + 0)*(-18*d**3 + 5*d**3 - 8*d**3)*(-5 + 4 + 3).\nAnswer: 168*d**4 - 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257597711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(605\/(-11)))\/(6\/456).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(45\/(-50)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-28) + 96\/7. Let n(u) = 4*u - 46. Let q be n(s). Let i(o) = -o**3 + 13*o**2 + 21*o + 11. Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68431.56l to millilitres.\nAnswer: 68431560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m**5\/5 - 426*m**4\/5 - 1598*m**3\/5 - 1384*m**2\/5 - 24*m\/5 + 32 = 0. Calculate m.\nAnswer: -10, -4, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {p: 2, g: 3, w: 3, v: 1, e: 1, c: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -4*f + 2*l, 7 = 4*f + l. Let z(i) = i - 3. Let b be z(6). Let a(s) = -s + 5. Let k be a(b). Is f greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -67. Let x = -0.01 - -5.01. Let f = -29 - -27. Which is the nearest to f? (a) -0.2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b*o**5 + 867*b*o**4 - 3*b*o + b + 6*o + 4 wrt o.\nAnswer: 240*b*o**3 + 10404*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n. Let d be v(-5). Suppose -6 = -6*h + d*h. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52510.\nAnswer: 2, 5, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, r: 4, z: 3}. Give prob of sequence hrrz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235736025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70942243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 268, 4, 5, -2 in descending order.\nAnswer: 268, 5, 4, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -417*f - 2637. Let x(u) = -5*u. Give x(k(o)).\nAnswer: 2085*o + 13185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 567494 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369 and 1640.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m*w**2*y + 4*m*w**2 + 2*m*w - 2*m*y - 82*m + 283*w**2*y - 36*w**2 - 2*w*y - 11*w - 2*y wrt w?\nAnswer: -8*m*y + 8*m + 566*y - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 + 47*h - 15. Let a(n) = -n**2 - 9*n + 3. Give 11*a(o) + 2*j(o).\nAnswer: o**2 - 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ceeptxtupcuccccxpcc?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416762702?\nAnswer: 2, 1597, 130483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 194. Give a(32).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -14.9. Let u = 6 + -5.8. Which is the fourth smallest value? (a) s (b) 1 (c) u (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406233.5 milligrams to kilograms.\nAnswer: 0.4062335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 1342*p**2 + 2236*p - 4053. What is k(-449)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -145 and 2168970?\nAnswer: 2169115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 4*j - 25*j**2 - 10*j + 25*j**2 to the form t*j**3 + p + q*j + c*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2457 + -15180?\nAnswer: -12723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911227870.\nAnswer: 2, 5, 7, 41, 79, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10069, 10084, 10137, 10228, 10357?\nAnswer: 10524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 2, l: 4}. Give prob of sequence kl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70107 is divided by 338.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1189, 2383, 3579, 4777, 5977?\n\"Answer: g**2 + 1191*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330319301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66470 is divided by 124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3264065 divided by 4?\nAnswer: 3264065\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -39*j - 8. Let a(k) = -7623*k. Calculate a(b(h)).\nAnswer: 297297*h + 60984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 4. Let g(p) = p**3 + 4*p**2 - 3*p + 3. Let h be g(-5). What is the units digit of n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*v - 1 + 1 + (-16 + 3*v + 16)*(0 + 0 - 1)*(2 + 0 - 5).\nAnswer: 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnnn when four letters picked without replacement from hnnnnhnnnnnnhhnh?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4332103 divided by -5?\nAnswer: -4332103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 856041 to the power of 1\/2, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00249165506 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b - 2*b**3)*(-b - 1 + 1) - 3*b**4 + 0*b**4 - 2*b**4.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -209*k**7\/210 - 53*k**4\/6 - k**3\/3 - 908*k**2. Find the second derivative of f(p) wrt p.\nAnswer: -2508*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5502169 and 9189.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:58 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 4\/5, -22.5, -56?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1 - 3*q + 22*q**2 + 3*q. Let v(l) = -l**3 + 33*l**2 - 30*l - 62. Let z be v(32). Suppose 0 = -z*m - 4, 2*c = -2*c + 4*m + 4. Determine g(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 14*y**2 + y - 11. Let h be s(14). Suppose 3*f + 6*m = 5*m + 3, -4*f = h*m + 1. Factor -4\/7*n**5 + 0 - 4\/7*n**4 + 8\/7*n**3 + 0*n**f + 0*n.\nAnswer: -4*n**3*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4\/15*l**3 + 2\/3*l + 0 + 6\/5*l**2 = 0.\nAnswer: -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3754228328828.\nAnswer: -3754228328830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/(r*r\/(r*r\/(r\/r**0)))*(r\/r**(-1))**(-25\/3) assuming r is positive.\nAnswer: r**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 5*o**2 + 3*o**2 + 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/120528 and 127\/1071360.\nAnswer: 9642240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (114\/(-12) - -6)*30782\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 2833*i - 72277. What is p(26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*k - 29, -5*r + 146 = k + 25. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*z + 14 = 4*d, 300*z = -3*d + 153*z + 149*z + 22 - 1 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287725945 to the power of 1\/3, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547358?\nAnswer: 2, 7, 39097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14*1*(-468)\/5040*10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -212*i**2 + 4876*i - 6. Calculate a(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 3 = -35*t, -15 - 32 = 2*j + t for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(1\/2)\/w))\/w*w)\/w*w*w*w**0)**(-22) assuming w is positive.\nAnswer: w**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 734 = -796 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1693, 0.3, 0.443?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -11, -24, -41?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -117, -118, -113, -96, -61?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317571374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 218870 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 12*t**3 - 51267*t**2 - 141084*t + 38475 = 0.\nAnswer: -3, 1\/4, 4275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -8, -4, 2, 10, 20?\n\"Answer: j**2 - j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-6)\/90 + (-31)\/5. Let j(n) = 3*n + 14. Calculate j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1952 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {s: 2, f: 1, o: 1, q: 1, k: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 6. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11647547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 520 (c) 0.2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -393, -564, -735, -906?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10135)\/(-45) - (-4)\/(-18) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*(c**4\/c*c*c)\/c*c**(-1\/3)*(c*c**(1\/3))**(-2) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*g**3 + 365*g**3 + 20*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -2*d**7\/21 - 7*d**6\/30 + 8*d**5\/15 + 2*d**4\/3 - 21*d**2. Suppose m(c) = 0. Calculate c.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249749\/42 - 5947. Let j = 1\/42 + p. Which is the nearest to 1\/3? (a) -1\/4 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -46*d + 12. Let p(x) = -31*x + 8. Determine -5*n(b) + 8*p(b).\nAnswer: -18*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkklkjkjlkkl. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-12) - (-15)\/4. Let f = d + -3. Which is the third biggest value? (a) f (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -9. Let a(z) = 11*z - 13. Let n be a(3). What is the greatest common divisor of n and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18541478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 4) to base 11.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6075 is divided by 87?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) - 2*sqrt(2499)*-4)\/(sqrt(60)\/sqrt(5)*4).\nAnswer: 63*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1901138754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 104. What is s(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28909, -115543, -259909, -462007, -721837, -1039399, -1414693?\nAnswer: -1847719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -60359 equal to -543220\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.2065375*-0.4\nAnswer: 0.882615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -9, 116, 6, -4 in descending order.\nAnswer: 116, 6, 3, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -19, 2, 43, 110, 209, 346, 527?\n\"Answer: h**3 + h**2 - 3*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/127671 or -1?\nAnswer: -2\/127671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 2. Let f(u) = -3 + 2*u + 2*u - 5 + 5. Determine 4*f(o) + 5*h(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from wqqqwqwwqw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-14) - 33\/(-112)*-4. Sort 3\/5, 2, c, 1, -1.\nAnswer: -1, c, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17974 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y**2. Let b be 4 - -1 - (-3 - -1). Let r(l) = -3*l + 14*l - b*l - 5*l. Determine d(r(s)).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192.6 - -195.6. Let q = -16 + 15.9. Which is the nearest to q? (a) 2 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l - 1055. Let u = -71 - l. Does 14 divide (3\/(-2))\/((-5)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q + 1. Let g be (-3)\/24*2 + 6\/(-8). Let f(r) = -5*r + 5. Let u(d) = 3*d**2 - 6*d - 4. Let k be u(-1). Give g*f(j) + k*t(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(44\/(-24))*280\/1890?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -4)*(1 + 61). Let t = -34 - u. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afza when four letters picked without replacement from afzfaftaaaasszs.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000496978 rounded to 6 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -867*w + 41. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30068\/(1 + 3)*1.\nAnswer: 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*p + 4. Let v = -0.151 + 0.021. Let d = v + 0.23. Which is the closest to 0.3? (a) 0.2 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + r**2 - 4*r**2 + 6*r**2 - r**2 + 2*r**4 + 2*r to l*r**2 + g + y*r**3 + i*r**4 + t*r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((-1*sqrt(1500) + sqrt(1500))\/(3*2*sqrt(3)) + -3))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(88)*-5)\/(2*sqrt(162)) + -4)**2.\nAnswer: 20*sqrt(11)\/9 + 599\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90440 = -6*n + 551804. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702 a factor of 1204924394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2337 and 24.\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**2 + 9*q**2 + (2*q - 2*q + q)*(3*q - q - 3*q) + 5*q**2 + 0*q**2 - 3*q**2 to the form w*q + z*q**2 + o and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*k + 2. Suppose -k*t - 2*t = -25. Suppose -t = -5*s, 0 = -y + 4*s - 2*s - 2. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-44))\/(775\/17050)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*((sqrt(2112) - 2*sqrt(2112)) + sqrt(2112)))\/((sqrt(96)*-2)\/(-2*sqrt(128))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271\/46 - 101\/23. Let r be 9\/(-4)*5\/15. Sort r, t, -1\/14 in ascending order.\nAnswer: r, -1\/14, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) - (-1)\/(-4). Suppose 61692*k - 61678*k + 89 = 19. Sort 2, k, v in increasing order.\nAnswer: k, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1. Let z = 0 + q. What is z rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 63.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*n = -20. Let o be (-18)\/(-171) - (-74)\/19. Find the first derivative of -n*g + 10*g - 9 - 9*g**o wrt g.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -1\/3 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r + 4. Let c be s(6). Is -3 + -1 - 160210\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7196670 and 553590?\nAnswer: 7196670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 30, 24, 18, 12?\n\"Answer: -6*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.141 - -0.092. Let i = 0.451 - n. What is the third biggest value in i, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*s - 191*s = -1260 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*b + 21 - 6, -a + 1 = 0. Put 0, 2, b in decreasing order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -2. Let r = 12 + -7. Let o = r + -4.6. Which is the closest to -1? (a) -4 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7))\/(i**(-2\/9)*i))**(-3\/23)\/((i\/(i*(i\/i**3)\/i*i))**(3\/34))**42 assuming i is positive.\nAnswer: i**(-7657\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. What is the third derivative of j**5 + y*j**4 + 83*j**2 + 0*j**4 - 84*j**2 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/18*((-60)\/8)\/5.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 - 5\/(15\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7636, 7748, 7934, 8194?\n\"Answer: 37*v**2 + v + 7598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4188*c**2 - 83763*c - 55. Give f(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/12 - 5*i**3\/2 - 4*i**2 + 573*i. Determine u(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/16 and 47*(4 + 27\/(-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-528)\/38 + (76 - 62). What is the second smallest value in i, -46, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(320) - (-3 + sqrt(320)*2)) + (5*(sqrt(320) + -1) - sqrt(320)) + ((1 + 1 + sqrt(320) - sqrt(320)) + 4)*1 + -3)**2.\nAnswer: 48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*c**3*q**3 + 2*c**3 - 9*c wrt q.\nAnswer: 141*c**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, z: 2, o: 6, g: 4}. What is prob of picking 1 z and 1 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, -3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2697654 and 2502.\nAnswer: 1124921718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14483361 divided by -8.\nAnswer: 14483361\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of (-1084)\/2168 + (-327)\/(-9)*2526\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35211023 (base 6) to base 14.\nAnswer: -205411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*14\/4*17\/((-2465)\/754).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1110 - -616. Let u = 493.9711 + i. Let t = -0.031 - u. Round t to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 217575428.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 151641?\nAnswer: 151633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 938*s**3 - 289*s**2 wrt s.\nAnswer: 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*g + 1 + (-4 + 2 + 0)*(2*g - g - 3*g))*(4*g - 2*g - g)*(20*g + 7*g - g) as a + y*g + t*g**3 + m*g**2 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11. Suppose r = 5*s + u - 2*u - 22, -4*u + 12 = 5*s. Let y(d) = -2*d + 1. What is y(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12016, 24026, 36036, 48046?\nAnswer: 60056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*r - 2273*r + 114084 = -117*r + 470*r for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 47. Let p(u) be the second derivative of 35*u**3\/6 - u**2 + 7*u. What is the tens digit of p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/9 <= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118959 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 226981.\nAnswer: -226980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*s + 2*k, 64 = 3*s + 3*k + k. Let p = s + -8. Let u be 2 - (-4)\/p*2. Solve -u*y + 3 = -3*x, 11 = -3*x - 2*x + 3*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 628\/9 - (-688)\/3096. Suppose j - 1 = 2. Let u(y) = 3*y - y**j - 2*y + s*y**2 - 31*y**2 - 36*y**2. Determine u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 62*f**2 + 2904*f - 251546. Determine w(71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/481, -129.9, -5?\nAnswer: -3\/481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggggygggbgggbgbg. What is prob of sequence gbbg?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:43 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 35.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t - 27 = 0. Let p = t - -55. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 223 (c) 10.4 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(2 + 2\/4). Suppose 4 = s*b + 3*r, 0 = b - 6*b + r + 12. Let k be 2 + (3\/6)\/(b\/(-4)). Are 24\/11 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - n**2\/2 + 270. Let y be (2\/(-18) + (-1183)\/(-117))\/(-2). What is v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 257?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/126 and 1\/164272626?\nAnswer: 164272626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 - -109. Let v(y) = 3*y**3 + 4*y**2 - 3*y + 4. Let n(l) = l**3 + l**2 - l + 1. Let h(b) = 4*n(b) - v(b). Calculate h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384, 363, 328, 279, 216, 139, 48?\n\"Answer: -7*d**2 + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21)*p\/p**(2\/5)*(p**(6\/5)*p)**(11\/6))**45 assuming p is positive.\nAnswer: p**(-1473\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/((-3)\/15). Find the common denominator of 54\/(-66) + 1\/w and 11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873956 is divided by 1267?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/701 and -71\/8.\nAnswer: 5608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 48*f + 21. Let h(k) = k + 9. Let q be h(-15). Let o be l(q). Let w = 416 + o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 2\/5, -414, 2, -103, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*l = 0, 0 = f - 5*f + 5*l + 37. Suppose -4*u + 1 = -f. Solve u = d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*z + z = -35, 5*o + 33 = 3*z. Let j be (-204)\/(-72) + (-1)\/o. Suppose 0 = -j*u + 192 + 2781. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let m = 5628.9 - 5629. Suppose 56 = 3*k - 4*r, -6*r + 10*r + 68 = 4*k. What is the second biggest value in k, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 152 + 152 - 5*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 30*f + 186. Calculate the remainder when x(34) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/102 and -139\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - -2000212003?\nAnswer: 2000212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {a: 4, m: 7, v: 2, q: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - l + 1)*(4*l - l + 0*l)*(-l - 3*l + 2*l)*(l - 7*l - 2*l) as y + v*l**2 + t*l**4 + w*l + c*l**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -705 + 689. What is the fourth smallest value in -1, 0.1, f, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2235*q**3 - q**2 - 2*q + 8. Let z(f) = 11172*f**3 - 6*f**2 - 11*f + 43. What is -11*h(l) + 2*z(l)?\nAnswer: -2241*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 990339*o - 990342.\nAnswer: 3*(o - 330114)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2. Let z(y) = 15*y + 8. Let w(p) = 4*p. Let b(x) = 6*w(x) + z(x). Let g(l) = 5029*l + 1034. Let n(v) = -517*b(v) + 4*g(v). What is r(n(d))?\nAnswer: 11045*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.069 or 1440531?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, u: 5, s: 3, q: 3, l: 3, o: 3}. What is prob of picking 2 l, 1 u, and 1 s?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 + 16*a + 14853. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*p - 3*n, p - 2*p - n + 6 = 0. Suppose p*v = 39 - 9. Solve -d - 2*d - v = 4*b, -2 = 2*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4069529.\nAnswer: 4069529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -361141 and -0.5.\nAnswer: 180570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(-19)\/(a**6*a*a*a*a*a**3) assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15298297.13 rounded to the nearest 1000?\nAnswer: 15298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 305681464 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 - 4*n**3\/3 + n**2 + 2*n. Let g be b(8). Determine u, given that 0*u - 4\/7*u**g + 0 - 2*u**3 - 10\/7*u**4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**(14\/13)*b**(3\/11)*b*b**(-1))**31 assuming b is positive.\nAnswer: b**(-17887\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047.556 - 146?\nAnswer: -1193.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 162688, 0.2 in increasing order.\nAnswer: -5, -0.2, 0.2, 162688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t**2 + 2\/7*t + 0 - 2\/7*t**3 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 52 = -20*a. Suppose 3*n + 122 = 3*q - 82, 0 = q - a*n - 66. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/176 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/5? (a) 0.11 (b) -16 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -36. What is the greatest common factor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 286?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257\/(-1)*1717\/(-303) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 - 2 - (-7 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11 = -n - 4*b, 0 = -5*n - 2*b + 9. Let k = 5 - 8. Let u be (1\/3)\/(2\/k). What is the closest to 0 in n, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from fffgegnguef.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8877.\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + r + 59, 3*d - 4*r = 74. Calculate the least common multiple of 3 + -3 - 1 - -2 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844976.\nAnswer: 2, 177811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (1 - 6 - (-8 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 2:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 1\/12*i**4 + 0*i + 0*i**3 + 0 - 3*i**2. Let y(u) = 2*u**2. What is c(y(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/5))**(1\/21))**(2\/45)\/((v\/v**1)**(-33)\/(v*(v\/v**(-6))\/v*v*v*v\/(v\/(v**(-5)*v*v)))) assuming v is positive.\nAnswer: v**(28352\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + i**3 + 3*i**2 + 10 - 21 in the form c*i**2 + m*i**3 + v*i + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 + 68 = 48*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 41772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 + 1\/(-14). Suppose -2*u + 5*q = 2*u - 20, 2*q = 0. Let g = 137.9 - 138. Which is the nearest to g? (a) u (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*y + 3, 0 = -4*y - y - 3*z + 7. Solve 2\/7*a - 2\/7 + 4\/7*a**y = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, 12154 in decreasing order.\nAnswer: 12154, 25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46592 - 3033 = -1689*x + 903*x - 9539 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**4 + 5*y**4 - 3*y**4)*(11 - 4 + 0) + 8*y**4 - 6*y**4 - 168*y**4 to i + t*y**2 + s*y**3 + p*y + j*y**4 and give j.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-70) + -18*(-19)\/(-570)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/12))**9*b\/b**(-2\/29)*b*b\/(b*b**(-24)*b) assuming b is positive.\nAnswer: b**(2821\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*k + 178 + 16*k**3 - 93 - 14*k**3 - 85.\nAnswer: 2*k**3 - 67*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3020 and 1600?\nAnswer: 241600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -49*j + 10. Let d be f(2). Let c = 88 + d. Determine q so that 12\/5*q**2 + 9\/5*q**3 + c + 3\/5*q = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 27 = -b - 31, 4*b - s + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 26. Let q be (11 + -5 - 21)\/((-2)\/38). Calculate the highest common factor of k and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.095 < 445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10788*g**4*r**2 - 2*g**3*r**3 - 949*g*r**2 + 7*r**3 - 5 wrt g.\nAnswer: 129456*g**2*r**2 - 12*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 559\nAnswer: 4\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*y + 12 - 132. Solve -6 = -y*i + 5*h, 5*i + h = 3*h + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 146988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122210012 + -12?\nAnswer: -122210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4238 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 15*x - 210. Solve 0 = 63*y - 59*y + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 35*s**2 - 36*s + 3. Let q(g) = 8*g**3 + 316*g**2 - 324*g + 28. Suppose 0 = -14*m - 3 + 45. Let f(d) = m*q(d) - 28*j(d). Factor f(k).\nAnswer: -4*k*(k - 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037255377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4)\/t)\/(t**(-5)\/t)*t**(4\/9)\/(t*t*t**0\/t) assuming t is positive.\nAnswer: t**(115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/21*75376\/(-1346)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*3\/(-6))\/(3\/(-6)). Suppose -2*p + n = -105, 210 = 5*p - l*n - 55. Suppose -50 = -0*q - q - 5*y, q + y = p. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2402821 is divided by 401?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -251, -511, -715, -839, -859, -751, -491?\n\"Answer: 4*x**3 + 4*x**2 - 300*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/10 + 0). Suppose 5 = -b + 6*b, -2*n + h = -b. Suppose -40 = -n*m + m. Calculate the remainder when 38 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/2 + 2*a**3\/3 - 7*a. What is the second derivative of z(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {x: 2, z: 3, k: 10, f: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a83 (base 15) to base 7.\nAnswer: -22521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.055 - -0.067. Let z = -2.412 + m. What is z rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1616\/3*s + 464\/3 - 28\/3*s**2.\nAnswer: -4*(s + 58)*(7*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 63 = 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1244*v**2 - 945*v - 6569. What is the units digit of n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*m - 8, -4*j - j = -2*m - 40. Let a = 40 - m. Let q = -24 + a. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2*f + 1. Let o = 97 + -94. Let d(y) = 48*y**2 - 4*y - 11. Let m(h) = o*x(h) - d(h). What is the second derivative of m(w) wrt w?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/4309, 16, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 1. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 2*v + 8, 8 = 2*v. Solve h*u + 4 = -2*f + 4*u, 3*f - 2*u + 10 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**9*k*k**(-3\/5)*k*k\/(k\/k**(-4\/13)))**(-16\/9) assuming k is positive.\nAnswer: k**(7184\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, m: 4}. Give prob of picking 2 x and 2 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae8 + -1c?\nAnswer: -b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v + 5. Let t be x(0). Let o(d) = 2*d**3 + 3*d - 2. Let l be o(2). Calculate the highest common factor of l and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-140)\/50)\/((-4)\/10). Suppose x - 16 = -l. What is the smallest common multiple of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b. Let w(z) = 61 + 3*z - 131 + 70. Calculate t(w(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 45*v - 139065 = 679621. What is the highest common divisor of 187 and v?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75357*v + 76536*v + 22 - 151891*v.\nAnswer: 2*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -2*m, 3*m - 8 = -0*u + 5*u. Calculate the greatest common factor of 9 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.027 weeks?\nAnswer: 1225929600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(44) - -2*sqrt(1584)) + 1)**2.\nAnswer: -52*sqrt(11) + 7437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 2*d - 8*d + 189309 - 189494.\nAnswer: -10*d - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36819 greater than 0.0671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*y**2 + 81*y**2 + 2*y**3)*(-37 - 69 + 25) in the form z + q*y**3 + u*y**2 + o*y and give q.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 + s**3\/6 + s**2\/2 - 4*s - 87. Let q(d) = d**2 - d - 1. What is -6*n(i) - 5*q(i)?\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028896919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1647 divided by -25\nAnswer: 1647\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -13a1?\nAnswer: 13a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(27\/(-243)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2 - 4 + 2*j + j**2 + 2. Let h(x) = -1. Calculate c(w) - 3*h(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f + f. Let j be (-1)\/21 - f\/(-3). Which is the closest to j? (a) -2\/5 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h)*(3955 + 687 + 410).\nAnswer: -10104*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1383 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*6\/(-72))\/((-5)\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.29 + -1.39. Which is the second smallest value? (a) k (b) 5 (c) 33 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from wdwumwcmccdudumc.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -25. Let a be v - ((-61)\/1 + 2). Let j = 89 - a. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16 + 2*z - 40*z**3 - 72 + 614*z**3 + z**3 wrt z?\nAnswer: 3450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8 = 3*k, -9*o - 6 = 9*k - 6*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n - 2*n)*((0 - 5 + 4)*(-3*n + 4*n - 3*n) + 0*n - 3*n + 4*n) + (2*n + 4*n - 4*n)*(-4*n + 3*n - n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d + 44*d + 108*d)*(4 - 2 + 1)*(21 - 21 + 29*d).\nAnswer: 15486*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 301331?\nAnswer: -301321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329977 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 1095, 1644, 2193?\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.5 + 7.6. Let g = -4 - r. Which is the nearest to -1.1? (a) 0.5 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 641208.\nAnswer: 8335704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/42)\/((-2)\/28). Let n(b) = b**3 + 4*b**2 - 2. Let h be n(-4). Let v be -3 - h - (j - 19). Solve -v = -5*f - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*z - 68*z - 780. Solve -z*s + 10 = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674774957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = f + 11, -2947*k = -4*f - 2951*k - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2453 and 34\/10927.\nAnswer: 120197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -0.013 (c) -28\/5 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 2b881b04?\nAnswer: 2b881b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2. Let a(p) = 229*p + 1. Determine a(c(n)).\nAnswer: -1374*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -31646 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-8 + (-2)\/3 + 1365\/252)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -u - 3*u. Let l = -7 - u. Suppose 4 - 20 = -l*s. Calculate the remainder when 15 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(4 + 21\/(-7)). Suppose -7*u + 12 = -l. Solve -4*w - u = -9*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165249825?\nAnswer: 3, 5, 13, 23, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1326688 - 5?\nAnswer: 1326683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.433254 - -19.43325448. Let u = 15 - f. What is u rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 193*a**2 - 17921*a + 55. Calculate t(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3788, -760, -30, 0 in increasing order.\nAnswer: -3788, -760, -30, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 105. Suppose 9*n = -d*n + 15. Which is the third smallest value? (a) n (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192004 is divided by 12799.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87134 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 7. Let a be l(6). Suppose 0 = -2*h + a - 9. Put 3\/2, 2\/9, h in descending order.\nAnswer: 3\/2, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6 + 2. Suppose -3*w - x = -2*w + 93, 0 = w + b*x + 94. Let f = w - -147. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.39 - -23.39. Which is the second biggest value? (a) -60 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eacbe. What is prob of sequence cba?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbb when four letters picked without replacement from zbzbbbbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 917251937 and 0.3.\nAnswer: 917251937.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1196*u + 20. Let z be c(-5). Suppose 5*p - 6971 = -3*k + 8029, 5*k + z = 2*p. Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 14. Let t = y + 17. Suppose d = -t*d + 75. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6617 and 129130246?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009834 rounded to four decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5858 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2459 and 2?\nAnswer: -4918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 2. Let l = -30 - u. Let g = 9 + l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 - 3*p + 6. Let l be c(7). Suppose -175 = 2*y + y - a, 0 = -4*y + 3*a - l. Which is greater: -60 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/3 + h**2\/2 - 8*h. Let i be u(3). Suppose 230*a - 232*a = 3*w + 20, -3*a - 49 = -5*w. Is i >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o - 1. Let y(v) be the first derivative of v**2\/2 - 6*v - 5. Let n be y(7). Let w(l) = 5*l**3 - 5*l - 4. Calculate n*w(b) - 4*d(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863766.\nAnswer: 2, 3, 47, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.2. Let n = -20 - -17. Let p = q - n. Sort p, -1\/7, -1 in increasing order.\nAnswer: -1, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:37 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 11. Let l be k(9). Let t be (-2375)\/(-114) + 0 + l\/12. Sort 3, t, -3.\nAnswer: -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 2, n: 3, i: 4, j: 1, e: 2}. What is prob of sequence iep?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let t(c) = c + 1. Suppose 5*a - 56 = a. Let o(f) = 48*f + 8 + 18 + a. Let b(p) = -o(p) + 40*t(p). Give r(b(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.1. Let l = 56474 - 56472. Which is the closest to 4? (a) y (b) 0.03 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 41?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 926640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 13*f + 42. Let d be i(-7). Let a(j) = j**2 + 3*j + 3. Let z be a(-3). Solve -3*t + z = -d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(27\/(-9)))\/(4\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 40904.\nAnswer: 286328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 + 5*s + 2. What is m(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 81*a**4 - 18715*a**3\/2 - 47571*a**2\/2 + 14930*a - 354 = 0.\nAnswer: -3, 2\/81, 1\/2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Let b be m(-9). Suppose 0 = b*a - 6 - 194. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 6*o + 8. Let l be (-1)\/(-7) + (-570)\/21. Let g = l - -21. Determine a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3496 = 56*c - 117072. List the prime factors of c.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 5*h**5 + 4*h**5 + (-2*h**3 + 0*h**3 + 4*h**3)*(2 - 2 - h**2) - 67*h**5 - 73*h**5 + 49*h**5.\nAnswer: -94*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122.43 and -0.3.\nAnswer: 36.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 33 = 2*g. Let o be (-11)\/(-9) + g\/81. Let x = o - -19. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4 + 1\/2*c**3 - 2*c + c**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210082 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 5*x. Calculate p(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10608 is divided by 624.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -53. Let c = o - -3. Solve 4*l + c = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*v - 5 = v, 11 = -5*i + 2*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -391889 and -391436 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/9 - 25432*h**3\/9 - 2*h**2\/9 + 25432*h\/9 = 0. What is h?\nAnswer: -1, 0, 1, 12716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 91. Calculate the remainder when 110 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m + 52. Give h(-13).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9151, -9111, -9069, -9025, -8979?\nAnswer: -8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 15*p - 8. Let z be u(8). Suppose s - 4*f + 27 = 0, 4*f - 41 = -z*s + 3*s. Let j be 2\/8*(-2 - 25). Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1014174 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -19. Let t be (-1)\/(-2)*(-18 - 6)*-7. Calculate the greatest common divisor of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57207*l**2 + 7009*l**2 - 64206*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -545\/4. Put -5\/4, -3\/5, -4, m in ascending order.\nAnswer: -4, -5\/4, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 10*b**2 - 4*b - 13. Suppose -3*j - 4*v + 69 = 414, j - 4*v = -131. Let i = j - -127. Calculate the remainder when o(-10) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 891*h*j*v**2 + 7*h*j*v + 635*h*j + 264*h*v**2 - h + 2*j*v - 9*j wrt v?\nAnswer: 1782*h*j + 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h = -0*h - 3, 4*h = -2*p - 18. Let a = 28 + p. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -14802082.2.\nAnswer: -14802082.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.3731 years in decades?\nAnswer: 92.13731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.4182 litres?\nAnswer: 45418.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44481.\nAnswer: 3, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m**4 + m**2 + 7*m**4 - m - 2 + 4*m + m**3 + 10*m**4 - 7*m**4 to the form p*m + z*m**3 + a*m**2 + s*m**4 + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10120121012221200?\nAnswer: 10120121012221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10361*k - 1992. What is the tens digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by 1370?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 635*p**3 + p**2 - 1. Let l be o(1). Let w be 93\/(3\/6 - 17\/30). Let j = w + l. What is j rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuduuuuuuuduuuuuuu. Give prob of picking 1 u and 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 4\/7, -3\/4, -0.1, 45?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 9:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -0.34. Let o = r + 0. Let v = -0.434 - o. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 405019883.4 to the nearest ten thousand.\nAnswer: 405020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 872.583324 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 3, s: 4, f: 3, d: 1, u: 2}. Give prob of sequence bdi.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 11*l + 120. Let x be (-1)\/(4 - (-94)\/l). Let g be (-26)\/x + 4\/(-24). Solve 3*d = -g*b - 7, 4*d + 14 - 2 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18007 or -18004?\nAnswer: -18007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 2. Let h be w(8). Find c such that -h*c + 14*c**2 + 2 + 1 - c - 2*c**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629051?\nAnswer: 17, 37003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 9:15 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + (-2 - -16) - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 18. Is k(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 5*a**2 - 2*a**2)*((3 - 2 + 1)*(-3*a**2 + a**2 + 0*a**2) + 3*a**2 + 0*a**2 - a**2) - 36*a**4 + 168*a**4 - 61*a**4.\nAnswer: 75*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/2 + m**3\/3 + 3*m**2\/2 + 2*m - 18. Let x(f) = 2*f**3 + 2*f**2 + 4*f + 3. Give -3*l(s) + 2*x(s).\nAnswer: -2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083475 = 112*n + 101*n - 188*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (106 - 97)*1\/((-9)\/(-4)). Let i = 8 - 6. Let b = -91 + 818\/9. Put b, h, i in descending order.\nAnswer: h, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 1 - (-4 - -6). Suppose 19 = 10*c - 9*c. Suppose 2*z = -j + 2*j - 7, 5*j - i*z = c. Solve 4*t - t - f = -10, -j*f + 12 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - (-3)\/(-2). Let b be 9 + -1 + (-4)\/l. Let o be (3\/(-6))\/(2\/(-20)). Solve 6 = 4*u - 2*n, o*u - 3*n - b = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -5, 36.\nAnswer: -5, -3, -1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3255*d*r + 7983*d - r - 327978324 with respect to d.\nAnswer: -3255*r + 7983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 237 = 33*m. Suppose 7*p - m*p - 4 = 3*q, 0 = -5*p - 10. Find n, given that 0*n**2 + 4\/7*n**4 + q*n + 0 + 16\/7*n**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t. Let n = 229 + -225. Let b(m) = m**2 + 5*m + 2*m**2 + 2*m**2. Give n*b(d) - 9*f(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 918512.\nAnswer: 4592560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 24*r**2 + 1. Let a be p(1). Solve a = 7*z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 + w - 6. Let f be (-6)\/(-36) - 242\/12. Let i = f - -20. Calculate s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3615686 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564 + 4?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413*d**3*y**3 + 73*d**3*y**2 + 2*d**3 - 20219*d**2*y**3 + d**2*y**2 - 6*d*y**2 - 2*y**2 + 79 wrt y?\nAnswer: -2478*d**3 - 121314*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, -2\/3, 1\/3, 0.2.\nAnswer: -18, -2\/3, 0.2, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 + 2.3. What is the closest to -0.1 in 5, k, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2329\/10 + 1192\/5. What is the closest to -1 in -0.02, 2, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/(-490) - ((-72)\/63 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 14496?\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1082, 6430, 20936, 49178, 95734, 165182?\n\"Answer: 763*f**3 + f**2 + 4*f + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 3*u**2 + 0*u**2)*(-39 - 14*u + 13 + 11*u) as x + l*u**2 + s*u + m*u**3 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 587390 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12914 is divided by 12913.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 190*g - 614. List the prime factors of d(18).\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = w - z, -52 = 5*w + 2*z - 452. Which is smaller: w or 82?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725059486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*u**2 + u + 33*u**3 - 47*u**3 - 37*u**2.\nAnswer: -14*u**3 - 104*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:07 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a factor of 1005522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from obbbbobboobobbbobbb?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*i - 397267*a**3*i**2 + 365*a*i**2 + 379*a wrt a?\nAnswer: -12*a**2*i - 2383602*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1292*u + 10 = -1297*u, 11 = -2*i - 3*u. Are -1.704 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -477, -478, -479, -480, -481?\n\"Answer: -b - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*z = -252*z + 390. Let p = -101 - z. Let c = p + 48. What is the remainder when 71 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-125))\/(9\/(-15))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409489166.\nAnswer: 2, 17, 12043799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 696, 693, 690, 687, 684?\n\"Answer: -3*n + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 425.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 4 - (-14 - 8). Let u(y) = 5*y**2 - 21*y + 17. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:46 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/211, -1.6, 1, -1, 0, -4\/5 in descending order.\nAnswer: 1, 0, -4\/211, -4\/5, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 5*l**4\/12 - l**3\/6 + l**2\/2 - 89*l. List the prime factors of t(7).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l - 8316 = 62*l + 38*l + 122*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -842 (c) 0.02 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let t be (-6 - 0)\/(s + -2). Suppose -w = -2 - t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - 3) + (5 - -13 - 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*h**3 - 2*h + 1 + 5\/4*h**2 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = 7. Let o = h + 5. Let j be (o\/6)\/(-1)*-51. Let p(k) = 11*k**2 + 11*k + 3. Let w(a) = 4*a**2 + 4*a + 1. What is j*w(v) - 6*p(v)?\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 13*a**2. Let g(c) be the third derivative of 7*c**4\/24 - 67*c**2. Determine z(g(w)).\nAnswer: 637*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2501790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 7. Let o be u(-3). Solve z = o*b - z + 12, z + 5 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Solve 4*c + 18 = -2*b, 2*c - 3*c + y*b + 18 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 2*o + 0*o + (-4 - 3 + 5)*(4 - 4 - 3*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/11)*t*t\/(t*t*t**4)*t*t)\/(t**(2\/33))**6 assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1. Let x(s) = -4*s + 6. Let z(g) = 3*t(g) + x(g). Let q be z(0). Solve -2*a = 2*y - 0*a - 14, 0 = q*y - 3*a + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 126*f - 1. Let p be m(-2). Let b = -258 - p. Let z(a) = -2*a + 2*a + 2*a + 2. Determine z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -17226 - -25913. Let w be -4787*(2 + 2 + -3). Let y = w + i. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 5*c + 32*c + 44*c.\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33, 27, 17, 3, -15, -37?\n\"Answer: -2*p**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2399*p**2 + 111*p - 219. What is the units digit of g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 9) + (-12 - -3 - (7 + -19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15)*325\/(-10))\/(24\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2+-1640840.88\nAnswer: -1640842.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 3. Suppose 7*w + 2 = 8*w. Let d be u(w). Sort -2, d, 2 in decreasing order.\nAnswer: 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1458) + 1 + sqrt(1458))*3)**2.\nAnswer: -3888*sqrt(2) + 52632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99))\/sqrt(9) + 1 + sqrt(11) + 1 - sqrt(121)\/(sqrt(11) + sqrt(11) + sqrt(176) + sqrt(11))*5.\nAnswer: 2 + 9*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -683661 (base 9) in base 2?\nAnswer: -1100011111110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 130 = 162 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 24 = 4*i + 14*j, -2*i + 90 = 15*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)\/x)**(1\/8) assuming x is positive.\nAnswer: x**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -18. Let j = 8.4 - 10. Let w = 3.4 - j. Which is the second smallest value? (a) 4 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14880.03462 - 14685.032. Let y = -195 + u. Round y to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + (-22)\/(-28). Let w = 3.8 - 0.8. Let n = -0.36 - 0.04. What is the closest to -1\/2 in n, w, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**22*c**(8\/7)\/c)\/((c**(-20)*c)\/c*c*c**3) assuming c is positive.\nAnswer: c**(267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*b - 30, 566*d = -5*b + 569*d - 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 11 - 2. Let u be 2\/((-6)\/k) - -3. Calculate the remainder when ((3 - 4) + u)*-2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 103, 109, 115?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 121 + 73. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10877 and 14304?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/28 (c) 0.5 (d) 2 (e) -0.556 (f) 5\/2 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 300?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 21. Let s be ((-8)\/24)\/(1\/6). Put s, m, 2, -16 in decreasing order.\nAnswer: 2, s, m, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 4783960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2 + (1 - 0))\/(26333\/(-3098))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16845.97+-482.5\nAnswer: 16363.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333144620 rounded to the nearest 100000?\nAnswer: 2333100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:40 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-7))\/(-13*(-10)\/910))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 54650755 = -253757390. Let g = t - 12258761. Round g to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/49 < -39.839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5920 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -3, 10, 5\/2 in decreasing order.\nAnswer: 10, 5\/2, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:59 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:11 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 28. Give j(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4854, -0.5, 2, -3, 2\/15 in ascending order.\nAnswer: -3, -0.5, 2\/15, 2, 4854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 814371.60031 + -814376. Let m = -4.4 - v. What is m rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**2 - 5*l**2 + 22*l + l**3 + 5*l**2 - 4 + 3*l**2. Let r be t(7). Suppose r*y = -2*k + 49, 2*y - y = k + 18. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -7 + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.744496 * -90\nAnswer: 607.00464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040 and 507.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.3 (b) -5 (c) 0.14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than or equal to -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**3 + 2*m**2 - 3*m + 6. Let p(u) = u**3 + u - 1. Let k(c) = o(c) + 5*p(c). Is k(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46022, -46331, -46640?\n\"Answer: -309*c - 45713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 2 - 3*y + 4*y)*(-2*y - y + 4*y)*(1 + 12 + 7)*(7 - 5 - 5) in the form g*y**2 + u + b*y and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 52. Let p = -7 + b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -a, -4*z + 8*z - 8 = 4*a. Let p be (a\/1 - -5) + 3 + -11. Let r be ((-10)\/4)\/5*4. Put 4, p, r in increasing order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*q + 8. Does 9 divide 0 + (q - 2 - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/22 and 57\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d - 7. Let l(k) = -k**2 - 8*k - 2. Let n be l(-8). Let i = -3 + n. What is the smallest common multiple of 4 and q(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69974 or 69972?\nAnswer: 69974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (17 - 21)) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291.0132 + 291.9. Round f to 2 dps.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -3 (c) -32 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 5\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101510, -101507, -101496, -101471, -101426, -101355, -101252?\nAnswer: -101111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-18) - -4 - (-7 - 581\/(-84))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286468 = -16*o + 42*o. What are the prime factors of o?\nAnswer: 2, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 23. Suppose -y*l - 295 = -7*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1140799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1147.39 - 1146.4. Which is smaller: b or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 plus 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4363 rounded to 1 dp?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 23*c**2 - 10*c + 30. What is the tens digit of n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3030 + -2537. Calculate the remainder when c is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/90)\/(18\/27)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**3 - 5*y**2 + 12*y + 29. Let k(f) = -5*f**3 - 2*f**2 + 4*f + 9. Let w(a) = 7*k(a) - 2*t(a). What is w(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x + 600. Let u be v(54). Solve -4*z = u + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 125212.\nAnswer: 37563.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5399, 22837, 51901, 92591, 144907, 208849, 284417?\nAnswer: 371611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 219854\/(-4440) - -49 - (-4)\/6?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - ((sqrt(600) - (sqrt(600) + sqrt(600)*-3 + sqrt(600)))\/sqrt(12) - sqrt(50))) + 2 + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102382.6t in kilograms?\nAnswer: 102382600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - 2*q + 1. Let k(j) = j**2 + 13*j + 48. What is the remainder when p(2) is divided by k(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -65, 1 in decreasing order.\nAnswer: 1, -4, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44732.\nAnswer: 2, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 121875?\nAnswer: 243750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.044 and 25?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/8, -6, -5.5.\nAnswer: -6, -5.5, -1\/8, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 + -554. Which is the nearest to 4? (a) g (b) -1\/7 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7671763439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910074, 1820057, 2730042, 3640029?\nAnswer: 4550018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 90*r**2 - 85*r.\nAnswer: -5*r*(r - 17)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.708898 millilitres to litres.\nAnswer: 0.003708898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1008) - (-4 + 1*sqrt(1008))) + 4)*-6 + -3.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*v**2 + 89*v**2 - 4*v + 68*v**2)*(11*v**3 - v**3 - 2*v**3).\nAnswer: 192*v**5 - 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = a - 6, -3*x - 4 = 5*a. Let f(z) = -3*z**2 + 30*z - z**3 - x*z - 18*z + 5*z**2. Give f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5 + 1. Suppose -2*y + m*k = -12, -5*y + 4*k = -0*y - 27. Suppose -5*l = -q - 4, -4*q + 7 + 0 = y*l. Solve -d - 3 - l = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**2 - 2*l**2 - 7*l**2 - 7*l**2 to n*l**2 + i*l + m and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 4*m**3 - 2*m**4 + 0*m**3 + (68*m**4 - 22*m + 22*m)*(2 - 1 - 4).\nAnswer: -206*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(135) - sqrt(135))\/sqrt(5) - sqrt(27))*-5.\nAnswer: -3 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20110 - 9890. List the prime factors of g.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Let k be 5\/(-3) - (0 - r). Is k at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 6. Suppose 5 = -5*s - 5. Let k = -2 - s. Solve -3*a - i = -k*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.2, 36, 2\/7, -28\/5 in decreasing order.\nAnswer: 36, 3\/5, 2\/7, -0.2, -28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-186575060)\/33187440 - (-2)\/(-8). Let z = -2\/10637 + i. Suppose -2\/13*k**3 - 432\/13 - 36\/13*k**2 - z*k = 0. Calculate k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-7) - (55 - 46)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 + 5*b + 40. Calculate o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115010 - -2331?\nAnswer: -112346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2683*u - 10683 + 106654 = -32587 - 13641 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58727597 by -3673.\nAnswer: 15989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (0 + (3 - 3)). Differentiate 5 + 2*c**3 - i*c**3 - 2 + 2*c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.5 + 115. Let o = 294 - 299. What is the nearest to 1 in -1\/18, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 24*s - 70. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/43056 and 11\/14352.\nAnswer: 43056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 35*z + 3. What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1096, -1102, -1122, -1162, -1228, -1326, -1462?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 1 - 3\/2*i**2 + 0*i. Let u(l) = -l + 1. Let b(o) = o**2 - 3*o + 3. Let r(n) = -b(n) + 3*u(n). Calculate r(k(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2415?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-18 - (1 + 5 - 7))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -22040.7.\nAnswer: -15428.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10*t + 5*t - 15 = 0, 2*f + 25 = 5*t for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let j = -73 - -84. Let v(g) = -5*g**2 - 5*g**2 + j*g**2 + g**2. What is q(v(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 32*b - 89. Let u(f) = -106*f + 268. Calculate -13*t(m) - 4*u(m).\nAnswer: 8*m + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5980949537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -732517 or -2197547\/3?\nAnswer: -732517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -519, -1160, -2057, -3210?\nAnswer: -4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 81 + -9 - (17 + -15 + -23)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-4)\/(-12) - -4. Suppose 2 = -q, -2*b - 6 + 0 = a*q. Solve 0 = b*o - 3*x - 13, -4*x = -5*o - x + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.06 (b) -5 (c) 0 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*z + l, 2*z + l = 5*l + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784953 and 2180425?\nAnswer: 19623825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*s - 54478, -s + 30225 = 2*f + 8426. Suppose 30612 = 14*n - f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245095, 245094, 245093?\nAnswer: 245092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(5*(-3 + sqrt(245) - sqrt(245)) + -3).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51, -7.\nAnswer: -51, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from {z: 1, w: 2, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065462 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 64. Let g be (-88)\/(-32) - (-9)\/(-12). Calculate the greatest common divisor of p and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15847.\nAnswer: 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l - 3*o + 1, 4*l = -4*o + 12. Let k = -2 + l. Suppose -3*g - 4*n + 3*n + 55 = 0, 5*g - 77 = k*n. What is the remainder when 50 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k - 207. Let g(w) = 29*w - 974. Give -4*g(n) + 19*l(n).\nAnswer: -2*n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 138*j**3 - 444*j**2 - 280*j + 192.\nAnswer: -(j + 2)**2*(j + 24)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 444549003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1486.7 + 1073. What is t rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -67847, -32 in descending order.\nAnswer: 0, -32, -67847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 8. Let x be (-3)\/(2*3\/(-6)). What is the nearest to -1\/2 in 1, c, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*b**4*j**3 - 260*b**3 - 410*b**2*j**2 + j**3 + 13 wrt b?\nAnswer: 288*b*j**3 - 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -693 + 693.4. Let x be 0 + 0 - (3 + -1). Put x, 2, m in decreasing order.\nAnswer: 2, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14187912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-27))**(-15))**(-4\/17) assuming u is positive.\nAnswer: u**(-1620\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1553.6082 months to decades.\nAnswer: 12.946735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 2*c**2 + 4*c + (3*c + 2*c - 3*c)*(-c + 2*c + 5*c) + 0 - 2*c**2 + 0 to w + a*c + r*c**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 + 44*u**2 + 2*u - 4. Let q be t(11). Let x be (-896388)\/q + (-20)\/30. What is x rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22480794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-70) + 2370\/14 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - 4*g + 4*s, -2*g - 16 = -5*s. Suppose g*r - 174 = -2*m, 2*r = 4*m - 322 - 38. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*0.4\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 902*k - 4460.\nAnswer: -2*(k + 5)*(k + 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*t + 10 = 0, 0 = -f - 3*t - t - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0601 - -0.4399. What is the closest to 2 in 0, -3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.042, 76 in decreasing order.\nAnswer: 76, 1, -0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 2918088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 2. Let c(x) = 5*x + 3. Let t be (-12)\/9 + -4*16\/24. Calculate t*s(l) - 3*c(l).\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -5\/2*x**2 + 2\/3*x**3 + 2*x + 0. Find the first derivative of m(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + q + 65, -4*q + 10 = -6*q. Let h be (2\/(-3))\/(52\/t). Let y be 0\/(8 - (12 - 6)). Sort y, -1, h.\nAnswer: -1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 10*q - 11. What are the prime factors of k(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221494 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/83 - -1456\/1245. What is the common denominator of j and 11\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.466339 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -80*o. Let p(t) = 331563*t + 1. Determine p(a(r)).\nAnswer: -26525040*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*o**5 - 22*o**5 + 45*o**2 - 50*o**5 wrt o?\nAnswer: -2700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85879 + -85886.9989. Let n = 8 + r. What is n rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-5287)\/170 + 30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.88 and 3.9?\nAnswer: -54.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = 123*w - 51025 + 35521 for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 43 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 938784 and 60198.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 2*x + 3*x - 5*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z + 4. Let b be m(-1). Solve -b = 2*l + 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285432 (base 10) in base 8?\nAnswer: -1055370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1454 - 1447. Let o(w) = 5*w**3 - 4*w**2 + 7*w. Let i(z) be the second derivative of -9*z**5\/20 + 7*z**4\/12 - 13*z**3\/6 + z + 5. What is y*o(t) + 4*i(t)?\nAnswer: -t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 476*w = 481*w - 10, -16 = -4*g - 3*w - 42 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385413 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.256 * -17\nAnswer: -4.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206900 and 744840.\nAnswer: 3724200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -6, -1, 3 in increasing order.\nAnswer: -6, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/7568 and -47\/22.\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 660.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 31*m**2 - 116*m + 368. Let o be p(-26). Let i be 48\/21 + 2\/(-7). Let t(s) = 0 - 2 - s + s**3 - 2*s**3 + 4*s**i. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by -7781.\nAnswer: -247\/7781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**3 - 6*q**3 + q**3)*(0 + 5 - 1) + 6*q**3 + 15*q**3 + 14*q**3 + 2*q**3 - 3*q**3 + 0*q**3 to the form z*q + b*q**2 + r + p*q**3 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/3)\/o*o**(-3\/2)\/o)**34\/((o*o\/o**5*o)\/(o\/o**(-3))*(o**(-2\/33)\/o)\/(o**(2\/7)*o)) assuming o is positive.\nAnswer: o**(-14629\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 16393 and 16393 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -754.93480795 + -0.2167?\nAnswer: -755.15150795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (41130\/98712)\/((-4)\/(-16)*-2)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 166. What is the least common multiple of 45 and n?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623978789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 24*s**2 + 3*s + 6. Does 12 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(10\/9)*f*f)\/f)\/f)\/(f\/(f\/(f*f*f*f\/f**7))))\/(f**(-5\/4)*f**(-6)) assuming f is positive.\nAnswer: f**(445\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-1 + 0 - 1) + (0 + 1 + 0)*(7 + 2 - 4))*(-2*i + 2*i + 10*i**4).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1629\/8 and 204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 13338 + 2550 = 0. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600563 * -26\nAnswer: -15614638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/8)\/(-3))\/((-3057)\/24456)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684494457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1600)\/25)\/(((-30)\/25)\/(9\/10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-10) + (-1)\/(-5)*3. Is 17 a factor of 66 + -1 + k + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y - 33. Suppose 2*v - 4*h = -12, 3*h + 34 = 20*v + 6. What is the remainder when y is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 + 153*g**3 - 158*g.\nAnswer: -12*g**2 + 918*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/5 - 1437*b**3\/5 - 45792*b**2 - 2411520*b + 2457600 = 0. Calculate b.\nAnswer: -160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/3 (c) 0.048 (d) 2\/9 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/1)\/(0 - (2 + -4)). What are the prime factors of (-97)\/(t - (-3 - -1)\/2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5335 - -12801. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(68*x + 16*x + 15*x).\nAnswer: 297*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69\/152 + -3737\/1368. Let q = 13\/6 + h. Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -23. What is the highest common factor of b and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 30*z = 129. Suppose -2*o + 40 = 50*l - 48*l, -4*o = -z*l + 60. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + 9 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 320, 637, 952, 1265?\n\"Answer: -a**2 + 320*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 1 = -33. List the prime factors of 1\/1 - (z - 1990\/5).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5200421 - -105?\nAnswer: 5200530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512 - 552) + 2078\/52.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + x = 2 - 11, 2*h = -5*x - 21. Let o = 116185\/2 + -348553\/6. Let -1\/3 + o*m**3 + 1\/3*m**h - 1\/3*m = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 118 - 307 = 899. Sort j, -5, 7 in increasing order.\nAnswer: -5, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233 or 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:31 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.158 - 84.842. Sort -5, -1\/8, o, -4 in decreasing order.\nAnswer: -1\/8, -4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4\/9 - 18992*g**3\/9 - 11271752*g**2\/3 - 26759139248*g\/9 - 7940774571844\/9 = 0. What is g?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3795, 15304, 34497, 61368, 95911, 138120, 187989, 245512?\n\"Answer: -w**3 + 3848*w**2 - 28*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 103256066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25837708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - -16. Calculate the remainder when i is divided by 43\/2 + (-2)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40045208461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:30 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 874743 < 2\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.624\nAnswer: 6.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16452152.\nAnswer: 2, 41, 50159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 139*l. Let r(y) = 213*y. Give r(w(m)).\nAnswer: 426*m**2 + 29607*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.4525 and 5?\nAnswer: 12.4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19256527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 187?\nAnswer: -4\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79015.9ml in litres?\nAnswer: 79.0159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Suppose -2*b - 13 + 85 = -f*w, -4*b + 144 = 5*w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70731733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 11. Let u be f(26). Let n be 9*u\/((-225)\/(-10)). Solve 0 = 4*j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19263 is divided by 470?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - 5*i, i = 5*o - 18 - 2. Suppose 0*u + 12286 = 3*u - 4*n, 4*u - o*n = 16376. What is u rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = 2*v + 36*k - 59, 5*v - 9 = k + 137 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 235*l**3 - 235*l**3 - 3*l**2 - 5*l in the form d*l**3 + q*l + o*l**2 + x + h*l**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/264 and -97\/308.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 622181*f**2 + 622186*f**2 - 1244367*f**2.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 78, 128, 186, 252, 326?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/84)\/(6\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/4 + 17199*t\/4 - 208887 = 0. Calculate t.\nAnswer: 49, 5684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 17*f - 660. Let m be 4\/(-10) + 77\/f. Solve -4 = -x + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3170 is divided by 286?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(12))\/(sqrt(12)\/(sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(64)))) + 0)**2 - (3*sqrt(171)*-2)\/(sqrt(9) - -4*sqrt(81)).\nAnswer: 6*sqrt(19)\/13 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 - 19886 = 597*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuhh. What is prob of picking 1 h and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, 2337, 0, 4 in increasing order.\nAnswer: -2, -1, 0, 1, 4, 2337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046185 is divided by 149455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -298443 divided by -3\nAnswer: 99481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1304 or -1297?\nAnswer: -1297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69160 divided by -34580?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -832399 * 0.2\nAnswer: -166479.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49057 + 24528 + 11*m**2 + 24529.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656266 to the power of 1\/2, to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t - 55*t + 7*t.\nAnswer: -106*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 346. Suppose 5*h = -3*g + n, -4*h - 3*g + 184 = -0*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2053 or -2049?\nAnswer: -2053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18097 is divided by 110?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.098781g?\nAnswer: 0.008098781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -8. Let z = -1\/6 - -5\/6. Which is the closest to z? (a) s (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 + 11 = 0. Solve -4*t = c*r - 16, 8*r - 2*t = 4*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -73*z + 103. What are the prime factors of s(-15)?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 100*n - 597. Determine y(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -149*f**2. Let b(v) = 2*v. Determine b(g(x)).\nAnswer: -298*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220286896?\nAnswer: 2, 19, 10593049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 92541*c + 5*c**2 - 46265*c - 46273*c. Let w(u) = -10*u**2 - 7*u + 1. Give -5*d(i) - 2*w(i).\nAnswer: -5*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 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: List the prime factors of 2899.\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 16 + 1 + -1 + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 7883435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40711.23us to hours.\nAnswer: 0.000011308675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795050.\nAnswer: 2, 3, 5, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykppopiiipuoi. What is prob of sequence iiu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-2 + 3 - ((-47 - 0) + 15))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 1476522675*z**5 + 4178522565*z**4 + 2183787873*z**3 - 550677705*z**2 - 32912676*z - 446988 = 0.\nAnswer: -2, -1, -193\/7395, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26182599.58 + 26182548.58000053. Let f = d - -51. Round f to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - z = 15*z - 491418. List the prime factors of z.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (2 - 1) - -5. Suppose -11 = -2*g + 5*u + 15, -g = t*u. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 1, d: 2, o: 6, n: 2}. What is prob of picking 2 o and 1 f?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.9 (b) -2\/37 (c) 4 (d) -3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 + 13*f. Suppose -u - 51 = 5*d, 0*u - 2*d = 3*u + 88. Let a(c) = c**3 - 3*c. Calculate u*a(w) - 6*n(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.5 + 2. Let s = a - -7. What is the nearest to 1 in -0.5, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, o: 3, u: 2, n: 1, d: 1}. What is prob of picking 1 d, 1 n, 1 u, and 1 e?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 + 335\/2. What is the closest to j in -0.1, -5, -5\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*g + 13452, -2*g - 2*g - 2*q = -10758. Suppose -5159 = -5*j + g. Suppose -5*r + 4995 = j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2. Let w(i) be the second derivative of 0 + 2*i + 0*i**2 + 0*i**3 + 1\/12*i**4. Give a(w(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3414324 - 20200?\nAnswer: 3344124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182455 - -333546. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5729492)\/(-276) - (-82)\/(-2829)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16287353*i**5 - 49*i + 1087479.\nAnswer: -325747060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + (sqrt(468)*3 - sqrt(468)) + sqrt(468) + sqrt(468))\/sqrt(12) - sqrt(39)) + sqrt(390)\/sqrt(160))\/((-4*sqrt(75) + sqrt(363)*2)*-5).\nAnswer: -17*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 376*a**2 + 761*a + 12. What is l(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033 (base 7) in base 8?\nAnswer: -2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 112 + 264 + -336?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1638*i - 58955. What is d(36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 + 80*n - 172. Suppose -h - 2 + 4 = 0. Calculate the smallest common multiple of v(8) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1178*b**2 + 1186*b**2 - 2366*b**2. Let u(y) = 2*y - 85. Calculate j(u(r)).\nAnswer: -8*r**2 + 680*r - 14450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 348*h - 1393. Let u be v(4). Let o(k) = -4*k + 3. Let y be o(2). Sort u, -9, y in descending order.\nAnswer: u, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(900)*1*2)\/((sqrt(3) + sqrt(18)\/sqrt(6) + sqrt(3))*5 + (sqrt(3) - 2*sqrt(3)*1) + sqrt(3)).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3678 (b) 8 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 83 + 2*v - 21 - 46.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 230, -430 in descending order.\nAnswer: 230, -4, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/12 + 10078*z. Let a(k) be the second derivative of 0 + 1\/3*k**3 + 2*k + 0*k**2. What is r(a(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 664587397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 200 (c) -0.07 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12651, -12647, -12643, -12639, -12635?\nAnswer: -12631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-48)*-1 + (-130)\/(-12). Sort v, 3, 1 in ascending order.\nAnswer: 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 113. Let y be j(-8). Let z = y - 95. Solve -f - 5*x - z = 0, -f - 4*x + 1 = 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 13. Let f be d(-2). Suppose 0 = -3*n - 3*o + 1437, -f*o - 5 = -0. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + i - 6 = -25, -5*y - 2*i - 20 = 0. Let l be ((-27)\/y - -1)*-2. Which is greater: -10 or l?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0 + 45*i**2 + 0*i - 247\/60*i**5 - 2\/3*i**3 + 25\/24*i**4. What is the second derivative of h(x) wrt x?\nAnswer: -494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 12. Let w(h) = 5*h**3 - 17*h**2 + 3*h - 13. Let m(b) = -6*b**3 + 19*b**2 - 4*b + 13. Let n(x) = 6*m(x) + 7*w(x). List the prime factors of n(g).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -25637202?\nAnswer: 25637175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213672196?\nAnswer: 2, 53418049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 23 and -0.108.\nAnswer: 22.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 54 = -8*k - 66 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t - 36*t + 90875 - 87275 = -20*t for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360490 and 13?\nAnswer: 360490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0201526 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 6.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let g be (x\/(-3))\/((-2)\/12). What is the units digit of (4 + 0)*g\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5750?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 8. Suppose -14*m = -11*m. Suppose 4*w - i = -m*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 6497.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -33. Suppose 5*q = 4*b + q, 4 = 5*b - 3*q. What is the remainder when m is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257 + -121. Let p = -92 + b. What is the remainder when 85 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:39 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2756 = -2*y - 5*g - 2714, 54*g + 82 = -y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) 3 (c) -2\/53 (d) -32\/5 (e) -12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - (-5 - (-2 - (-1 - -5)))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 + -331. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 64 = -0*y + 4*h, -3*y + 1 + 12 + 11 = 18*h + 2*h for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*k + 5*b, -k - 2*k - 12 = 5*b. Suppose 4 = n - k. Solve 3*g = -4*v + 5*g + 18, 0 = -v - n*g - 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -152. Let y(h) = k - 312 + 155 - 9*h. Let w(a) = -4*a - 5. Calculate -13*w(t) + 6*y(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/7 - (-30)\/(-70). Suppose 2*i = -6, -4*l + q*i + 69 + 412 = 0. Let g = -91 + l. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42850000 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.481.\nAnswer: 3.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2431\/3, -1.12, -0.4 in decreasing order.\nAnswer: -1\/7, -0.4, -1.12, -2431\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34367.51 - 34583. Let t = 214 + i. What is t rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzffffffffff. What is prob of picking 3 f?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -q. Calculate the greatest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*d - 766667, -3*s - 2*d + 232716 + 342313 = 0. Let q = 337327 + s. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8)*(-4)\/6. Let y = 2.8885 + -0.8885. What is the biggest value in -34, y, p, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17.3 (b) -21\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 17 = -3*h, 3*z + 3*h - 31 = 8*h. Suppose 0*l + 2*l - 3*f - 23 = 0, -22 = -3*l + z*f. What is the greatest common factor of 40 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98637 at most as big as -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/18))\/(i**(-7)\/i*i)*(i*i**(-1\/4))**23 assuming i is positive.\nAnswer: i**(907\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*h = 6*q - 2, 2*q = -3*h - 5. Suppose -8*v = -3*v + q*s - 4, s = 4*v - 11. Which is the third smallest value? (a) v (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16754\/84043 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from uuyyfufpuuurfyufruu.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 19*i = 2*q - 72, -3*i - 5*q = 108. Sort i, -1, 4, 1, -4 in ascending order.\nAnswer: i, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 3. Let f be 8\/l - 644\/(-12). Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxlx when four letters picked without replacement from lolllxllxxllosdblo.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - 130. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177 + 182. Suppose -a = s*v - 78, -5*a - 9*v + 4*v + 370 = 0. What is the remainder when a is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12838\/(-8646) + 2*2\/(-22)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - 2) - (7 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22561485 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 347*j + 13. What is the units digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q - 119*q - 112 = 109 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 28*b. Let s(p) = 237765*p**2. Determine g(s(f)).\nAnswer: 6657420*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*c - 24 + 48, -4*c - 20 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.33702 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, 39, 196, 445, 804?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 403759*c - 4845099\/4.\nAnswer: -(c + 3)*(c + 1615033)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5*t - 5*t)*(-1 + 0 - 1)*(-t**3 - 3*t**2 + 3*t**2 + (-3 + 4 + 1)*(-5*t - t**3 + 5*t) - 2*t**3 - 3*t**3 + 3*t**3).\nAnswer: -70*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 7376\nAnswer: 3\/7376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30*5)\/((-6)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 1035628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = t - 4*u - 271, -3*t + 2553 = 3*u. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*1)\/sqrt(8))\/(sqrt(400) + -2*sqrt(400)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 14, n: 5}. What is prob of picking 1 x and 1 n?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65493\/10 + -6544. Find the common denominator of b and 125\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-8))\/(x\/(x*(x**6*x)\/x)))**(-15)\/(((x\/(x*x**4))\/x**(2\/5))\/(x**6*x*x\/((x\/(x**(6\/7)*x))\/x))) assuming x is positive.\nAnswer: x**(499\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + m**4 - m**3 + (0*m - 2*m + 4*m)*(13*m**3 - 27*m**2 + 27*m**2) + 2*m - 8*m - 3*m - 2*m**4.\nAnswer: 25*m**4 - 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (53068\/(-7580) - -7)*(-25)\/17. Let v = b + 921049\/193290. Calculate the common denominator of -11\/24 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -62*t + 2. Let g be r(-3). Let y = g - 105. Suppose 5*p - q - 98 = 0, 4*p - y = -p - 4*q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1963667533609 - 3.2\nAnswer: 1963667533605.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j + 40*j = -12700. Let t(w) = -j - 3*w + 3175. Let g(o) = 2*o**2. Determine g(t(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 16*o + 210 = 65*i - 67*i, 0 = -10*o + 2*i + 700 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -110*r - 354. What is the hundreds digit of j(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1618 divide 11220011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Let g = -0.253 + 4.253. Which is the third biggest value? (a) p (b) -14 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 36 = 12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 8 - 3 - 6 + 0 + 4*g. Let l(q) = -5*q - 1. Determine -2*c(d) - l(d).\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*q + 42 = 0, 28*q + 23*q - 56*q - 123 = 4*i - 0*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.3. Let l = -0.55 + 0.6. Let b = l - a. What is b rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32790673079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2. Let o(v) = -5*v**2. Let g(x) = -3*j(x) + 2*o(x). Let q(d) = -6*d**2. Give g(q(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -c + 4*x, 4*x - 24 = -4*c + x. Suppose -c*z = -5*z + 106. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3596043849.\nAnswer: 3, 97, 12357539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33742 times -3?\nAnswer: -101226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5559 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -319*l**4\/12 + 424*l - 4. Let j(a) = -13*a. Give j(i(g)).\nAnswer: 4147*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6546, -13075, -19604?\nAnswer: -26133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 8*d**2 - 7*d + 4. Let u be f(-7). Solve 3*g - u + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18433865?\nAnswer: 5, 17, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*z - 1796. Calculate the remainder when 572 is divided by z.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -167 and -1056950250865.\nAnswer: -1056950251032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 + 0*n**4 + 0*n**3 + 1\/10*n**5 + 21*n - 13*n**2. Differentiate h(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121113.\nAnswer: 3, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -23*i**4\/12 - 3*i. Let f(w) = 2*w**2. Determine s(f(k)).\nAnswer: -92*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b771c1 (base 15) in base 13?\nAnswer: 1a693b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 9*j - 3003 = 0. Suppose 7*o = -1132 - j. Let h = -70 - o. Does 51 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3*c - 2. Calculate l(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxexxxexexe. What is prob of picking 1 x and 3 e?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 75534189, 75534194, 75534201, 75534210, 75534221?\n\"Answer: i**2 + 2*i + 75534186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s - 64. Let u(y) = -4*y - 32. Let h(x) = 5*u(x) - 3*v(x). Let f be h(-10). What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7*63\/36. Which is the nearest to 0.46? (a) 0.2 (b) 1\/25 (c) y (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kki when three letters picked without replacement from kkik?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 337350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-5 - (5 - 7) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/6 + 17*z**3\/6 + 2*z**2 - 8*z. Let h(q) = q**2 + 8*q + 2. Calculate 13*h(n) - 6*k(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y - 64. Let u be g(4). Find the third derivative of d**3 + d**u + 2*d - d**2 + d + 8*d**4 + 7*d**4 - 4*d**4 wrt d.\nAnswer: 288*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/20 + o**4\/3 + o**3 + 3*o - 5. Let r(y) be the first derivative of q(y). Determine r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00842059517 to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1365, 1378, 4121, 6864, 9607?\n\"Answer: 2743*u - 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {o: 4, s: 1, u: 2, l: 1, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -10*z + 14*z, -4*z - 33 = 5*a. Sort z, 7, -0.4 in descending order.\nAnswer: 7, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758218 is divided by 1776?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - 1) + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 6017, 6, -0.47?\nAnswer: 6017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f + 5. Let v be h(-1). Let k(c) = -c - 4. Let g be k(-7). Let d be (-6)\/v - g\/(-2). Solve -4*s + 5 - d = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 34787*v + 34785*v + 32, 18*v = -2*w + 152 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163705 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 132\/21 - 12\/42. Suppose -f = -n + 12. Let y(g) = 3*g**2 + 8*g - 6. Let k be y(-6). Calculate the greatest common divisor of n and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/770 and -26\/6237?\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q. Suppose -429 = -3*y - q*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 332 and 10.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 - -9)) + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 0.1.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2110, 243 in descending order.\nAnswer: 2110, 243, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oqooqqqqqqooqqoooqoq?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 727 + -209450?\nAnswer: -208723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4171, -4143, -4115, -4087?\n\"Answer: 28*f - 4199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52279*c**4 + 850*c + 80?\nAnswer: 627348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, -7, -636.\nAnswer: -636, -7, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 4*f**4 - 2*f**5 + (-1 - 3 + 3)*(2*f**5 + 0 + 0) + f**4 + 6*f**5 - f**4.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25*s - 158. Let g be q(-9). Solve -g = 5*i - 82 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24577 and 5362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4531583, 9063164, 13594745, 18126326, 22657907, 27189488?\n\"Answer: 4531581*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144*y + 94 = 1149*y + v, 2*y - 52 = -4*v. What is the highest common divisor of 254 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16506 and 148302.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -36 (b) -42\/125 (c) 3 (d) -6 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/424)\/(-2*6\/((-120)\/(-55)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392396043?\nAnswer: 3, 13, 10061437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9046.343 nanograms to micrograms.\nAnswer: 9.046343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44276 - 0?\nAnswer: -44276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70943695*2.\nAnswer: 141887390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3 + 3 + 4*o - 5*o. Let q(z) = 3*z**2 + z**2 - 3*z**2. Give q(y(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 1\/60*k**5 + 1\/2*k**3 + 0*k + 1\/12*k**4 + 0 + 1\/120*k**6 + 8*k**2. What is x(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -418 - -810. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 26.999989. Round v to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 10 - 331. Let c = -63 + 31. Let n = -10 - c. Calculate the remainder when y is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 2. Let n(x) = 9*x + 126. Determine n(k) - 6*s(k).\nAnswer: -3*k + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106\/11 + -976\/99. Which is the nearest to -0.1? (a) 0.09 (b) 1\/4 (c) y (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (202\/(-60) - (-7)\/(-14)). Sort 0.12, k, -0.4.\nAnswer: -0.4, 0.12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688.416 years in centuries?\nAnswer: 86.88416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*q*r**2 - 10*k - 2*q**3*r**2 + q**3*r + q**2*r**3 + 2*q**2*r + 1 wrt r?\nAnswer: 8*k*q - 4*q**3 + 6*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722934 or 722942?\nAnswer: 722934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 18. Let a be s(16). Let d = 406 + -280. Calculate the highest common divisor of a and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31a17 - -7?\nAnswer: -31a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from {i: 2, n: 4, l: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3867 less than -11?\nAnswer: 3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*f - f + 195, 4*f - 812 = -4*b. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Let t(d) be the third derivative of d**6\/120 - d**5\/60 + 3*d**3 + 2*d**2. Let s be t(0). Solve 2*q - s = -4*h, q + h = -i*h + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 6*f - 147. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 6 in ascending order.\nAnswer: -8, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273786 is divided by 273308.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -1\/3 (b) -0.5 (c) 0.03 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2205.8 (c) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 18. Calculate the least common multiple of 2\/f + (-1520)\/(-48) and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - y + 2 - 14, 5*y = -5*k + 20. Suppose 5*h - t = -276, -k*h + 7*t - 240 = 11*t. Let o = h + 59. Solve o*q - 7 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56535 by -3.\nAnswer: 18845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*c + 18*c. Let v(m) = m**2 + 4*m - 9. Let i be v(-8). What is the closest to -2\/7 in i, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2 - (17 + -10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-17)*((-20)\/(-210)*7)\/((-376)\/(-12)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7590 (base 16) to base 6\nAnswer: -351200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 741 + -350. Let r = v - 275. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppxppwpypxxww. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 16 = -i. Let z = -14 - 32. Let a = z + i. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 12*m + 2. Let j be h(6). Let z(q) be the third derivative of 0 - 5\/24*q**4 + 0*q - 1\/2*q**3 - 1\/60*q**5 - j*q**2. Calculate z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3063, 2547, 1709, 549, -933?\nAnswer: -2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1100) + -2*sqrt(1100)))**2*-4 + (1*sqrt(99)*1)\/(2*sqrt(1089)).\nAnswer: -70400 + sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -7*z**6\/60 - 19*z**3\/6 - 11*z**2. Find the first derivative of t(l) wrt l.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/9 - 1252*i**4\/3 - 7574*i**3\/9 + 11256*i**2 + 45096*i + 45120 = 0?\nAnswer: -3, -2, 6, 1880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8945381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7680 = 207*j + 4368 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from tnfzznnzfsf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1737 = -205*t + 1804 + 149 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238 + -117. Suppose -5*c + 6 = -19. Suppose 3*q + 55 = c*z, 2*z + 4*q - 14 - 8 = 0. Calculate the greatest common divisor of z and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4) + 1 - -2*sqrt(153)) + ((sqrt(153) - 1*sqrt(153))\/sqrt(3))\/sqrt(3) + -5)**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3644 (base 11) in base 4?\nAnswer: -1022133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 24*b + 4*o - 40 = 0, -5 = -o. What is the nearest to -0.4 in 1\/4, b, -1.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788009791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6343, -12674, -18991, -25288, -31559, -37798, -43999, -50156?\n\"Answer: y**3 + y**2 - 6341*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, -16, 1 in increasing order.\nAnswer: -16, -5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3983 - 2875. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29862.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccw when three letters picked without replacement from cxcxixcccxccxxxxw?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by 28938\nAnswer: 89\/28938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**3 - 3*g**2 - 1027*g - 4. Let n(j) = -j**3 + j**2 + j + 1. Calculate -l(k) - 4*n(k).\nAnswer: -2*k**3 - k**2 + 1023*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25 = -f - 16, 15 = 3*f - 5*q. What is the biggest value in -40, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2024754*f**6 - 4*f**3*v - 2*f**2*v + 347*f**2 - 10*f*v - 166*v wrt f?\nAnswer: -242970480*f**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -79494 (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563097883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 - 22*f\/7.\nAnswer: f*(f - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3063, -3054, -3045?\nAnswer: -3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200001 + 10?\nAnswer: 200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 539, 512, 465, 392, 287?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let a(j) = -4467507*j. Give a(b(y)).\nAnswer: 4467507*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*s**4 + 2*s**4 - 7*s**4 - 2*s**4 + 203 - s**4 wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.961 + -0.039. What is the closest to -1 in 0.06, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18572 times -2301?\nAnswer: 42734172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*n + 3. Let y(m) = 3 - 7 + 11*m - m**2 - 2. Is y(n) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -0.07 (c) -0.1 (d) 2\/11 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*o + 44 = 5*b + 155, 20*b = 18*b - 2*o + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67925 is divided by 148?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10730 - -16191. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/3 - 7*t**4 - 23*t**3\/3 + 7*t**2 + 22*t\/3 = 0. Calculate t.\nAnswer: -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 29*p**2 - 12*p - 7. Does 20 divide b(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1389 and 33.\nAnswer: 15279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34284 and 1?\nAnswer: 34285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -517.43 - -528. Let a = z - -1.23. Let j = a - 27. Round j to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5\/5 - 32*u**4\/5 - 28*u**3 + 1048*u**2\/5 + 1792*u\/5 - 6272\/5 = 0.\nAnswer: -4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**3 + 214*v**2 - 16*v. Let f(l) = 2*l**3 - 53*l**2 + 4*l. Give -9*f(w) - 2*k(w).\nAnswer: -2*w**3 + 49*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 117\/7. Let m = 0.28 - -0.02. Let i be (-4)\/(-5)*2\/(-8). Which is the nearest to 1? (a) g (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2 + 3*v + 4. Calculate w(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 491620 and 13348.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -4*21\/(-12) + 1193 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19 - 0.189994. Round k to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906 is divided by 224?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 14052*j\/5 - 49364676\/5.\nAnswer: -(j + 7026)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 2*d - d. Let p(q) be the second derivative of q**6\/360 - q**3\/6 + 2*q. Let o(l) be the second derivative of p(l). Calculate o(r(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*i + 4*s, -5*i - s = -0*s + 58. Let x be 70\/(-6) - (-1 + 1). Let h = x - i. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 91. Let c = 253 - i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5125204575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8690\/(-110) - (-474)\/6. Let d be (-15)\/4 - (-2)\/(-8). Put l, 18, d, 5 in ascending order.\nAnswer: d, l, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2809 divided by -1046?\nAnswer: 2809\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.279 - -0.27900192. What is u rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 43 = 5*p + 5*b, -2*p - 535*b + 538*b = -71 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 461802*g**2 - 168*g + 52?\nAnswer: 923604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1688 - 944. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.7 (b) -0.5 (c) -2\/23 (d) -48 (e) 3 (f) -3\/2 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -27 - -36) + 33828.\nAnswer: 2, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5081*p - 3914*p + 11588*p - 6556*p + 3 + (0*p - 2*p + p)*(0 - 2 + 0).\nAnswer: -3961*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1.15, -1.2, -3, 0.112 in ascending order.\nAnswer: -5, -3, -1.2, -1.15, 0.112, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 2*o + 2*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - g + 5*n = -14, -4*n = -g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**3 - 2970*y**2 - 2998*y + 3.\nAnswer: -36*y - 5940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1303.8 (b) -0.283 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 66115*r**4 + 132115*r**3 + 1256095*r**2 - 1322100*r = 0. What is r?\nAnswer: -4, 0, 1, 5, 13221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24494347217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4756.62 + -4600. Let g = -3.62 + f. Let w = -152.9999853 + g. What is w rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 16*i**2 + 2*i - 2. Let n be g(16). Let c = n - 32. Let f(v) = -3*v. Give f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 18. Suppose 2*f + 3*d + 15 = 0, u*d = 6 - 31. Let t = f + 9. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2 + 155*u - 189. Determine f(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*m - 8*m. Let n be (2 - -8)*13\/1. Suppose -5*d - 78 = -t - t, -m*t + d = -n. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -15*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.8. Let g = 13 + -10. Which is the nearest to 1\/4? (a) s (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 618689 - 618689.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/3 - -3) + 11. Let y(t) = -2*t - s*t + 5*t. Let q(a) = -11*a. Give 3*q(x) - 5*y(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2 + 4\/(-2)). Let i be (m + 1)*(-4)\/(-4 - 0). What are the prime factors of ((-22)\/4)\/(i\/(-42))?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 22. What is the remainder when -3 + 9 - -66*(-3)\/(-6) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.09. Let p = f - -2.93. Let y = -4 + 5. Which is the biggest value? (a) 8 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/3? (a) -6\/83 (b) 9 (c) 1\/70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*m + 9, 3*m + 8 - 20 = 3*r. Suppose -4*y = 2*i - 2, -m*i + 5*y + 7 - 17 = 0. Which is the smallest value? (a) i (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, a: 2, d: 1, o: 3}. Give prob of picking 2 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7, 4, -3\/2 in descending order.\nAnswer: 4, -0.4, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 720750237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x - 2*x + 24*x + 2 - 54*x.\nAnswer: -97*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -905, -1800, -2681, -3542, -4377, -5180?\n\"Answer: c**3 + c**2 - 905*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192) + 5)**2 - ((-2*sqrt(192) - sqrt(192))*3)**2.\nAnswer: -15335 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75695 - -117995. What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s + 0*s)*(6 + 12 - 6).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/15))**(-28)\/(o*(o**(1\/2)*o)\/o)**18)**28 assuming o is positive.\nAnswer: o**(-9772\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-4 - -5)*-72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4)*u**(-5\/6))\/((u*u*u**(1\/5))\/u)**5 assuming u is positive.\nAnswer: u**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:19 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o + 1\/120*o**5 + 0 - 1\/3*o**3 - 1\/12*o**4 + 49*o**2 + 1\/120*o**6. Let r(h) be the first derivative of y(h). Factor r(u).\nAnswer: (u + 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -2593*y**5\/60 + y**4\/8 + 269*y**3\/6 + y**2 - y + 5176. Find the second derivative of t(r) wrt r.\nAnswer: -5186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*h + 275. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ggggfggkffgfzzgk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -15. Let f be d\/(1\/(15\/6)). Let m = -7 + f. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 187?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 11110 = 7*j - 7196. What is the lowest common multiple of 234 and j?\nAnswer: 26442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -3*b + 4*b, 2*b - 5*k - 51 = 0. Suppose 24*z = 134 + 298. Is z bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.57292ug?\nAnswer: 572.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 800200 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2. Let z = 40 + -42. Let h(t) = -7*t**2. What is z*h(y) - 5*l(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -14, 174, 634, 1456, 2730, 4546?\n\"Answer: 15*f**3 + f**2 - 102*f + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express p + p + 1 + 2*p**3 - 2*p + 2*p**2 in the form u + a*p + f*p**2 + o*p**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 3*h - 118, 7*q - 100 = 2*q - 0*q - 3*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p. Suppose 3 = -5*i + 13. Let r(v) = 4*v - 5*v + i*v + v. Give t(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87566 divided by 6?\nAnswer: 43783\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 3*g**2 + 2*g + 1. Let r(h) = -h**3 - 2*h**2 + 5*h + 4. Let b be r(-3). What is the units digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -389, -502?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-14)*108\/54.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1*(50\/20 - 3). Which is the third biggest value? (a) -1 (b) 5 (c) m (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-10) + 1\/(-5). Suppose 3*l = -x*u, -4*l + 24 = -10*u + 8*u. Let z(y) = -2*y**2 - 5*y + 2. Determine z(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1046944, 1046936, 1046916, 1046878, 1046816, 1046724?\n\"Answer: -q**3 - q + 1046946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2160 divided by 3\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/7470 and -79\/450.\nAnswer: 37350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 1. Let n be (-2)\/3 - (4 - (-52)\/(-6)). Calculate o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250 is divided by 80.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - -6 - (-4)\/(-12))*-63*(-48)\/(-1944) and (-1)\/2 - (-74)\/(-468)?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.175 - -3.175. What is the closest to -1 in 2, -1, h, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22854 and 12?\nAnswer: 45708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1195\/66 - -196\/33. Calculate the common denominator of (9\/(-4))\/(2 - 156\/69) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 627492476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:33 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/6 and -123\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (-7 - (-6 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31257 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*m + 705, -4*m + 299 = w + 39. Let x be ((-5)\/3)\/(5\/15). Which is the second smallest value? (a) w (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 12. Let k be t(11). Let q = -9 - k. What is the smallest value in -5, q, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 5. Let s(l) = 2*l - 10. Let x be (3 - 6) + 1*-12. Let q = -20 - x. Let g(u) = q*p(u) - 3*s(u). What is g(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 18 = -8 + 2, -i - x + x + 2*x - 12 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*q - 12*h - 64, -q + h - 25 = 0. What is the tens digit of q\/14*(-1936)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - 4*m - 6. Let z be ((-36)\/15)\/(-2)*5. Let t be i(z). Solve 2*b - t*b = 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, s: 2}. What is prob of sequence osoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose -64 = -f*d + 72. Let r(v) = 12*v**2 + v + 1. Calculate the remainder when d is divided by r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 4774*j\/9 + 29292.\nAnswer: -2*(j - 54)*(j + 2441)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 65*y - 17*y - 1 - 3*y - 26*y - 16*y. Let k(b) = -b**2 - 2*b - 1. Let j be k(-3). Let i(t) = -5*t + 2. Give j*i(g) - 7*p(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/24*(-2)\/6. What is the biggest value in z, -2\/3, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 5. Let h = -47.8 - n. Let x = -19 - h. Round x to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*d + 3*b = 197*d - 8, -2*d + 26 = 4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 + -0.33. Let s(k) = -3*k**3 + 2*k**2 + 2*k - 1. Let m(v) = v - 27. Let q be m(26). Let i be s(q). Sort i, -5, a.\nAnswer: -5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/11))**23\/((t**(-2\/81)\/t)\/(t*t\/(t**(-14\/9)\/t)*t*t)) assuming t is positive.\nAnswer: t**(29110\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28.439 - 28.139. What is the third biggest value in 3, l, 2\/27, -1.61?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35885181 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(60\/(-14))*(-14)\/14?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose -7*u + 5*d = -v*u + 931, u + 4*d + 238 = 0. What is the units digit of (2\/(-6))\/(6\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -23 - (16 + -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-95))\/(((-832)\/80)\/26)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*o**3 - 2507 with respect to o.\nAnswer: 153*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/4 + ((-63)\/12)\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90d2 (base 14) to base 8.\nAnswer: 60460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*i. Let m(o) = -2*o + 4. Calculate the remainder when m(0) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2 - 155*t + 10. Determine s(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, 18\/1199, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(1 + 2*k**2 - 1) + (4*k - k + 0*k)*(8*k - 8*k + 11*k) to o + r*k**2 + m*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8581377 by 4.\nAnswer: 8581377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24833183893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(26\/(-78)). Sort 6, n, -23.\nAnswer: -23, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b4 (base 14) to base 2\nAnswer: -101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-27)*3 - -5. Which is the second smallest value? (a) -36 (b) v (c) 1\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(26\/13).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*h**3*w**3 + 245285*h**3 + 9729*h**2 + 6*h*w**3 + 7*h*w + w**3 wrt h.\nAnswer: 66*w**3 + 1471710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(475) + -3)*-5*5 - ((-3*sqrt(475) - sqrt(475)) + -5 + sqrt(475) + sqrt(475) + 4*(sqrt(475) - (sqrt(475)*-2 + sqrt(475)))))**2.\nAnswer: -151800*sqrt(19) + 2309875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 1, 0 = 4*s + 4*c - 36. Suppose 17*x + s*x = 7700. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-205)\/(-25) - 8)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -7*i**5\/15 - 143*i**4\/6 - 2752*i**3\/9 + 581*i**2 - 147*i - 1107. Let f(k) = 0. Calculate k.\nAnswer: -21, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + h**2 + 1 + (1 - 2 + 3)*(-3*h**2 + 0*h**2 + 5*h**2) + 229*h - 111*h - 44*h**2 - 120*h + (-2*h + 0*h + 0*h)*(-2*h + 2*h - h).\nAnswer: -37*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23342847 to the power of 1\/2, to the nearest integer?\nAnswer: 4831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1010210 and 28.\nAnswer: 14142940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*l - 8 = 0, -3*y + 2*l - 5*l = -12. Suppose 0 = -12*i + 11*i + y. Suppose -2*v = -i - 10. What is the smallest common multiple of v and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 0, -13*o + 14*o + i = -3. Differentiate 56*f**4 + 0*f**3 - 40*f**4 + o*f**3 + 66*f**4 + 97 with respect to f.\nAnswer: 328*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-1 - -1). Suppose s*o = -4*o - 4. Suppose 184 = -11*r + 239. Sort r, o, -2.\nAnswer: -2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 14*x + 140. Calculate l(-11).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1197 (b) 3 (c) -6 (d) -0.1 (e) -5\/313\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 2. Let k be n(-5). Let b(w) = w**2 - 20*w - 43. Let l be b(k). Let z be -2 + l\/(-3)*3. Sort -4, z, 1 in descending order.\nAnswer: 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91*m**3 - 347*m**3 - 55*m**3)*(3 - 3*m - 3) in the form w*m + f*m**2 + j + u*m**4 + n*m**3 and give u.\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3102112 (base 4) to base 7\nAnswer: 54151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 3906\/210 - (308\/120 + -4 - -3)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -17*f + 6. Let g be s(0). Suppose -4*w - 2*q = -20 + g, -q = 3. Let u(h) = -4*h**3 - 2*h**2 + h - 2. Let z be u(-2). Solve 0*k - w*k = -z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 37 = -0*r + 5*t, t - 125 = -3*r. Suppose -r*v + 43*v = 12. What is the units digit of 17*((-3)\/((-6)\/(-8)) + v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374265237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -0.98. Round r to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1228, -1398, -1570, -1744, -1920, -2098?\n\"Answer: -u**2 - 167*u - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 10*h**2 + 10*h - 6. What is s(8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 456507 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - -1010?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((168665\/2212)\/((-15)\/8))\/((-10)\/15)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250290.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 3*m - m + (-1 + 4 - 1)*(-2*m + 0 + 0) + 14 - 2*m - 161 + 28.\nAnswer: -4*m - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 - 11*m + 2147. Let j(i) = 40*i. Calculate j(s(l)).\nAnswer: 40*l**2 - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(-10\/13)\/((c**(-3)*c*c)\/c**(-3\/7)))**(15\/8) assuming c is positive.\nAnswer: c**(215\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - f**2 + 2*f - 1. Determine g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + o + 0*l + 40 = -5*l, -2*o - 2*o + 31*l + 82 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 418.85 + -419. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1598)\/(-51)*((-298)\/149)\/(8\/(-6))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 7*w - 43. Let h be m(-4). What is the thousands digit of 1089 + 2 + -3 + h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767064?\nAnswer: 2, 3, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8052 divided by 2013\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 68596.02kg?\nAnswer: 68596020000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 26 + 71 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.21002274 - -23.21. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235081620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-11 + (27 - 8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 7*r + 0*r + 6*r + (-13 - 12 + 10)*(r - r - r) - 2*r + 0*r + 0*r to the form u + p*r and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 232 (b) 2 (c) -0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6475 divide 1157161059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-52737)\/(-4818) - 99\/9 and 57\/14.\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -3\/17 (b) -5 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/51, -2\/13, 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**1*i))*(i\/i**(-7))\/i*i)\/(i**1\/i**(2\/25)) assuming i is positive.\nAnswer: i**(252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -70, 2*n + 53*x - 50*x + 99 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001082499 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40123, 40139, 40157, 40177?\n\"Answer: f**2 + 13*f + 40109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + (sqrt(135) + 2*(sqrt(135) + (sqrt(135) - sqrt(135)*-2)) - sqrt(135) - sqrt(135)))\/(sqrt(225)*1))\/(-6*(sqrt(1944)*4)\/sqrt(8)).\nAnswer: -sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*a = 62, n + n + 4*a + 36 = 0. Calculate the common denominator of 39\/2 and (-2658)\/412 - (8 + n).\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8 and 720084.\nAnswer: 720084.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6058 - -6060. Solve j*x - 2 = 2*w, 13 = -w + 4*x - 9*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.35 - -0.35. Which is the nearest to -0.1? (a) -0.2 (b) s (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4613*w + 175336. Give u(38).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55390.56l?\nAnswer: 55390560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.996 - -52. Let j = -0.296 - i. Put j, -6, 2 in ascending order.\nAnswer: -6, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15781 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1442025498*k**3 + 1118990075*k**2?\nAnswer: -8652152988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 2391. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/2 + 117*p\/2 - 901530 = 0?\nAnswer: -795, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 371*k**4 + 2*k**3 + 17*k**2 + 1405 wrt k?\nAnswer: 1484*k**3 + 6*k**2 + 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {l: 4, a: 10, u: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8388348, -8388347, -8388346, -8388345, -8388344?\nAnswer: -8388343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 955146847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(37\/5)\/(l**(2\/9)*l*l*((l**(-8)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-271\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3246.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 20*p**5 + 355*p**4 - 2510*p**3 - 2155*p**2 + 690*p = 0.\nAnswer: -23, -1, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -32.69.\nAnswer: -41.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 240284663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -121311211?\nAnswer: -121311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/19 - 5680*b\/19 + 72971250\/19 = 0 for b.\nAnswer: -7625, 4785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 925701\/482895 + 2\/35. Is 0 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(9\/(-24) + 29\/(-8)). Which is the nearest to 0? (a) -5\/2 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*k + 5437339 + 8395895 = -64*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335908691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1695*y = 1568*y + 381 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 25*n. Let i(r) be the second derivative of -r**4\/12 - 12*r + 393. Determine k(i(y)).\nAnswer: 4*y**4 + 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -14 + 12 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232416800 rounded to the nearest one million?\nAnswer: 4232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 66*(6 + (-22)\/6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -3*s. Let g = s - -4. Solve 0*x + g = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*u - 3*u - 3231732. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b = 72*b - 37*b + 585. Let j(t) = 7*t + 29. Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 + 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3454*j + 66 = 5*f - 3458*j, -5*j = -43*f + 450 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -269063*o**3 + 252799 wrt o.\nAnswer: -807189*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2584041, 2584041, 2584065, 2584125, 2584233, 2584401?\n\"Answer: 2*d**3 - 14*d + 2584053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(sqrt(704) + 0))**2 + -4 - ((sqrt(704)*-2 + 3 + sqrt(704) - (0 + sqrt(704))*-3) + -2)**2.\nAnswer: -32*sqrt(11) + 22521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -6 (c) -0.2 (d) 1\/5 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1816820849, -1816820847, -1816820845, -1816820843, -1816820841?\n\"Answer: 2*k - 1816820851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**3\/3 + 4735. Let j(q) = 30*q - 8. Determine a(j(h)).\nAnswer: -1800*h**2 + 960*h - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 7, 3, -34, -3, -104.\nAnswer: -104, -34, -5, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (152\/(-24))\/((-140)\/(-48) + -3). Suppose -4*x + 348 - a = 2*r, -2*r = -x + 73. Calculate the highest common factor of x and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735593.7 millennia to years.\nAnswer: 735593700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-656)\/(-20))\/(-4))\/(((-2446)\/3669)\/((-2)\/(-3))).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 8*i - 3*i + 418, -3*i = -3*b + 255. Let k = i - -294. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(4200)*1 + sqrt(4200))*-5)\/((sqrt(324) - (sqrt(324) + sqrt(324)*-2))\/((sqrt(120)\/sqrt(4))\/sqrt(5))))**2*-3.\nAnswer: -70000\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z + 6. Let i be k(-3). Let o = i - -17. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 7*s + 13. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1484670)\/(-85481)*(-19)\/4*12\/(-11).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 2, g: 2, b: 4, f: 1, w: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -56102\nAnswer: 6\/28051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 13. Let a(z) = -z**2 + 7*z. Let q be a(c). Let f(v) = -v + 5. Calculate f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 - h + 1. Let i = 39 + -35. Suppose -3 + 7 = i*m. Calculate f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -10*o + 0*o**4 + 0*o**2 + 2\/225*o**6 + 1\/315*o**7 + 0*o**3 + 1\/150*o**5 + 0. What is j in b(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1225 = 4*c, 29*z - c = 30*z - 245. Let w(d) = 6*d - 13. Let l be w(-12). Let g = l + z. What is g rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -108*r - 109*r + 216*r. Let f(o) = -30*o + 1. Determine f(c(v)).\nAnswer: 30*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-206 - 52 - 26)*(-54*r + 21*r + 1 + 0*r) as k*r + c and give k.\nAnswer: 18744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26.63 + 5064\nAnswer: 5090.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203003 + 0?\nAnswer: 203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/231)\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35013 (base 6) in base 14?\nAnswer: 1b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3566337 + -1900514. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217\/62*2\/3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -3\/23, 0.2, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 435 = 180*k. Let u = 9.4 - 4.3. Let c = 1.1 - u. What is the second biggest value in k, 2\/9, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/15 and -91\/6210.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose -5*l = 3*n - d, -2*l - 1 = -5*l - n. Solve l = -6*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/(-3)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31227 and -1.\nAnswer: 31227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 8, q: 2, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + -2*sqrt(14)\/sqrt(7))**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let p = 15 + -14.97. Let w = -0.03 - p. Sort w, 4, z in increasing order.\nAnswer: z, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616 divided by 6?\nAnswer: -808\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5561 - 3879. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 6. Let u be i(-6). Let s(r) = 13*r + 5. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44531 - 2142?\nAnswer: 42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -x - 150. List the prime factors of x.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/295, 1, 17.2, -3 in descending order.\nAnswer: 17.2, 1, -38\/295, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 836723.5ms in microseconds?\nAnswer: 836723500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:54 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338866\/5 + 67773. Let a = 0.41 - 0.01. Sort l, a, 5, 18 in descending order.\nAnswer: 18, 5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -4*t - 25 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 216\/60 - 1\/5*3. Let q be -2 - ((-34)\/18 + 0). Let g = -1029\/10 + 103. Which is the nearest to -2? (a) q (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3\/2 - 88179*n**2\/2 + 88173*n = 0.\nAnswer: 0, 2, 29391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 456 - 198. Let p = -62 + g. What is the tens digit of p\/6 - (-42)\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545334000 rounded to the nearest one million?\nAnswer: 545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 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 n = 116 - 79. Calculate the remainder when 103 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 - (5 + 7)) + 2 + 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 150458*i - 300912.\nAnswer: -(i - 150456)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -115, -228, -375, -550, -747?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + 2*g**2 - 2*g**2)*(1 + 2 - g + 4*g) as o*g**4 + u*g**3 + b + c*g + v*g**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d - 23\/3*d**3 + 30*d**2 - 5\/4*d**4 - 2. What is the first derivative of a(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-14)*9163\/3927?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 42548.1 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 2)*(-52)\/(-312)*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 5. Let h(k) = -k**2 - 12*k + 13. Let c be h(l). Solve -7 = -w + 5*o, 3 = 2*w + o - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51777260 and 1165.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 65.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1539*j**2 - 6160*j + 6. Give i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6509 + 6523. Solve 22*x - 118 = q for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11338, -11360, -11382, -11404, -11426?\n\"Answer: -22*v - 11316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -3 (c) 1\/2 (d) -0.0032 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59.5 - -690.5. Let b = c + -751. Which is bigger: 189\/5 or b?\nAnswer: 189\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 3825000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g)**(-3\/28) assuming g is positive.\nAnswer: g**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1506993 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1 + d**3 + 5*d**3 + 0 + 2*d**2. Let n be -14*(1 + (-108)\/8). Suppose 0 = n*p - 173*p + 2. Calculate l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/63 and -48\/791945.\nAnswer: 7127505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*-2*10. Let r(i) = -i**3 - 6*i**2 - 7*i - 5. Let l be r(n). Find the second derivative of -p**2 + p + l*p - 4*p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.095 and 3?\nAnswer: -54.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 52*a**2 - 605*a - 410. Determine r(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 - 2 - (-3 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941 greater than 4942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 67*z**2 - 33*z + 1300. Calculate g(-66).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 835705141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Suppose -114*x = 94*x - 7567 - 1793. Solve -5*n - x = -4*l, s*l + 5*n = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + g - 1, 3*x - 2*g + 28 = 3*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddwdkddndnwwdkkfw. Give prob of sequence fd.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04139437595 rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 + n. Let i be j(1). Suppose -2*c + i*c + 12 = 0, 2*a + 4*c = 270. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 2*g + 10. Suppose -29*z + 101 = 6*x - 30*z, 0 = -4*x - 3*z + 27. Solve -4*y = -t + 8, y - 3*t - g = -x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*z + 30, 0*u - 31 = 4*u + z. Let o(k) = -k**2 - 9*k - 6. Let a be o(u). Calculate the greatest common factor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvbwvmttttmwbvbtwtt. Give prob of picking 1 t, 1 w, and 1 v.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3535, -3, 18, -2 in descending order.\nAnswer: 3535, 18, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 1\/5 (b) -2 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 476*c**2 - 8638*c - 8160.\nAnswer: 2*(c - 255)*(c + 1)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 - 1 - -8. Suppose -2*v = v, 2*v + 3185 = c*y. Let u = -450 + y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*w - 40315, 10*w = r + 14*w - 10065. List the prime factors of r.\nAnswer: 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.4407 and 13.1.\nAnswer: 9.6593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3 = 2*i - 5*i, -402*y - 440*y + 3*i = -846*y + 2*i - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.86. Let g = 0.0301 - -0.1321. Let u = k + g. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 + -0.357. Suppose 0 = w - 4*v - 12, 5*v - 3 = -5*w + 6*v. Which is the closest to -0.1? (a) w (b) -5 (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u - 17 = 152 - 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 5*j**2 - 4*j. Suppose 0 = 2*d - 5*h - 3 + 4, 4*d + 9 = 3*h. Let c be a(d). Let r = 32 - c. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let r be (2 + h + -1)*105. Let n be 5\/(r\/(-18)) + -1. Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158672 and 12449.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 2*w. Let a = -28 - -32. Suppose 0 = w*k - 5*m + 19, 5*k = -a*m - 4 + 6. What is the closest to k in -5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**2 - a - 2\/3.\nAnswer: -(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/16)*f)\/f*f**25 assuming f is positive.\nAnswer: f**(397\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-168))\/(-2*63\/(-168)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -34 - 29 + 89 + r - 26. Let l(y) = 21*y**2 + 5*y - 5. Let d be 6 - 0*1\/2. Let x(w) = 21*w**2 + 6*w - 6. Let j(n) = d*l(n) - 5*x(n). Give g(j(i)).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 22642.96 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*r - 8 = 0, 5*k + 4*r - 28 = k. Let y(x) = -x + 24. What is the remainder when y(0) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11130.8 + -10196. Round m to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + -0.2. Let b = p - -1. What is the second biggest value in -5, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/4 + 453021*y**3\/4 - 1359009*y**2\/2 - 24*y + 3624024 = 0.\nAnswer: -2, 4, 151001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 * 184.\nAnswer: 17112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5607 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 75. Suppose f = -3*o + o. Let t = 197 - o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 11, s: 1, m: 7}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87940 is divided by 17207.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 + 3 - 4*y + 11*y + 1 + y**3. What are the prime factors of x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, 1\/16, -6\/7, 216, 2\/5, -197?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007061938 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*y + 11, -2*y + 88 - 62 = 4*d. Put 4, 34, y in increasing order.\nAnswer: y, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.2673\nAnswer: 1.0692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*v = -17*v + 1013373. List the prime factors of v.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -488, -1131, -2022, -3155?\nAnswer: -4524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*l - 2*l - 10, 0 = 3*g + l + 63. Let w = g - -40. What is the remainder when 52 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/11008 and -95\/64.\nAnswer: 11008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 59521*t**2 - 3*t - 1. Let q(j) = 3*j**2. What is i(q(x))?\nAnswer: 535689*x**4 - 9*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-6 - -1)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 - 2 - 2*n + 4*n - 3. Suppose -3*l = 41 - 26. Let p(z) = 2*z - 5. Suppose 5*b - 47 + 17 = 0. Calculate b*p(s) + l*o(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 234 = -3*b, 114 = 2*b - x + 6*x. Solve 8*z + 10*z = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 117, 175, 233, 291?\n\"Answer: 58*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 66*i = -6*i - 23520. What is the remainder when 765 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*w = 4*a, 0 = a + 260*w - 258*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7665.129ml to litres.\nAnswer: 7.665129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12430\/(-3960)*(-3)\/(-244) and 19\/80.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-5*(sqrt(11) - sqrt(44))) - 3*(sqrt(44) + 1).\nAnswer: -29*sqrt(11)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 + 208. Solve q = -0*c + 4*c + 5*d, -4*d - 22 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 14*j**2 + 8*j - 36. Let i be n(-21). Suppose -8*w = -718 - i. Let q = w + -581. What are the prime factors of q?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccacaccccac. What is prob of sequence caac?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 7*q + 2. Let u be m(-6). Let o(z) = -z - 9. Let c be o(u). Sort c, -2, 1 in ascending order.\nAnswer: c, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-589)\/(-1653))\/((-5)\/420) + (-142)\/2059?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476827 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 17. Let k be w(-13). What is the derivative of -k*f**3 - 2 + 3 - 2 + 3*f**3 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + -1. Let v = j - -21. Suppose -g = -v*u + g + 232, u - 42 = -4*g. What is the remainder when u is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 2, 12, 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 463 - 233 - 238 + 19*x + (0 + 2 - 3)*(4*x - x - x) + 0*x + 3*x - 4*x + 3 - 2*x - 3 + (3*x - 2*x + 0*x)*(0 - 2 + 3) + 2 - 2 - 2*x - 4*x + 6*x + 6*x.\nAnswer: 21*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15151 (base 8) to base 10\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3, 0.09, 5733?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 89. Which is greater: x or 48?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451095.7ml to litres.\nAnswer: 451.0957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8686 - 4200 - 755 + 7013*b wrt b?\nAnswer: 7013","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -301160.12 to the nearest ten.\nAnswer: -301160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*709199\nAnswer: 6028191.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -337, 76, 2, 0.\nAnswer: -337, 0, 2, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/160*5\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 132073123.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**2 - m - 1. Suppose 377*t - 2815 = 382*t. Let y = 562 + t. Give h(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7375770?\nAnswer: -1\/1475154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136.159 + -0.341. Let r = 135.3981 + q. Let y = r - -1.11. Round y to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, -5, 5, 6, 2 in descending order.\nAnswer: 6, 5, 2, -5, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-14) + (-836)\/(-56). What is the greatest common factor of q and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 26*p**2 - 25*p - 58. What is a(27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2254 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-56)\/10*(-6)\/(60\/175).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255693996.\nAnswer: 2, 3, 43, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:08 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 - -130. Let u(n) = -n**3 + 11*n**2 - 10*n + 8. Determine u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/30 - 132\/(-330)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 12. Suppose 70 = r + m, -j*r - 3*m = -r - 340. Suppose -67*p + r*p + 6038 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 10*t + 1. Suppose 14*u = 52 + 46. List the prime factors of n(u).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1134002 + -1?\nAnswer: -1134003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c + 3*c**2 + 3 - c + 3*c. What are the prime factors of u(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 1. Let b(o) = 7*o**3 + 4*o + 8. Determine b(y) + 5*d(y).\nAnswer: 2*y**3 + 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104, -139, -184, -245, -328, -439?\n\"Answer: -h**3 + h**2 - 31*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179277 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*l = 1231*l - 58760 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 23. Let z = 2 - -7. Let y be z\/21 + (-6145)\/(-35). Calculate the greatest common divisor of j and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 132.3148.\nAnswer: 132.3848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**3 - h**2 - 4*h + 7. Is 8 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 1, s: 2, r: 3, z: 4}. Give prob of picking 1 s, 1 z, and 1 d.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873928259?\nAnswer: 3, 7, 3259, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3 - 1 - 3*i + i**2 + 2. Let o be z(3). Let w(y) = 5 - 1 - o + y. Let s(f) = 4*f. Determine w(s(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -23.6. Let j = 18.4 - i. What is the third smallest value in -0.3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 10*u**2 + 8*u + 18. Let j(t) = -2*t - 71. Let w be j(-48). Suppose w = 5*m - 4*f, 4*f + 21 = 4*m + 5. What is b(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**4 - 4*q**3 + 20*q**2 + 8*q - 20. Let u(v) = -v**3 - 1. Let g(x) = f(x) - 20*u(x). Solve g(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19851 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5726351 and 3907?\nAnswer: 5730258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 96905*g**3 - 465874290*g**2 + 35480545280*g - 35014574080 = 0. What is g?\nAnswer: -9728, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 63\/2. Let z be (-4)\/10*(-95)\/1. Suppose 2*r = -5*y + 13 - z, -y - 8 = r. What is the nearest to -1 in h, 3\/7, r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*i - 42437 - 83123. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + (-7 + 61 - 58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 86*s**2 + 1502*s + 5. Determine c(-25).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 632.6 + -9.6. Let a = j + -622.523. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 + 1586\/9. Let g = -0.2 + 0.3. Let m be 7\/(-35) + 70\/225. Which is the closest to g? (a) r (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*p - 57 + 57)*(-p + 3*p - 3*p)*(-5*p**3 + p**3 + 3*p**3).\nAnswer: -37*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bda12e + 0?\nAnswer: 1bda12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + 6*(-1 + sqrt(147)) + -5)**2 + -1 + 4 + 3*(sqrt(147) + (2*sqrt(147))**2 + -2).\nAnswer: -987*sqrt(3) + 7197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 2*y**4 - 3*y**4 + y**3 + 4 - y**2 + 4*y**4 - 7*y**3 in the form l*y**2 + q + v*y**3 + b*y**4 + n*y and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15260577 and 2482.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - l**2 + 2*l**2 + (-l - 8 + 8)*(-3*l + 6*l - l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1264 = -5*v + 58, -2986 = -5*o - 2*v. Let b = o + -359. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.22 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - (-8 - -20 - 12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 475 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11\/(77\/(-56))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = j, -16 = -c + j. Find the second derivative of -c*b**2 + 10 + 0 - 10 + 4*b wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1806265, 1806318, 1806373, 1806430, 1806489, 1806550, 1806613?\n\"Answer: q**2 + 50*q + 1806214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5022*p = 2578*p + 2548*p + 104 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 331, 668, 1031, 1432, 1883, 2396?\n\"Answer: 2*z**3 + z**2 + 320*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10885064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((42\/10)\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(221\/(-544))*(-19)\/1064*-154.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1\/6, 0.8, -0.02 in descending order.\nAnswer: 0.8, 1\/6, 0.06, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcdbaddbdca. What is prob of picking 1 c, 2 d, and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:02 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2246*x - 2247*x + 1 - 1. Let p(h) be the first derivative of 9\/2*h**2 - 17 + 0*h. Determine p(k(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*k**2)*(5 - 4 + 0) - k**2 - 3*k**2 + 3*k**2 - 2*k**2 + k**2 + 3*k**2 + 3*k**2 - 6*k**2 + 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z + 93 = -3*i, 0 = 5*z + 5. Let s(a) = -8*a**2 - 3*a - 3. Let m be s(-2). Is i at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4687 divided by 2.\nAnswer: -4687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862)*-1 + sqrt(38))\/(sqrt(50)*-4).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6558.\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131)\/(-19) + (-4 + 6 - 3)*7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = -4*v + 4*y, 3*v = 2*y - 17. Let p be 2\/v - 1762\/(-5). Let r = -4154 + 4186. Calculate the highest common factor of p and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and -57\/5182636.\nAnswer: 15547908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/3, -6.1, 4\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4436456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 7. Let h be f(6). Let j = 4 + h. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 1*sqrt(11).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.9 + 3.9. Put 2, -0.1, d, 0.1 in ascending order.\nAnswer: d, -0.1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 - (174 - (150 - 83))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4519, 4615, 4701, 4771, 4819, 4839?\nAnswer: 4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305*l**5*y**2 - 2*l**5 - 7*l**2*y**2 - 7*l**2*y - 2*y**2 wrt l.\nAnswer: -18300*l**2*y**2 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20571066 is divided by 1038?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80139, -160332, -240539, -320766, -401019, -481304, -561627, -641994?\n\"Answer: -n**3 - n**2 - 80183*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 8*v**2 - 6*v - 13. Let k be t(7). Calculate the remainder when 114 + 2\/6 + k\/24 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -8707522?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2 - 2 - w**2. Let g(x) = -3*x**2 - 3*x**2 + 8*x**2. Calculate y(g(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 462574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 162 + 162 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 4) to base 5.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411.182km in centimeters?\nAnswer: 741118200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 252, 528, 806, 1086?\n\"Answer: n**2 + 273*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x - 17*x - 24*x + 13*x in the form j*x + c and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + x + 1. Let r be b(-1). Suppose -16 = -6*v + 2*v. Suppose 0*t = 4*t + v, t - 23 = -r*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: 23 - 10 - (3 - -9) - (26 - (-6 - -5))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 775 + 254 + 262 + 259.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 + 15. Let x(z) = -z**2 + 1. Let d(g) = f(g) + 6*x(g). Determine d(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5830?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcycbmbvmmymmyb. Give prob of sequence ybcm.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15*q**3 - 2*q + 1. Let c be i(1). Suppose -3*l = 2*r + 317, 11*r - 12*r + 3*l - 181 = 0. What are the prime factors of (-4)\/c + r\/(-8) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-123879)\/(-61943) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695464218?\nAnswer: 2, 3, 4292989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.31 + 4.21. Do -6 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -227, -198, -173, -152?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaaj when four letters picked without replacement from nzzaanajaazzzjaan.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -42.085045?\nAnswer: 39.085045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - q**4)*(0 + 2*q + 0)*(2 - 2 + 1).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 + 145?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 9327*u - 9324 = 0.\nAnswer: -3108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5248 + 5248 + 32*u. Let a(l) be the third derivative of l**5\/30 + l**2. Give r(a(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 592442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1250336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 45 = -16*t. Let o = t + -4. Solve 12 = i - o*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.4084 millennia to years.\nAnswer: 118408.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -39. Is (-23543)\/(-117) - 2\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 2:05 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 33, 0.69, -5, 10, 0.01 in increasing order.\nAnswer: -5, 0.01, 0.1, 0.69, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4\/7, -1\/4, 4\/5.\nAnswer: -4\/7, -1\/4, 4\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -2741*a**5\/20 - a**4\/6 - 393*a**3\/2 - a**2\/2 - 3348*a. Find the second derivative of o(c) wrt c.\nAnswer: -16446*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**2 - 45*g. Let o(v) = v. What is -45*o(x) - p(x)?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.003 + -0.167. Let p = 0.93 - 0.7635. Let x = p + b. Round x to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4897584.32 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 - 9*s + 40. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14140 and 255227?\nAnswer: 5104540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006144 rounded to 6 dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108519\/48951 + 2\/(-27)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.119374 and -1.1?\nAnswer: 1.219374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 287*b + 520. What is r(-2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -39, -45, -41, -21, 21, 91, 195?\n\"Answer: w**3 - 4*w**2 - 5*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let i(t) = -t**2 + 15*t + 38. Let p be i(17). What is the nearest to 2\/3 in h, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/36)\/(4\/6). Which is the second biggest value? (a) 0.1 (b) 0.6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175 + 30927\/338)\/((-13)\/(-4))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*n - 33*n = -370*n - 24*n - 51402 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-3)\/12)*1. Suppose -d*c = -2*c. Solve 3*u + 8 = -q, -4*q = -c*q - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.159 and 125044.7.\nAnswer: 125044.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5073547670 rounded to the nearest one hundred thousand?\nAnswer: 5073500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Which is the nearest to -1? (a) 0.2 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k + 5*l - 11, k + 4*l - 8 = 0. Suppose 4*h - 2*r = -h - 4, 3*r = -h - 11. Sort h, 3, k, -1.\nAnswer: h, -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 + 359. Let o(b) be the first derivative of -5 - 3\/2*b**2 + i*b. What is o(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.023 - 8.423. Let p = s + 9. Let g = -2.6 + p. Which is the closest to -1? (a) -0.5 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 19\/15, 7\/4, 3.54?\nAnswer: 3.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19*o**2 + 22*o**2 - 38*o**2. Let x(s) = -5 + 5 + 2*s. Calculate x(q(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:10 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202321 - 11?\nAnswer: -202332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 43. Suppose 4*u = -4*x, -u + 1 + 17 = -5*x. Which is the second biggest value? (a) q (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l**2 - l - 2. Let a(d) = -24*d**2 - 4*d - 6. Let v(g) = -5*a(g) + 16*j(g). Let r(z) = -17*z**2 + 9*z - 4. What is -4*r(u) + 9*v(u)?\nAnswer: -4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 3*b + 3 - 12, -3*i + 13 = 4*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -6*(sqrt(95)*2 - sqrt(95)))\/(sqrt(20) + sqrt(40)\/sqrt(2)))**2.\nAnswer: 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554278637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -100, -282, -640, -1234, -2124, -3370, -5032?\nAnswer: -7170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -0.4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = -40*s - 52 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1\/1066 (c) -25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.5. Let k = -566 + 562. Which is the second smallest value? (a) -2 (b) k (c) 0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/23, -2, 2, 4\/23, -5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1780 + -1780.3. Let x = -93 - -104.16. Let a = x - 11. What is the second biggest value in r, a, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*r + 99*m*r - 123*r wrt m.\nAnswer: 2*m*r + 99*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3570201*o**4 - 5*o**2 - 30876901*o.\nAnswer: 42842412*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 96670636 divided by 1421627\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13468?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -9, -21, -39, -63, -93, -129?\n\"Answer: -3*i**2 + 3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96965457 to the power of 1\/2, to the nearest integer?\nAnswer: 9847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 65660 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35990, 71978, 107966, 143954, 179942, 215930?\nAnswer: 251918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.2271 to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 at most 302237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29, 5, 4, 25, -0.4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6092, 6178, 6264, 6350?\nAnswer: 6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2 + 108*w - 400 = 0?\nAnswer: 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/8 - 4. Let l = -6 - -10. Which is the closest to 0? (a) h (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535 times 2?\nAnswer: 7070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1694.008 and 1.5.\nAnswer: 2541.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zsccszzczszzs.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 r, and 1 y when four letters picked without replacement from crcrhrycryhryyra.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 35 - 14 - 12) + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in -1, 36\/7, 4.3, 6, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**2\/2 + 5*f + 4. Let l(y) = -y - 4. Let p(a) = -6*a**3 + a**2 - 1. Let g be p(-1). Give g*j(s) + 7*l(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from eciuscx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22159499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42472498.\nAnswer: 2, 21236249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9089*z - 312 = 9167*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278643281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24895841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5096\/31959?\nAnswer: -5096\/31959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -282, -305, -344, -405, -494?\n\"Answer: -c**3 - 2*c**2 - 10*c - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 390536.9 millilitres?\nAnswer: 390.5369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146\/21 + -20\/3. Let l be 0 - (20\/(-8) + 1). Let r = 0.44 - 0.4. Which is the second biggest value? (a) n (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -63, -108, -161, -222, -291?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13204 + -10133124?\nAnswer: -10114420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 171. Let p(i) be the third derivative of 3\/7*i**3 - 5*i**y + 0 + 1\/210*i**5 - 1\/14*i**4 + 0*i. Factor p(b).\nAnswer: 2*(b - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336262*k + 336126*k + 336127*k - 1008402*k.\nAnswer: 113*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 534.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.592 - 22.592. Which is the closest to 35? (a) 51\/4 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*i - 53, -i + 82 = 4*i - s. Suppose 5*f = -z + 14, 2*z + 16 = 3*f - 21. Let c = z + i. What is the smallest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0 + 0*f**6 - 1\/60*f**5 + 0*f + 0*f**7 + 8*f**2 + 0*f**3 + 0*f**4 - 17\/336*f**8. Find the third derivative of j(q) wrt q.\nAnswer: -1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -18)*(-160)\/60*(-51)\/(-136)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleeelel. What is prob of sequence eeee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(-8\/3))**(-2) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11243 (base 6) in base 2?\nAnswer: -11001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -42. Let s be 80 + (0 - (1\/x - 1)). Round s to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from {i: 3, y: 9, r: 7}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 12:19 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4771034539 to the power of 1\/3, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 6. Let w be r(6). Let n(y) = y - 3. Let m be n(w). Let i(l) = -l**2. Let q be i(0). Solve q = m*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/9 - 34*p**2\/9 + 160*p\/9 - 56\/3 = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.516?\nAnswer: -3.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92.549 and -5?\nAnswer: 97.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*b - 7*b - 5*b + 208 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-5395)\/(-560)) + (760\/28)\/(-19).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 246\/18 + 1\/3. Let m be (a\/(-7))\/(2\/(-3)). Solve 2*s - m = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4886 - 5627. Is -744 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 266*y**2 - 116*y + 22. What are the prime factors of d(5)?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s + 2. Let x(h) = 6*h**3 + 13*h - 13. Let t = 41 + -80. Determine t*a(q) - 6*x(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 2*i**2 - 1. Let j be l(-1). Suppose -4*f - 28 + 166 = 2*h, 114 = j*f - 2*h. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(273\/(-234)*4\/14). Let y be (-36)\/(-20) + 1\/5. Let h(x) = 4 - 4*x**2 - x**3 + 9*x**3 - 7*x**3 - y*x**3 + x. Determine h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290310 = -9693*i + 9723*i. Does 226 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-1)\/2 + 0). Let c = 4 - 0. Determine y so that -n*y**c - 9\/2*y**2 + 5\/2*y**3 - 1 + 7\/2*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13cc (base 13) in base 10?\nAnswer: -2872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w - 2*w**3 - 10229690 + 10229690.\nAnswer: -2*w**3 + 42*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 9*i - 32. Let g be w(4). Let m = 79 + g. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 186*q - 4204 = -246*q + 2358 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3226)\/4 + 4\/(-8). Let a = -477 - k. What is a rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -4?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-23845)\/38. Let z be ((-6)\/8)\/3 + s\/(-76). Suppose 0 = -4*m - z + 44. Calculate the lowest common multiple of m and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + w**3 - 3*w**3)*(1 - 1 - w) + 4*w**4 + w**4 - w**4 + (3 - 3 + 2)*(2*w**4 + w**4 + 2*w**4 + (1 - 2 + 0)*(-w**4 + 0*w + 0*w) + w**4 + 1 + 5 - 5).\nAnswer: 21*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -81. Find the second derivative of -47*u + 24*u + 0*u**3 + o*u**3 + 12*u wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427021 (base 11) in base 9?\nAnswer: -1250585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.5252 * -0.5\nAnswer: 1.2626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350977 + 351438.462. Let k = s + -460. Let j = 1.4 - k. What is j rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5595 or -162222\/29?\nAnswer: -162222\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 7. Let x = 2 + -2.4. What is the third biggest value in k, -3\/2, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -d - 4*d - 388, -r - 4 = 0. Let y be (-224)\/d - 3*1. Which is the smallest value? (a) 3 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3 - (7\/1 - 6). Solve 2*l - 14 + b = -c, c - 3*l = -13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.78 and 0.6407.\nAnswer: -0.499746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/6 + 2*d - 22. Let j(t) = -49*t. Determine c(j(o)).\nAnswer: -49*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 322330230?\nAnswer: -322330300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a - 3 = 0. Let s = a - -22. Let y(r) = r**3 + 99*r**2 - 78*r + 2214. Let j be y(-100). What is the greatest common factor of j and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 20.8. Let m = c + 2. What is the second biggest value in m, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954579 bigger than 29863733\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-25 - -21) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67794.\nAnswer: 2, 3, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.69 - 23.31. Let c = 11.8 - -37.9. Let z = c - 50. Sort z, 3\/5, l in ascending order.\nAnswer: l, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 755*d - 21742. What is h(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458962*o**4 + 6*o - 70842 wrt o.\nAnswer: 5507544*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -24, 1, -25, 80, -3 in increasing order.\nAnswer: -25, -24, -3, 1, 3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 + 2*l**2)*(-108 - 7915*l + 7914*l - 15).\nAnswer: 2*l**3 + 246*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 507\/16, -0.2, -195.\nAnswer: -195, -0.2, 507\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d + 5. Let n(x) = x - 1. Let c = -175 + 100. Let f be 3\/5 + -6*5\/c. What is f*s(u) + 5*n(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.2 + -76.2. What is the nearest to v in -0.7, 1\/2, 1, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 77*s**4 - 169*s**3 + 857*s**2 + 984*s - 2844.\nAnswer: (s - 79)*(s - 2)**2*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2251 + 2294. What is the smallest value in 1, l, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646 by 24.\nAnswer: 323\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 7*t**2 - 5*t. Suppose y - 9 = -2*y. Let d = y + -7. Let b be 2\/d - (-26)\/4. What is a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 2.\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 10321022234?\nAnswer: -10321022244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 5.1. Let p = 118 - 118.2. Which is the second smallest value? (a) -2\/7 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -132. Let j be (356\/(-4) + 0 + v)*6. Round j to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 326853 = -5*s - 326841, -24 = 4*s + 5*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 38 (b) -4\/3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/2 + a**2 - a - 11. Let i be r(1). What is the common denominator of 15\/(-54) + i + -4 and 52\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 2. Let t be w(-3). Let n be t\/(-70)*5\/(-4). Is 0 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - f - 2*f**5 + 3*f + (-f**3 + f**3 + 2*f**4)*(-2*f + 2 - 2).\nAnswer: -6*f**5 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4123 + 3.\nAnswer: -4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6484 is divided by 3223.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7337 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b = 0. Suppose 2*g = -3*o + 5, -8 = 5*o - g + 1. Let h be o*(-1 - 0\/(-4)). Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 62*f + 39. What is the remainder when 102 is divided by b(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**5 - 4*v**5 + 3*v**5)*(-1 + 3 + 0)*(-2 - 3 + 7 + (2 + 0 - 1)*(0 + 4 - 2))*(2 + 31 + 31).\nAnswer: 1024*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*(-8)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(293*j**5 - 2*j**4 - 292*j**5 - 7*j**4).\nAnswer: -j**5 + 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 675627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*z + 20 = 0, k + 3*z = -10 + 24. Suppose 4*a - 7*d - 37 = -k*d, 5*a - 44 = 4*d. What is the smallest common multiple of 60\/9*6\/4 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j**(1\/5)\/j*j*(j\/(j**(-3\/4)*j)*j)\/j**5)\/((j**(1\/2)\/(j\/(j\/(j*j**(-1\/6)))*j*j))\/((j**(-4)*j)\/(j\/(j\/j**(-1)*j)))) assuming j is positive.\nAnswer: j**(-103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let p be -2 + -1*(1 - 2). Let x(l) = 3*l**2 - 14*l - 3. Let y be x(0). Let c(j) = 2*j**2 - 4*j + 2. Give p*c(k) + y*a(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = -4*b - 5*w, 2*b = 4*w - 9*w - 128. Let j = -16 - b. Suppose 41*q - 24 = j*q. Solve 0 = x - 10 + q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20489 - (-14 + (-14 - -10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7797922 hours?\nAnswer: 46.787532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 81*w - 828.\nAnswer: -(w - 69)*(w - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 76 - 278 = 0. Let u = 601\/3 - x. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 3 + 1 - i. Suppose -10*z = -z - 36. Suppose -2*h + z*k - 21 = -k, 0 = -2*h - 4*k + 6. What is b(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 11*b - 27. Let s be w(5). Suppose s*k = -3780 - 6. What is k rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by -8 + (6 - 3) - 100\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 10*h**2 + 7*h + 9. Let s be k(3). Calculate the highest common factor of 160 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10368 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -36.75. Let b = 0.35 - s. Sort -1, b, 3, 0 in decreasing order.\nAnswer: 3, b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -753 or -746?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*a - 12 = 0, -5*b + 6*a + 34 = -9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 404362 * 0.1\nAnswer: 40436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 198)*2\/1. Suppose -p - b = -74. What is the tens digit of p\/(-12) - (-2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(12) + sqrt(48)))\/(sqrt(242) + sqrt(242)*3) + -2.\nAnswer: -2 + sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-275)\/(-45))\/5 - (-4)\/(-18). Is 1364 - (-1 + u + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:26 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29520882 by -27.\nAnswer: 1093366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 12, j: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 47*t**3 + 9*t**2.\nAnswer: -47*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 3) + 5\/(-50)*29. Which is the third smallest value? (a) -3 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27235 from -3.22.\nAnswer: -27238.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 41 + 14 = -6*t - 6*g, 78*t - 82*t - 4*g = -8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 703, 1405, 2107, 2809?\n\"Answer: 702*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429045 >= -139\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9239*n*z + 1014*n - 415*z - 22594 with respect to n.\nAnswer: -9239*z + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1265 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.9409521 + 1.7?\nAnswer: 225.6409521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 2. Let l(k) be the third derivative of k**4\/12 + k**3\/6 - 612*k**2. Calculate -7*l(u) + 3*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-7 - -6) + 22 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r - 6. Suppose -3*n - 5*v + 19 = 0, 5*v = 3*v + 4. Is x(n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 22760.\nAnswer: -1\/4552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/120*16\/2*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235014 and 2760?\nAnswer: 4700280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-123)*(-48)\/36.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781180 is divided by 610?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*k + j, 0 = -3*k - 0*k + j - 2. Solve 0 = 3*i - k*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {a: 1, w: 2, h: 1, s: 1, o: 1, c: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -519211848 by 4.\nAnswer: -129802962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 + 485. Let q = o + -306. Which is the nearest to -28? (a) 0.5 (b) q (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/16 + b**3\/2 + 135*b**2\/8 - 193*b. Solve j(u) = 0.\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 2*i - 10. Let y be q(-5). Let r be (-180)\/y*5\/(-2). What is the first derivative of -r - 2 - 1 + 4 + 5*v**3 wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(4 - 10 - -1). Suppose g = -2*o - 4*o + 636. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342 - 5?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4668721.9 less than 16884?\nAnswer: 4685605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 27. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/9, 8\/7, -2, -2\/3.\nAnswer: -2, -2\/3, -1\/9, 8\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1672*f**3*j*w**2 - f**3*w + 47*f**3 + 7*f**2*j*w - f**2*j - f*j*w**2 wrt w?\nAnswer: 3344*f**3*j - 2*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -128. Let l be (-1222)\/(-2002) - 3\/y. Which is the second smallest value? (a) l (b) 1 (c) 0 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 50. Let p be 2\/(-4)*o\/(-1). Which is bigger: p or -31?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172097 + 15694*j**3 + 172097 - 15697*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -92\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**2 - 11*k + 11*k)*(59 - 59 - 7*k**2) + (2*k + 3*k + 12*k)*(-4*k**2 + 4*k**2 + k**3).\nAnswer: -39*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(432) + -5.\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456221 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - i = -47, 0 = 2*i - 7*i - 15. Let p(g) = g**3 - 8*g**2 - 20*g + 5. Give p(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -113*o**6\/30 - o**5\/2 + o**3\/3 + 10*o**2. What is the third derivative of g(t) wrt t?\nAnswer: -2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*b + 4 = 0, -1 - 4 = 5*b. Let s be 552\/5 - (-8)\/(-20). Let p = s + -1431\/13. Is c at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 67. Let u be k(-8). Let j = 191 + u. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 12, 5*z - 500 = 4*f - 68. Suppose -5*g = -g - z. Let o = -22 + g. Put 5, o, -5 in decreasing order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005564 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258373 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27981, 27979, 27977, 27975, 27973?\nAnswer: 27971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 9 = 3*y, 3*u - 6*u + 3*y = 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2586 or -2587?\nAnswer: -2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.1, -2\/5, 0.4, 2.8, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*w - 762 = 2924, 5*l - 9197 = -4*w. What is the highest common divisor of l and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -93. Let z(o) be the first derivative of -1 + r*o**2 + 0*o + o**4 - 1\/3*o**3. Find the third derivative of z(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 777061\nAnswer: 3\/777061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 9. Let j be b(-11). Suppose -j*p - 10 = 2*u, 2 = 3*p - u + 9. Let c(q) = 6*q**2 + 5*q - 7. Does 21 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001603607 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 100899?\nAnswer: -30269.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5\/23 (c) -1 (d) -10 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06828 - 0.069002. Round b to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -3\/10 (c) -59 (d) -7\/8 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.52 + -10. Let y = 0.09 + f. What is y rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2. Suppose -3*v - 2*y - 2 = -v, 3*v - y - 1 = 0. Let u(z) = 2 + v - 2 - z. Calculate u(a(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1705.7 + -1706. Let m = 2 + -1. Which is the second biggest value? (a) k (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7519?\nAnswer: 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -112739.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/37)\/a*a**(-1) assuming a is positive.\nAnswer: a**(-72\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 49 = 3 + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -102. Calculate the remainder when 11 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**9\/15120 + y**7\/840 + y**5\/60 - y**2. Let o(b) be the third derivative of p(b). Find the second derivative of o(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 595 = -4*m + 631, 34 = 2*u - 2*m for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*h + 2, 19 = q + 2*q + 4*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 - -52. Let g = j + 164. What is the least common multiple of 12 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7901 smaller than -8409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 + -3.5. Let a = u - 2.6. Is a >= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18\/419, -0.2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 7 = -6*n + 15, 5*c = 4*n - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 + 974*t**2 + 7888*t + 15840 = 0 for t.\nAnswer: -4, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5455a - -58?\nAnswer: -54502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 84 - 87 + 15*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 4*h - 4. Let r be k(4). Let y(t) = -1 - 7*t - 2*t**2 + 3*t**2 + 4. Calculate the remainder when y(r) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - 11*w**4\/24 - w**3\/3 - 69*w**2. Calculate q(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -0*k. Suppose -k*b - 3 = -0. Is 14 a factor of 111\/4 - b\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 101, 112, 123?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 1. Let q = 1747 - 1748. Let h(y) = -2. Determine q*h(d) - i(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6963083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136409163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025034 divided by -17673.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1769798469 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 457 - 288. Let s be 2\/9 - r\/(-9). Solve 4*p + 3*b - s = 0, 3*b - 1 = p - 2*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:58 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.8942 millilitres in litres?\nAnswer: 0.7618942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32279, 64536, 96793, 129050?\nAnswer: 161307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5563 - 2752. Let x = j + -1644. Let y = 303 + x. What is y rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + (51 - 120) + 40\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7723987472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in 5, -0.5, -170113?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 2, -2, -4.36, 13\/6, -5?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(272))**2 + ((-2 + sqrt(2057))*-6)**2.\nAnswer: -1584*sqrt(17) + 74471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -9, 2, 1 in descending order.\nAnswer: 22, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1109 - 16*c - 58*c**5 - 1109 wrt c.\nAnswer: -1160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313280000 to the nearest one million.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241091987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 550, 1\/2, 0.2, -3137, 2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*s = -400*s + 958*s + 3240 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2 + 6*z - 3. Let f(d) be the third derivative of 2*d**5\/15 + d**4\/4 - 2*d**3\/3 - 23*d**2. Let w(m) = -6*f(m) + 7*j(m). Calculate w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.15 (b) -2\/7 (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2658 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 15186*b = 15188*b + 3, 2*a - 2*b + 12 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -22. What is the nearest to -4 in r, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 382?\nAnswer: 37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + -c1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 362739? (a) 5 (b) 4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 9. Let o be h(7). Let j = 54 + o. Suppose 0 = 2*c + c - j. Solve 2*g = 4*d - 3*g + 11, -3*d - c = -4*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-16)*0 - -142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(80\/84)*-15*40\/16800.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 - 4*b + 1. Let y be i(5). What is the third derivative of 14*f**2 - 15*f**5 + 112*f**5 + y*f**2 wrt f?\nAnswer: 5820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83031 is divided by 41457.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63555 - 14057?\nAnswer: -77634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140443501 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 4*z + 2. Let c be h(-2). Suppose -j = -w - 229, 3*w + j + 681 = -c*j. What is the tens digit of -5*(4 + w\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**3 + u**2 - 9*u**3 + 36*u - 35*u to the form a*u**3 + o*u + l + b*u**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 30. Calculate l(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -761953.8172 + -0.04\nAnswer: -761953.8572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and 2.3.\nAnswer: 140.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((0 + sqrt(847))*-2 - sqrt(847) - (sqrt(847) + 0)*-1) + 3)**2.\nAnswer: -132*sqrt(7) + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7336, -7337, -7338, -7339?\n\"Answer: -c - 7335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -1058, -1583, -2106, -2627?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158830644?\nAnswer: 2, 3, 7, 491, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9034*r**5 - 557*r**2 + 36*r wrt r?\nAnswer: 542040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (134 - 134 + 10*j)*(0 + 3*j + 0)*(95*j - 93*j - 9 - 2) as t*j**3 + r*j**2 + n + f*j and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 427, 421, 413, 403, 391, 377?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*j = 157*j - 3*b - 17, -4*b = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9550 and 130.\nAnswer: 124150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 11312 = 22*v + 3872. Suppose -141 = -2*a - a. What is the remainder when v is divided by a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 7*n**4\/2 + 18*n + 9. Differentiate u(r) with respect to r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 3*f**2 - 2*f + 1. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose b - 5*t + 12 = 0, 1 = -3*b + 4*t + 9. Calculate the lowest common multiple of j and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727900.\nAnswer: 2, 5, 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 14c2?\nAnswer: -14d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(40\/(-16))\/(-9 - 1). Solve -6*l + m*l - 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12867.0000023016 - 12867. What is l rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 12. Let z(m) = 6*m + 60. Let f(o) = -22*b(o) + 4*z(o). Let t(u) = u - 12. Let s(g) = 4*f(g) - 9*t(g). Calculate s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(838\/(-76) + 11). Calculate the highest common divisor of h and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((65\/(-3))\/(-5))\/(7\/(-63)). Let z = 61 + a. Calculate the smallest common multiple of z and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -12. Let m be ((-2)\/t)\/(1\/2). Let c be ((-4)\/(-3))\/((-12)\/18). Are m and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(((-408)\/16)\/17*(-15)\/(-45))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = n - 12, -4*y - 3 - 9 = -5*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a - 1. Let i(v) = 14*v + 2. Determine 17*b(j) + 6*i(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (6 + (19 - -16)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57\/85 - 316\/1105. Let f = 1 - 1. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/6 - 2\/6. Let b(a) = -8*a**2 - 12*a**q + 12*a**2. Let g(u) = -3*u**2. Give b(g(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 29*i**2 - 9*i - 39. Calculate the remainder when f(-12) is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**6)\/l)\/l**(-5\/4)*l\/(l*l*l**(-2\/3)\/l)*l**(-3))**9 assuming l is positive.\nAnswer: l**(-255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2119 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -107. Let y = 64\/3 - 21. Find q such that l + 1\/3*q**4 + 0*q + y*q**3 - 2\/3*q**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44442655.6 less than 4.048?\nAnswer: 44442659.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7275761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488 and 1728.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -991.9 plus -0.04?\nAnswer: -991.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 138248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -178 divided by 3\nAnswer: -178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/2568 and -53\/856.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 307441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5441, -5438, -5435, -5432?\n\"Answer: 3*w - 5444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:57 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4695*r - 5196*r + 2241*r.\nAnswer: -7650*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, y: 3, r: 1, d: 2}. What is prob of picking 1 h and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 5*h**2 - 4*h - 4. Let u be z(5). Suppose -5*v = -5*d - 365, -2*v - 77 = -d - u. Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/((-116)\/(-145))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 3. Let i(x) = 28*x + 26. Calculate 52*h(m) + 6*i(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 40662 = 40688. What is the nearest to c in -1, -5, -1\/3, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/2992130 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 765?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-2*sqrt(1078) + sqrt(1078)) - sqrt(1078) - sqrt(1078) - 1*sqrt(1078)*-4)\/(5*sqrt(16)\/sqrt(8) - -5*sqrt(128)))**2.\nAnswer: 539\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 750 and 57.\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*g = 2, 0*g - g = 3*b + 32. Let f be (-4)\/6 - 51\/b. What is the third derivative of -4*a**2 - a**3 - a**3 + f*a**2 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11516450*d**2 + 279237*d + 5.\nAnswer: -23032900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:53 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0, 38.37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*a + 35409 = 31*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k - 219. Let v(b) = 501*b**2. Calculate j(v(y)).\nAnswer: -5511*y**2 - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-480)\/128?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 529, 474, 395, 286, 141, -46, -281?\n\"Answer: -m**3 - 6*m**2 - 30*m + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/28 + (4 - 0).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.498*95.278\nAnswer: 142.726444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o + 1. Let z be q(1). Suppose 0 = 3*u - 4*u + z. Let g = -12 + u. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89340203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459 divided by 18413.\nAnswer: -1459\/18413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 34. Let s(j) = 30*j - 65. Give 13*f(h) - 7*s(h).\nAnswer: -2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 467 - 3*i**3 - 454 - i**4 + 2*i + 2*i**3 to v*i**4 + q*i**3 + u + f*i + a*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-133))\/(3417\/(-119))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - 12. List the prime factors of (1 - -2)*56\/n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.93 + -0.07. Let j = -38 - -22. Let d = 2.1057 - 1.7057. What is the second smallest value in j, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3389542 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 30 - 12*p + 54 in the form j + s*p and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - 3*g**2 + 6*g**2)*(2*g**2 + 2*g**3 - 2*g**2) + (2*g**4 + g**4 - g**4)*(-9*g - 5*g + g) - g**5 + g + 11*g**4 - 11*g**4 + 4*g**3.\nAnswer: -29*g**5 + 4*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57386 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5207, 10484, 15865, 21356, 26963, 32692?\nAnswer: 38549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + 7*z**3\/6 + 3*z**2\/2 - 2*z. Let y be l(-6). Let s be ((-2)\/y)\/((-1)\/(-3)). Solve -s*r + 15 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/96)\/((-5)\/(-15)). Which is the smallest value? (a) -5 (b) 2 (c) i (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 2, a: 1, y: 2}. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 410772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8376, 8373, 8366, 8355, 8340?\nAnswer: 8321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/7 (b) 0.1 (c) -4 (d) 1211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**4 + 448*k**3 + 924*k**2 - 1368*k = 0.\nAnswer: -3, 0, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -12, -4 in ascending order.\nAnswer: -12, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -32*c + 35109. What is the remainder when c is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60853025?\nAnswer: 5, 227, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/44 (b) -1\/5 (c) 2\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 0 - (1 - (-5 + 5)). Solve 0 = 3*q + 2*r + 2*r, m = 4*q - 4*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/2 - 11. Which is the third smallest value? (a) 4 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3366)\/561*(-49)\/(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11100 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 323\/182 - 24\/13. Let j = -0.42 + 0.02. Let m = 0.3 + j. What is the biggest value in m, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956501 to the power of 1\/2, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(132)*2*-5 - 6*sqrt(132)*1)\/(sqrt(12) - (sqrt(12) + -3*(sqrt(12) - (sqrt(108) + sqrt(12)))) - (sqrt(12) - -3*(sqrt(12) - sqrt(12)*-2))).\nAnswer: 16*sqrt(11)\/19 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -43\/4, -337, 3, 4, -1\/11 in decreasing order.\nAnswer: 4, 3, 2, -1\/11, -43\/4, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Let b(m) = s + 3*m - 4. Let o(t) = 7*t - 4. Let q(x) = -5*x + 3. Let a(g) = -3*o(g) - 4*q(g). Determine a(b(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 637709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + 21 + -8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2035)\/3108 - 14\/147?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42638, 42391, 42144?\n\"Answer: -247*b + 42885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*i**3 + 732*i**3 - 1482*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10028991 rounded to the nearest 100000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 60*f + 16. Let r(m) = 2*m**2 + 110*m - 32. Let y(o) = -11*a(o) - 6*r(o). Calculate y(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 - 114*l**2 + 507*l - 396 = 0. What is l?\nAnswer: 1, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-8) - 272\/(-260)*12. Let r = 72\/5 - d. What is the closest to 7 in 0.5, r, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -24.5 (b) -85 (c) 16 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 155555.68 and 1.\nAnswer: 155556.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3361 - -3364. Let g(x) be the second derivative of -1\/48*x**l - 26*x + 0*x**2 + 1\/160*x**5 + 0*x**4 + 0. Factor g(y).\nAnswer: y*(y - 1)*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 6*z**2 + 0*z**2 to the form n*z**2 + y + x*z and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - -1 - -1*50\/(-10). Let c(u) = -3 - u + 0*u + 7. What is c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.3 or 24098.1?\nAnswer: 24098.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12307 * -4.\nAnswer: 49228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -12. Let i be (3 - 1) + -4 + 5. Suppose i*o = -0*o. Put -1, o, u in ascending order.\nAnswer: -1, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k. Let j(m) = -3*m - 2. Suppose 3*u - 9 = 12. Let y(t) = 6*t + 3*t + 2 + 4*t + u. Let p(s) = 9*j(s) + 2*y(s). What is p(v(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -51. Differentiate -31 + 3 + c + 26*h**3 with respect to h.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -3.01. Which is the second biggest value? (a) -4 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 134. Suppose -k*l + 68*l = -624. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let j(y) = -12 - 9 - 4*y - 4 - 8 - 18 + 53. Determine j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -12*m**2 - 15*m + 5. Let b(c) = -12*c**2 - 19*c + 6. Let z(w) = 5*b(w) - 6*o(w). Let x(i) = 11*i**2 - 4*i. Determine -4*x(h) + 3*z(h).\nAnswer: -8*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-2))\/((-131)\/((-7860)\/(-7650)))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 748 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-5 - -1))\/2. Let m = -5 - -3. Let n be (1\/(-6))\/(4\/12). Which is the nearest to u? (a) m (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1234 = -3*a, 4*y - 2512 = -2*a + 7*a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2818 times -0.3?\nAnswer: 845.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50649, 205424, 464323, 827346, 1294493?\nAnswer: 1865764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 101, 282, 577, 1010, 1605, 2386?\n\"Answer: 4*a**3 + 21*a**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*d - 99, 117 = 4*x - 3*d - 0*d. Suppose 0 = 2*u - 14 - 22. What is the highest common factor of x and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*(d*d**(1\/7)*d)\/d*d)**48\/((d**(-6\/5)\/d**1)\/(d**1)**(-19)) assuming d is positive.\nAnswer: d**(-8748\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -1, 0, -828, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 3. Let s(u) = u**3 + 5*u**2 - 6*u + 2. Let o be s(-6). Suppose 0 = -2*i + 5*i - 12, -5 = v - o*i. Calculate w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*y + 36*y**2 + 124*y - 3164*y**2 to w*y + i*y**2 + p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -110*k**3 - 329*k**2 + 7*k + 3. What is n(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Rearrange (-32*p - 10*p - 9*p)*(-5*p + 2*p + p)*(-4*p - 3*p + 6*p) to m + v*p**3 + a*p**2 + d*p and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xllg when four letters picked without replacement from ggugsgglslutxgg?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/5 + 11*w**4 - 159*w**3\/5 + 157*w**2\/5 - 52*w\/5 = 0. Calculate w.\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {s: 2, i: 2, m: 2, g: 1, r: 3, o: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/5 + 624*h**2 + 6246*h\/5 + 3124\/5 = 0.\nAnswer: -1, 1562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*i + 5. Let p = -4 - -7. Suppose 11 = -2*y + p. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t, -17 - 17 = -k - 5*t. Let w(a) = 37*a + k*a - 30*a. Let g(l) = l. Calculate g(w(y)).\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(1*sqrt(396) + -1) - (2*sqrt(396) + sqrt(396))*6*-6) + -2.\nAnswer: -3672*sqrt(11) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.15461 times -0.4?\nAnswer: 74.461844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132680, 132815, 132956, 133103, 133256?\n\"Answer: 3*u**2 + 126*u + 132551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 39*p = 175*p - 8790 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 - 5*y**2 - y - 2. What are the prime factors of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 12) + -29 + 1 + 36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**2 - 125*x**2 + 91*x**2 - 31*x - 107*x.\nAnswer: 3*x**2 - 138*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 - 7*x**4 + 7*x**4 - 2*x - 4*x**5 wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -748 + 684. Let b = -63.7455 - t. Round b to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*k - 107. Suppose 6*i + k = 9*i. Let w = i - 19. Let s(z) = -z**2 + 2*z + 2. Give s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*y - 4*y + 1)*(y**2 + 0*y**2 + 5 - 2*y**2) to the form d*y**3 + c + s*y + t*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 4, 599, -3 in descending order.\nAnswer: 599, 4, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 696104875 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:13 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 3, -2, -4, 0.1, -47, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139.1 plus 1275.9379?\nAnswer: -1863.1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 21436, -23 in increasing order.\nAnswer: -23, 24, 21436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 - 5*o + o + 10*o**4 - 2*o**4 - 3*o**4 + 3*o - 3*o**2 to q*o**3 + c*o + w*o**2 + r + a*o**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/45)\/((-1)\/5). Let w = 95.3 - 87. Let y = w - 8. What is the nearest to n in -4, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1479 in 0.4, 134, 0.17, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 767, 1323, 2091, 3065, 4239?\nAnswer: 5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 2*o**5 - o**4 + (3*o - 4*o + 3*o)*(4*o**4 + 0*o**4 - 3*o**4) + 87*o**2 - 5*o**3 - 87*o**2 + 3*o**5)*(-8 + 0 - 7).\nAnswer: -105*o**5 + 75*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from xxg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8274005 - (10\/25 + (-108)\/20). Round o to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhdyyhynyyhxhyyn. What is prob of sequence hxhy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -657\/227 = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) - (-1617)\/2. Let a = q + -539. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14802223.5us in days?\nAnswer: 0.00017132203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwp when three letters picked without replacement from wpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8*(-3)\/1. Let z = 2.8 + -2.6. Let l = -127\/3 + 43. Which is the closest to l? (a) -0.4 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -2.9. Let y = -73\/3 - -24. Which is the closest to -0.06? (a) r (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/970 and -71\/380?\nAnswer: 36860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 + 15.65. Let r = p + -15.50444. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 110, 190\/107, -0.8, 5?\nAnswer: 190\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 453*t**3 + 1266833 - 1266833 + 716*t**2 + 94*t**4 + t**5 + 356*t = 0.\nAnswer: -89, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*(1 - 1 + 1) - 2 + 2 + l + 3*l + l - 2*l - 4*l + 4*l - 18*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2471\/4307 + -29\/59. Which is the smallest value? (a) -2 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let f(n) = -1 - 5*n + 0*n + 1. Give j(f(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25*i + 2. Let v(o) = 2576*o - 207. Give -207*r(j) - 2*v(j).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/((-88)\/599). Let f = -30\/11 - d. What is the common denominator of -137\/12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/(a\/(a\/(a**(-2)\/a))*a))\/(a*a**(-18\/7)*a*a*a**7) assuming a is positive.\nAnswer: a**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*6*(-2*sqrt(85) + sqrt(85))*-4)\/(((sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(2))\/(sqrt(2) + sqrt(128))))**2*-5.\nAnswer: -24786000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -86329 bigger than -86328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74172 - 94?\nAnswer: 74078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1937, 1932, 1925, 1916, 1905, 1892?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1622368 and 1760.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992 > 7417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -242147, -242182, -242217, -242252?\n\"Answer: -35*k - 242112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549573 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/7 (b) 1\/107 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/2 - 236*j**3 + 1182*j + 2127. What is the first derivative of i(g) wrt g?\nAnswer: -6*g**2 - 1416*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 24. Is c a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422014?\nAnswer: 2, 41, 53927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13113643 (base 7) to base 2\nAnswer: 100100100001111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = t. What is the least common multiple of 9 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18312\/19838)\/(3\/13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 16 = -8*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i - 8 = 0. Suppose 60 = -226*t + 246*t. Solve -7 = i*w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from {n: 3, c: 6, k: 2, h: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwfw when four letters picked without replacement from fwiqwiwziiw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -83*k**2 - 2*k + 1. Let r(c) = -17*c**2 + 43*c**2 - 2 + c + 56*c**2. Let w(j) = 3*r(j) + 4*y(j). Find the second derivative of w(m) wrt m.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(2736) + sqrt(2736) - -1*(0 + sqrt(2736) + sqrt(2736) + sqrt(2736)).\nAnswer: 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 18*b - 45. Let o(q) = -11*q**2 - 33*q + 89. Let r(i) = -7*d(i) - 3*o(i). Let j be r(-15). Solve -j*s - 5 = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9 + 125.9. Let p = -118.94 + k. Put 3, -2, p in descending order.\nAnswer: 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2991922 by 154.\nAnswer: 1495961\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50089\/5 - 10018. Let s = -0.23 - 0.07. Let t = s - -1.3. Put 4, t, y, 0.3 in decreasing order.\nAnswer: 4, t, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*k - 5*k + 330, -k + 5*l = -171. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i = 59*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k + 186. Let m be y(-12). Is m less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1032 or 2229?\nAnswer: 1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:44 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 2. Let i = 221 - 223. Determine y(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 20880?\nAnswer: 480240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2353*o - 148248. Determine v(63).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600635231.\nAnswer: 3, 13, 13680643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 784, 5, 11 in decreasing order.\nAnswer: 784, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*x - 2 + 2 = 0, 4*o = -x. Solve o = 13*k - 14*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 5. Let a(b) = -b + 1. Let y(d) = -5*a(d) + s(d). Let w(o) = -5*o. Let q be w(1). Let p be y(q). Sort -7, p, 3\/7 in increasing order.\nAnswer: -7, p, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 2:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6515629.49 to the nearest one thousand.\nAnswer: 6516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 296352 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12 and 868416797635.\nAnswer: 868416797634.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 4 = 0. Let c(s) = 2*s - s + z - 6*s. Let n be (-1)\/(-2) - 10\/(-4). Give c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8 and -21\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 77*i**2. Let l(s) = -9*s**2. Let j be 16\/10*(-1470)\/(-56). What is j*l(v) + 5*d(v)?\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/(-10209)*-41*((-12)\/(4\/1))\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312 + 312310?\nAnswer: 223332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 - 2930.87\nAnswer: -2930.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - -3. Let r = -25 + s. Suppose -r*v = -29*v + 36. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 z when four letters picked without replacement from qnzqzn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**4)\/j*j)**(2\/19)*(j*j**(-7))\/j**1)**(11\/6))**(-20) assuming j is positive.\nAnswer: j**(15290\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 2*u + 3. Let s be (10\/(-15))\/(2\/15). Give m(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1128?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**3*t)\/t)\/t**(-1\/6))\/(t\/((t**(-5\/2)*t)\/t)*(t\/t**7)\/t))**(-42))**(-3\/10) assuming t is positive.\nAnswer: t**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161053 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) 3 (c) 3\/2344 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9547936 by -596746.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147\/17 or 67453.6?\nAnswer: 147\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1508, -5648, -12540, -22178, -34556, -49668, -67508?\nAnswer: -88070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 8:53 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 - 135. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 95*s**2 + s + 2. What is the tens digit of m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86800.46 microseconds?\nAnswer: 86800460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13864962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288641 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) - sqrt(11))**2 + 3 + (sqrt(11) - (sqrt(99) - sqrt(99)*2)).\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401634 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 232128\/1819 - 366\/1819. Factor -114\/17*l**2 - 2\/17*l**3 - 13718\/17 - d*l.\nAnswer: -2*(l + 19)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 28. Let a be d(-6). Calculate the common denominator of (-2)\/(-34) - a\/(-8) and -9\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.97 * 17\nAnswer: 50.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b44891 (base 12) in base 5?\nAnswer: 1211001034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -279310046*0.2\nAnswer: -55862009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585*5.\nAnswer: -2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 230?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -0.2179?\nAnswer: -41.2179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjvv when four letters picked without replacement from jjvrrvvvjjrvvrjvjvv.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 247621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -29\/10*q**6 + 0*q**2 + 0*q**4 + 2*q - 9 + 7\/3*q**3 + 0*q**5. What is the second derivative of c(z) wrt z?\nAnswer: -1044*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let v be k - (-2 + 18\/(-33)). Let y be 1\/(-6) - 7\/(-6). Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12663 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from wbbwbbbzbbbyb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, q: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*o + 33*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1964*4218.\nAnswer: 8284152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + z**2 + z**2)*(1 + 0 + 0)*(-9 + 3 - 16) - 5*z**2 + 4*z**2 + 5*z**2.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000702227 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421989 by 1.\nAnswer: -421989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d = -2*l - 34, 4*d = -8*l - 178 + 90 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 3. Let p be s(-3). Suppose -2*o - o = -p. What is the closest to 0.1 in 3\/4, -1, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8547 and 1192695.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 34. Which is the third biggest value? (a) z (b) 39 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -51 + -8 - (0 + 0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**2 + 35*d. Let q(k) = -5*k. Calculate p(q(t)).\nAnswer: -300*t**2 - 175*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121 and -4?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - -5) - (5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 13 = 3*n. What is the remainder when 207 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*sqrt(60)\/sqrt(3))**2 - (sqrt(35)\/sqrt(7) + 5 + -5 + sqrt(5) + 2 + sqrt(5))) + 4.\nAnswer: -3*sqrt(5) + 5122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5441724 (base 8) in base 15?\nAnswer: 1dc521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43794.5ng in grams?\nAnswer: 0.0000437945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/10 + 2)*-120. Let q be 1 + 63 + 0 - -3. Let v = k - q. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3*(-3 + 2). Let m = 7 + -4. Let b = 1 + m. Solve 0 = -2*f - b*v - 4, -h = -4*f - 2*v + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + 3*m**2 + 7*m - 2. Let s(a) = 8*a**3 + 2*a**2 + 6*a - 2. Let c(z) = -6*g(z) + 7*s(z). Let i be c(3). Is i\/(3 + -7)*-8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 56253611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k + 1\/2*k**2 - 3 + 1\/3*k**3. Let j(h) = -h**2 - 4*h - 4. Let y be j(-3). Give c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2515640 * 15.\nAnswer: -37734600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-45)*13 + (-4)\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -47, -138, -307, -578, -975, -1522, -2243?\n\"Answer: -4*y**3 - 3*y**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 5. Suppose 0 = -j - 0*j - 5*k + 43, 4*j = -a*k + 82. Calculate the lowest common multiple of 12 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*t = 3, 40*w + t = 43*w - 1. Let y = -32\/5 + 28\/5. Let k = -0.525 - -0.025. What is the closest to w in y, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 2 l when four letters picked without replacement from ulvvvllluhh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -0.0474127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -3.6?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v**(-3))\/v)\/v*v**6*v*v*v)\/(v*(v\/v**(-6))\/v)**(3\/7) assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 533?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 4*j)*((-2*j + j + 3*j)*(-3*j + 6*j - 2*j) + 0*j + 0*j + j**2 - 2*j**2 + j**2 + 0*j**2 - 3*j**2 - j**2 + 5*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 14) to base 5\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1172106 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4528, -4527, -4528, -4531?\nAnswer: -4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, m: 2, f: 4, d: 1, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (565\/(-1695))\/((7\/(-63))\/((-58)\/(-6)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 5. Let z be 6\/(-21) - 96\/(-238). Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 4*h. Calculate the least common multiple of l(-5) and 37 + (-2)\/(3 - 2) + (-37 - -38).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 797205 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*n**4 + 177043*a**2 - 1800*a*n**4 with respect to n.\nAnswer: -12*a**2*n**3 - 7200*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 + 6 = 0. Let a = 1705 + -1708. Sort m, -2, a.\nAnswer: a, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4320 and 2845536.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880 and 990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and (60\/90)\/((-2)\/(-24))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22347052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2557 is divided by 840?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100112110210022 (base 3) to base 6.\nAnswer: 300342142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 439 - 443. What is the smallest common multiple of g\/6 - ((-3010)\/15)\/7 and 3*2 + -4 + 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 11?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-6)\/(-16)))\/(7*180\/42)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/7 - 24*u\/7 - 54\/7 = 0. What is u?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5\/734 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*f**6 + f**5 - 71*f**4 - 110322*f**2 wrt f.\nAnswer: -5400*f**3 + 60*f**2 - 1704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*q + 3*q - 3*q)*(1 + 0 + 3) + 12*q + 3*q + 105*q)*(1 - 1 + 2) to r + p*q and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 + 5*o - 16. Let c = -45 + 52. Suppose -c*p - 5*p = 36. Let t(h) = 9*h**2 - 9*h + 32. Let j(r) = p*t(r) - 7*n(r). Factor j(w).\nAnswer: (w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + -2. Find the common denominator of (-35)\/21*(-1 - 8\/22) and 488\/y*3\/(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/19980*45*-2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.2709845 + -236.2709956. Let k = 4.2 - -169.8. Let w = k + a. Round w to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(0 + 0 - 2*k) + (1 + 0 + 0 + (2 + 3 - 6)*(4 - 5 + 3))*(-38 + 38 + 42*k).\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/6*-19429*-20. Let y = d - 1051912. Let l = 3248982 + y. Round l to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/45, 4, 3\/8, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6868 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010229123 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {x: 1, n: 1, k: 1, e: 2, m: 2, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6071 - -78925\/13. Factor -8\/13*i**2 - o*i - 6\/13*i**3 + 0.\nAnswer: -2*i*(i + 1)*(3*i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1224 and -73\/40.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 6*d - 6. Let o be q(4). Let p be -1*((3 - 13) + -3). Suppose -o*r + p = 3. Solve 0 = -m + r*k - 25, -3*m - k - 4*k + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let g(k) = -21*k. Let a(p) = -7*p. Let t(u) = 7*a(u) - 2*g(u). Calculate t(v(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.37 + -1.07. Let x = 0.2 - 0.1. What is the nearest to -1\/2 in 1\/2, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.208 - -0.092. Let m be (-3 + -5)*((-20)\/(-1))\/2. Let c = m + 77. Sort -2, l, c, -1\/4 in descending order.\nAnswer: l, -1\/4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372357.2809 rounded to the nearest one thousand?\nAnswer: -372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1548.94488 to one dp.\nAnswer: 1548.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16840*r**5 - 38*r - 366 wrt r.\nAnswer: 336800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5.1, -1, 0.18, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0.18, -1, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 50*h + 205. Let i be j(-4). Let o(a) be the third derivative of 0*a - 26*a**2 + 5\/6*a**3 - 1\/60*a**i + 0 - 1\/8*a**4. Give o(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10*(-4)\/(-6). What is the second smallest value in h, -1.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 12*t + 35. Let n be u(5). Let z = 15 + n. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 270?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 170 = -4*b. Suppose -2*h + 269 - 31 = 0. Calculate the greatest common factor of h and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2. Let r(g) = -g**2 - 3. Suppose f - 3 = -1. Suppose -8 + 2 = -f*q. Let b(u) = q*h(u) + 2*r(u). Let s(v) = v**2. Calculate s(b(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 + 3*z - 5. Give v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 7014\/18) + 1\/(-3). What is x rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 537.41.\nAnswer: 2687.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12) + -3)\/(28\/84)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5891299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 2 + 1 + 19*a - 20*a. Suppose 3*v + 4*d = -1, -3*v - v - 3*d = -8. Suppose -v*i = -4*b + 16, 2*i - i = b - 3. Determine f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1817 + 0?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a = -10*i - 42*a + 59, 13*i + a - 17 = 7*i + 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 52*v - 137. Does 9 divide k(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(4 + 0 + 0) + 1 + 2 - 2)*(2*h + 4*h - 5*h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -1\/2 (c) 1 (d) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/5 - 84*j**4\/5 + 21938*j**3\/5 + 44196*j**2\/5 = 0. What is j?\nAnswer: -127, -2, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t**(2\/19))\/((t\/(t\/(t*t**3)))\/t**(-4\/5))*(t*((((t\/t**(-2\/11))\/t*t)\/t)\/t)\/t)\/t**(2\/9)*(t*t**(-1))**(-1\/4) assuming t is positive.\nAnswer: t**(-112349\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.4 (b) 5 (c) -0.3 (d) -25 (e) -1224 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:43 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12898430, -12898432, -12898436, -12898442?\n\"Answer: -r**2 + r - 12898430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.062961 * -17.\nAnswer: 1.070337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 - -150. Let y = l + 34. What is the remainder when y is divided by 4\/6 - 245\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15159*g**3 - 341*g**2 - 682*g. Let f(w) = -266*w**3 + 6*w**2 + 12*w. Calculate -341*f(i) - 6*t(i).\nAnswer: -248*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-48))\/((-16)\/(-1260)) + 8\/(-384)*-6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c*c\/(c\/((c\/(c**(2\/7)\/c))\/c*c)*c)))\/c)**(-11)*(c**(-1\/3)*c)**(-31) assuming c is positive.\nAnswer: c**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*112*(-65)\/37440.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**4 + 8*l**3 - 174*l - 2 wrt l?\nAnswer: 60*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 334*l**2 - 94*l + 2. What is the tens digit of g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Let b be 121\/6 + (-1)\/l. Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3881262 and 6838414?\nAnswer: 143606694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 490688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452364 is divided by 490467?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 202, 437, 772, 1213, 1766, 2437, 3232?\n\"Answer: v**3 + 41*v**2 + 11*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s**2 - 14*s + 1091. Let a(n) = 17*n**2 + 20*n - 1637. What is 5*a(i) + 7*k(i)?\nAnswer: i**2 + 2*i - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/20 - t**4\/4 - t**3\/2 - t**2 + 9*t. Give w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 67*t**2 + 1. Suppose -4*s = 2*u - 0*s + 2, -5*u - 5 = 4*s. Let f be z(u). Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 338975336*n - 7181517401019556.\nAnswer: -4*(n + 42371917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = u, -3*v + u + 45 = -2*u. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1\/3, 94.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24244935, -24244951, -24244967?\n\"Answer: -16*u - 24244919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356.92 + -357. Let f = z - 0.04. Which is the biggest value? (a) -3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19296 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 50. Let z(c) = 37*c**2. Give z(l(a)).\nAnswer: 37*a**4 + 3700*a**2 + 92500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4 - (3 + 0)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/2 + p**6\/2 - 27*p**5\/20 - 5*p**4\/4 + p**3 - 3*p. What is d in r(d) = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700757611.\nAnswer: 691, 1014121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + 2434100?\nAnswer: 2434310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + y**2 + 7 + 7*y + 4*y + y. Let g be b(-5). Let d(i) = 2*i**2 - 11*i - 8. Let u(r) = r**2 - 9*r - 6. Let n(c) = 2*d(c) - 3*u(c). What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = d + 341003, 0 = 3*d - 3*f + 156415 + 866588. Round d to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 times 1.29?\nAnswer: -0.04128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/1 - 32 - -2. Let t be (-1)\/2 + (-85)\/r. Factor 3*u**t + 15\/4*u + 3\/4*u**3 + 3\/2.\nAnswer: 3*(u + 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*v + 2*v**5 - 17*v - 12*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3869, 7781, 11693?\n\"Answer: 3912*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 35*o**3\/3 + 17*o**2\/2 - 17*o + 26. Is y(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, 1 y, and 1 e when four letters picked without replacement from {r: 3, e: 3, j: 3, g: 1, y: 4, i: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 176 - 34*r - 42 - 45 - 41 as t + v*r and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, t: 1, s: 1, l: 1, k: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -1040.73, 8 in ascending order.\nAnswer: -1040.73, -115, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 81151*r**2 + 6*r + 60 - 81149*r**2 + 10*r as l + x*r + m*r**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364 + 367. Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6834, 6830, 6856, 6918, 7022?\nAnswer: 7174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k**2 + 188*k - 68. Is t(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175213 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 492 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181\/102 - 50\/17. Are i and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 25*f**2 - 146*f - 14. Calculate k(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 31. Let x be i(0). Let q = 98 + x. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 12. Let d be 6\/15 + (-252)\/30. What is k(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4 - 3*r - r**2 + r + 6*r + 6. Suppose -4*z + z = -12. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/(-112))\/(19\/133).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -8.42, 28, -2\/15, 4 in descending order.\nAnswer: 28, 4, 0.3, -2\/15, -4, -8.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -47. Suppose 0*h - n*h = -2908. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.82 + -3.82. Let f(c) = -c**3 + 10*c**2 + 2*c + 1. Let h be f(10). Let a = h - 37. What is the third biggest value in a, -4\/9, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 10 = 11*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/20 - c**4 + 2*c**3 + 5*c**2 + 5*c - 1024. Determine t(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 2, o: 1}. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 9*d**2 + 27*d + 1. What is the lowest common multiple of w(-3) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*m - 43. Suppose -m = -t + 2*t. Let u be (4\/(-3))\/(t\/24). Put u, -4, 1 in descending order.\nAnswer: u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 7*o**2 + 3*o + 9. What are the prime factors of j(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - (sqrt(224) - -1*sqrt(224)))\/sqrt(7))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*p = -l - 12, 4*p = 5*l - 16. Suppose -y = -l*y - 3. Suppose 4*v - y*j - 352 = 0, 3*v + 4*j - 198 = v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*m**2 + 86340*m + 4544.\nAnswer: 4*(m + 1136)*(19*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.525701 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - 124\/(-24))*16\/(-460). Let r(t) = -t**3 + 12*t**2 - 11*t - 1. Let b be r(11). Is b <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -189?\nAnswer: 189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p + 480. Let j be z(0). Suppose 5*y = 25*y - j. What is the least common multiple of y and ((-9)\/6)\/((-3)\/84)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l - 10*l**2 - 8*l**2 + 15*l**2 + 3*l.\nAnswer: -3*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3*3\/(90\/5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4695, 19668, 44623, 79560?\nAnswer: 124479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**2 - 88*c**2 - 8*c**2 + 22*c**2.\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0)*(-6)\/(-4). Suppose 2*x + w*x = 75. Suppose -x = 2*d - 7*d. Solve d*q = 20 - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 4:00 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(6) + -3 + 3 + (sqrt(7)*2 - sqrt(7)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241532*n**3 + 380179 with respect to n.\nAnswer: 724596*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 4*c + 4. Let k be q(-4). Suppose -k = -2*v + 12. Let g be -28*2\/(v\/(-9)). What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - k**2 + k**2 - k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f - 534*f**2 + 22*f**3 + 3 + 538*f**2 + 4 + 27*f to c*f + i*f**2 + a + l*f**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 68 = 3*v, 4*t + 266 = -4*v + 226 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/65 at least 14.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k + 1 - 14*k + 2*k. Let g(o) = -o**3 + 6*o**2 + 7*o - 1. Let i be g(7). What are the prime factors of b(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 - z**2 - z - 1. Let p be k(-1). Find the third derivative of -54*d**2 - 19*d**p + 21*d**4 + 16*d**2 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -148, 811 in descending order.\nAnswer: 811, 5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 2*g. What is the third derivative of 2*s**5 - s**g - 3*s**2 + s**2 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2426, -2429, -2442, -2471, -2522?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.1 (b) -5 (c) 1 (d) 2668\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:03 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 - 3*x + 6. Let a be w(0). Solve a*u + 1 = -29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96866 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*k - 91*k - 4878*k**2 - 71.\nAnswer: -4878*k**2 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301479 is divided by 9135?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 48182714 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030400874 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72) + (1 + sqrt(242))**2.\nAnswer: 28*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-321)\/63) + ((-7450)\/105)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 11*r + 8. Let g be 10\/2 + 7 + -18 + (-5 - -17). Determine i(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose -z + 1 + 2 = o. Suppose -u + 4 = -y - z, -5*u + 15 = 5*y. Which is the nearest to 2? (a) 3\/5 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16118 less than -0.1?\nAnswer: 16117.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 2*c - 3*y + 75, -2*c + 5*y - 291 = 0. What is the remainder when 67 is divided by c\/(-9)*3\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3430*w**5 + 245*w**4 - 9345*w**3 - 3510*w**2 + 5940*w + 3240 = 0.\nAnswer: -6\/7, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(-24*p + 32*p - 26*p) - 6*p**2 + 3*p**2 + 2*p**2 + 2 - p**2 - 2 + (2*p - 7*p + 3*p)*(1 - 1 + 2*p) - 3*p**2 - p**2 + 3*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let i be (-36)\/306 - (-240)\/17. Let x(f) = -i*f - 3*f + 0*f. What is p(x(a))?\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b)**10\/(b\/(b\/(b**(-3)*b))*b**(-2\/5))*b**(-2\/29)*b**(-2\/7)*(b**(1\/2))**(-50) assuming b is positive.\nAnswer: b**(-33449\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -13. Suppose -y*i = -4 - 5. Suppose -u = -i + 1. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125093, -125094, -125097, -125102, -125109?\nAnswer: -125118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 168608 (base 9) to base 6\nAnswer: 2124525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 78738841*z - 78738821*z + 157477662*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, m: 8, t: 2}. Give prob of picking 1 t and 1 m.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -173. Let t = 0.8 - -34.2. Let c = t + -21. Is m >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3480 and -49\/11600?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6329?\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008072458 to 7 dps.\nAnswer: 0.0000807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 325049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 - (4 + 1 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**2 + 1 + 17*o - 17*o)*(-o - o + o).\nAnswer: -8*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2119861 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4)*16\/12)\/((-14)\/1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let l(z) = -45*z**2 - 3*z + 2688. Calculate i(l(t)).\nAnswer: -135*t**2 - 9*t + 8064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -1 + 11 + -14. Let z(k) be the third derivative of 2*k**2 + 0*k**4 - 1\/12*k**6 - 1\/15*k**r + 0*k + 0*k**3 + 0. Factor z(f).\nAnswer: -2*f**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4*p**3 + 106*b**4 - 4*b**2 + b*p**3 - 84*b wrt b?\nAnswer: 12*b**2*p**3 + 1272*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17010 + -8600. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n = 35*n + 6. Let q = -40 - 28. Let a = q - -101. What is the remainder when a is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-451)\/(-66) - 7 - (-20)\/264.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00197771573 to 6 dps.\nAnswer: -0.001978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 4 + 4 + (-j - 5*j - 3 + 5*j)*(-22 + 57 + 41) as q + n*j and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1050)\/2*1120000\/42. What is p rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-2)*k)*k*k**(5\/4) assuming k is positive.\nAnswer: k**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.2\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.76 + -0.06. Let h = -0.7 + i. Let b = 113\/3 + -37. Put 0.1, h, b in descending order.\nAnswer: b, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-8)*2*-1. Let b(n) = -n - 3. Let q be b(-4). Put q, o, -5 in ascending order.\nAnswer: -5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 73892 = -30814. What are the prime factors of r?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 8*s**2 + 32*s + 25. Let b(w) = -w**3 - 28*w**2 + 27*w + 36. Calculate the remainder when b(-29) is divided by v(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(0 + 6*r + 0 + (2*r + 0*r + 0*r)*(6 - 3 - 1) + r + 2 - 2 + r - r + 2*r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05798, 5, 0, 0.5 in descending order.\nAnswer: 5, 0.5, 0, -0.05798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1241 (base 5) to base 16\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1, 0.4, -1, 26\/161, 0.5 in ascending order.\nAnswer: -1, 26\/161, 0.4, 0.5, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32547 is divided by 4067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 211\/24 and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -14. Let q(j) = -j + 2. Suppose 0 = -2*s - 2*s - 20. Let a(z) = -z + 3. Let i(y) = s*a(y) + v*q(y). What is the first derivative of i(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 5:22 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from {x: 5, r: 4, d: 1, y: 2, k: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*p - 12, 5*z - p + 7 = 10*z. What is the remainder when ((-197)\/z)\/((26\/4)\/(-13)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60287 (b) 11\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11519 and 5?\nAnswer: 57595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 75. Let a be t(-9). Suppose -a*r + 647 + 1270 = 0. What are the prime factors of r?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2304))\/(sqrt(24)\/sqrt(2)*-4).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:36 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -o. Calculate the lowest common multiple of o and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232000002203 + 13?\nAnswer: 232000002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20.7, -4\/3, -0.3, 1, -11 in decreasing order.\nAnswer: 1, -0.3, -1, -4\/3, -11, -20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 282*c**2 + 825*c + 546.\nAnswer: 3*(c + 1)*(c + 2)*(c + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2735*f**2 - 195*f + 50. Let v be g(15). Round v to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaazzzzzzzaazzza. Give prob of picking 2 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 186, 429, 878, 1569, 2538, 3821, 5454, 7473?\n\"Answer: 6*r**3 + 67*r**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.9 + -38. Which is the nearest to m? (a) -1\/5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 43843545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = 5*a + 77, 0 = q + 2*a - 16. Let s(c) = 18*c - 517. What is the remainder when s(43) is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 + 4*u - 2. Determine s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-10))\/(19\/(1805\/(-38)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 11)\/(0 + -2). Let w be o - ((-21)\/(-18) - 1). Let q = -5\/3 - w. Which is the third smallest value? (a) 1\/2 (b) -1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433\/915 + 2\/305. Let i = z - -9\/5. Let y(h) = h**3 + 5*h**2 + 5*h + 3. Let b be y(-4). What is the nearest to 1 in -0.4, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 9*m - 7. Give y(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119456.\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -601736 (base 8) to base 11\nAnswer: -125505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1519 + -1503. Solve -j*i + 6 = -22*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2*b + 3*b + (-3*b + b + 3*b)*(1 - 3 + 3) + (8*b + 0*b - 3*b)*(-33 - 8 + 2))*(2*b**2 - 6*b**2 + 2*b**2) as m*b**3 + f*b**2 + a + d*b and give m.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/11 - 52*c**3\/11 + 282*c**2\/11 + 728*c\/11 + 392\/11.\nAnswer: 2*(c - 14)**2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133593.8ml in litres?\nAnswer: 133.5938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -u + 4*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24.01. Let a = z + -0.11. What is the third smallest value in 5\/2, a, 2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*y**5 + 61*y**5 - 674 + 104*y**5 + 3*y**3 - y wrt y?\nAnswer: 1400*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 610 - 9*k**3 - 611 + 57*k.\nAnswer: -9*k**3 + 49*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*j + 182 = 0, 3*l - 2*j - 191 + 66 = 0. Suppose -2*b - 5*d = -0*b + 9, -b + d + 6 = 0. What is the units digit of -1 + l\/b*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3913 + 3892.21. Let r = k + 20.6. Is r <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from jfjffjh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - 9. Suppose -l = -0*c + c - b, -10 = -5*l + 3*c. Find j such that 0 + 0*j - 1\/2*j**l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -2552, 4, 0, 1 in increasing order.\nAnswer: -2552, -2, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 942570 divided by 20946\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-12 - -16) + (0 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c**2 - 1040*c + 5235. Give f(5).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 616.7+11.08\nAnswer: 627.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.20203924 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (4 - (15 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -120953*c**2. Let d(q) = 7*q**2. Calculate n(d(m)).\nAnswer: -5926697*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7482160 by -23.\nAnswer: -7482160\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + 5 + (sqrt(350)\/sqrt(90) - sqrt(35))\/(-4*sqrt(80)))**2*2.\nAnswer: 7*sqrt(7)\/6 + 29095\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 7*y**2 + 6*y + 4. Let b be (-1)\/(10\/(-2)) + (-36)\/5. Calculate l(b).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**22*k)\/k*k)**28 assuming k is positive.\nAnswer: k**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2233759 take away 0.0794882?\nAnswer: -0.3028641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-12)\/(-16) + 12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5179, -5182, -5207, -5266, -5371, -5534, -5767, -6082?\n\"Answer: -2*q**3 + q**2 + 8*q - 5186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225537, 450826, 676115, 901404, 1126693, 1351982?\nAnswer: 1577271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c + 5. Let h(k) be the second derivative of k**4\/12 + k**3\/3 + 15*k**2\/2 - 399*k. List the prime factors of h(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 0 + -2 + 1. Suppose -5*b - 5*m = -0*m - 10, 3*m = 2*b - 4. Suppose 2*l + s - 221 = b*s, 4*s = -y*l + 472. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472623000 rounded to the nearest 1000000?\nAnswer: 473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.34 rounded to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*i = 2*l - 388*i + 22, 0 = -5*l + 4*i - 38 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188325 and 7725375.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.73746 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d**3 - d**2. What is the units digit of n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*s - 14, 3*h - 2*s = 8*h - 14. What is the common denominator of h\/8 + (-29)\/(-44) and (-988)\/(-220) + 2\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775237.7 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 + 85. Let b be r\/(-48) - (-3)\/12. What is the smallest value in b, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19)\/228*9)\/((-4614)\/8). Do a and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 6*x + 12. Let g be w(2). Sort 0, -3, 30, g.\nAnswer: -3, 0, g, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14400 + -28801\/2. Which is smaller: 10843 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-164)\/24*14\/7)\/(15*8\/360)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/142907 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 45*u**3 - 135*u**2 - 155*u - 60.\nAnswer: -5*(u + 1)**2*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47094731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -5998021.\nAnswer: -4798416.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3708252 times -10.5\nAnswer: 38936646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y = -43*y - 5. Let a(x) = 3*x**2 - 4*x - 3 - 2*x**2 - 1. Calculate a(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24430 - 24363. Solve -58 + y = -2*o + s, o = -5*s - 32 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (11 - (-268792)\/24) - 4\/(-3).\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*y + 3*y - y)*(y**3 - 2*y**3 - y**3) in the form f + w*y**2 + p*y**3 + c*y + l*y**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -67.000116. What is s rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (-19 + 4 + 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qrqqqrqqrqrrrqrrqrr.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 213018546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(1300) + 2)*5 + 4.\nAnswer: -46 + 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43238, 1, -3, 13, -10 in ascending order.\nAnswer: -43238, -10, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26682519 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -124, -296, -572, -970, -1508?\n\"Answer: -3*b**3 - 25*b**2 + 10*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1468*h + 199. Is z(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 478236746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x + 156 = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 36*n - 1512 = 0. Let a = 38 - 24. Calculate the highest common factor of a and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7064483 (base 9) to base 2\nAnswer: 1110010110101001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*s = 3*b - 5, 0 = -3*b + 3*s - 27. What is the tens digit of b\/14 - -1 - 3684\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013373 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05469219 - 169286.\nAnswer: -169285.94530781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -7. Let z(m) = m**2 - 3*m - 4. Suppose -f = -8 + 3. Let y be z(f). Solve -k - q*k + y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14260495819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3557058 + -1144926?\nAnswer: -1144927.3557058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387600432?\nAnswer: 2, 3, 8075009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500754, -500753, -500752, -500751, -500750, -500749?\nAnswer: -500748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206010671 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3796128 and 1265376?\nAnswer: 3796128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Let b(d) = 2*d - d**3 + 4 - 2*d**f + 2*d**3 - 1 - 3*d**2. Suppose -9*g = -15*g - 18. Determine b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 2577 = 5*i, 2*i - 3*u - 1033 = 0. What is the units digit of i\/4 + 26\/104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - v + 2*v = 40, -80 = -5*t - 5*v. Calculate the smallest common multiple of 3 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 13)*(4 + -1 - (-20)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1985556 and -1.47.\nAnswer: -2918767.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n + 4. Suppose -s = 4*s - 4*f - 15, 3 = s + 2*f. Give a(s).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325776 smaller than 325717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 19*o**2 + 15*o**2 - 2 - 2 - 3.\nAnswer: 34*o**2 + o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/13 - (-288)\/156. Suppose 2*a = -o*p - 0*a - 4, 5*a + 28 = 4*p. Suppose 0 = p*v + 2*v - 384. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-315)\/1620) + -40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29974\/13, -0.4, 7.1, 0 in descending order.\nAnswer: 29974\/13, 7.1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**2 + i + 1. Let h = 984 + -982. Let c(d) = 25*d**2 - 3*d - 3. Give h*c(v) + 7*g(v).\nAnswer: -6*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**4))*r)**(16\/11) assuming r is positive.\nAnswer: r**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/975 and -109\/65350.\nAnswer: 2548650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 23 - 37 - 0\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 + 670*q**4 + 2*q**3 - 475*q**2 - 8*q wrt q.\nAnswer: -120*q**2 + 16080*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317862.\nAnswer: 2, 3, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75550 = -0*x + 5*x. Let s be ((-84)\/(-350))\/(8\/x). Let j = -20776\/45 + s. Find the common denominator of 37\/4 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30908, 63637, 96368, 129101, 161836, 194573, 227312?\n\"Answer: x**2 + 32726*x - 1819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 y when four letters picked without replacement from {x: 4, v: 1, n: 4, f: 3, y: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -947 + 951. Let v = 0 - 1. Let b(g) = -g**3 + 2*g**2 - g - 1. Let c be b(2). Sort v, c, k in increasing order.\nAnswer: c, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -m + 12*m. Suppose -23 - m = -6*j. Suppose -2*v + j*v - 3*c = 198, 0 = -c. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**2 + 3*m - 4. Let k(j) = 16*j**2 + 2*j - 3. Let c(z) = 4*k(z) - 3*t(z). Find the second derivative of c(p) wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 1, -5, 0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/6)\/n)\/n)\/(n**(-1\/17)\/n))\/(n**(1\/9))**(-13) assuming n is positive.\nAnswer: n**(103\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 9*o**2 - 3*o**2 + 7*o**2 + 0*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -289891 divided by -1\nAnswer: 289891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + ((-11)\/(-3 + 14) - -37)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - 6*l - 2. Let o be x(-6). Let m(f) = f**2 + 1. Let a(w) = 3*w**2 + 2*w + 5. Let c(q) = a(q) - 2*m(q). Calculate c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5224016 decades?\nAnswer: 5.224016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/2, 3, -5, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -22.2. Let j = o + -2.9. Which is bigger: 1\/7 or j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110541500 (base 6) in base 9?\nAnswer: -3683880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 1, i: 2, p: 1}. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 93\/5, -0.5, -3\/2?\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(165\/44)*11\/198*-3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 18. What is the greatest common divisor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.46603 years in months?\nAnswer: 77.59236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*n, 43*n - 41*n + 14 = 5*s. Suppose 2*a - 6 - 4 = 0. Solve -2*i = s*c - 14, i = 6*i - 3*c + a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6021921 by 8.\nAnswer: -6021921\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from yhyyhffmfxxhyyx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 25. Solve -4*p - q*r - 2 = 0, -p + r = -4*r - 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m + 1\/20*m**5 + 0*m**4 + 0 - 5\/3*m**3 + 10*m**2. Differentiate c(w) with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309309.\nAnswer: 3, 7, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1416 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138814\/9 at least as big as 15424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.1. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -43012?\nAnswer: -60216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69 from 16053367419.\nAnswer: 16053367488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7.64. Let x = v + 24.64. Let l = x - 25. What is the nearest to 0.02 in 3, l, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -8. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Which is the nearest to r? (a) 4 (b) 3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174139 divided by -4\nAnswer: 174139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5\/3 + 4*z**4\/3 + 12*z**3 - 52*z**2\/3 - 32*z\/3 + 16 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6280.289 decades in millennia?\nAnswer: 62.80289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1)\/(-4*sqrt(4)*1) - (-1 + sqrt(65)\/sqrt(5) - (-1 + sqrt(13)*-1 + sqrt(13))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -18512929.\nAnswer: -5\/18512929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67952*v - 87128*v + 406241*v + 467995*v.\nAnswer: 719156*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n + 25. Let v be 1 + 1*(0 + -1). Put v, -1, n in ascending order.\nAnswer: n, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 287206892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:36 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -140. Suppose -3*o = 2*g - w, 2 = 2*g - g. Let f be 10\/o + (-7)\/72. Which is the nearest to -1? (a) 5 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:35 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i + 6. Let t(a) = -a**3 - a**2 - 3*a + 5. Let z(w) = -4*h(w) + 5*t(w). Let m = -17 - -12. Is 12 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292)*-1 + 4)*-5 + ((sqrt(1872) - sqrt(1872)*-1)*5 - sqrt(1872) - (sqrt(1872) + -3 + 2)))**2.\nAnswer: -7828*sqrt(13) + 552029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3121 - -12919. Suppose 8*u - 98702 = -o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/2 - 1) + -2. Suppose m + b = -m. Let x(l) = -4*l**2 + 4*l**2 - 4*l + 5 - l**2 + 0*l**2. Let r(s) = -s**2 - 3*s + 4. Calculate m*x(c) + 5*r(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 88 (c) -1\/13 (d) -0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450323 is divided by 3023.\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*i**2 + 2*i*y - 2758*i - 136964*y + 2 wrt i?\nAnswer: 36*i + 2*y - 2758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*o - 5*g, -4*o + 54*g - 51*g = -15. Solve o = 4*z - 2*y, 2*z = -0*z + 2*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/8682 and 47\/738.\nAnswer: 1067886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -292776 divided by 6?\nAnswer: -48796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 14*v**2 - 14*v - 9. Let w be m(-13). Let q(n) = -n + 2. Let u be q(w). Calculate the lowest common multiple of 8 and (0 + u)\/(-2) + 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -340 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47147769 divided by -65757?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023414 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)*j*j*j*j**(-4\/9)*j*j*j**(1\/2)*j**(1\/7)*(j\/(j\/((j**(1\/5)*j)\/j)))\/(j**(-1\/2)\/j)*j**4\/j**4 assuming j is positive.\nAnswer: j**(3401\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 7*x + 4. Let k be -3 + -4 - 0 - 0. Calculate the least common multiple of 23 and n(k).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 168*p**2 + 56*p - 98. Let i(f) = f + 1. Let l(d) = -c(d) - 21*i(d). Let r(n) = 13*n**2 + 6*n - 6. Calculate -6*l(h) - 77*r(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/5))**(-20)\/(j**(-1\/13)\/j**(-15)) assuming j is positive.\nAnswer: j**(-402\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472*v = 1475*v - 72. What is the greatest common divisor of v and 6376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = t - 27. Let w = t + -154. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648156 and 40293698.\nAnswer: 241762188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.68 and 80?\nAnswer: 374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4423, -104, -5 in decreasing order.\nAnswer: -5, -104, -4423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.159090313 + -2448.72\nAnswer: -2447.560909687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -70*j + 101. Let o be u(2). Sort -1\/5, -3\/4, o in descending order.\nAnswer: -1\/5, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22492.74 hours?\nAnswer: 80973864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1433\/4 or 359?\nAnswer: 1433\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 - 4*v - 3. Let n(y) = -4*y**3 - 3*y - 2. Let o(t) = -3*m(t) + 4*n(t). Let l = 78 - 69. Suppose -4*c + l*c = -5. Determine o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, -18\/43, 1\/4?\nAnswer: -18\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -125500000 rounded to the nearest one million?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -5*y, -9*y + 8*y = -4*t + 13. Suppose -2*g = -3*g. Let x be (0 - g) + (-1)\/(-13). Sort y, -0.5, x.\nAnswer: -0.5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*q = -7, 2*r - 5*q = 6*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 74, 61, 42, 17, -14, -51?\n\"Answer: -3*w**2 + 2*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359\/3 - -120. Let i = -2.9 + 3. Which is the second smallest value? (a) 0.3 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by 130?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-3))\/((-7)\/(-21)). Let u(y) = -3*y**3 - 3*y + 4. Let a(t) = -5*t**3 - 5*t + 6. Determine r*a(i) - 8*u(i).\nAnswer: -i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let h(w) = 11*w**2 - w. Let f(l) = -5*l**2 + l. Let b(r) = 9*f(r) + 4*h(r). Determine b(k) + 5*j(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 2:22 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (367\/(-734))\/(2*1\/(-30)*(-27)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = 5*k - 74, -3*k + 4*y + 50 = 0. Is k*3*(-118)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v + 1482846 - 1480733 + 5*v - v + 1068*v**5 wrt v.\nAnswer: 21360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.5, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d + 134\/105*d**7 + 0 + 0*d**3 + 1\/30*d**5 - 272*d**2 + 0*d**6 + 0*d**4. What is the third derivative of o(w) wrt w?\nAnswer: 6432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let l(o) = -o**2 + o - 2. Let m = -3 - -3. Let u be l(m). Put x, -4, u in increasing order.\nAnswer: -4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 392603.7l?\nAnswer: 392603700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6663, 2\/5, -0.56, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44413 - 43243. Calculate the least common multiple of z and 5.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 + -2011?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1\/(1\/(-28)). Suppose 3*q = q - 5*r + 40, 0 = -3*q - r + 34. Let o = j - q. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29890*c. Let y(h) = -421*h. Let b(s) = -6*o(s) + 427*y(s). Let g(a) = -11*a - 2*a - 28*a + 45*a - 2*a. Give g(b(l)).\nAnswer: -854*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 16 = -k. Suppose -2*j - 3*g = 10 + 10, -4*g = j + k. Let z = 11 + -6. Sort j, 0, z, 3.\nAnswer: j, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 68 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3322324 divided by 4.\nAnswer: 830581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17*q**2. Let m(s) = 24. Let d(k) = -k + 3. Let p(z) = -32*d(z) + 4*m(z). Determine h(p(n)).\nAnswer: 17408*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 9. Let d be w(-9). Suppose d = 6*z - 9*z + 150. What is the least common multiple of 50 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from lsssfllllslrssfssssl.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.2 (c) -20 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 25. Let g be ((-4)\/18)\/((-4)\/d). Solve 2\/3 + g*j**2 + 4\/3*j = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -702*q - 1826. Let h be v(-3). Calculate the greatest common factor of h and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-4)*2212\/(-237) - 70972\/10200 and -11\/600.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -3 + -64)*4. Let q be (-1)\/(-3) - (-4)\/6. Is (q\/2)\/((-2)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20318, 40624, 60932, 81242, 101554?\nAnswer: 121868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*r + 104. Let k be (-206)\/(-14) + 16\/r. Suppose -k*b + 433 = -287. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 - 9. Suppose 2 + 34 = -2*a. Let y(t) = -3*t**3 - 2 + 4 + 2*t**3. Let r be ((-216)\/180)\/(6\/20). Calculate a*y(v) + r*b(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2273 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*q + 28, -1364*b + 1368*b + q = -7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/s**15))**(-3\/8)\/((s*s\/(s\/((((s\/(s\/s**(30\/11)))\/s)\/s*s)\/s)))\/s*s**(-1\/21)) assuming s is positive.\nAnswer: s**(-10265\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and (-32 - -2)\/((-2)\/15)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**2 - 2*h + 1\/70*h**5 - 1\/147*h**7 - 1\/105*h**6 + 0*h**3 + 0 + 1\/42*h**4. Solve t(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*n**3\/17 + 1450504*n**2\/17 + 38680*n\/17.\nAnswer: 2*n*(n + 9670)*(75*n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 207709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/28*(-11 - -21) and -75\/1696.\nAnswer: 11872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-10))\/((-2419)\/(-236) + -11). Let f = 4 - 2. Put i, f, -1\/11, -0.4 in descending order.\nAnswer: f, i, -1\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868273152?\nAnswer: 2, 29, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*i**3*y - 48*i*y - 64*i - 26358479*y wrt i?\nAnswer: 141*i**2*y - 48*y - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6908213?\nAnswer: 13, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4063 and (-484)\/96 - (-48)\/128?\nAnswer: 12189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p + 1 - 1 + 18*p. Let j(t) = -t**2. Calculate j(v(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 29, 112, 239, 416, 649?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14515 - 2c3?\nAnswer: -147d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 31*o + 3. Let x be j(4). Suppose q + 2*c - 5*c = -55, 2*c - 223 = 5*q. Let y = x + q. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19497 is divided by 368?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27048.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 205*l**2 - 2359*l + 3658. Calculate d(-216).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 63487*z**2. Let h(b) = -146*b + 41. What is h(v(f))?\nAnswer: -9269102*f**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -0*u + 4*n, 2*n = -3*u - 8. Let p be ((-9)\/u)\/(1\/4). Let l(g) = g + 8. What is the remainder when l(p) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-120 + (-8 - -1))\/(3\/(-99))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:34 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 g when four letters picked without replacement from {g: 7, y: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/(-10) - (264\/(-55))\/4)*1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 592, 16, 5, -2.\nAnswer: -4, -2, -1, 5, 16, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(4\/(-80)). Suppose 0*p + 50 = 2*a - 5*p, -4*a = -p - 82. Suppose -3*u + a = 2*u. Calculate the highest common factor of h and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 14*v**2 - v - 1. Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 60213*i**2 - 320686*i**2.\nAnswer: -380899*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3 - 4*k - k + 3 + k. Let r(h) be the second derivative of 0 - 1\/2*h**2 - 12*h + 1\/6*h**3. What is q(g) + 5*r(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 6.25589?\nAnswer: 12.51178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*(i\/(i**(-18)*i))\/i))\/i)\/(i\/(i**1*i)))\/(i*i**(-12)*i*i*i\/(i\/i**(-2\/21))*i) assuming i is positive.\nAnswer: i**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 836, -0.06, 11, 2\/11, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-94)\/(-30) - 0) + -3. Which is the nearest to 0? (a) 0.02 (b) o (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33496 and 2862.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*b = -9*b - 31, 2*b = -2*t + 2. Calculate the remainder when 0 + 2 - (-15 + 1 + 6) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 68?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 18. What is the third biggest value in -3, q, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) + sqrt(8) + sqrt(72)) - (((sqrt(17) - (sqrt(17) + (sqrt(17) - -1*sqrt(17)))) + -4)**2 - sqrt(17))) + -1*(0 + sqrt(1700)).\nAnswer: -124*sqrt(17)\/5 - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 1, s: 2, b: 1, o: 1}. What is prob of sequence as?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5918820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 457, 4, 0 in decreasing order.\nAnswer: 457, 4, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 132 (c) -0.074 (d) 2\/7 (e) 0 (f) 0.088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225773?\nAnswer: 3, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1669512 and -107\/276?\nAnswer: 38398776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - 4*g - 3. Let q(l) = 5*l**2 + 4*l + 3. Determine 3*q(v) + 2*y(v).\nAnswer: 5*v**2 + 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 218700 + 1623*l**2 + 38*l**3 + 30780*l + 1\/3*l**4 = 0.\nAnswer: -30, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10719738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 16*b**3 - 244*b**2 - 196*b + 64 = 0.\nAnswer: -1, 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149112203909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 6) to base 2\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8*s + 8 = -9*s, -5*v = -s - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 50*a - 6*a + 153. Let s(n) = 6*n + 18. What is s(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/11, 5, 1\/3, 15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2092788 = 4*m + 436979, 0 = -2*m + u + 827897. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1899 + 2365. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2003*n + 2004*n - 9 = 3*k + 113, -96 = 2*k + 3*n for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = -4*t, 22*r + 15 = 5*t + 19*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 0)\/(-3)*-8. Let t be 2 + 7*(-2 + 2 - -1). Let s be (0 - 4)*(t\/(-2) - -4). What is the highest common divisor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 12. Let i(v) = v**2 - 16*v + 25. Let y(d) = -d**2 + 15*d - 23. Let k(n) = -3*i(n) - 4*y(n). Let m be k(4). Is a bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/568 and -109\/28.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = 15*p + 410 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 0*s)*(-5 - 6 + 0).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 7*r**5\/30 - 11*r**4\/8 + 1163*r**3 - 7913*r**2. Differentiate d(c) wrt c.\nAnswer: 28*c - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28405 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose 5 - 6 + 6*j + 2*j**c - 3 - 6*j**3 + 2*j**4 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1692*a**5 + a + 987?\nAnswer: 33840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:39 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11943, 11866, 11789, 11712, 11635, 11558?\n\"Answer: -77*d + 12020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220904 divided by -406968.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33268272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165395984 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6826*k**2 - 24*k**3 + 13648*k**2 - 6826*k**2.\nAnswer: -24*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*k + l - 865, -5*k - 2*l = -830. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212005 and 5057.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3309466713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -7*m. Suppose -130*k + 126*k + 4*o = -20, -2*k + o + 7 = m. Solve -4*d = 8, -k*a - 5*d = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.04 (b) 2\/7 (c) 4\/9 (d) -4 (e) 10\/9 (f) -198\/13 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23195*q - 44351.\nAnswer: 23195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.021 and 13042.\nAnswer: 13041.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556133596 to the power of 1\/2, to the nearest integer?\nAnswer: 23582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 77, 132, 187, 242?\n\"Answer: 55*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*175\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*a**2 + 474*a - 474*a.\nAnswer: -331*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 368*l - 363*l. Let y(r) be the third derivative of 6*r**l + 0*r + 0 + 1\/24*r**4 + 7\/3*r**3. What is y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:58 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 + 4*o - 4. Let k = 6 + -5. Suppose p = 6 - k. What is the remainder when 46 is divided by u(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 14, n: 5}. What is prob of sequence unnu?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21842864 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l - 33 = 0, 29 = 2*d - 0*l - 5*l. Suppose d*v + 0*v = 2088. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918734 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/13 - 20*x**3\/13 - 46*x**2\/13 - 24*x\/13.\nAnswer: 2*x*(x - 12)*(x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -0*z. Suppose -3*g = -z*m + 42 - 2, 4*g + 4*m = -40. Let k = -7 - g. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -36*b + 33*b. Let t(l) = 23*l + 1. Let r be t(2). Suppose -3*v + 28 + r = 0. Calculate the remainder when v is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, 4*i + t + 2 = 26. Let v be 40\/16 + (-3)\/i. Solve -v*f = -a - 4, -6*a = -a + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a - 20. Let d be w(-5). Suppose -p + 57 = 4*i - d, 3*p = 2*i + 290. Suppose 9*j = 5*j + p. What is the remainder when 69 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*h = -1 + 1 + 2, 5*h - 5 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1292 and -5.\nAnswer: -6460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x + 162. Suppose 2 - x = -2*l. Find the common denominator of -4 - l\/(-8) - -4 and 19\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83050889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002147932 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 22 = d, 3*c = 2*d + 13 - 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121 - 4930*n**4 + 12 - 134 + 9*n - 3*n**2 wrt n.\nAnswer: -118320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/120 - 7*i**5\/60 + i**4 + 9*i**3 + 44*i**2. Let a be q(-9). Solve a = -t - c, -3*t = -4*t - 2*c + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30601508 - 634492 = 12*s. Round s to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127630 - 127615. Suppose 0 - 5\/3*r**5 + n*r**3 + 0*r**2 + 0*r + 0*r**4 = 0. What is r?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + 7*l - 6. Let s be m(1). Solve -2*p - 3*n - 10 = -0*p, 0 = 3*p + s*n + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 + 0*h**2)*(-3*h**2 - h + h) - 8*h**4 + 20*h**4 + 35*h**4.\nAnswer: 53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**3 + 32*x**2 + x + 3. Let u(o) = -5*o**3 - 34*o**2 - o - 4. Calculate 3*u(p) + 4*v(p).\nAnswer: p**3 + 26*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49352\/(-1178) - -42 - (-148)\/38. Suppose u = -0*u - 235. Put u, t, 1 in decreasing order.\nAnswer: t, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 + 9804*q**4 - 16977136*q**3 + 5804428096*q**2 + 67908480*q - 23217869248 = 0. What is q?\nAnswer: -3703, -2, 2, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**2 - 17*v - 382. Is s(-39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 23*z + 88. What are the prime factors of k(21)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.76 - 24. Let g = 0.3 + -0.34. Let z = s - g. Which is the biggest value? (a) 5 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose -2*y - 4*x + 20 = 2*y, 14 = 3*y + 4*x. Solve f - y*f = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41153 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-3)*1\/22.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -139*u - 64. Determine n(-2).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyyxxxlyx. Give prob of picking 1 l and 1 x.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5\/4*v**2 + 3\/8*v**3 + 5\/24*v**4 + 2*v - 9\/80*v**5 - 1. Find z, given that i(z) = 0.\nAnswer: -1, 1, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 620139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8074.581 rounded to the nearest 10?\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*2\/(-6) - -2. Solve -w - y + 3 = 0, y = -2*w + a*y + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15)*3*(-370)\/37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44446767?\nAnswer: 3, 101, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(-6 + 0 + 4) + 3 + 2 - 7)*(9087 + 12*g - 9088 + 9*g).\nAnswer: 42*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1696*l + 7329840 - 7329840)*(-2 - 2 + 3)*(l - 4*l + 4*l) - 3*l**2 + 5*l**2 - 5*l**2 to the form r + z*l + k*l**2 and give k.\nAnswer: 1693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 194416 and 3.055.\nAnswer: 194419.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.07 + -0.07. Let p = q - 5. Let k = p - -2.5. What is the second biggest value in 2\/7, -4, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90076 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 2*q**3 - q**3 + (0*q + 0*q + q)*(-4*q + q**2 + 4*q) - q**3 + q**3 - 5*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116170 divided by -3.\nAnswer: -116170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-2)\/(-16)*2. Let r(j) = j**3 - 14*j**2 + 14*j - 17. Let i be r(13). Sort c, i, 2 in descending order.\nAnswer: 2, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 divided by -10?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -13*v**4\/12 + 9*v**3\/2 - 22*v + 11. Let x(y) be the first derivative of p(y). Find the second derivative of x(l) wrt l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/3 + 12*s**2 + 28*s + 1. Let j be o(-23). Solve -5*a = -j + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428 and 60?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 167 (b) -0.06 (c) -3\/5 (d) 4 (e) 103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4\/3, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/5)*o)\/o**1*o**(2\/19)\/o*o*o**(-1\/12)\/o)**(-28) assuming o is positive.\nAnswer: o**(3017\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -5 (c) -0.4 (d) -72.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f + 101*f + 45*f - 23*f + 31*f.\nAnswer: 189*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 63?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.13 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 92*f**3 + 86*f**3 - f.\nAnswer: -6*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75 times 4\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + n)*(62*n - 3*n**2 - 62*n) in the form r*n**2 + l*n + d*n**3 + p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 8. Suppose -5*k - 699 = -s*k. Let m be (-6)\/21 + k\/(-7). What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-32)\/(-64)*4\/6)\/((-5)\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*s = -707*s - 115 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*(-40)\/110. Let z = 48 + -46. Factor 2\/11*t**z - 2\/11*t - g.\nAnswer: 2*(t - 2)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d + 3847*d**4 - 8 + 0*d - 4024*d**4 wrt d?\nAnswer: -2124*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 70 - 80 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 1 - 1 + (-3*k**3 + k**3 + 3*k**3)*(232 - 18 - 103).\nAnswer: 112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Let n = s - -1. Let p be (2 + 4)*5\/2. Solve 0 = -5*a - p, -5*v + 4*a - n = -a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91790)\/10960)\/(5\/40)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4 - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + k + 1486115 = 4*k, 2*t - 743077 = 5*k. Let x = -1177347 - -605816. Let l = t + x. What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:46 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d**3 - 15*d**2 - 24*d - 22. Let h be z(-1). Solve 3*x + 1 = -5*f, -103*f - 4 = -h*x - 107*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + g. Give n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 + 8*w**5 + 114*w**3 - w**2 - 2204*w - 2 wrt w.\nAnswer: -240*w**3 + 480*w**2 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183174 is divided by 3026.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 636 (base 9) to base 7\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(33)\/(5*(sqrt(11) + (sqrt(11) - (sqrt(11)*-2 + sqrt(11)))) + sqrt(11)))**2 - (2 + sqrt(3) + 1 + -1)**2).\nAnswer: -5367\/256 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304785617?\nAnswer: 1033, 295049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32329*i - 4 + 11132*i - 2 + 4.\nAnswer: -21197*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-225)\/(-135)*27\/1965. Let x = 533\/393 - k. Factor -x*r**3 - 4\/3*r**2 + 0 + 1\/3*r**5 + 1\/3*r**4 + 0*r.\nAnswer: r**2*(r - 2)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1, 7, -1 in descending order.\nAnswer: 7, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*a**4 - 4*a**4 - 45*a**4)*(a + 3*a - 2*a) - 31*a**5 - 18*a**5 + 9*a**5)*(2 + 0 - 4).\nAnswer: 248*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13048155 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 = -w, -4*j = -w + 4*w - 47. Suppose y = -2*o + o + j, 0 = 4*y - o - 56. Calculate the lowest common multiple of 4\/(-22) + 488\/22 and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13 + j**2 + 0*j**2 + 13. Let c(v) = -17*v + 17*v - 2*v**2. What is a(c(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.839 - -28.161. Let a = -1.1 - -1. Which is bigger: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 11*j**2 - 8*j - 3. Let r(w) = -7 + 7 + w**2. Let t(g) = a(g) + 5*r(g). Calculate the smallest common multiple of 14 and t(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558b (base 14) to base 6.\nAnswer: 152343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 394739202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -53, 8, 3, 5 in increasing order.\nAnswer: -53, -2, -1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(8*y + 3*y - 44 - 13*y).\nAnswer: 4*y + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 11*s**3 + s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2567*h**2 - 7948*h**2 + 2811*h**2 + 2569*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m - 283*m**3 + 2536 - 149*m**3 - 2580 wrt m.\nAnswer: -2592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -4*m, 3*m + 4*r - 17 = -2. Suppose 0 = 3*o + o. What are the prime factors of (m + o)\/((-2)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 161*b**3 + 49*b**2 + 49*b - 49. Let j(o) = 20*o**3 + 6*o**2 + 6*o - 6. Determine -49*j(p) + 6*r(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(0 + 3 + 2)*(-3 + 3 - 1)*(-2*l**4 + 0*l**3 + 0*l**3) to r*l + s*l**2 + c*l**4 + h*l**3 + u and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -4325?\nAnswer: 4326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:50 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 16637?\nAnswer: 16640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 s, and 1 d when four letters picked without replacement from {d: 3, q: 5, s: 1, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911171961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23383\/3688 + 16\/461. Find the common denominator of 2*(-2)\/((-40)\/19) and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875, 3755, 5637, 7521, 9407, 11295, 13185?\nAnswer: 15077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 24, 36, 48, 60, 72?\n\"Answer: 12*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15872 - 96*o - 2*o**3 - 32*o**2 + 7935 + 7937 = 0.\nAnswer: -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 279 = 88. Let a = v - -407. Solve -5*s + a = -13*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2723975232 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 586 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74237 + 446334. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.472785ml to litres.\nAnswer: 0.006472785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k + 867. Is m(-43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.06778402 to 2 dps.\nAnswer: -6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.20171 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 8:01 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11596.2 * 0.01.\nAnswer: -115.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005674 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:20 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**2 + 3*k**2 + 3*k**6 - 2*k**6 + 6*k**2 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -6) + 5 + -16 + 19 + (14 - 3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 184 = 9*q + 5*q. Is q bigger than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -149909263, -149909261, -149909259, -149909257?\n\"Answer: 2*z - 149909265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*d + 123 = 0, -4*u = -5*d + 84 + 9. Let r = 53 + u. Let q = r - 10. Solve 2*x - 3*x - 13 = -5*b, -2*b + q = -4*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 11*f + 3 - 13*f + 30*f + 17*f**3 in the form v*f + j*f**3 + l*f**2 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.1 (c) -2\/5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11772?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 1 + 0)*(-2*c**4 + 0*c**2 + 0*c**2) - 2*c**4 - 3*c**3 + 3*c**3 + (1 + 2*c - 1)*(-c**2 + c**2 + c**3).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1205.27 + 1208. What is the third smallest value in -0.3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -397279\/18 - -22077. Find the common denominator of k and 3213\/(-2278)*15\/35.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:16 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -844881711\/17132 + 49316. Let i = b + 12283637\/119924. Let j = 103 - i. What is the closest to -0.1 in 5, -4\/7, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = 16. Which is the second biggest value? (a) p (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-120) + 0). Suppose -16 = -4*p, 5*j + 5*p - b = -0. Suppose -2*c = -7*c - 2*v + 364, -j*c + 296 = 4*v. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002624 < 3002624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 3*u + u**3 + 20*u - 17*u + 2*u**2.\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -237*y + 4179. What is j(18)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/120)\/((-6)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -2320?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21369*m**2 + 17*m - 68. Let p(d) = 2671*d**2 - 2*d + 8. What is -17*p(a) - 2*s(a)?\nAnswer: -2669*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h. Let x(n) = -10*n - 2. Let f(y) = y - 2. Let s(t) = -7*f(t) + 6*x(t). Determine s(b(v)).\nAnswer: -670*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 (base 12) in base 6?\nAnswer: -14121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 5*y**2 - 2. Suppose 5*v + 830 = -3*f, -2*v - 2*f - 332 = -0. Let l = v + 186. What is the least common multiple of l and d(4)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114690398.\nAnswer: 2, 17, 127, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2188175 divided by -29975\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2))**(-1\/7))**(-18\/7) assuming b is positive.\nAnswer: b**(-27\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -579534?\nAnswer: 579534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 34 = -10*y. Solve 34*k = 38*k + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = -2*k - 2*k, -4*k = t + 5. Suppose 0 = -t*r + 1 + 8. Let p(u) = u**2 + 7*u - 18. Let q be p(-9). Solve q = r*n + n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - 96. Suppose 0 = -w + 413 - j. Suppose p - 52 = -5*y, -17 + w = 5*p + 5*y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -700, -1280, -2328, -4000?\nAnswer: -6452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456 - 5*v + 473 + 456 - 1385.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -485, 0.5, 0.4, -2\/7, -3 in descending order.\nAnswer: 0.5, 0.4, -2\/7, -3, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*r + 1 + 17, 5*r = 4*w + 3. Let i = -64 + 68. Suppose 4*h - 24 = -i*b, w*b - 16 = -b. Solve -17 = -3*g + 2*m, 5*g - 11 = -h*m + m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-2*sqrt(12))**2) + 1.\nAnswer: -47 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 105. Let k = q + -3. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by 336\nAnswer: 89\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**6 - 9*x**5 + 4*x**2 - 21 wrt x.\nAnswer: 360*x**3 - 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30932, 27519, 24106, 20693, 17280, 13867?\n\"Answer: -3413*c + 34345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 38. Calculate the remainder when 50 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 913214146 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30120123 + 113131?\nAnswer: 30233320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 1.24. Let m = y - 1. Let f = -831\/7 - -119. Which is the closest to f? (a) -1 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140.205 + -141. Let d = 0.205 - c. What is the biggest value in 0.4, -4\/25, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 2. Let c be (-4)\/14 + 14\/49. Let s be r(c). Let f = 0.97 - -0.03. What is the closest to -2\/3 in s, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.16 - 0.051.\nAnswer: 21.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(162) + sqrt(18) - (sqrt(18) - sqrt(126)\/sqrt(63))).\nAnswer: -60*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = 6. Solve g = k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f - 4*f)*(-f + 0 + 0) + (3*f + 3 - 3)*(-2*f - f - f) + (2 - 2 + 2*f)*(0 + f + 0) - 1 + f**2 + 1 in the form v*f + y*f**2 + l and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34839654809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 11*k**2 + 10*k**3 - 21*k**2.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 3*v**2 - 6*v - 5. What is the units digit of c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9433.517 micrometers to nanometers.\nAnswer: 9433517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, c: 1, h: 2, d: 7, y: 5, x: 2}. What is prob of sequence cr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 490*k**3 + 2060*k**2 - 573930*k - 575505.\nAnswer: 5*(k - 29)*(k + 1)*(k + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/6 + 2*l. Suppose 0 = -3*q + 5*r + 4 + 7, -q - 5*r - 3 = 0. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74b (base 12) in base 14?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(5*s - 2*s - 5*s) + s + 4*s - 3*s + 7*s - 4*s - 2*s + 173 + 11*s - 173 + s - 2 + 2 as g + w*s and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izvziicziviit. Give prob of sequence vz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16259485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5868 + -5?\nAnswer: -5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**2 + 4284*w - 12738. Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/150 and 119\/46278.\nAnswer: 1156950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1621\/6580 + 6\/1645. Is 3212 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 58*b + 895 + 512 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43153042 - 123?\nAnswer: 43152515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -840267259.3177.\nAnswer: -840267258.9177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from nnol.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 - 188. Let w = k + 390.1. What is the fourth biggest value in 12, -0.4, 0, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 14 = -3*p, -p = 2*s - 8. Sort p, 3\/4, 2.\nAnswer: 3\/4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -44, -123, -274, -521?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*l - 68 = -3, -o - 944*l = -998*l - 755 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14432 (b) 6 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 18*y**2 + 100*y + 336. Let u be g(-12). Let l = -5 + 2. Sort -7, u, l in decreasing order.\nAnswer: u, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195299 by -35.\nAnswer: -195299\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4315*y + 2947*y - 759*y + 128*y - 1255 + 4076*y wrt y?\nAnswer: 10707","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 5*sqrt(220)\/sqrt(4) - (sqrt(55) + sqrt(7920)*2))\/(-1*sqrt(704)*2)*-5.\nAnswer: -145*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59721897259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001100011100111001 (base 2) to base 9.\nAnswer: -4033636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431988011 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Solve -3 = -t*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -191. Suppose -5*k + 3*k = l. Let w(i) = -i**2 + i. Let a(p) = -8*p**2 + 10*p. Let j(z) = k*w(z) + 6*a(z). Suppose j(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 575 = -4795. Calculate the common denominator of 31\/2 and (-14)\/49 + r\/(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 24*j - 23.\nAnswer: -(j - 23)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*a + 420 = 498*a - 1065*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33848135, -67696269, -101544403?\n\"Answer: -33848134*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = 7*c - 0*c + 308 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = 3*h + 380, 242 = -2*h + 3*o. Let s = 136 - 94. List the prime factors of h\/(-7) - (-12)\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/2 (c) 0.37 (d) 596 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4 - 64*n**3 + 156*n**2 + 216*n = 0.\nAnswer: -18, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 - w**2 + 2*w**2)*(7 + 9 - 14) + 35*w**2 - 82*w**2 - 7*w + 43*w**2 to the form g*w**2 + l + d*w and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2.619?\nAnswer: 0.7857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 24.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21134231341 - -211?\nAnswer: 21134232102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63081 is divided by 3905.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000360200352 to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u + 61*u = -273*u - 916 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*o + 19, 2*o = -3927*c + 3932*c + 95 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*m*q**3 - b**2*q**3 + 52*b**2*q**2 + b**2 + b - 3221*m*q**3 + 81*m*q**2 wrt q?\nAnswer: 12*b**2*m - 6*b**2 - 19326*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 1. Let m be z(1). Suppose m = -2*b, -y - 4 = 3*b - 14. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + -900.5. Round g to the nearest ten.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15238499 - -4?\nAnswer: 152384a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/(1\/(-4)). Suppose -5*y = -2*s + 30, -3*s + 3*y = -5*s + 14. Is (2 + o)*s\/(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*c**3 - 332*c**3 - 13*c**3)*(-30*c - 31*c - c) to the form p*c**3 + i + d*c**2 + z*c + v*c**4 and give v.\nAnswer: 29760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2585, 2884, 3235, 3638, 4093?\nAnswer: 4600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*q - 59. Let m be (-6)\/27 - (-34)\/(-9). What is the smallest value in 0, m, q, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2410578 (base 9) to base 12.\nAnswer: -52ba2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -112*b - 105. Let h be w(-6). What is the highest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2520555 to 2 dps.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 8, t: 1, f: 1, e: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 4 = 17*n. Let d(f) = -12*f**3 + f**2. Give d(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + y, -4*y = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.74.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7936\/558 + 2\/(-9). Suppose 13740 = a*t + 2638. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -595.96954 - -596. Let w = 0.6 - 0.57. Let h = w - m. Round h to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -143*m - 37. Let r(b) = -7. Let w(n) = a(n) - 5*r(n). Let o(z) = -5*z - 3. Let c(x) = 16*x + 10. Let t(y) = 3*c(y) + 10*o(y). What is t(w(u))?\nAnswer: 286*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 3*r + 130. Let w be 155\/(-6) - (-11)\/r. List the prime factors of (w + 1)\/((-5)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -244188 and 24.\nAnswer: -5860512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5 = -53*h + 54*h, 0 = -4*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 462*k**2 + 7*k + 2. Let s(x) = -x**3 - 14*x**2 - 13*x - 1. Let a be s(-13). What are the prime factors of g(a)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-984)\/(-15))\/(3\/((-240)\/(-4))). Suppose x = -9*s + 8*s. What are the prime factors of (7\/(-5) - -1) + s\/(-5)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*w**2 - 2 - 9*w**2 + 4 as p*w + f + a*w**2 and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:03 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - v - v - 42654957368, -3*v - 53318696712 = 5*u. Let z = 439591326773546\/41223 + u. Let n = -2\/5889 - z. Is 2 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61174163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.3, 1, 6.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*a - 4*p - 157, 0 = -a - p + 116. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 + 375*z**3 - 2830*z**2 + 3360*z + 6560 = 0. What is z?\nAnswer: -82, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*s - 8103 + 8177, -8*s = -2*p - 38 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 997\/59218 in increasing order.\nAnswer: -5, 997\/59218, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 456190.\nAnswer: 4105710","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.65 + -10.25. Let q = -1.6 - w. Which is the second smallest value? (a) q (b) 3 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2894*a**3 - 4*a**2 + 31*a - 27. Does 10 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62092936 or -124185869\/2?\nAnswer: -124185869\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -595 + 212 + u + 199 + 189 + 5*u**2. Let a(k) = k**2 + 1. Let d(v) = v**2 - 4*v - 11. Let s be d(5). Give s*a(t) + j(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 11*a**2 + 26*a + 1. Determine l(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r - 10*r**2 + 11*r - 4*r as n*r + u*r**2 + d and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5613 and 0.615.\nAnswer: 3451.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 111?\nAnswer: -25\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i + 36*i + 39*i - 5*i**2.\nAnswer: -5*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-18)\/48). Let o = 9 + h. Solve -4*r - 5 + 4 = -k, -o*r + 30 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50432842.29999945 + 50432844. Let b = k + -1.7. What is b rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (318*j - 204 + 204)*(j**2 - j**2 - 2*j**3) + 16*j**4 + 32*j - 32*j to the form d*j**4 + i*j**3 + b*j + g + k*j**2 and give d.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {n: 1, m: 1, p: 1, x: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c - 3 = -10, -10 = 3*y - c. Let o be (4\/y)\/(5\/(-45)). Solve -4*r - o = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 (base 5) in base 2?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-30)*-3*-204. Let c(n) = -4*n + 84. Let k be c(18). What is the highest common divisor of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 1. Let x(a) = -3*a**3 + 26*a**2 + 42*a + 1. Let n(o) = o**3 - 12*o**2 - 20*o - 1. Let c(m) = 5*n(m) + 2*x(m). Let y be c(-4). Determine w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*b = 67*b + 232958. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-3) + (-114)\/(-27). Which is the nearest to 0? (a) k (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*f + 2628, -40*q - 4364 = -45*q - 3*f. What is the highest common factor of 114 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*((-7)\/(-3) - 2). Suppose -223 - 242 = -93*g. Suppose 0 = -3*d - 5*p + 1, -5*d - 2*p + m = -g. Solve 2*f = -d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let v = -3824\/6479 + 291\/341. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.053, 0.5, 2.92, -5?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1357712521 + -3606124959. Let s = -2248412354.99999927 - z. Let g = -83 + s. Round g to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 2}. What is prob of picking 2 f and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(6*4\/12). Calculate the remainder when 7 is divided by (o - -18) + (-3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20 + (0 - (-21)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n + 2. Let v = 18 - 15. Let i(j) = -11 + v - 7*j + 13*j + 11*j. Determine -9*d(w) - 2*i(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1017 and 171?\nAnswer: 19323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, -8, -30, -64, -116, -192, -298, -440?\n\"Answer: -f**3 + 3*f**2 - 18*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 686803984 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 7*h**2 + h**2)*(-h - 2*h**2 + h).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + -0.8. Put -2\/3, p, 2\/19 in ascending order.\nAnswer: p, -2\/3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171))**2 - sqrt(171) - (sqrt(19) - (sqrt(19)*-4)**2*-6)) + 4 + -2.\nAnswer: -1651 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5776, 5724, 5674, 5626?\n\"Answer: i**2 - 55*i + 5830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b**2 + 20*b - 64. Let i be x(-22). Let u = i + -473324\/49. What is the common denominator of -37\/175 and u?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3053*n**4 - 292*n**3 - 5337342*n**2 wrt n.\nAnswer: 73272*n - 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 373 - 3*k**3 + 29*k - 19*k - 10*k in the form o*k**2 + q + r*k**3 + c*k and give q.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 2*i**2 - 15*i - 6. What is m(-6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/840 + 3*t**4\/8 + 5*t**3\/2 - 65*t**2. Let f(h) be the second derivative of n(h). Let z(u) = 29*u. Determine f(z(l)).\nAnswer: -2523*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100164099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*r + 82 = 0, 2*p + r + 0*r = 131. Suppose p = 5*z - 13. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9090305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/4 + 407759*j\/4 - 203879\/2 = 0?\nAnswer: 1, 407758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 274, 302, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let w(p) = 9*p - 18. Let b(f) = 2*g(f) - w(f). Let r = -115 + 112. What is the remainder when b(r) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 19*c - 20 - 3*c + c + 4*c - 2 + 2*c + 2 + (2*c - 2*c + c)*(-4 + 3 + 2) - 4*c + 7*c + 2*c - 3 + 3*c + 3 + (4*c + 2*c - 5*c)*(-3 - 2 + 7).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-13 + 11 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g - 2. Calculate the remainder when s(1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29175287543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/156)\/(8\/(-32)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1498002\/7 - (-10)\/(-35))*-70. Round l to the nearest 100000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q + 2*q - 3*d + 22, -5*q - 45 = -5*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 131?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = 5*a + 5*l, 5*l + 554 = 6*a + l. Solve -101 + a = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-2)*12\/30. Suppose -4*o + h + 374 = 0, 8*h = -o + b*h + 100. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**4 + 18458 - 14*l**3 - 129*l - 55*l**2 - 18465 - 6*l**4 wrt l.\nAnswer: -24*l**2 - 84*l - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101787*b**2*x**4 + b**2*x**2 + 2*b**2*x - 81*b**2 + 2*b*x - 4*b wrt x.\nAnswer: 1221444*b**2*x**2 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:53 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**5 - 1 - 2*k**5 - 14*k**4 - k + 14*k**4. Let h(c) = -5*c**5 - 12*c - 6. Let q(a) = -h(a) + 6*i(a). What is the second derivative of q(u) wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 22926363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -704, -2420, -5780, -11336, -19640, -31244, -46700?\n\"Answer: -92*l**3 + 6*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 1 - 1 + (2*z**3 + 0*z**3 - z**3)*(-1287*z**2 - 31058*z - 9603*z**2 + 31058*z).\nAnswer: -10892*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5\/2)*p\/(p*p*p**(-11)*p))\/(p**(8\/5))**(-18\/13))**(-22) assuming p is positive.\nAnswer: p**(-21043\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2ae (base 16) to base 5\nAnswer: -10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73, -237, -513, -901?\n\"Answer: -56*v**2 + 4*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 54*s**2 + 171*s + 3501. Give n(-52).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 1*sqrt(2178) + (2*sqrt(2178))**2)*-1.\nAnswer: -8712 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 81*u + 145*u + 437*u)*(3 - 6 + 7).\nAnswer: 2020*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r. Suppose 4*h + b - 15 = r, 4*b = -0*h - 2*h + 4. Suppose 0 = -h*j + 213 + 551. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 53*m + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 4. Let z(q) = q**3 - 8*q**2 - 2*q + 12. Let o(d) = -d**3 + 5*d**2 - 2*d. Let x be o(2). Let i be z(x). Is 8 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*c = 4, 5 = 62*u - 66*u + 5*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -97. Let y = -0.2 + -2.4. Let t = y + o. What is the nearest to -5 in 0.1, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 + 2*b + 25. Let v be a(-8). Put -19, v, 5, -2 in increasing order.\nAnswer: -19, -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.443 - 89057487\nAnswer: -89057486.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/15503 + -1380427\/2557995. Find the common denominator of a and 32\/35.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/6*((-375)\/(-60) - 7). Solve 0 = -12*b + 8*b + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2818*u**3 - 706*u**2 - 12. Let a(w) = 5629*w**3 + 1411*w**2 - w + 28. Let z(k) = 3*a(k) + 7*s(k). Find the third derivative of z(r) wrt r.\nAnswer: -17034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = 2*o - 21, -3*o = -2*y + 18. Let d(x) = x**2 - y*x + 4*x + 7 - 8*x. Calculate d(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -2\/1085 (c) -1\/5 (d) -16 (e) 3 (f) 3\/8 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:50 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 40*r + 18. Let j be o(13). Solve 2*g + j*t = -16, -28 = -2*g - 2*g + 5*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81735 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*((1 + 4 - 3)*(2 - 3 - 1) + 2 - 2 + 1 - 10 + 1 - 2) - 9 + 1 - 3)*(-2*u**2 - 3*u**2 + 0*u**2 + (2*u - 3 + 3)*(-2 - 2*u + 2) + 1 + 2*u**2 - 1).\nAnswer: 273*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -5. Suppose 0 = 67*f - 72*f + 75. Let t = n - f. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*g + 523 - 176 + 167 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 889958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, 0.2, -27, 0.49 in ascending order.\nAnswer: -30, -27, 0.2, 0.49, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:29 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17521 + 17619. What is the remainder when m is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -482 - -4?\nAnswer: -47d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/((-4)\/8). Suppose m*p = 41 - 23. What is the tens digit of (-4)\/p + (-4098)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4\/7, 0.02, -0.94, 0 in decreasing order.\nAnswer: 25, 0.02, 0, -4\/7, -0.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 9*s + 12. Let o(b) = -2*b**3 + 4*b**2 + 2*b - 3. Give o(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300428266 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -8. Let j = -3 + 3. Let o = j + -2. Is n greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 544 + -541. Solve 5*k = -15, 6 = -q*x - k - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 9*b - 54. Let o(x) be the first derivative of 2*x**3 + 0*x**4 + 0*x**2 - 3\/5*x**5 - b - 3*x. Determine l, given that o(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 - 105. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46995.96 grams to micrograms.\nAnswer: 46995960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6)*-130)\/(1 - 0). Suppose 3*f - 670 = j. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t - 92*t - 15 = 0. Find the first derivative of 36*s + 11*s + 21*s - t*s + 44 wrt s.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -205607, -1644912, -5551585, -13159310, -25701771?\n\"Answer: -205614*t**3 - 7*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 11, -5\/2, 1\/15, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5916 and 37\/23766?\nAnswer: 1378428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/102 or 1?\nAnswer: -43\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 28413.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.520154 nanometers to micrometers.\nAnswer: 0.009520154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108260 by -5.\nAnswer: 21652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-3\/2))\/(l*l**(-1\/13)))\/(l**1)**(-1\/51))\/((l**(-2\/9))**(-6\/11))**(-1\/10) assuming l is positive.\nAnswer: l**(117319\/72930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 446*u. Let i(g) = 448*g. Calculate 2*i(b) + 3*o(b).\nAnswer: -3*b**2 - 442*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37, 40, 43, 46, 49, 52?\n\"Answer: 3*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091594 is divided by 1091545?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tetxeetxtxxcxtctte.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14*7\/(-98)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 12*s + 27. Let v(r) = -r**2 - 3*r + 7. Determine 4*u(c) - 15*v(c).\nAnswer: 3*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1631, 3286, 4965, 6668, 8395, 10146, 11921?\n\"Answer: 12*y**2 + 1619*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Suppose 5*y = -w - 9, q*w + 4*y - 17 = -w. Calculate the remainder when 50 is divided by (-6)\/16*-2*(1 + w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v + 3. Let m be p(0). Let s be -2 - (3 - m)\/1. Let x = -1.2 + 0.2. Which is the biggest value? (a) 0.3 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3684\/10745)\/(27\/(-63))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*f - 6*f = -24, -2*i = -3*f + 4. Suppose -d + 15 = i*d. Suppose -6*x + d*x = 0. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 + 2*o + 2. Let r(x) = 11*x**2 - 4*x - 4. Let q = -2923 - -2928. Calculate q*f(j) + 3*r(j).\nAnswer: 3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123161 and 1264.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by -331?\nAnswer: 248\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60523783 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11014 + 19655. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/153219?\nAnswer: 2\/153219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let o(q) = -6*q + 1. Let l(i) = 4*d(i) - o(i). Differentiate l(n) with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27 - 2*t + 3*t**5 + 2*t**5 + 107*t**2 - 71*t**2 - t**5 wrt t.\nAnswer: 80*t**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -19 in ascending order.\nAnswer: -19, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - s + 22 + 24)*(-2 + 2 + 3*s).\nAnswer: -3*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.86 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-14 + -326))\/((-5)\/(-60))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31467.\nAnswer: 3, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/54*a**4 + 6*a**2 + 1\/270*a**5 + 0 + 0*a + 1\/27*a**3. Factor i(t).\nAnswer: 2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88147 divided by -479?\nAnswer: -88147\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2181*t**2 - 14*t**3 + 2210*t**2 + 19*t**3 - 8809*t**2 + 2215*t**2 + 2203*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 111.4, 0, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 - 1. Let n(p) = 4*p**3 + 5*p**2 + 7. Let i(y) = -n(y) - 3*q(y). What is the remainder when 9 is divided by i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15\/4)\/(v\/v**(-27))*(v**(-4)*v)\/(v**(-26)*v) assuming v is positive.\nAnswer: v**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 1. Let f(q) = -74*q**4 - 3*q**3 - 13*q**2 - 1. Let m(c) = -f(c) + 3*v(c). What is the third derivative of m(l) wrt l?\nAnswer: 1776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-l + 1 - 1) + l - 2*l - l)*(0*l**3 - 4*l**3 + 3*l**3).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 5*f**2 + 17*f - 5. Let b be j(6). Let p = 519 + b. Solve -h + 2*z - 5 = 0, -2*h = -6*h - p*z + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 14978725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -474 (b) -6 (c) -4 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*u - 1333648*l**2*u**2 + l**2 + 710*l*u**2 - 87*l*u - 4*u**2 - 4 wrt l?\nAnswer: -12*l*u - 2667296*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 80109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) 14 (c) 25\/21 (d) -0.3 (e) -2\/13 (f) -21.6 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-55)\/5) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1507, 6014, 13509, 23980, 37415, 53802, 73129, 95384?\n\"Answer: -2*i**3 + 1506*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13924099 is divided by 142.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/6 (c) 4 (d) -4 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(84)*3 - sqrt(84))\/(sqrt(36)\/(-2*sqrt(12))) + 0 + 1.\nAnswer: -8*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -386 - -338. What is the remainder when (g\/64)\/((-676)\/224 - -3) is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 189*b**2 - 194*b**2 + 340*b**2 + 3*b in the form i + z*b**2 + x*b and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 3:51 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471056 is divided by 18115?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -373 - -375. Let s be -8 + 5 + 25\/9. Which is the nearest to s? (a) -2\/13 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-12)\/18*-17. What are the prime factors of s\/10*5 - 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 9. Let a be y(6). Suppose a*g = -g + 12. Suppose g*m + 3 = -0*m. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -37. Suppose 5*r + 7 = -s*m + 47, -4*r + 36 = 2*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*(1*(2*sqrt(320) - sqrt(320)) + (sqrt(320) - (0 + -1 + sqrt(320) - sqrt(320)))))**2 + -5)*4 + -5.\nAnswer: 128*sqrt(5) + 5095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40684, -81368, -122054, -162742, -203432, -244124?\nAnswer: -284818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (-46)\/(-6). Suppose 0*i - 5 = i - w, i - 3*w + 3 = 0. Is r > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 158 - 152 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380 + 41*b**2 + 380)*(-2*b + 4 - 4) + 75*b**3 - b**2 - 78*b**3 - b**2.\nAnswer: -85*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9940576 to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 25 - 9 = 0. Let f = -7 - m. Let h = f + 2. Let l(p) = -p**3 + 2*p**2 - 2*p - 2. Let c(z) = 2*z**3 - 3*z**2 + 3*z + 3. Give h*l(y) + 2*c(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -23*t + 80. Calculate the least common multiple of 7 and 2*(-1)\/t + (-147)\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - 1811\/9. Let m be -1*(2*-1 + 3). Let z = 48.5 - 49. Sort c, z, m.\nAnswer: m, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -28*c**2. Let v(j) = -177*j**2 + 4*j. Let w(p) = 206*p**2 - 3*p. Let y(d) = -7*v(d) - 6*w(d). Calculate y(r(t)).\nAnswer: 2352*t**4 + 280*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/252*(-1536)\/(-352)*(-42)\/8\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/24 + t**3\/2 + 29*t**2. Let a(k) = k + 5. What is -4*a(n) + 7*x(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 764\nAnswer: 38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 3 - (-11 - 3). Solve 5*w = 4*h + 12, -h + 3 - d = -4*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:36 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2 + h - 5*h)*(-2*h**2 - 3*h + 3*h) + 18027 + 2*h**3 - 97*h - 36053 + 18022 to l*h**3 + o*h**2 + a*h + w and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = -28. Let b(r) = -35*r + 1. Let m be b(3). Let q = j - m. What is the greatest common divisor of 36 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.6. Which is the closest to 2\/7? (a) 0 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21727 * -4\nAnswer: 86908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453391 is divided by 453381?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/14))**(-1\/33))**(-30) assuming n is positive.\nAnswer: n**(15\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -16. Suppose m*y - 7*y + 9 = 0. Suppose -w + 104 = y*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1380133493 divided by -1.\nAnswer: -1380133493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 + 15. Give b(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/20)\/6*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 2. Let k be h(1). Let l = -0.01 + -0.05. Let t = 3.94 - l. Which is the closest to 1\/2? (a) k (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 35\/(2450\/960)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**5*q - 17*n**3*q - 20*n + q wrt n?\nAnswer: 160*n**3*q - 102*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/546)\/(6\/21)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 - 4*h + 4. Let d be r(3). Let b(y) = y**2 + d*y**2 - 13*y**2. Let w(p) = -6*p. Determine b(w(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 15*w + 5*s = -10, 0 = 2*w + 5*s - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6. Let n be r(0). Let u(i) = -i**2 + 33*i + 176. Let f be u(33). Suppose -f = -14*q + n*q. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + ee856?\nAnswer: ee856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 100.93 and 4873.\nAnswer: 4973.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -4 (b) -2 (c) -1 (d) 329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7 - -28) + -49 + -56?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 316*o - 54607. Calculate c(174).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 317\/385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83.0033 + 83. What is b rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afcffcawwfffcwawa. Give prob of picking 1 w and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1560126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 8. Let b be g(-6). Let d = -5 + b. Let f be (10\/4 - 2)*-2. What is the closest to f in 0, d, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22114 and -57\/8?\nAnswer: 88456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from qllqqrqqkqaqfq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/13*y**2 - 16\/13*y - 140\/13*y**3 + 0 - 50\/13*y**4.\nAnswer: -2*y*(y + 2)*(5*y + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2 = 2*k, 3*k + 22*n - 83 = -4*n + 9*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 47497c?\nAnswer: -474981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 + o - 10. Let d be p(-4). Let h = 699 - d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143.3 + -142.3. Which is the third smallest value? (a) -1\/7 (b) w (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -2455.\nAnswer: 1227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 197?\nAnswer: 9\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*c**3*o**2*r**3 - a*c**3*o*r**3 + 1669*a*c*o**2*r**2 + 6*a*r**3 - 70*a*r + c**2*o*r + c**2*o wrt o?\nAnswer: 4*a*c**3*r**3 + 3338*a*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62225135 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 4 - -10*460\/100 is divided by (60\/9)\/(1\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c + 5. Let i(r) = -473*r - 14. Give 2*i(x) + 6*s(x).\nAnswer: -922*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*i**2 + 86*i - 171*i + 83*i to the form p*i**2 + h + g*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -895 + 6405093073.\nAnswer: 6405092178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*4\/(9 + -5). Let v(k) be the first derivative of 0*k**4 + 0*k**2 + 1 - 6\/5*k**5 + 8\/3*k**3 + n*k. Find the third derivative of v(q) wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -85, -90, -95, -100?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = -5*b, -5*g + 5*b = 2*b - 27. Suppose -4*h = -g*w + 33, 2*w - 42 = -5*h + h. Let u = w - 8. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/15 and -19\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*n**4 - 428 - 3*n - 19 - 48 - 295 - n wrt n?\nAnswer: -80*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.4. What is the closest to -1\/5 in -2\/3, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from vvededvtzeecvede?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561.609 - 563. Let h = -1.4 - a. Round h to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194249 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 3\/5 (c) -4\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34485 (base 9) in base 12?\nAnswer: -11388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190919671.2 rounded to the nearest 1000000?\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -163\/9, 2\/87, -0.1, 0, 1\/10?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 11*r + 44. What is the highest common divisor of 55 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24e0c - -2?\nAnswer: -24e0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58441 + -58436. Let y(s) be the second derivative of s**5\/120 - s**4\/8 - s**3\/6 - s. Let d(h) be the second derivative of y(h). What is d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**3 - 8*n**2 + 3*n - 24. Let l be g(6). Suppose 12*s - 14*s + l = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - u + 9 = 0, 9*u = 6*u + 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7838 + 3631 = 2166*w - 1527 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*a**3 - 9*a**4 + a**4 + a**4 + 8*a + a**2 + a**5 - 21*a**2 = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-216) + 4\/(-160))*-45?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/164)\/(-8 - 261\/(-36)). Let y = -248 + 247. Is p less than or equal to y?\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) 0.055 (c) -5\/2 (d) 28 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:00 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -50, 50, 194, 382, 614?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845 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: Solve -4*l = -3*q + 5, -427*l + 51 = 5*q - 423*l for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 599*b**7\/210 + b**4\/12 + 68*b**3\/3 - 428*b**2 + b. Find the second derivative of y(n) wrt n.\nAnswer: 7188*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3104178395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 609218.635 rounded to the nearest one thousand?\nAnswer: 609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j + 5. Let m(b) = 5*b - 9. Let a(r) = -r**2 - 10*r + 17. Let c(y) = -2*a(y) - 5*m(y). What is 4*c(q) - 9*f(q)?\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 - 33*s**3 - 4831*s + 1721885?\nAnswer: 4*s**3 - 99*s**2 - 4831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23147, 23154, 23167, 23186, 23211, 23242?\n\"Answer: 3*j**2 - 2*j + 23146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -15. Let l(j) = 12*j - 38. Let q be l(9). Suppose -q + 697 = 19*k. Calculate the remainder when k is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/4212)\/(22\/(-1584)*-45)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/2 + 3\/(-2). Let a = v + 2. Suppose -6*x + 3*x = -a. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.81 + 92093105.\nAnswer: 92093113.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8336 by -15.\nAnswer: 8336\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -6147 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27371 is divided by 94.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - (3 - 44) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612125479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 8:35 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120012022 + -100211?\nAnswer: 2112211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/120 + f**5\/12 + f**3\/6 - 9*f**2. Calculate q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 4 (c) -0.098 (d) -0.22 (e) 1.43 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2231, 8214, 18181, 32132, 50067, 71986?\n\"Answer: 1992*r**2 + 7*r + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 4.96. Let b = -0.38 + -12.62. Let s = m - b. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.166? (a) 0.1 (b) 8 (c) 0.05 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9038965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282*(-4 + (-5)\/(-1)).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 4*h + 3. Let c(s) = 3*s**2 - 3*s - 1. Let f(m) = 4*m**2 - 4*m - 1. Let n(i) = 5*c(i) - 4*f(i). Calculate l(p) + 3*n(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 + 13*r - 6. Let d(u) = 3*u**3 + 14*u**2 + 26*u - 13. Let v(j) = 2*d(j) - 5*w(j). What is v(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let l(h) = 2167*h**2. Calculate b(l(m)).\nAnswer: -9391778*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*f - 12*f**3 + 17*f)*(0 + 5 - 3 + (5 + 0 - 3)*(1 - 3 + 4)) as s*f + a*f**2 + u*f**3 + v and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984\/272865 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*v - 21, s + 15 = 3*s + v. Let f be 4\/s - (-8492)\/(-66). Let x = f + 145. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k - 10 = 0. Calculate the remainder when (3 - (-6)\/(-3))*29 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -53 (c) -2\/9 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/8)\/(f\/(f**9*f)))\/(f**6*f**(-5)*f*f))**(7\/8) assuming f is positive.\nAnswer: f**(343\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -518, -1040, -1562?\n\"Answer: -522*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102000221 - 1021?\nAnswer: 12101222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.31 - 4.21. Let v = x + -27. Let y = 6.100006 - v. What is y rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 28. Let b be -30*(-7)\/(p\/640000). What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8766001?\nAnswer: 317, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 352*h. Let s(g) be the third derivative of g**5\/60 - 393*g**2. Determine s(c(y)).\nAnswer: 123904*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3 - 600*g**2 - 18*g - 5 wrt g?\nAnswer: -6*g - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71*b + 254 - 254)*(-4 + b + 4)*(1 - 4 + 1) + (0*b - 10*b + 26*b)*(b + 2*b + 0*b) to the form h + y*b + v*b**2 and give v.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.21. Let c = q - 3.21. What is the biggest value in 0.1, c, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15274593 divided by 3123.\nAnswer: -4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*j - 4 - 0, 2*u = 5*j + 18. Suppose -5*p - u*h = -76847, -5*p + 23102 = -3*h - 53724. Let i = p - -15633. Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 836 and 531212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/6*20\/(-25). Suppose 4*w = i*w + 162. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) - 68\/(-18). Is (-6)\/(u\/(-2)) - -112 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103183450 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1348.1 - -1348. What is the closest to q in 0.1, 4, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235.6 + 251. What is the third biggest value in c, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.4*27\nAnswer: -199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/76 - -163\/836. Let d = -3451 - -3453. What is the biggest value in 3, z, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-4)\/(8\/(-4)). What is the second smallest value in t, -2, 2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694850885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19)\/(-6))\/(21\/(-126)). Let h be (-2)\/4 - 89\/2. Let m = g - h. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116586409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - -1) - (3 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 - -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -55 + 29 + (-4 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let j(r) be the third derivative of -r**4\/12 + r**3\/2 - 8*r**2. Give -j(v) + 4*m(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4015.4 + -1486?\nAnswer: -5501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f = 44*f + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10400*y**2 - 10400*y**2 + 38*y**3 - 59 wrt y?\nAnswer: 114*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08857 + 0.28857. What is the closest to -157 in 0, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504*x**3 + 1938*x - 10293478 with respect to x.\nAnswer: 1512*x**2 + 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g**2 + 2. Let j(x) = -24*x - 3. Let r(l) = 41*l + 5. Let q(y) = 5*j(y) + 3*r(y). What is k(q(f))?\nAnswer: -144*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -28. What is the third smallest value in 11, b, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*f = 5, 0 = -m - f - 2*f - 5. Let p be (-1)\/(-2)*(m - -374). Suppose -p = 2*w - 5*w. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -240 (b) 334.7 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 2.05549?\nAnswer: -1.85549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 3051450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -99\/1391 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19052533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 574 + -539.66. What is r rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 + 3*w + 7. Let q be z(4). Differentiate -17 - 10 - 4*d**q + 31 wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -3*u**5\/40 + 13*u**4\/4 - 71*u**3\/4 + 69*u**2\/2 + 6179*u. Factor v(q).\nAnswer: -3*(q - 23)*(q - 2)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 13*x**5\/10 + x**4\/6 + x**3\/2 - 2*x**2. Let s be 7\/((-21)\/9) + 1. Is p(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*l + 22, -5*s + 28 = 4*l - 3*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/10*(-2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302381 is divided by 376?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/30 - 193\/(-15). Sort 3, -4, 1, a in descending order.\nAnswer: a, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-4)\/(-15)*(-30)\/(-24560)). Let c = -12217\/4 + v. What is the common denominator of 5*(1 + (-28)\/18) and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*4\/18*3. Let u be -1 + 3 - l\/(-2). Suppose 0 = -2*c + u + 1. Let p(q) = -6*q**3 + 2*q**2 - q. Determine p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 - 15385*b**2 + 3331250*b + 6724000 = 0.\nAnswer: -3280, -2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75095.09g?\nAnswer: 75.09509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(1\/11)))\/(w**(-2\/15)\/w)*w**1*w*w\/w**(-8))\/((w**3\/w)\/(w*w**(3\/4)))**(1\/20) assuming w is positive.\nAnswer: w**(34399\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.8. Let v = -0.14 - x. Let n = v + 0.14. Which is the second biggest value? (a) n (b) -1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*p + 641*g - 636*g - 94, -2*g - 134 = 5*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 9030?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1177\/4 - 983\/4. Let o be (25\/132)\/((-7)\/490). Let b = 23\/11 + o. Find the common denominator of b and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24279 + 18754 - 14927 = 1081*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24\/61, 2\/7, 118263, -0.5, 3?\nAnswer: 118263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 2*q**4 - 4*q**4)*(-3*q + 3*q + q).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1031?\nAnswer: -3093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4181.2 * 509\nAnswer: 2128230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/41 >= -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(79170\/(-29))*-14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.1 - -2.7. Let r = w - -10. Sort 0, 4, r in descending order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -37, 38?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8dc7 + -897?\nAnswer: 8530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7434 by 2.\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60258659 or -60258664?\nAnswer: -60258664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/9 - 2 - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 5. Let l be k(3). Let w(g) = -11*g + l*g + 7 - 4*g. Let d be (1 + 2 + -3)\/(-2). Give w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 19 + 1. Let r be ((-3)\/6)\/((-2)\/(-6))*-2. Let x(n) = 7*n - 11. Let l be x(r). Solve -o = a*o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + a + 2*a = 13, -4*c - 11 = -5*a. Suppose 0 = -4*w + c + 11. Determine m so that 54*m**4 - 3*m**w + 33*m**5 - 9*m**5 + 36*m**3 - 3*m = 0.\nAnswer: -1, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2 or 43428?\nAnswer: 43428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -520337 (base 8) in base 16?\nAnswer: -2a0df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*13.7866681\nAnswer: 5.51466724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:44 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 11404 + 108929. What are the prime factors of p?\nAnswer: 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 106 - 19)*(0 + 0 + 2*y).\nAnswer: -224*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d + 150 = -30*u + 137*d, 4*u + 20 = -117*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 140?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6127.8936 - 6122. Let q = f - 3.2143. Let v = 2.69 - q. Round v to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) + 500\/(-28)*(-896)\/(-384)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-288*m + 86*m**2 + 288*m)*(-2*m**2 + 4*m**2 - 3*m**2)*(0 + 6 - 5).\nAnswer: -86*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 22636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 134. Let a = 657 - 571. Let l = a - n. Solve 2*s - 8 = -l*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -550 + -21a71?\nAnswer: -22511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*(-2110)\/633?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -5, 4, -2, -16, -144?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1595877526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -7*u**4\/6 + 7*u**2\/2 - 12*u. What is the derivative of m(r) wrt r?\nAnswer: -28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t. Suppose 0*b = 3*f + 4*b - 4, -2*f + b + 10 = t. Solve f*h + 2 = -14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 482472924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 - (38 + -47 + -6 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 0.7. Let i = 1 + -2. Which is the closest to 0? (a) i (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4262*f**3 - 4264*f**3 + 8525*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1426? (a) -0.02 (b) 0.3 (c) -3 (d) 38.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:19 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4455618343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128314?\nAnswer: 2, 64157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8009 (base 12) to base 8\nAnswer: -33011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1697825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3271*q + 101 = 3274*q + 5*b, 5*q = 9*b - 72 - 141 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 107267?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -9, 146, 1, 0.6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2016))\/(sqrt(10)\/(sqrt(15)\/sqrt(3))))**2 + 2.\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = -60*o + 20*o + 237 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/5 (c) 2072363 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v - 51*v = 90. Let k be 6\/v + 52\/6. Solve 0*i**2 - 145 - k*i - 3*i**2 + 157 = 0 for i.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 175871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 + 137 + 461 + 435*q**2 + 106.\nAnswer: 435*q**2 + 872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 + -153. What is the units digit of n*(199 + -8) - 1*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -27, -31, -35?\n\"Answer: -4*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432))\/(sqrt(9) - sqrt(63)\/sqrt(112)).\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 12.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + (-86)\/(-6). Suppose 4*n = 2*n + z. Let y = n - 3. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87051735?\nAnswer: 3, 5, 1934483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -97*n**5\/60 + n**3\/3 - 52*n**2. Find the first derivative of c(t) wrt t.\nAnswer: -194*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 540. Suppose -4*q + l = -340. Suppose 0 = -5*g + g + q. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -245*c**3\/6 - 9931*c. Let w(d) = -19*d**2. Give b(w(v)).\nAnswer: 4655*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021010230001 + 10?\nAnswer: 2021010230011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68328 + -176950. Suppose -591586 = -3*l - 103720. Let f = l + b. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 12 = -13*t. Suppose 0 = 4*s - 4*y - 4, 2*y - 4 = -2*y. What is the third derivative of -5*m**5 - t*m**2 - m**2 - 7*m**s - 11*m**5 wrt m?\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(0*y - 4*y + 3*y) + 3*y + 2*y - 3*y + (-12 - 4*y + 12)*(3 - 4 + 3) + (4*y + y - y)*(1541 - 673 - 419) in the form a*y + c and give a.\nAnswer: 1789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4886 is divided by 935.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*u + 18, 3*h = h - 4*u - 6. Suppose -h*i + v - 5*v + 38 = 0, -3*v - 15 = -5*i. Solve -i*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 0*h)*(14 - 14 + 8*h) + 3*h**2 - 3*h**2 - 5*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 11*y**2 + 10*y - 7. Let f be 5\/10*3*-8. Give j(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -84. Let n(s) = s + 337. Let l(w) = -26*a(w) - 6*n(w). What is the hundreds digit of l(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q**4 + q + 0*q)*(906 - 906 + 109*q).\nAnswer: 109*q**5 + 109*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/39 and 19\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 6*j - 20. Is s(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.4, -1, -0.1, -0.66, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*y - 24 = -l, 2*y = 5*l - 16. Suppose 4*i + 90 = -10. Let d = i - -29. Solve 4*u = u - 3*c - 12, d*c + l = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 + 0*r**2)*(3*r + r - 6*r) + 8*r**3 - 3*r**3 - r**3 + (3 - 3 - 2*r)*(-52*r + 52*r + 21*r**2) + 4*r**3 + 6*r**2 - 6*r**2 - 2*r**3 - 4 + 4.\nAnswer: -38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2. Let u be ((-72)\/(-45))\/((-2)\/(-10)). Let t be x(u). Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49.845253 and 680.2193.\nAnswer: 730.064553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480253 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/(-110) + 0). Let i be ((-1903)\/n + -11)*6\/(-5). What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - 122) + -1 - (-20 + 4)) + (-6 - -1).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(1 + 2\/4). Suppose y*s + s = 20. Let k = -4.2 + 4. Which is the nearest to k? (a) 1\/2 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 136 = j - 994, 3*y - 540 = 3*j. Calculate the remainder when 233 is divided by y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Which is the closest to k? (a) 5 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2506*y - 2365*y - 4582 = -493 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 69, -0.091, 3\/4, 0 in decreasing order.\nAnswer: 69, 5, 3\/4, 0, -0.091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let d(w) = 10593467*w**2. Give d(z(h)).\nAnswer: 42373868*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 3*m**4 + m**4)*(5 - 5 + 4*m) + (0*m - 2*m + 0*m)*(1 - 1 - 2*m**4).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30376, 121751, 274042, 487249?\n\"Answer: 30458*l**2 + l - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:03 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 34*j - 22. Give w(-16).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -100*l - 9. Is f(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 13 - 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.249 and -3325.\nAnswer: -3325.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2505536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 537575329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -42. Let m = w - 16.9. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x + 40*x**3 - 140*x + 42*x + 46*x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = 21*q - 123 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251780 rounded to the nearest 10000?\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -7*l**4\/6 - 7*l. Let t(f) = 2*f. Calculate h(t(s)).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by -309.\nAnswer: -344\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 67. Does 32 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110022211111 + -10?\nAnswer: -11110022211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 126 + 39)*(15*h**4 - h**4 + 5*h**4).\nAnswer: -1520*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**7\/231 - 9*a**5\/110 - 2*a**4\/33 + 4*a**3\/11 + 70*a + 2. Find r such that u(r) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -523836, -2095290, -4714366, -8381070, -13095408?\n\"Answer: -f**3 - 523805*f**2 - 32*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.38573979 - 0.21434121. Let y = 12.25 - -0.35. Let l = h + y. What is l rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.7313893 minutes in microseconds?\nAnswer: 43883358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.6 + 6.1. Put 0.4, p, -0.3, 0.1 in increasing order.\nAnswer: -0.3, 0.1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {c: 18, j: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdqqqd. What is prob of picking 3 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7*a + 18*a + 228 = -2*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*j + 74*j + 2 = 0. Which is the nearest to j? (a) 5 (b) 0.4 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/312 and 7\/1689.\nAnswer: 175656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2*o + 2. Let l be d(-5). Let c(j) = 4*j**3 - 5*j**2 - j - 8. Let a be c(2). Sort a, l, -3 in ascending order.\nAnswer: -3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322 (base 13) in base 5?\nAnswer: -212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = 49*n + 2*m, 4*n + 2*m = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -41.27.\nAnswer: -42.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5678318 divided by -4.\nAnswer: -2839159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174665 or -174667?\nAnswer: -174667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 1\/112*q**8 + 0*q**7 + 3\/8*q**4 - 1\/10*q**6 - 1\/10*q**5 + 0 - 5*q**2 + q**3 + 0*q. Suppose h(r) = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515 or 232\/7?\nAnswer: 232\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 76826*a - 116600585.\nAnswer: 3*a**2 + 76826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4 + 292*z. Let w(r) = -38*r**2. What is w(d(a))?\nAnswer: -5472*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -6, -5, -2, 3, 10?\n\"Answer: f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i + 3. Let p be (-2)\/(-3) + (-10)\/6. Suppose -3*c + 21 = -3. Let v(k) = c - k - 32 + 9 + 14. Determine p*y(s) - 6*v(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 15*f**3 + 3*f**2 - 15*f.\nAnswer: -3*f*(f - 5)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 559.74 - 368.25. What is n rounded to 0 dps?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3.4. Let r = 1.0135138 + -0.4135112. Let n = c - r. What is n rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501761 (base 10) to base 7\nAnswer: 4156601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -1319*p + 1326*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1804 or 2328?\nAnswer: -3\/1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/2, 3591, -0.4, 0.26 in ascending order.\nAnswer: -0.5, -0.4, 0.26, 1\/2, 3591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-3510)*18)\/((-1)\/((-15)\/6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/(8\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172687638.\nAnswer: 2, 3, 28781273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 2*w**2 - 3*w. Suppose 0 = 5*i + 5 - 0. Let d be (-24)\/(-4) + (i - 3). Give k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 + -0.47. Let s = r + 0.5. Sort -4, -1, s, -0.5.\nAnswer: -4, -1, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**3 + 2*c + 6*c**3 + 2*c**2 + 5*c**3 + 1. Let l be (-8 - 2)*(-3)\/3. Let s = -11 + l. Calculate k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179304409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7950151.\nAnswer: 11, 19, 38039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2960 divided by -5.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13982422?\nAnswer: 2, 1031, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -300 - -300.4. Let y = -0.2321 + 0.0321. Which is the second biggest value? (a) -1\/7 (b) s (c) y (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 12*o**2 - 23*o + 23. Give g(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3981 + 3972. Suppose -3*a + 0*a - 6 = 0. What is the closest to -0.5 in a, 5, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/(-66) + 5*1)\/(8\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 241, 1, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14295 is divided by 1102.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.51, -2\/11, -45, -4 in increasing order.\nAnswer: -45, -4, -0.51, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-351)\/(-9))\/13 - 3\/(3\/(-2)). Solve -3*w = -h*w - 12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {s: 5, w: 5, n: 8}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - ((1 - -7) + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 141*n. Let j(d) be the third derivative of -7*d**4\/24 + 87*d**2 + 1. Give r(j(g)).\nAnswer: -987*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 16 - 4. Suppose -4*a = -8*k + p*k + 150, -5*k + 150 = 3*a. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23344*r**4 + 58555*r**2 wrt r?\nAnswer: -560256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/4766665957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -306*r + 304*r - 5*v, -23*v + 24*v = -2*r + 137*r - 274 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -3*x**3\/2 - 5*x**2\/2 + 129*x. Determine q(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4504 divided by -1126?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5240424 + 5?\nAnswer: 5240432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 1 - 4*p**3 + 0 + 3. Suppose 5*x + 0*x = 0. Let n be -2 + (-2 - -4) + x. Determine f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 + 10*v - 28. Let o be j(4). Let l(p) = -p**3 - 6*p**2 - 11*p - 4. Give l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*q = -2 - 8, 22 = 5*h - 4*q. Let x = 10 - 6. Calculate the lowest common multiple of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 2750.\nAnswer: -7, -6, 2750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1802 and -91\/1166.\nAnswer: 19822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -20333?\nAnswer: -20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((-210)\/(-36) + 2\/12). Let g be -1*(22 + -23 - (-4)\/n). What is the nearest to 0.1 in -1\/6, 2\/3, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*p + 4097*a**2*p**3 + 3107*p**3 wrt a.\nAnswer: -9*a**2*p + 8194*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8052892, 8052898, 8052904, 8052910?\n\"Answer: 6*b + 8052886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 38608*q - 77264. What is k(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.2.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 32467167 = 70*l + 231*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 38 + 77 - 121*k**3 - 5*k**2.\nAnswer: -121*k**3 + 7*k**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -3, -5 in increasing order.\nAnswer: -7, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 4\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*1*(-4)\/48*-6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.9 - 26. Let q = -1.2 + l. Let s be -1 - (-4)\/3*1. Sort -2, s, q in ascending order.\nAnswer: -2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2690*u + 91493. What is r(34)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 9 + 81 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62534?\nAnswer: 2, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 79 - 33 = 0. Suppose -v + 2*y = -s, 2*y + 3*y = -5. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 127 = 3*c - 28, 0 = -3*c - 2*v + 175. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from angnd. What is prob of picking 1 a and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9*j = 858. Suppose 5*l = 8*l + j. List the prime factors of (-2)\/(-11) - (1272\/l + 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 120982812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:41 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477453521\/12444 - 2608639\/68. Let a = -1\/2074 - m. Calculate the common denominator of 33\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -3*n**3\/2 + 5*n**2\/2 - 4*n + 9. Let y(b) = -2*b + 5*b + 7*b - 5. Let a(i) = 4*g(i) + 3*y(i). What is a(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = m + 3, 7*m = 4*m - 3*n + 6. Suppose -y - m + 3 = 0. Solve 0 = -4*o - j + 6, 2*o = 6*o - 3*j + y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2 - 3*w + 19. Let z be u(3). Solve -m - z = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012603 to 7 dps.\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 + 26 = 4*u, u - 2*q - 23 = 0. Let m(x) = x**3 - 15*x**2 + x - 10. Let l be m(u). Put 1, -1, l, -5 in increasing order.\nAnswer: -5, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 10.5. Let s = -10.5 + b. Let d = s - -17. What is the second biggest value in 1, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 441, -4\/9, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/330 + 11458\/374.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 6, 1, -29 in ascending order.\nAnswer: -46, -29, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -1.9. Let r(g) = -7*g + 33. Let o be r(5). Sort h, 0.2, o, -3.\nAnswer: -3, o, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*30*(-32)\/(-720)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 11*m - 80. What is the smallest common multiple of m and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.06, -13, -4, 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + v**2 + 2*v**2 - 261 + 252.\nAnswer: -2*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4729?\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-16)\/(-3))\/(1540\/126 + -13)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3060, 3058, 3054, 3048, 3040, 3030, 3018?\n\"Answer: -x**2 + x + 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 plus -32051439315?\nAnswer: -32051439413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274027 and 39?\nAnswer: 822081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 13) to base 10.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/22 and -97\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:51 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose -4*w - 2*y = -128, 5*w - 192 = 5*y - 2. Suppose -w = -17*n - s*n. Solve -19 = z + 5*a, -4*a - n = -2*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*6\/9*-80. Let w(h) = 3*h + 598. Let u be w(-38). Let y = u + t. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5 + 9. Let o(r) = r + 2. Let l(a) = 1. Let k(i) = g*o(i) - 11*l(i). Let n = -46 + 48. Calculate k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -32880?\nAnswer: 3287c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-9)\/c)\/c*c*c**(-1\/7))\/(c**(-1)*c*c**(1\/5)) assuming c is positive.\nAnswer: c**(-327\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*a + 144498 - 892275 = 0, -v = -2*a - 747779. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2. Let d(m) = 1. Let h(z) = z**2 + 5. Let p(i) = -5*d(i) + h(i). What is p(l(k))?\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h - 1. Let f be ((-100)\/(-6))\/(4\/6). Let t = -11 + f. What is the remainder when i(6) is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9121 (base 10) to base 8\nAnswer: 21641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*y**2 + 26*y**2 - 653*y**3 - 37*y**2 + 643*y**3 + y to the form m + i*y**2 + v*y**3 + n*y and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -16. Let r(j) = j + 4. Let v be r(n). Solve -i = -v - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-8))\/((-45075)\/(-64908)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26488 is divided by 5290.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -5\/2*l**3 - 4*l**2 + 0 - 2*l. What is the derivative of p(i) wrt i?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*u**2 + 2*d**3*u + 143*d**2*u**5 + d**2*u + 98 wrt u.\nAnswer: -2*d**3 + 2860*d**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 343*y**2 + 1473*y + 73340. Give x(338).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 45*a + 47*a - 27*a - 1 in the form h + w*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Suppose -5 - 8 = w - 3*f, -d*f = -w - 19. What is the smallest value in 2, 7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5+-1785\nAnswer: -1788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 54*a**2 + 820*a\/3 + 2000.\nAnswer: 2*(a - 75)*(a - 10)*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78223608?\nAnswer: 2, 3, 19, 211, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 14. Suppose 6*i = 3*i + 42. Let k = -5 + i. What is the lowest common multiple of d and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 101110011000101100110?\nAnswer: -101110011000101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*p**3 - p**2 + 454 wrt p.\nAnswer: 513*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14299 take away -0.4?\nAnswer: 14299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69711 and 9.\nAnswer: 209133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15271 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v + 30. Suppose 7*k = 2*k + v. Suppose -2*l - 2*b = -b - 4, -b = -k*l + 12. Solve -2*i + p = -l*i + 3, p = -1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6152\/108 - (-159)\/4293.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5080 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1659352636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 95190028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209062931, -209062925, -209062919, -209062913, -209062907?\nAnswer: -209062901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537636 bigger than 6537635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/8 + 3 + -3. Let l be (-103*2\/994)\/((-3)\/(-8)). Let r = l + -4\/213. Sort -7, r, i.\nAnswer: -7, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, -790, -2465, -4790, -7753, -11342, -15545?\nAnswer: -20350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 + 7*q - 10. Suppose 0 = 5*i - 4*i + 9. Calculate the remainder when 31 is divided by u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(684) + sqrt(95)\/sqrt(125).\nAnswer: 31*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/5)*t)\/((t\/t**(1\/5))\/t))\/(((t*((t\/(t*(t*t**(-2\/25))\/t))\/t)\/t)\/t)\/t**(1\/2)))**6 assuming t is positive.\nAnswer: t**(603\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 17*m**2 + 17*m + 12. Determine f(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3153312 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18010\/4193 - -727184923\/75474. Let r = i - 9635. Find the common denominator of r and 113\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 58.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 3, z: 1, h: 2, u: 2, q: 2}. Give prob of sequence zr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 118*g + 28. Let q be l(14). Calculate the greatest common divisor of 112 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:57 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*k*s*x**2 - 2*k*x - 3*s*x**2 + 4*s*x - x wrt x?\nAnswer: 40*k*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 4, 0.112, -1\/3 in ascending order.\nAnswer: -1\/3, 2\/19, 0.112, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5054 - -647. What are the prime factors of t?\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*q + 6 = -272*q. Sort -1\/3, 0.5, -5\/11, q.\nAnswer: q, -5\/11, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -23. Suppose -2*m + m - 29 = b. Are -29 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 902319 (base 10) to base 11\nAnswer: 566a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -646*u + 7746. Let n be w(12). What is the third smallest value in 1\/5, 99, n, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + 26. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.821 + 1078.679. What is y rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 69 = -4. What is the tens digit of (m\/(-5))\/(17\/(-986))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2277*j - 280 = -2305*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00196471354 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 83.2?\nAnswer: 1331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/10)\/(116\/290) + 106\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*j**2 - 2 - 269*j**3 - 118*j**2 + 5*j + 267*j**3 - 5*j**4 in the form h*j**3 + x*j**4 + v*j + z*j**2 + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/681 in -1, -0.1, 20, 0.005, 1?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 4*o - 6*o**3 - 9*o**3 + 2*o**3.\nAnswer: -11*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*k**4 + 11*k**2 + 3*k**2 - 8*k**2 + 33*k**4 + 2*k**3 to the form y*k + u + s*k**3 + f*k**2 + x*k**4 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 880589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.44. Let o = p + 0.36. Let r = o - 0.2. Which is smaller: -1\/2 or r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 1 + 4*j - 5*j + (1 + 3*j - 1)*(-2 - 7 + 3) - j + 0*j + 2*j.\nAnswer: -15*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/87817 or -1?\nAnswer: 18\/87817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/7061 or -1?\nAnswer: -1\/7061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -9. Let z be 1*2*46\/4*1. What is the greatest common divisor of q and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.206 - 318489154.\nAnswer: -318489153.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4388167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + -1*10. Calculate the remainder when 4*p\/(-2) - 0 is divided by (88\/12*-1)\/((-8)\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -370. Suppose -124 = -4*b - 4*k, -5*b + 0*b = -4*k - i. What is the greatest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 3, x: 1, b: 5, a: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -227, -131, 3, 175?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1711 and -13641.\nAnswer: 2333.9751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12107 - -20445. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 11*f**2 + 7*f - 6. Let q be m(6). Suppose 2*w - q = -74. What is the closest to -2\/11 in -2\/13, w, 1\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -x - 3*i + 16, 0 = -5*x + 2*i + 46. Calculate the remainder when ((-48)\/45)\/8 + (-814)\/(-30) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(147) + 0).\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/24 - 3\/(-18). Let y be 5 - (x + (-12)\/(-4)). Suppose y*n = -800080 - 39920. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174381.07 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 6) to base 4\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1779370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2295\/39 + (108\/26 - 4). Let i = z - 64. Put -1, 4, -2, i in decreasing order.\nAnswer: 4, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/12*i**4 - 5\/3*i**3 + 0*i + 0 - i**2. Let o be f(7). Sort -1\/4, -3, o in ascending order.\nAnswer: -3, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*p - 325. Let b = p - -234. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/5 - 236*x**4\/3 - 314*x**3\/3 - 4760*x**2. Factor z(o).\nAnswer: -4*(o + 157)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:48 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -41, -17, 27, 91, 175, 279?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1011100011000000 (base 2) to base 16\nAnswer: -b8c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 630\/(-28))*6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 12) to base 7\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2 + sqrt(539) + sqrt(539) + sqrt(539) - -6*(sqrt(539) + sqrt(539) + 5)) + (sqrt(539) + -3 + 1)*4 + 0)**2.\nAnswer: 5586*sqrt(11) + 195020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 31*j + 20. Let i(q) = -q**2 + 7*q**2 - 5 + 4*q + q**3 + 3. Let h be i(j). Solve h*z - 20 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 150819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 4 + 15 - 3*m + m. Let d be o(9). Suppose -17400000 = 4*v + d*v. What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 13188241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4072*f + 3944*f + 3 to z*f + w and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -60, -88, -120?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + 2340\/290?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 25*p - 26*p)*(1 + 1 - 1)*(10 - 150 + 13)*(4 - 3 - 3 + 4 - 1 - 2 - 4 + 5 + 0 + (0 - 1 + 3)*(-1 + 1 + 1) + 5 - 1 - 3 + 3 - 2 + 1).\nAnswer: 635*p + 1270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 13*q**6\/720 - 5*q**4\/12 - 28*q**2. Let v(x) be the second derivative of b(x). Let w(y) = y**2. Give w(v(f)).\nAnswer: 169*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31943\/68 + -9 - 6\/8. Suppose 26*v - 72*v = d. Let o(q) = 2*q + 18. Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**2 + 105454*g - 2. Let b(v) = -14*v**2. What is w(b(n))?\nAnswer: -2744*n**4 - 1476356*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*(-33)\/55.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/3, -0.27, 2\/17, 4 in decreasing order.\nAnswer: 4, 2\/17, -0.27, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (4 - 1))\/(-1). Let w be 1\/(11\/(-3) + (-56)\/(-14)). Let m be ((-1)\/(-9))\/(-1)*w. What is the second biggest value in m, -0.5, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*s**5*x + 1741893*s**3*x**3 + 8*s*x**3 + 5284028*s - 2*x**3 wrt s.\nAnswer: -2880*s**3*x + 10451358*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 423*i**3 + 2*i - 1 + 425*i**3 + 11 + (-3*i + 3*i + 2*i**2)*(-i**2 + 3*i**2 + 0*i**2).\nAnswer: 2*i**4 + 2*i**3 + 2*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 4, o: 2, r: 2, q: 1, i: 1}. Give prob of sequence xrq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let g = 43 + -43.2. Let o be (0 + (-16)\/(-14))\/2. Which is the nearest to 0? (a) o (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/5)\/4)\/(748\/170)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 15) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 times 585.8?\nAnswer: 1022806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416048098?\nAnswer: 2, 208024049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*a**3 + 7121*a**2 - 634036*a + 31684.\nAnswer: -(a - 178)**2*(20*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z*z)\/(z*z**(-2)*z)*z**9\/(z*z*((z\/(z\/((z\/(z**(2\/7)*z*z))\/z)*z)*z)\/z)\/z*z))**45 assuming z is positive.\nAnswer: z**(4500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -1702, -3735, -6572, -10207?\nAnswer: -14634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 148 - 298 + 151 - 48*u**2 in the form g*u**2 + n*u + p and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*l + 0)*(664 + 512 - 399)*(-l - 2*l + 2*l) to r*l + n*l**2 + z and give n.\nAnswer: -1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0*o**2 + 2*o**2 - 3*o**2. Let j(b) = -4*b**2. What is d(j(x))?\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 22 = 3*n + 6, -54*b - 35 = -49*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**3 - 143*n**2 + 558*n - 155. Calculate l(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2\/4 - 33*a\/4 + 9 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.985 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -22*d - 19 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(36) + (-1 + sqrt(304))**2 - (2 + 2*sqrt(76))**2.\nAnswer: -71*sqrt(19)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-18)\/(-756))\/(-1*1\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 212 - 518 = -4*f, -4*o + 585 = 3*f. Suppose 0 = 4*x + 164 - 864. Suppose -4*a - w = -o, 0*a + x = 5*a - 5*w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(30\/(-4) + -1). Suppose 3 = 5*j - i. Solve f = 2*f - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/240 - 11*v**5\/60 + 37*v**4\/16 - 15*v**3\/2 - 56*v**2 - 48*v. Let i(d) = 0. Calculate d.\nAnswer: 1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsskksstt. Give prob of picking 1 t and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 + 382. Let l be a\/(-69)*(1 - -2). Let g be 4\/6 + 74\/(-120). Is l < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 2*t + 3 - 3*t + 4*t.\nAnswer: 5*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + y = 153, 2*a = a + 5*y - 45. Let c = a + 26. Is c + 1\/(4\/2060) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14146.\nAnswer: 2, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h**2 + (2*h + h - h)*(-2 + 2 + h) - h**2 + 2*h**2 - 2*h**2 + 0*h**2 - 4*h**2 + 3*h**2)*(-3*h - 2 + 2)*(14*h - 24*h + 36*h).\nAnswer: 156*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 587926026 to the nearest integer?\nAnswer: 24247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (2 - 13 - (-16 - (-12 + -2))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h*h**39*h)\/h))\/h))\/h*h*h)\/h**(-6\/7)*(h*h*h**27*h)\/h*h*h*(((h\/h**12*h*h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(433\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452764696.\nAnswer: 2, 293, 419, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l - 9. Let a(f) = -26*f + 13. Let n be (-134)\/(-1675) - (-346)\/50. Give n*w(x) + 5*a(x).\nAnswer: -11*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -1 (c) -2\/31 (d) -2 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2*x**2 - 2*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13949 - -13984. Calculate the remainder when 345 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 48*d - 17*d - 1 - 25*d - 17*d. Determine h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1658 (base 14) in base 15?\nAnswer: -12b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1667757*q. Let h(l) = -77*l**2. Give h(c(u)).\nAnswer: -214168832650773*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 28. Let d be v(6). Let h(x) = 60*x**3 - x**2 + 2*x - 1. Let k be h(1). Suppose 6*r - k = d*r. Solve -a = -3*y + 17, 4*y - a - r - 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b. Let s be x(3). Let k = s - 6. Let y = 2 + k. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 762, 2087, 3962, 6387?\n\"Answer: 275*j**2 + 500*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20250 and 8780490.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (3 + 1)*-1. Let o(l) = -l**3 + 17*l**2 + 2*l - 30. Let d be o(h). Solve -t - 3 = -d*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 57\/7 of a week?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7913, -5266 in ascending order.\nAnswer: -5266, -3, 7913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 14*w + 54. Let c be l(8). Let g(s) = c - 2*s - 6 - 3 + 33. Calculate g(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708527 = 41*r + 11*r - 706499 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.198 - -0.008. Which is smaller: 2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let o be h(-20). Let i = o + 24. Suppose 0 = -y + 2*r + 13, i*y - r = 8*y - 7. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 + q**4\/4 - 2*q**3\/3 + q**2 + 6*q. Let a be 2 - 4\/(-2)*2. What is x(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - 5*c**2 - 9*c + 5. Suppose -2*n = -4*v - 12, -v + 2*v = 5*n + 15. Let s(x) = -5*x**3 - 8*x**2 - 14*x + 8. Calculate v*s(q) + 8*a(q).\nAnswer: q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by (-1312)\/369*(-36)\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 9) in base 16?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r - 7*r + 2*r - 1 - 5*r - 2*r.\nAnswer: 19*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83724, -167460, -251198, -334938, -418680, -502424, -586170?\n\"Answer: -z**2 - 83733*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 12) in base 11?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 1207?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224296 and 10592?\nAnswer: 296967904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 994, 1408, 1988, 2734?\nAnswer: 3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 40*f**2 + 3*f. What is c(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 27 = -30*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -2545, -5729, -10187, -15919, -22925, -31205?\nAnswer: -40759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 0*x + 0*x)*(-3*x**2 - x**2 + 3*x**2) + (x**3 - 3*x**3 + 3*x**3)*(x**2 + 3*x**2 - 3*x**2).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4 + 685*y + 4 - 684*y. Suppose r + 19 = 2*u + 6, -47 = 5*r - 4*u. Calculate j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, 1, 7353 in ascending order.\nAnswer: -26, -3, 1, 7353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 40 = -g - 2*c, 0 = -4*g + c - 71. Is -17 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/(-7) - -22) + (4 - -1). Let a be (42\/8)\/(1\/4). Solve -6*c + 3*u = -c - g, -5*c = -4*u - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153443217 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614\/(-4)*((-18360)\/195 - 4\/(-26))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 2*m + 1, -2*f = -m + 4. Let i(n) = n**2 + 2*n. Let u be i(f). Suppose -x + u*x = -40000. What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjjppnpnpnppn. Give prob of sequence np.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 4*o + 4*t + 4, o - 24 = 4*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1124141423 (base 5) to base 6.\nAnswer: -131014323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171779 and -503641.\nAnswer: -675420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q**3 + 0 - 1\/30*q**5 - 6*q**2 + 0*q**4 + 0*q. Let m(k) = -4*k**2 + 43 - 43. Give m(x(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42*(66\/12 - 5) and 51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 19. Let z(m) = 5*m + 15. Let b(t) = 4*d(t) + 5*z(t). Let j(c) = -c. Give b(v) + 3*j(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05992 to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -1388.7?\nAnswer: 83.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(1*2\/(-28)). Solve 2*x - i = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -16*x + 11*x + 3*p + 8, -2*x + 74 = -4*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**3 - 4*v - 2. Let b be r(-2). Is (b\/56)\/(-1*(-2)\/136) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2564344480 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:10 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 945626 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*q - 40, 34*q - 33*q - 5*n - 59 = 0. Solve 17 = 12*m - q*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/177 and -13\/4425816.\nAnswer: 261123144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -676 divided by -2?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.8 in -28, -0.03, -178?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/80208 and 53\/672.\nAnswer: 1122912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.1921 less than 2.5?\nAnswer: -134.6921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5472020 (base 9) to base 10\nAnswer: -2940804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23. Suppose l = 4*a - 2*a + 630. List the prime factors of (12\/10)\/((-18)\/a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*f + 2. Let o(j) = -j + 10. Let t be o(f). Solve 0 = t*m + 7 - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 166*k - 83*k - 7*k**3 + 3*k**2 - 83*k in the form z + f*k**2 + b*k**3 + r*k and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.023 + 0.977. What is the closest to -2\/3 in -1, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -50, 5, 12 in decreasing order.\nAnswer: 29, 12, 5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289937249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*j**5*o**3 - 2*j**3*o**3 + j*o**3 + 110*o**3 wrt j?\nAnswer: -620*j**3*o**3 - 12*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -275, -378, -501, -650?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 20231313211?\nAnswer: -20231313231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 6*-4*(sqrt(832) + (sqrt(832) - 4*(-3 + sqrt(832))))**2*2).\nAnswer: -333304 + 36864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3532 - -0.9468. Do -91 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 11) to base 9.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -888131, -888154, -888189, -888230, -888271, -888306?\n\"Answer: h**3 - 12*h**2 + 6*h - 888126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10 and -3\/106?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (7 - 8)\/((-2)\/2). Find the third derivative of 12*s**2 + 15*s**2 + 4*s**6 - 33*s**2 + 24*s**r wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1\/3*v**3 - 1\/4*v**4 - 1 + 10*v + 0*v**2. Let l be p(0). Solve -l = q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -225, -2\/9, -2, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 843096647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 1. Let t = -0.1 - i. Let x(d) = -d**2 - 2*d - 5. Let o be x(0). Which is the second smallest value? (a) o (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 16d6d?\nAnswer: 16d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 17*q**2. Let l(m) = -3*m - 1521538. Determine l(r(j)).\nAnswer: -51*j**2 - 1521538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:55 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:57 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -272*(-1)\/32 - 1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -10.662376.\nAnswer: -58.662376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(5) + 4*sqrt(5)*-1 + -1*(sqrt(5) + sqrt(20)\/sqrt(4)))**2 + -2)*-2)*-5.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2286, -4570, -6854, -9138, -11422?\nAnswer: -13706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007 is divided by 211.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5 + 0 + 4*d - 10 - 3*d. Let w be b(15). Let x(g) = 5*g - 69 + 69 - 4*g. What is x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 921425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 - 10531*a**3 + 31600*a**2 - 21068*a = 0.\nAnswer: -10534, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 44, -22, -146, -346, -640?\n\"Answer: -3*v**3 - 2*v**2 + v + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6283, -6286, -6299, -6328, -6379?\nAnswer: -6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 < 965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/64 and -67\/32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129966358661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.04 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 105 = 3*v + 4*c, -v - 4*c + 33 = 0. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 4, t: 2, m: 7, u: 2}. Give prob of sequence am.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753398.\nAnswer: 2, 11, 170609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = m. What is the units digit of 440\/6 - m\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/14829?\nAnswer: 1\/14829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3550560 (base 8) to base 13.\nAnswer: 280037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 140783821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.4 (c) 5\/9617 (d) -3\/2 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2844 + 2847. Suppose 0 = -2*f - 0*f + 4. Solve -q*b + 15 = f*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 33595793.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2215 - 2425 = -30*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 25 - 585 = 0. Suppose 3*f - s - 139 = 0, 2*s = -3*f + 4*s + b. Suppose 4*g = 2*i - 36, -5*g = -2*i - 0*i + f. Which is smaller: -11 or g?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12138, -12152, -12178, -12222, -12290?\nAnswer: -12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -882013 by -3.\nAnswer: 882013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -9.2. Which is the fourth smallest value? (a) r (b) 0.3 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 527*h - 525*h + 29, -17 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dos when three letters picked without replacement from {o: 1, k: 2, e: 1, s: 6, d: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*d + 9102 + 2638 = 0 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*i = -15, -20 = 4*m - m - 4*i. Let q = 3 + -1. Find the first derivative of m*j**2 - 3 - 2*j**q + 1 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - z)*(-3*z + 6*z - z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 49. Let t(x) be the first derivative of 8*x**2 + 822. Give b(t(r)).\nAnswer: -32*r - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.14974 rounded to zero decimal places?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 164*a**2 + 6724*a.\nAnswer: a*(a - 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**3 - 4*u**4 - 10*u**3 + (u**2 - 3*u**2 + 5*u**2)*(-2*u**2 + 4*u**2 + 0*u**2).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -25. Is 2 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 100 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*k = k - 22, 4*w - 5*k = 30. Suppose 2*n - l = l + w, -3*l - 1 = 4*n. Solve -4 = -h + n*f, -3*f - 28 = 3*h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852823473.\nAnswer: 3, 284274491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/9, 0.7, -0.2, 0.1, -0.8, 5034?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - 12. Suppose -d = -4, -5*u - t*d = -0*d - 6. Does 4 divide -3 - -4 - 18\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = 36 - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -7. Suppose 3 = 4*l - j. Suppose f + 28 = 4*p + l*f, 5*p = 3*f + 75. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*v - 48, 3*d - 5*v + 2 - 3 = 0. Let i be (3850\/4)\/d + 7\/14. Let f = i + -134. Solve 3*o - 3*b + 6 = 0, 0 = o + o + b + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4078221305.\nAnswer: 5, 59, 13824479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*(75 - 0). What is the highest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 14. Let o be b(4). Let j = -1 + o. Solve 5*l = -0 + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13454 (base 8) in base 5?\nAnswer: -142212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h - 1. Let v(s) = s**2 + s - 1. Let g(k) = -3*k**2 - 2*k + 5. Let j(c) = -g(c) - 4*v(c). Give 6*f(n) - 4*j(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllljlrjrr. What is prob of picking 1 j and 3 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3142 and 254.\nAnswer: 399034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:16 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5463286769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*c + 386*c**2 + 67*c + 325*c**2 as n*c + l + r*c**2 and give r.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/9)\/((-2)\/6). Suppose -f*t + 77 - 27 = 0. Differentiate 0 + t*z - 5 + 2 wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6107906?\nAnswer: 2, 7, 436279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 167\/12 - -7. Let k(a) be the second derivative of 1\/24*a**4 - 3*a - h*a**3 - 1\/4*a**2 + 1\/40*a**5 + 0. Determine i so that k(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*w + 9 = -144*o + 145*o, 4*o = 36 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11882631 is divided by 1420.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u**9 assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-35)*(-2)\/16\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/16 + (0 - (-112)\/54). Which is the nearest to 0? (a) 0.2 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 12*h**2 + 5*h. Let c(o) = -84*o + 330. Let v be c(4). Let p(t) = 5*t**3 - 13*t**2 - 6*t. Determine v*r(y) - 5*p(y).\nAnswer: -y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -l - 4*l, 0 = -4*l - 5*h + 9. What is the units digit of l\/(-10) + 46\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40925, -81849, -122773, -163697, -204621?\n\"Answer: -40924*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201 + 207 - 625*s + 8*s + 347*s with respect to s.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 - 4*d - 6. Suppose -15 + 285 = 18*q. Suppose -3*r = -2*t + 7*t - 10, -q = -5*t - 2*r. Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78*(-1)\/(6\/(-28)). Let y be 1*9\/12 - 1435\/(-28). Calculate the greatest common factor of z and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 9729, 2, 7, -5, -2 in increasing order.\nAnswer: -11, -5, -3, -2, 2, 7, 9729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 11. Let w = z + -200. Let t = w - -180.9913. What is t rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6)*90\/25)\/((-46)\/690). Solve 11*p = o*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234250 at most as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40018 divided by -1819.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3773 divided by 43.\nAnswer: -3773\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137.02 + -141. Let i = -0.02 + q. Which is the closest to -3? (a) i (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 4. Suppose 5*d = 5*v + 50, -4*d - 11 = -5*v - 61. Let q be (-4)\/v - (108\/30)\/(-6). Which is the nearest to q? (a) -1\/4 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(2*17\/408*12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 3*n + 352 - 418 = -24*i, -25 = 5*i - 2*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358 + -357.6. Let a = j + -0.7. Let d = -14 - -7. What is the closest to d in 4, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from vpipfppypgyff.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.04, -13, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 135. Suppose -3*d + u = 2*d. Let w(f) = -f**3 + 9*f**2 + 2*f - 7. Let i be w(d). What is the greatest common divisor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h + 1190 - 406 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(-2\/11)*n*n*n**(-14)*n*n\/(n**(-15)*n) assuming n is positive.\nAnswer: n**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 2*n = -12, 2*l - 5*n + 2 = 0. Let y be (1\/(-3))\/((-1)\/6). Suppose 6*g - 4*g = 3*u + y, 0 = u + l*g - 18. Is u <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 483 + 24303?\nAnswer: 24786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 + -0.1. Let o = j + -0.06. Which is smaller: 1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - 0*x - b, -4*x + b + 9 = 0. Suppose -2*r + 32 = u, x*r + 3*u - 34 = u. Suppose -6*m + 5*m = -75. What is the greatest common factor of r and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.05672 nanograms in kilograms?\nAnswer: 0.00000000006405672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3\/3 - 72*v**2 + 700*v\/3 + 304 = 0. Calculate v.\nAnswer: -57, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 792979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -57*h. Let y(w) = 645884*w**2. What is y(n(q))?\nAnswer: 2098477116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*a + 9, -2*a = 2*v + 2 + 2. Suppose 12 = -4*p, p - 8 = 3*n - 2. Let y = v - n. Solve y = -4*d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -70, -181, -342, -553?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18536202*i**3 + 102420217*i**2 wrt i?\nAnswer: -111217212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Let b = 12 - f. Let x(p) = 2*p**2 + 6 - b + p. Let c(u) = u**2 + u. What is -c(l) + x(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1992298 rounded to three dps?\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63927257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 140. Let n = -23 + v. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 634 (b) 0.037 (c) 3 (d) 2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148494 + -89537. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + (-99)\/15)*15\/(-6). Suppose 0 = 2*b + 6 + 2, -d*y + 5*b + 24 = 0. Solve -y = -c + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3828)\/203)\/22)\/(4\/(-10))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/11))**(5\/8)*(b**4)**(-39))**(-4\/31) assuming b is positive.\nAnswer: b**(6869\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**4\/24 - x**3\/6 - 14*x**2. Suppose 2*a - 2 = 3*z, -z - 2 = 3*z - 3*a. What is the units digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 4*c - 5. What is y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -1112?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = x - 1329, -2*s - 1457 - 5201 = -5*x. What is the highest common divisor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 508530 and 14807?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1412*l**2 + 3*l - 1406*l**2 - l**3 - 4*l - 2 to the form k + j*l**3 + a*l + v*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 2*h + 1840. Does 46 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 a, and 1 t when four letters picked without replacement from {t: 1, c: 2, f: 2, o: 1, a: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 58.3. Which is the closest to -1? (a) -7 (b) x (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2\/5, -8810, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 8 + 53*g + 60*g.\nAnswer: 113*g + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 1. Suppose -3*d = 3*d + 6. Calculate n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 77 - 118 = 0. Calculate the greatest common factor of l and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from hlhrhrrurrrlrlrhcrr?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20349 * 109\nAnswer: 2218041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1481908 - 359808832.\nAnswer: -359808832.1481908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 4, y: 1}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3290 - 1464 + 4160 = -102*r - 1766 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 42*a**2 + 176*a + 889. Is r(-73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.1092\nAnswer: 0.003276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5994 and 3726.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2284*d**2 + 2299*d**2 + 2301*d**2 - 6883*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 23932, 2\/3, 2\/7, 3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d - 35. Let u = d + -9. Let b be (u\/(-3))\/(2\/(-9)). Let j(f) = 3*f. Give j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(315) - sqrt(350)\/(sqrt(20)\/sqrt(2)))\/(sqrt(245) - 4*(sqrt(245) - (sqrt(245) - 1*sqrt(245)))).\nAnswer: -5*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjfffffffjfffffjff. Give prob of picking 2 f and 2 j.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/119 - (-102)\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*v - 173*v - 222*v - 140*v to n*v + b and give n.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5072.86045 + -5073. Let u = 0.14 + i. Round u to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyzyzzzzbzyoyyzbzyyo. Give prob of sequence yoy.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10066 and 14380?\nAnswer: 100660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - (3 - 3)) + (-16380)\/390.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 157, 0.3, 2 in descending order.\nAnswer: 157, 2, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(1\/28)*r**(2\/25)\/(r*r**(1\/9)\/r) assuming r is positive.\nAnswer: r**(-559\/25200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-8150)\/46455)\/((-4)\/(-6)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 65072*u**3 + 377452984*u**2 - 917557171440*u + 795312757664100 = 0.\nAnswer: 2505, 5629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 18*x + 71. Let q be v(7). Let i(u) = 3*u**2 - 17*u. Let h(c) = c**2 - 6*c. Determine q*i(j) + 17*h(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 4, 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 0, -4 in decreasing order.\nAnswer: 11, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 0 + 18 - 10 + 1.\nAnswer: -11*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0.122 in ascending order.\nAnswer: 0.122, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546739 divided by 17?\nAnswer: 796867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 8*a - 9*a)*(-19 - 13*a + 19)*(-12*a**3 + a**3 + 16*a**3 - 3*a**2).\nAnswer: 65*a**5 - 39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 925 and 50?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3872 and 32.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 2466740*p.\nAnswer: 2*p*(p - 1233370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6972580, 6972579, 6972578, 6972577, 6972576, 6972575?\nAnswer: 6972574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*q*w**2 + 151424*q - 286900*w**2 - 3*w + 1 wrt q?\nAnswer: 6*w**2 + 151424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -367396, -734606, -1101820, -1469038, -1836260, -2203486?\n\"Answer: -2*v**2 - 367204*v - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 112, 144, 198, 280?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 122 = -3*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -207659.4814 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078086148 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-2584)\/102 - -27) + (-5)\/(-2))*3. Let q(v) be the first derivative of -5\/4*v**4 - 5\/3*v**3 + r*v**2 - 12 - 15*v. Solve q(y) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072018274 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(1331) - 4*1*sqrt(1331))**2 - (2 + (sqrt(1331)*3 + -2 + sqrt(1331))**2).\nAnswer: -9314 + 374*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*s = s - 188, -3*j = -5*s + 314. Let m = j + 123. Suppose 30*c - m*c = 70. Solve t - 2 = 3*l, -2*t - c = t + l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.106126895 rounded to three dps?\nAnswer: -7.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + (-65)\/(-15). Suppose 0*t - v*t = -140. What is the lowest common multiple of t and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 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 m(p) = p - 1. Let w(r) = -887*r - 103785. Let z be w(-117). Let x(l) = -3*l - 5 + 5*l + 2. Calculate z*x(d) + 10*m(d).\nAnswer: -2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5151*-29\nAnswer: -149379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Suppose f - s = -0*f. What is the third derivative of f*j + 3*j**2 - 3*j**4 - 5*j + 2*j wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 4502291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -12) + (-16 - -9). Let i(k) = -7*k**3 + 2*k**2 + 2*k - 4. Let m(w) = 8*w**3 - 2*w**2 - 3*w + 5. Give n*i(z) - 2*m(z).\nAnswer: 5*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12074, 3, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 36 + 36. Suppose -4*j + 2*l - 4 = v, j - 5*l = -10. Let o = 1 - -1. Which is the closest to 0? (a) o (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-32*s**2 + 4240 - 4240) + s**2 - 5*s + 5*s to the form k + d*s**2 + h*s and give d.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/19 + 2867612*z**3\/19 - 25808616*z**2\/19 + 77425956*z\/19 - 77426010\/19.\nAnswer: 2*(z - 3)**3*(z + 1433815)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 3, t: 3, g: 2, x: 1, i: 4}. Give prob of picking 2 t and 1 i.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x - 3. Let f be h(4). Let c = f + 67. Solve -1 - 12 = 3*i + c*a, -4*i = 4*a + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 31, 48, 65, 82?\n\"Answer: 17*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-5)\/(-5) + -3. Suppose z = -0*j + 4*j. Solve 10*i - 9*i + 1 = j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, e: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*g = 64, -g + 3*g + 22 = 2*h. Let a be 6\/9 - (-64)\/(-6). Let k = 14 + a. What is the least common multiple of k and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v + 66*v + 722 = 818 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:46 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8))**(4\/3)\/(z*z\/z**6*z*z*z**(-4\/11)\/z*z*z*z) assuming z is positive.\nAnswer: z**(-340\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2786, 6324, 12220, 20474, 31086?\nAnswer: 44056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/40 - u**5 - 73*u**4\/8 + 46*u**3 + u**2 - 13*u - 66. Factor n(t).\nAnswer: 3*(t - 23)*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*b + 2581 + 1949, -2*b + 4500 = 5*q. What are the prime factors of q?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 452 = -p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 124450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-30))\/((-54)\/(-10)). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 5. Is 4 a factor of c\/3 + 33\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 62\/765 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = w + 4*x, 4*w + 0*x - x - 646 = 0. Let z = w + -1927\/12. Let l = -44 - -45. Is z less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g - 9*g + 23*g - 78. Let a be f(27). Solve -8 = -2*t + k, -4*k + 2 = -a*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 + 18*h\/5 - 24\/5.\nAnswer: 6*(h - 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, c: 2, m: 1, a: 8, g: 1}. What is prob of picking 1 m and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/20 + 2*z**4\/3 - 11*z**3\/3 - 6*z**2 + 40*z. Let l be k(-10). Solve -29 = -5*w - a, -3*w + 7*w - 3*a = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -0.4, 2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1456156 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 2*q + 6*q)*(-q + 0 + 0) + 0*q**2 - 4*q**2 + q**2 + 4*q**2 - 5*q + q**2 + 2*q.\nAnswer: 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7426 + 15897. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175590*d*i**4 - 1417*d*i**2 + d + 3*i**4 - 445*i**2 wrt i.\nAnswer: -4214160*d*i + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 at least -250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1. Let n(x) be the third derivative of -5*x**4\/8 - x**3\/6 - 14*x**2 - x. Determine -j(y) - n(y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-8)*17\/(-34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 27*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8605 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863150910.\nAnswer: 2, 5, 157, 1823663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**9\/1260 + j**5\/20 + j**4\/4 + 4*j. Let q(b) be the third derivative of a(b). What is the derivative of q(u) wrt u?\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12)\/(5\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 87. Let t be j(-22). Solve 5*g - 3*x = t, -14 = 4*g + x + 4*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1226.49841.\nAnswer: -1226.49841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -52. Let c(g) = g**3 + 12*g**2 - 9*g + 3. Let q be c(o). Let d be (-29939035)\/q + -1 + 2\/7. What is d rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88865.3ml in litres?\nAnswer: 88.8653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**3 - 8*i**3 - i**3)*(-8 - 2 + 6).\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 41 = 3. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00333 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1049229967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(1 + -2*sqrt(684)))**2 - (-1 + -1*sqrt(684) + -2 + sqrt(684)))*-1.\nAnswer: -10946 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 27029.67 years?\nAnswer: 27.02967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + r + 246, -4*g - 2*r + 954 = -0*r. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-24) - (-286)\/8. Let a = 54 - l. Let o = a + -8. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 503519 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20*((-5)\/25 + (-21)\/(-30)). Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51328.6 and 0.3.\nAnswer: -51328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 3*k + k**2 - 10946 - 1336*k**3.\nAnswer: -1336*k**3 - 3*k - 10946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n**3 - 84*n**2 - 72*n - 395. Calculate w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15862 and 8162?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -728 (base 15) to base 6\nAnswer: -11245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.2. Let v = 1210 - 1209.2. Let x = v - p. Sort -4, x, 1 in increasing order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 2*z**2. Let a(n) = -n**3 - 3*n**2 - 8*n - 8. Let v be a(-4). Let q = -37 + v. Calculate k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 309*j + 9234\/5.\nAnswer: (j - 1539)*(j - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -12 in ascending order.\nAnswer: -12, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, p: 4, u: 1, a: 2, k: 2, n: 1}. Give prob of sequence kppp.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 48. Let i be z(24). Suppose 59*n = i*n. Let k(p) = -p - 12. Determine k(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16467 is divided by 343.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-498)\/36 - (-4)\/(-24)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4668242043 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 - 18822*p + 566460 = 0. What is p?\nAnswer: -9441, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g + 2*g)*(-7 + 2 + 3) + (3*g - 3*g + 2*g)*(6 - 2 + 14).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**3\/11 - 540*h**2\/11 - 1086*h\/11 + 1432. Find d such that q(d) = 0.\nAnswer: -1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 20 (b) -0.2 (c) -12 (d) -2.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o\/(o\/o**(-5\/3)))*o**(1\/29)\/o*o*o\/(o*o*(o*o\/(o\/(o*o*o**1*o)))\/o*o)*o)**(2\/43) assuming o is positive.\nAnswer: o**(-52\/3741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 17*u - 25. Give k(-10).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 88 - 39 - 3*u - 22.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - 1) - (119 + -120 + -28)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892848454?\nAnswer: 2, 23, 137, 141677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8471265 is divided by 100848?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 367, 1629, 3725, 6655, 10419, 15017?\n\"Answer: 417*g**2 + 11*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -519539 - 48?\nAnswer: -519587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -25. Let o be 64\/(0 + w) - 2. Let m = o - -29. What is the remainder when 30 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1132 or -108479?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42375255571683 and 0.\nAnswer: -42375255571683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(81) - (-1*sqrt(81) + sqrt(81) - sqrt(81))))**2*3 + 3.\nAnswer: 43\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496178*t**2 - 496195*t**2 + 6 - 17 - 8.\nAnswer: -17*t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -238, -252, -282, -334, -414?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*x, -103 = 5*h + 4*x + 2 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 10*w + 43. Let j be y(-13). Suppose 0 = j*l + 3*n - 111, 3*l = -0*n - 2*n + 82. Calculate the lowest common multiple of l and 13.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 8153*s**3\/3 - 7424*s**2 + 14283. Find the second derivative of b(u) wrt u.\nAnswer: 16306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 7*j + 7*j. Let v(y) be the third derivative of -y**5\/60 + 8*y**2. Determine v(d(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*n + 1. Let z = 110 - 110. Let c = -0.3 + 0.1. What is the nearest to z in c, n, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(-3)\/7. Let l = 3.1 - -0.9. What is the third biggest value in l, o, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) 5 (c) -19 (d) -4\/7 (e) -2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -178303 - -34086.67\nAnswer: -144216.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-104)*-8)\/(1\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -20. What is the remainder when 64 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2317 + 1279 = 124*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -7*a**3\/6 - a**2\/2 + 3*a. Let t be x(-1). Let j be (t + 4\/(-2))\/(3 + -1). Solve -j*v + 7 + 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 - -4)*1. Suppose -z - n - 11 = 2*n, 0 = -q*z + 4*n - 33. Let y = -4 - z. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -217, -624, -1235, -2056, -3093, -4352, -5839?\n\"Answer: -x**3 - 93*x**2 + 77*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 - 2 + 2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - v - 31, 25 = 4*z - v. Suppose z = 6*j - 30. Differentiate j*o**3 + 13 + 5*o**3 - 45 + 4*o**3 with respect to o.\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92721304 to the power of 1\/2, to the nearest integer?\nAnswer: 9629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikk. Give prob of picking 1 k and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 2\/5, -4, 1578?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2211001?\nAnswer: 2210333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = 0. Suppose i*x = x + 1. Is x smaller than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 15*u - 80340 = 0. Suppose -4*l - 1075 = -5*y + u, 4070 = 4*y - 5*l. List the prime factors of y.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 5 - (-3)\/(-3). Let n(k) = k**3 - 11*k**2 - 28*k + 29. Let v be n(13). Solve t = -v*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -b - 11, -4*b - b + 2*y = -14. Solve 15 = -b*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2 + 157*o + 183. What is u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times -0.022876?\nAnswer: -2.218972","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16*u - 34. Let a(y) = -1 - 22*y + 41*y - 20*y. Let x(m) = -3*a(m) + h(m). Let t be x(-11). Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 34*n + 2*n**2 - 35*n.\nAnswer: 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 459\/90?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -1506 + 1502 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 3 = 0. Let p be k\/14 - 22\/(-77). Find m, given that m**3 - m**2 - 1\/2*m**5 + 1\/2*m**4 - p*m + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.005 - 5.005. What is the third smallest value in -5, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*v - 70, -8 = 2*v + 2*v. Suppose -30 = -5*b + 2*b. What is the remainder when i is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mmymmjjynmm.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 985*t**2 + t**3 + t**3 - 2087*t**5 + 2089*t**5 + 13*t**3 + 114*t**4 wrt t.\nAnswer: 120*t**2 + 2736*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (1 + 1)*-12. Let m = -8 - p. Calculate the lowest common multiple of 74 and m.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1819 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b*b**9\/b*b)*(b\/b**(-3\/8))**(-15\/2))**11 assuming b is positive.\nAnswer: b**(-4631\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -2, -5, -675, 182 in descending order.\nAnswer: 182, 32, -2, -5, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d717 + -1?\nAnswer: 6d716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-459)\/72 + 3\/8. Suppose -463 = -22*n + 2881. Calculate the remainder when n is divided by (v - -5)\/(4\/(-88)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/376*712 + -114?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -228, -890, -1774, -2874, -4184?\n\"Answer: y**3 - 117*y**2 - 318*y + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, 0.5, -5, -0.062 in descending order.\nAnswer: 1, 0.5, -0.062, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31\/6 (b) -1 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 290712, 290779, 290828, 290853, 290848, 290807, 290724, 290593?\n\"Answer: -b**3 - 3*b**2 + 83*b + 290633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 59556.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 445 = 365. Suppose 5*z + 0*z = 15, 4*d = -5*z + 631. Let s = v + d. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 26, 75 in descending order.\nAnswer: 75, 26, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v - 20. Suppose 4 = -v*k + 8*k. Let u(z) = 4*z**3 - 2*z**2 + 1. What is the units digit of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Suppose -p*x = -2*x - 42. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565 by 565.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(612) + 0 + 0 + -5*(sqrt(612) - -2*sqrt(612))) - ((4*(-1 + sqrt(612)) - (0 + sqrt(612)*1 + sqrt(612))) + 1))*-5)**2.\nAnswer: 36000*sqrt(17) + 24480225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0, -1450, -4 in increasing order.\nAnswer: -1450, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20165 + 6?\nAnswer: 20173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16894419 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: Put -3, 1, 178, 4 in ascending order.\nAnswer: -3, 1, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0*d = 5*q - 20, 5*d - 3*q + 12 = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-1035)\/36*(-600)\/375)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16318 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 13*f. Let j(q) = q**3 + 14*q**2 - 11*q + 63. Let s be j(-15). Let u(m) = 3*m**2 - 12*m. Determine s*d(g) + 4*u(g).\nAnswer: -3*g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/32 and -97\/216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + v + 3. Let i(n) be the first derivative of 2*n**2 + 13\/3*n**3 - 3 + 10*n. What is 2*i(a) - 7*w(a)?\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 9 = i, u - 142 = -5*i - 129 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3672 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -1150, -1514, -1624, -1396, -746?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, r: 2, m: 2, j: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/84*1*(-10)\/3*18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-2 - -2) + -9 + (27 - 25).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -5*o - 229. Calculate the remainder when o is divided by (-7 + 216\/6)\/(3\/3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -17.58, -0.3 in decreasing order.\nAnswer: 1\/3, -0.3, -17.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:56 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + -0.15. Let b = t + 0.28997. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -2\/153, 8, 1, 1\/4, 4, 0.01 in descending order.\nAnswer: 34, 8, 4, 1, 1\/4, 0.01, -2\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 104584.849 and 0.1.\nAnswer: 104584.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.779 - -0.419. Let z = 325 - 325.331. Let h = z - b. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times 0.0254?\nAnswer: -5.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.411 and -0.16.\nAnswer: -3.74576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4593406 to the nearest integer?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 = 162*m - 19*m + 1590 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4648117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3. Let u(k) = -11*k**4 + 68*k**3 - 6*k**2. Let o(m) = 22*t(m) + 2*u(m). Solve o(g) = 0 for g.\nAnswer: 0, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 2*x - 1. Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -71. Let o(l) = l**3 - 3*l**2 + l - 3. Let s be o(3). Suppose -2*d - 10 = 0, k + s*d = -4*d - 4. What is the greatest common divisor of k and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82516.4ng in milligrams?\nAnswer: 0.0825164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 6, z: 7, c: 1, o: 2, k: 4}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-594)\/120 - -5). Let m(i) = -i**2 + 2*i + 4. Let q be m(4). Which is the second biggest value? (a) q (b) j (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.99\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - -0.03. Let c(b) = b + 5. Let t be c(-4). Let d be (0 - t) + (-1)\/(-2). Sort q, d, 0 in increasing order.\nAnswer: d, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-28)*v**(9\/2)*v*v\/((v**10\/v)\/v)*v**44*v assuming v is positive.\nAnswer: v**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/35)\/(m**2*m))\/(m**7*m*m**(3\/2)) assuming m is positive.\nAnswer: m**(-871\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 24 = -2*w, 2*w + 4*k = 35 + 25. Calculate the smallest common multiple of 262 and w.\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18) + -3)*4*4*6.\nAnswer: -192 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + z**3 - 4152*z + 4172*z + 2*z**2 - 2*z**2 + 8*z**2.\nAnswer: (z + 2)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 1. Let q(o) = o + 2. Let k(p) = 2*p + 3. Let y(w) = -3*k(w) + 5*q(w). Let b(v) = 4*x(v) - 6*y(v). Give b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181894 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -32.999959. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b44ba9 - 2?\nAnswer: 9b44ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/12 + (-6 - (-1 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631 take away 0.06?\nAnswer: -0.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/(-1972))\/((-2)\/(-1)*17\/(-68))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -21\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 + -5.49. Let q = -127\/9 - -871\/63. Let g = 0.7 - 0.4. Sort g, w, -1, q in decreasing order.\nAnswer: g, w, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c + 1. Let v be a(-3). Let r = -22 + v. Let g = 29 - r. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*c - 2, -c + 8 = -5*w + 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417717*l + 1417883*l + 17430 = 0 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1422, -1408, -1394, -1380, -1366, -1352?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (222\/(-12))\/(3\/6). Let r = b - -52. What is the remainder when 58 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from {o: 1, n: 5, b: 2, a: 2, z: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -46. Suppose 0 = -4*s - 3*j - 36, -3*s + 8*s + 4*j + q = 0. Let u(g) = -3*g**3 - 2*g. Let f(p) = p**3 + p. Give s*f(o) - 4*u(o).\nAnswer: 3*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) - 3\/(-21). Let p = -0.1 + -0.3. What is the second biggest value in p, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = -10. Suppose 0 = 5*w + 2*p - 0*p - 8, 5*w - 15 = h*p. Find the first derivative of -w*i**4 + 2 + i**4 - 4 wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.01, 4, 0.07, 2\/21, -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/16680216 and 15\/14147.\nAnswer: 783970152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 797404 + 11*f - 2*f - 797444. Determine s(-9).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121 (base 6) in base 10?\nAnswer: -697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 = x + o, 5*o + 21 = 3*x. What are the prime factors of 22\/4 + 1\/x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-17))\/(4\/(-14) + (-155)\/70)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 111*o. Let x(a) = 12964 - a - 25935 + 12971 + 17*a. What is x(u(t))?\nAnswer: 1776*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957482 is divided by 632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 5850 = 38*i. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.45811049 rounded to zero dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:25 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 606290 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 224830*q**4 - 6318003972*q**3 + 31598788760*q**2 + 88467794800*q = 0. What is q?\nAnswer: -56210, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-8 + 12 + (-5 - 20))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -0.3, 5, 59, -0.2, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*r - 18, -d + 7 = 3*r + 1. Sort -10, -2, 4, d in decreasing order.\nAnswer: 4, -2, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*a = -16, 0 = -4*a + a + 6. Let v = -561 - -560.9. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12345.36929 rounded to one decimal place?\nAnswer: 12345.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677820.\nAnswer: 2, 3, 5, 11, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3)\/m)\/m**4*(m**0\/m)**(-6)*(((((m*m**1*m)\/m)\/m*m)\/m)**5)**3 assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 25. Let f = -33 - -67\/2. Which is the nearest to 0? (a) o (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12 and 442366523.\nAnswer: 442366535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let f(k) = k**3 + 4*k**2 - k - 7. Let h be f(-4). Let n(s) = -s**2 - 5*s - 3. Calculate h*d(x) - n(x).\nAnswer: x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2122 + 22101?\nAnswer: 14424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1195140 and 31\/358542.\nAnswer: 3585420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -997?\nAnswer: 2991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (120 + -90 - 19)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 6. Suppose 9*w = b*w + 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -624 * 0.2.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 50 = -x, p + 1 - 9 = 2*x. Suppose p*l = 14*l - 6. Solve 0*g + l = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1181441?\nAnswer: -118143f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.9 rounded to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i + 52*i - 12*i - 14 - 2*i**2 - 30.\nAnswer: -2*i**2 - 3*i - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(-8)*(0 - 2). Suppose -3*b = 2*b - c. Solve -l = -4*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 3, z: 4, u: 2}. Give prob of picking 1 x and 1 z.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3575, -7148, -10721?\nAnswer: -14294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 11*q**2 + 12*q + 3. Let d be s(12). Solve -3*j - 1 = 2*w, -j + 1 - d = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:25 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 - -1 - (-12 - -21) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 - j**2)*(-108 + 10*j**3 + 108) + 15*j**5 - 146*j**5 - 94*j**5 + (2 - 2 - 2)*(2*j**4 - 2*j**4 + 2*j**5).\nAnswer: -249*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00814678089 rounded to 4 dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2465112256 + -2?\nAnswer: 2465112254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-472)\/2360 - (-3)\/40*18*2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2645 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, 35, 4 in ascending order.\nAnswer: -3, 4, 18, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -0*w - 2*w, -3*x = 5*w - 20. Suppose -29*g = -218 - 652. Suppose 0 = -10*h - x + g. Solve -h*n = 2*f - 4, 5*f - 4*f - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1499, -1507, -1539, -1607, -1723, -1899?\nAnswer: -2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 273\/39 + 2\/(-1). Suppose 312 = -f*s + 617. Calculate the remainder when s is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530956 rounded to the nearest ten thousand?\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17. Let r(i) = -3*i**3 + i. Let q be r(t). Let s = -30 - -29.5. What is the closest to -1 in 3, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/12 + w**3\/6 - 3*w**2\/2 - w. Let l be -3*((-4)\/(-3) + (-31)\/93). What is s(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -0.117847123?\nAnswer: 13.117847123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*q - 1304, 5*q - 1241 - 400 = -a. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -523 - -751. Calculate the remainder when k is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**7\/42 - 32*f**6\/15 + 9*f**4\/2 + 45*f. Find the third derivative of u(o) wrt o.\nAnswer: 60*o**2 - 1536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, 10, -17352, 8, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 - (6 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -32*b**2 - 185*b - 1293. Give v(-7).\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 15 = -p, x + 446*p = 443*p - 3 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 4*j + 63. Calculate the highest common factor of 42 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 782 = -w - 4*g, -3*g - 544 = -2*w. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:29 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680 + -2717\/4. Factor 0 - s*z**3 + 3\/4*z + 3\/4*z**2 - 3\/4*z**4.\nAnswer: -3*z*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4500)\/(-108))\/((23\/(-115))\/((-27)\/(-45)))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*-76*88\/(-13376).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 110944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1313696*x**4 - 527935?\nAnswer: -5254784*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 3*i - 0*i - 4*i - 5*t, 1214 = 4*i - 19*t + 1063 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -4215?\nAnswer: -4219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13. Let t = -18 + j. Let l = -14 - t. Which is the smallest value? (a) l (b) 3\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 3, z: 2, m: 2}. Give prob of sequence lwl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = j - 2*j. Let p(l) = -l**3 + 8*l**2 + 14*l - 24. Let n be p(9). Suppose -22*s = -n*s - 27. What is the remainder when j is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 349*a**2 + 4587*a - 22. Determine q(-14).\nAnswer: 4164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**3 + 3*q**2 + 10 + 4*q**2 - 5*q**3 - 7*q. Let t be m(-8). Suppose t*p - p = 48. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30467, 30465, 30463, 30461?\nAnswer: 30459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.46346 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/8)*i**22)**(8\/5) assuming i is positive.\nAnswer: i**(183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + a = -23, 2*a + 8 = 5*b - 1 + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165455483*u**5 - 666437592*u**2?\nAnswer: -9927328980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -34*q**2. Let a(l) = 3*l**2 - 1. Let f(b) = -17*b**2 + 6. Let t(x) = 30*a(x) + 5*f(x). Give t(v(p)).\nAnswer: 5780*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1172\/39 - (234906\/3978 + -59)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-10))\/((-33)\/(-240)) and 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*p - 233 + 228, -3*p + 3*u = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 plus 7.7?\nAnswer: 503.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -8 - 2. Which is the nearest to 2? (a) v (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 155 = -5*v - 155, 0 = 3*o + 4*v - 465. Let l = o - 156. Which is the nearest to 2\/5? (a) l (b) -4 (c) -4\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9083 - 9079. Solve 0 = y*x + 66 - 62 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/20335 + -23246\/61005. Let v = 0 - 0. Are z and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1910*l**3 + 1931*l**3 - 3843*l**3 - 14285 + 14285.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 17878?\nAnswer: 1787a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493 + 492. Let n(d) = -d - 1. Let b(p) = -13*p. Let z(j) = q*n(j) - b(j). Determine z(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) 16.948 (d) 126 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/20*0)\/(-4). Suppose q*g = -7*g + 91. Solve -2*b - 3*f = g, 6*b + 3*f + 15 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 2*u + 22 = -25*q, -u = 2*q - 1. Solve 0 = -q*k - 0 + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -16. Let o be (9 + -9)\/(j*1). Suppose -3*t = s - 17, o*t = t. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -3 (c) -0.06 (d) -9 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 + x + 1. Let f(g) = -6*g**3 + 4*g**2 - 3*g - 4. Let d(p) = 2*p**2 - 10*p + 7. Let l be d(4). Determine l*f(q) - 4*z(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 5*l**2 + 16*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 + 3*v + 2. Let t be p(-2). Suppose o = -t + 46. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1277 times 131.1\nAnswer: -167414.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 807, 2036, 3799, 6120, 9023, 12532, 16671?\n\"Answer: 4*s**3 + 231*s**2 - 2*s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 9, -3*h + 2*u = 150 - 60. Let r = -18 - h. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 133 = 4*o, -2*o - 4*a + 58 = 2. Calculate the smallest common multiple of o and 14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 - 6*t + 14. Let x be b(4). Which is bigger: x or 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-4)\/(-8)). Suppose -u*f + 15 = 2*f. Let r = 23 - 14. Calculate the least common multiple of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q. Suppose 0 = 3*l + 8 - 8. Let p be c(l). Suppose 0*i - 108 = -k - 3*i, k - 5*i - 76 = p. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 159583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 22*j + 946. Determine c(-41).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*m + 2*m + 3*s, -470 = -5*m + 5*s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 860952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let w be ((-3)\/2)\/(18\/8). Which is the closest to -0.1? (a) w (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*d. Suppose -4*o = w + 4 - 7, 2*o - d = -w. Solve -s - 4*s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -250570 - -3411?\nAnswer: -246158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3487 + 4139 = 123*k + 1651 - 544 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -29*q + 2. Let z(c) = 58*c - 5. What is 10*y(x) + 4*z(x)?\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i - 68. Let r be k(14). Let g(f) = -15 - r*f + 21*f - 23*f. Let b(o) = -o - 1. Calculate 15*b(q) - g(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -2535*i**7\/14 - 2*i**3\/3 - 177*i**2 + 7339*i. What is the second derivative of r(w) wrt w?\nAnswer: -152100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20819 + 3409*c**2 + 686*c**2 - 20819.\nAnswer: 4095*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1850650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 7*h**2 - 7*h + 2. Let y be v(6). Let a(u) = u**3 + u**2 - 1. Let g be a(y). Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, e: 1, w: 1, l: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548997 plus 0.03?\nAnswer: -2548996.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35103*f**3*i - f**2*i - 245*f**2 - 358*f*i wrt f.\nAnswer: -210618*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-15 - (-1 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**2 + 0 - 1\/24*b**3 + 1\/48*b**4 + 0*b - 1\/240*b**5. What is q in a(q) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-1) - (-45)\/15. Calculate the highest common divisor of y and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 42*l. Let z(p) = -8*p**2 + 68*p - 32. Let a be z(8). Let t(b) be the second derivative of 1\/6*b**4 + a*b**3 + 0*b**2 + 16*b + 0. Determine t(r(c)).\nAnswer: 3528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2045 * 54.\nAnswer: -110430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 4, -56.\nAnswer: -56, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1260*p**3 - 1002 - 6*p**2 + 1999 - 995 + 6*p**2 to y*p**3 + q*p**2 + d + m*p and give y.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21772*i**3 + 12249*i + 1 wrt i?\nAnswer: 130632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 4, s: 7, g: 4, r: 3}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and (36*(-1 - 0))\/(54\/(-72)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 28*j\/5.\nAnswer: -j*(j - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(272) + sqrt(272)))**2*-4.\nAnswer: -4356 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11160 and 1080?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - 11*s**3\/6 + 6*s**2 + 6*s. Let r be n(-12). Put -4, r, 2 in ascending order.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 406*h**2 + 406*h**2 + 303*h.\nAnswer: -6*h**3 + 303*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**2 - 4*p. Let j = -1 + 3. Suppose 3*m - 42 = j*b - b, -m = -5*b - 14. Let a = m - 8. Let i(t) = 8*t**2 + 5*t. Determine a*r(k) + 5*i(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let q(c) = -c**3 - 5*c**2 + 6. Let i be q(-5). Let l(u) = -10 + 6*u + 15 - u. What is i*p(z) - l(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-27)*15\/15 - 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.993 + -0.007. Let i = 22.022 + h. What is i rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o - 19. Determine z(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3 + 0*c - 18*c**2 + 31*c**2 - 5*c + 5*c**2. What is the tens digit of l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/1008)\/((-50)\/930)?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 222. Let g = w + -95. Which is the closest to -0.04? (a) g (b) 3 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s*s\/(s**1*s*s))\/(s**(-1\/3)\/(s*s**(1\/16)*s)) assuming s is positive.\nAnswer: s**(163\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 - 25*v**2 - 15*v + 1. Let p be b(-3). Let m(j) = -8*j**2 + 82*j - 14. Determine m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1\/4 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 32*x**2 + 2. Let v be m(32). Solve 4*p = -v*y + 3*y, -y = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -15.16. Let y = m + -15.5. What is the fourth biggest value in -3, -2\/9, 2\/5, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5302340 (base 7) in base 3?\nAnswer: 1012111021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h**2 + h + 9. Let u be (-2*13)\/(-3*(-8)\/(-12)). Suppose 0 = -x - u + 13. Let s be a(x). What is the greatest common divisor of 171 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16780, 33600, 50420, 67240, 84060, 100880?\nAnswer: 117700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*t - 181, 5*x = 6*x + 4*t - 27. Let m be 4\/((-28)\/x) + (-4 - -11). Which is the smallest value? (a) 0.1 (b) m (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 29, 1, -2, -0.4, 77\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 92\/99?\nAnswer: 92\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*c + 3*u, 3*c - 426 = c - 4*u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73271 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by 38\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w - 17. Let v(c) = -c**3 + 28*c**2 + 74*c + 71. Let u be v(31). Let i = u + 516. What is the nearest to 2\/7 in w, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 11*a**2 - 11*a - 8. Let r be y(-10). Let s(o) = -2*o**3 - 7*o + 4*o**3 - 3*o**3 + 2*o**3 - 3*o + 8*o**r. Give s(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -403 - -403. Suppose 39*w - 43*w + 43844 = p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, -15, -2310, 0 in ascending order.\nAnswer: -2310, -28, -15, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 3*i = 6*k + 1464, 4*k = -i + 1970. Is k <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 - 10.7. Let w = 5.3 + 1.7. Let b = l + w. What is the nearest to -2\/7 in b, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 892*i + 888*i + 3*i**2 - 1783*i.\nAnswer: 6*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ac80 (base 15) in base 11?\nAnswer: -281838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 8*p**2 - 5*p + 4. Let q be c(8). Let l = q + 43. Solve -4*g + 9 = -l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - 4 - -1). Suppose -3*u + 6*u - 21 = p. Suppose -v + 2*r = -22, 2*v = u*v - 3*r - 103. Calculate the remainder when 76 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*((-3)\/24)\/(1079\/164008).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19980 and 3195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-8 - 252\/45)\/(1 + 546\/(-540))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**3 - 29*t**2 + 16*t + 9. Let k(r) = 22*r**3 - 87*r**2 + 48*r + 29. Let d(c) = -8*a(c) + 3*k(c). Let f be d(14). Put -4, 5, f in increasing order.\nAnswer: -4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 244. Suppose -5*w = 5*l + 10, 6 = -3*w - l + 5*l. Which is the third biggest value? (a) w (b) j (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-49)*6)\/((-8)\/(-196))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 16 + 13*o**2 - 4*o**4 - 1\/2*o**5 + 32*o - 13\/2*o**3 = 0. Calculate o.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*a - 318 + 3068 + 1756 = 564*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122251320 (base 6) in base 7?\nAnswer: -26006244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-48)\/(-8)) + (-14 - -17). Sort 10, 319, s in descending order.\nAnswer: 319, 10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*t - 90. Solve 0 = -t*s + 9 - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5536 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Let a be w(-2). Let v(z) = z**2 - 7*z + 9. Does 2 divide v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 - 4*g**3 + 4*g**3)*(1709 + 508 + 1107 - 670) to q*g + l + x*g**3 + o*g**2 and give x.\nAnswer: -5308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10\/1881, 0.3 in ascending order.\nAnswer: 0, 10\/1881, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.22 + -21.64. Which is smaller: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 11*g**2 + 3*g + 9. Let w be j(-11). What are the prime factors of (-292)\/w - (-1)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 14. Suppose 4*j + 2*u = j + 13, 10 = j - 5*u. Let q be -4 + (j - 2) + -15. Let f be z(q). What is the third smallest value in -5, -3\/4, -0.4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from eiii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r - 1. Let l(j) = j + 2. Let b be l(-3). Let q(o) = o**2 + 6*o. Let v(u) = b*q(u) + 2*t(u). Does 4 divide v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(99))**2 + 3)*-2.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2. Let l(s) = -8*s**3 + 6*s**2. Let v = -150 + 212. Let h = -83 + v. Let a(u) = h*k(u) - 3*l(u). Factor a(j).\nAnswer: 3*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.03 - 0.03. Let i = -6.7 + c. Let p = 0.1 + -0.1. Put 4, p, i in ascending order.\nAnswer: p, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - 0.01. Let l = 1.43 + -0.93. Suppose 6 = -5*x - u, -2*x - 5*u = -19 + 3. Which is the closest to x? (a) -4\/3 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 - -77be?\nAnswer: 7807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from itctqzqinnncnzc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-60)\/16)\/(-3 + 25\/5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544104462 to the power of 1\/2, to the nearest integer?\nAnswer: 23326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4, -4*s = 2*o - 0 - 18. Let p = 13 - 4. Let z = p - s. Solve 3*a + 16 = z*t - 0, -a = -5*t + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/9)\/4)\/((-17193)\/(-14067))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11219 = -91*u + 236*u + 530*u + 56444 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b + 3. Let v be h(-11). Let o = v + -75. Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32621.551 - 203\nAnswer: 32418.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*m + 136552 = 545*m. What is the highest common factor of m and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73138 and 2136134?\nAnswer: 61947886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**25\/(a**(-32)\/a))\/(a\/a**(-1\/9)*a*(a\/a**(1\/25))\/a*a*a*a) assuming a is positive.\nAnswer: a**(11909\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 1\/7, -1\/8, -10, 5 in increasing order.\nAnswer: -10, -1\/8, -0.11, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 - 3*q**2 - 2*q**2 + (59*q + 9 - 72*q + 8*q)*(q + 1 - 1) as i + l*q + z*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*l = -22, -81*l = m - 86*l + 7 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10600 - -10601. Sort 3, w, 2, -62.\nAnswer: -62, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18 and 382564.\nAnswer: 382582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45277 divided by -71?\nAnswer: -45277\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/11, 2\/17, -1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48661, 48687, 48713?\nAnswer: 48739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**8*k)*k*(k*k**(-2\/37)*k*k*k)\/k*(k\/((k**(3\/7)\/k)\/k*k))**(-3\/7) assuming k is positive.\nAnswer: k**(-8571\/1813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63590428+-0.712769\nAnswer: -63590428.712769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a - 22*a - 57*a - 5*a to h*a + g and give h.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8*l - 5*l = 185, -5*u + 4*l = -208. Solve -10*b - u = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:50 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 3 - -1*1. Suppose -g = -4*y - k*g + 13, 5*y + 5*g - 35 = 0. Suppose -o = o - y*r - 32, -4*o - 3*r = -50. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 92\/32)\/((-11550)\/(-39600))?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 6. Let n be t(-10). Suppose 2*i = 4*x + 98 + n, -195 = -4*i + 5*x. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965838079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 448?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45\/226 + 8743\/3616. Find the common denominator of -85\/4 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11230535 (base 6) in base 12?\nAnswer: 14844b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 4275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 133745591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -204263 or -204262?\nAnswer: -204262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243150227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0413412583 to six decimal places.\nAnswer: 0.041341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -12*t**5\/25 + t**4\/5 + 12*t**3\/5 + 6*t**2\/5 - 8*t\/5 - 64. Determine k so that q(k) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + -10 + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*i - i = 9, 0 = -3*h - 5*i - 15. Let v be h - (-1 - 4\/20). Factor 27\/5*n**3 - 21\/5*n**2 + 3\/5*n**5 + 0 - 3*n**4 + v*n.\nAnswer: 3*n*(n - 2)*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*y**4 + 9*y**4 - 5 - 7*y**4 + 0 wrt y.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461.67 + 463. Round g to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*u = 372*u + 390 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4193, 4190, 4187?\nAnswer: 4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2201, -2197, -2199, -2207, -2221, -2241, -2267?\n\"Answer: -3*s**2 + 13*s - 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(2633 + 2751 - 5520)*(-5*y + 0*y + 4*y + (0*y + 3*y - 5*y)*(-1 + 3 - 3)).\nAnswer: -136*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 - 3*b**3 + (-3 + 3 - b)*(-2*b**2 + b - b))*(-4*b**2 + b**2 + 5*b**2).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcccddccddddccccd. What is prob of sequence dcd?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 105*o - 738.\nAnswer: 3*(o - 6)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 158125*z - 110774?\nAnswer: 158125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83216353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**8\/30240 + i**7\/3780 + 7*i**5\/60 + 5*i**2. Let q(a) be the third derivative of x(a). Factor q(z).\nAnswer: 2*z*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let i be x(-2). Let w be ((-4)\/(-6))\/((-4)\/i). What is the tens digit of 12 - (0\/(-3) + w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 5283366.\nAnswer: 42266928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:01 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 50 + 28 - 5*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30 - (3 - -1)) + 3. Suppose 0 = 2*b - 43 - r. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1152848 and -0.1?\nAnswer: -115284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q*w + 161*q + 3*w wrt w?\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(20\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*h + 5*d, 2*h - 3 = d - 6*d. Let g = -6 - -1. Let l = 11 + g. What is the highest common divisor of h and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793034 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((2\/10)\/((-10)\/2440))\/((-6)\/105) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(-56 + 2*h + 56) to f + k*h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4340 and -71\/60.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469464, -469462, -469452, -469428, -469384, -469314?\nAnswer: -469212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.037 + -0.037. Let t = f - 3.1. Which is the nearest to t? (a) 2 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1873128*j**2 + 297*j - 898?\nAnswer: 3746256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 23. Suppose 81 = 14*q + 11. What is the remainder when 389 is divided by p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 - 0.520027. What is g rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77435615 less than or equal to -77435615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -795 - -794.7935. Let j = -0.273 - d. Let c = 2.8035 - j. What is c rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 67104?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4760 and 336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901549 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5c082 (base 13) to base 4\nAnswer: 221110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(525\/(-60)))\/((-26)\/(-1625)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92805.9 weeks to nanoseconds.\nAnswer: 56129008320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291191*i**3 + 291153*i**3 - 582327*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 170, 90369 in descending order.\nAnswer: 90369, 170, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0905 - -0.319488\nAnswer: 0.409988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/10)\/((-4)\/10). Let b be (-11)\/(0 - (0 - -1)). Let w be 11\/b - (1 - 1). Is w less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/110, -2\/41, -1, 4\/5.\nAnswer: -3, -1, -2\/41, 1\/110, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 13*y + 3. Let f be g(-19). Differentiate 111 - 73 + f*b**3 - 10*b**3 wrt b.\nAnswer: 321*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37539 (base 10) in base 7?\nAnswer: 214305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 4:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*1*sqrt(156))\/(sqrt(12) - sqrt(240)\/sqrt(5))*-6 + 1).\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 9 - (2\/(-44) + 1227096\/145728).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-30)*(-6 - -1). Suppose 2*h - x*h - 3*q + 2 = 0, 10 = 5*h + 2*q. Suppose -j + 18 = h. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t + 4*t + 5*t - 18 in the form u*t + d and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.06. Let u = s - 0.02. Let h = 0.02 + u. Is h at least 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*j = 163*j + 109*j - 33793 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:30 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55353, 110739, 166125, 221511, 276897?\nAnswer: 332283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21111010023?\nAnswer: 21111010032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 16 = 8*y. Let c(b) be the second derivative of -8*b**y - 225*b**4 + 0 - 4*b - 675\/2*b**5 - 60*b**3. Solve c(o) = 0 for o.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:24 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 108, 2\/15, 4, 39, 63, -0.7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(sqrt(1331)*-1*-6)**2 - (-2*-2*sqrt(1331) + 4 + -2 + sqrt(1331))**2.\nAnswer: -220*sqrt(11) + 1116705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Let h(c) = 9*c - p*c - 6*c - 11. List the prime factors of h(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3980, 2, 15, -6 in ascending order.\nAnswer: -3980, -6, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 11*k + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.017 + -855350.\nAnswer: -855351.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 37802255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26754 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -10 + 14. Suppose -2*b = 4*o - 20, -5*b = -2*o - w - 22. Does b = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from sfsesuesnfuersserss.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(175) + sqrt(3)*1 + -3)**2*-1.\nAnswer: -333\/25 + 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-3 - -2)) + -2. Let k be x\/5 - 117\/(-15). Suppose 0 = -6*d + 4*d + k. Solve -3*z + d = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*f**4 + 6 + 2*f**2 + 14*f**3 + 2*f - 15*f**3 - 4*f**2 - 60*f**4 in the form c*f**2 + o*f + y + q*f**3 + l*f**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12, 2*y + t = 9 + 11. Calculate the greatest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 - 18*f - 14. Let d be p(-3). Let t = d - 89. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 27*n**2 + 25*n - 49. Let j be f(14). Suppose 2847 = 2*g + j. Let k(c) = -2*c**3 + 2*c**2 + 4. Let x(o) = o + 1. Determine g*k(m) + 4*x(m).\nAnswer: 2*m**3 - 2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 21 = 11. Find the common denominator of 7\/(-16) - 2\/b and -2 + 6 + (-23)\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1152, 2308, 3450, 4572, 5668, 6732, 7758, 8740?\n\"Answer: -g**3 - g**2 + 1166*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rrsrqsqqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 43?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 958077962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 176?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 100625.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.2 + 29. Let t = z + -29.3. Let s = -11.900111 + t. Round s to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3509 - 3542.22. Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000217668 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 - -174. Suppose n = 142*c - 146*c + 60. Let q be 1 - (0 + (-16)\/1). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*u = 30 - 105, -3*u = -6. Let j = 46 + a. What is the highest common divisor of j and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-14) - (-5862)\/14.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(6)\/sqrt(2)) + (sqrt(22)*-1)\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhvuaugggu. Give prob of picking 1 g and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let r(x) = -6*x + 7. Let h(a) = 5*r(a) - 35*w(a). Let o(q) be the first derivative of 2*q**3\/3 - 264. Calculate o(h(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(121) + (sqrt(121)*-2 - sqrt(121)))*-4 + sqrt(121))*-2)\/((2*sqrt(99)*-1 - sqrt(99))\/(sqrt(9) + (sqrt(9) - (sqrt(324) + -1*sqrt(324))))).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 1 (c) 2\/15 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*u = -7, 8 = 2*s + 4*u - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i*w**2 + 21805*i*w + 30919*w**2 + 13*w wrt i?\nAnswer: 4*w**2 + 21805*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c - -888bc?\nAnswer: 88959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40653.961 - -40611. Let p = 43 + y. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 727 (b) 0.5 (c) -1 (d) -7 (e) 0 (f) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + 1. Let k(t) = 25*t + 22*t - 49*t. Give k(u(r)).\nAnswer: -10*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i - 5*i - 2 + 26*i - 15*i - 5*i.\nAnswer: -16*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t = -16*t + 1207 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (38 - -34) + (-12 - -42).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + q - 5)*(-31 + 72 + 252)*(-2*q - 3*q + 6*q).\nAnswer: 293*q**2 - 2637*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 4) in base 8?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11412 divided by -6\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 3*r. Let d(q) = q**2 - 2*q. Let t(u) = 5*d(u) + 2*j(u). Let c be t(-4). Which is smaller: c or 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/5 (b) -1\/4 (c) 0 (d) 23\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5095*k - 30487. What is o(-6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 0)*(18 - 2 + 2 + (4 + 1 - 3)*(4 - 1 - 4))*(3*c - c - 3*c + (3 - 2*c - 3)*(-1 + 3 - 1)) to n + u*c and give u.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 17*b. Let c(y) = 392*y. Let x(k) = 3*c(k) - 70*q(k). Let p(u) = -u - 3*u + 2*u. Give p(x(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 0*h)*(1 + 0 + 0) + 3*h + 0*h - 2*h + (-1 + 0 + 2)*(-h - 2*h + 2*h) + 152 + 10*h - 4*h - 154.\nAnswer: 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -12\/11 (c) -8936 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120338108 and 26642?\nAnswer: 842366756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, n: 2}. Give prob of sequence bb.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 - -257 - (0 + 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9131189?\nAnswer: 9131189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-160 + 166 - (1 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65713 divided by -2550?\nAnswer: -65713\/2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3 + 3. Calculate the remainder when 7 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35 = 25. Suppose -5*u + 16 = 3*q, -6 = -0*u - u - 2*q. Suppose 5*v - 3*z = -26, -2*z - 10 = u*v - 3*z. Sort k, v, 5 in descending order.\nAnswer: 5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 19*q - 3. Let k = 35 + -44. Let d be m(k). Suppose 2 = 7*v - d*v. Solve 2*u = -8*i + 3*i + v, -1 = 4*i - u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1552111*z**5 - z**3 - 10586189*z**2 wrt z.\nAnswer: 93126660*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953235437694*z + 953235437694*z + 16*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3765 = 4*n - 3761 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*q = 284*q + 360. Let l(o) = -o - 6. Give l(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*a + 3*a. Suppose -3*o + a = -o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/12)\/((-2)\/(-4)). Suppose 4*v - 2*y + 0*y = 92, -9 = -v - 3*y. Let f be 46\/14 - 6\/v. Which is the nearest to -0.1? (a) 5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*k. Suppose 20 = z + k*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n = -5*i + 168*n - 362 - 103, 10*i = n - 25 - 180 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 16 + 15)*(-12 + 4 + 3)*(0*x + x - 3*x) + (-x + 2*x - 3*x)*(-1 + 3 + 0).\nAnswer: 86*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 - 7\/(-2). Factor -10*l**4 + 9*l**4 + 4*l**5 + y*l**4.\nAnswer: 2*l**4*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.1 (b) -182 (c) 2\/5 (d) -0.066 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwkkwkrwc. What is prob of picking 1 k and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -13. Suppose -w*a + 3 = -5*a. What are the prime factors of 3\/2*(5 + a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = z + 129 + 149, -z + 2*p = 277. Let i = z - -303. Solve 4*v + 8 = 2*h, 0 = 3*h + v + 2*v + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273315 by 1.\nAnswer: -273315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 1 + 10*h**2 + 2*h**2. Suppose -o = -0 - 4. Suppose -2*d + o*d + 2 = 0. Give g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 49. Let b be f(5). Suppose -b*r + 414 = c + 158, 2*r + 5*c - 128 = 0. Calculate the smallest common multiple of 10 and r.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 - 0) + 17. Suppose -4*u = u - m. Solve u = l - 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 8272?\nAnswer: 8277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.2. Let j = 27.3 - 30.3. Let d = 1.9 - 2. Put n, d, j in decreasing order.\nAnswer: n, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6472 + -3547. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13313320032 (base 4) to base 9\nAnswer: -3785106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*i - 4 = 0, 2*o + 2*i = -3*i + 8. Let r be (o + 1)*(-10)\/(-10). List the prime factors of (r - -2)*(-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + (-4 - (4 - 10))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**4 - 3 + 23*k**2 - 7*k**3 + 3 + 2*k - 3 - 25*k**4 + 14*k**4 in the form v*k + w*k**4 + m + s*k**2 + z*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 33 (c) 34 (d) 1 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 26. Let j(c) = -c**3 + 50*c**2 - 94*c - 91. Let g be j(48). Solve 4*w = -4*y - 36, d*w = 4*y + g*w + 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111257 is divided by 161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4336*c = 881*c - 1032*c + 121365 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + -12.\nAnswer: -12.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 26039 = 32*x + 4*m, 26033 = 5*x + 3*m. Is x a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -13 + 28 + 12 + -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7304 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 30 + 64 - 33. Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, d: 4, t: 4}. Give prob of sequence tttt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 + 6\/7*n + 2\/7*n**2.\nAnswer: 2*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1413 - -1498. Calculate the smallest common multiple of 136 and z.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2646711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by 51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -989, -4000, -9027, -16070?\n\"Answer: -1008*m**2 + 13*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1179, -13742, -49033, -118416, -233255, -404914, -644757?\n\"Answer: -1894*j**3 + 695*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18051552 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.3, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (17 - 2 - (13 - -2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**3\/3 + 3. Let i(b) be the second derivative of b + 0 + 0*b**2 - 1\/3*b**3. Give j(i(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/(-36)*1 + -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let p(o) be the second derivative of o**3\/2 + 2*o**2 - 14*o. Let s(i) = -5*a(i) + p(i). Give s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 19. Calculate l(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -54. Calculate the common denominator of 1353\/(-165) - 1*y and -37\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + -2*sqrt(132))\/sqrt(12) + -2)*2 - (-3 + sqrt(396) + 1*sqrt(396) + -1)) + 5.\nAnswer: -14*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/2 of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/17 + 241\/102. Let h = -2\/57 - 74\/57. Which is the biggest value? (a) h (b) i (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17011, -68040, -153085, -272146, -425223?\nAnswer: -612316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114517917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - k = 4979, g + 7*k = 3*k + 979. Suppose -3*a - 308 + g = 0. Suppose 3*d - 50 = a. Is d a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2299047 = 112*y - 2295239 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (11 + -3))\/(-2). Suppose -v = s - 8. Suppose -4*z = -16, 4*h - 2 - 2 = s*z. Calculate the greatest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -125002430367.\nAnswer: -125002430367.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 1, o: 2, n: 1, a: 1}. Give prob of picking 1 b and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1702328911\/11449 - -148688. Let i be ((5564574\/(-4))\/9)\/114490. Let a = g + i. What is the common denominator of 39\/20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/2)\/n*n**(2\/15)\/n*(n**(-2\/3))**(-4\/15) assuming n is positive.\nAnswer: n**(-197\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 92468*f**3 - 534349452*f**2 + 534441924*f.\nAnswer: -4*f*(f - 1)*(f + 11559)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1893)\/(-12))\/((-21)\/(-4) - 5). Suppose -17*d = t - 6394. List the prime factors of d.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(l - 4 + 4 + (l + 2*l + l)*(3 + 1 - 7)).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 83 - (3\/1 - 6). Suppose 6 = -2*z, -3*z + 1 = -s + p. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2332232112 (base 4) to base 15\nAnswer: -106706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + -0.82. Which is the closest to k? (a) 2 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 168353073?\nAnswer: 168353073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*4 - -4. Let s(m) = 0*m**2 + 14 + 4*m + 2*m + n*m**2 + 13*m. Let d be s(-10). Solve -y = 4*z - d, 6*z = 2*z - 5*y + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338 times -0.32\nAnswer: -108.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8096.0886 nanoseconds to hours.\nAnswer: 0.0000000022489135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 2*z + 2*z + (2*z + 4 - 4)*(0 - 5 + 3) + 2*z - 6*z + 2*z + 5*z + 6 - z - 3*z in the form t*z + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 9706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 3. Let v be p(-3). Let j = -2.549 - 1656.451. Let l = 1660 + j. What is the second smallest value in -3\/7, v, l, -5\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 26547325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 + 14*i**4 + 4*i**3 - 56*i**2 - 48*i = 0. Calculate i.\nAnswer: -6, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5983 + 5982.9. Let y = -1.5 - -1. Let r = y + 4.5. What is the third smallest value in r, 1\/8, 5, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k + 53. Let w be h(-7). Suppose -w*i = -6*i. Solve 2*o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 51*u**2 - 242*u - 1263. Give f(-55).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1366615?\nAnswer: 1366623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 + -0.07. Which is the nearest to t? (a) -1\/2 (b) 2\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:26 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(((-2)\/6)\/((-3)\/18)). Solve 2*k + 2 = m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -4.71477?\nAnswer: -4.41477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 23 (c) -0.26 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l**2 - 64*l + 15. What is the remainder when r(8) is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 - 24 = -p. Let d = p - 177. Let g(s) = s**2 - 2*s + 1. Let z be g(3). Solve d*x = 4*h + 10, -2*x + 0*x + z = 4*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 235, 194, 139, 70, -13, -110, -221?\n\"Answer: -7*u**2 - 20*u + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = 144*x - 143*x. Let y = x + 335. Calculate the highest common divisor of 24 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 30, -320, 0, 2 in descending order.\nAnswer: 30, 19, 2, 0, -320","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2231 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 - n + 6. Let o = 2 + 3. Suppose -33 = 4*c - 3*y, o*c - 3*y + 17 + 22 = 0. Let v(f) = -23*f**2 + 3*f - 17. Determine c*v(p) - 17*m(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/861 and (7\/(61 - 5))\/((-6)\/(-1000)).\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyyyslsylyyslyy. Give prob of picking 3 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 193010.47 and 6782.\nAnswer: 199792.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 502*l**2 - 1068*l - 9. Let n(i) = 4*i**3 + 1008*i**2 + 2136*i + 17. Let d(m) = -18*n(m) - 34*x(m). Let d(o) = 0. What is o?\nAnswer: -267, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (64 - 93 - (-13 - -2) - 28).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.8 + 10.857. What is z rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14036040 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4443 - 4017 = -2714*d + 2996*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6641.989 micrometers?\nAnswer: 6.641989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*x**5\/11 - 326*x**4\/11 + 168*x**3\/11 + 4526*x**2\/11 + 4376*x\/11 - 2280\/11 = 0. Calculate x.\nAnswer: -2, 3\/8, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (29\/(-2)*-295)\/(5 + (-144)\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*110 - (28\/42 - 4\/(-12)) is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4627.99994083 - -4628. What is j rounded to six dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 3. Suppose 13 = 4*s - 5*s. Let f = s - -16. Solve i*l + 9 = l, -24 = 5*z + f*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126\/11 in 4, 1006, 1\/2, -3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hayhrfr. Give prob of sequence ryf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4280 and -111\/20?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15099 - -15708. What is the highest common divisor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195793 + 111601913\/570. Find the common denominator of m and -121\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 192801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2070 - 2069.99997822. What is u rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.0432l in millilitres?\nAnswer: 769043.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0*p - p)*(-3 + 3 + 4*p).\nAnswer: -4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -2474\/3665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) -9 (c) -527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 253108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - ((-26885)\/(-475) - -11)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5\/2 + 2390*w**4 - 134250*w**3 - 563225*w**2 - 1428305*w\/2 - 287565 = 0.\nAnswer: -1009, -2, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.264485 + -40141898\nAnswer: -40141897.735515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031130221 (base 4) in base 5?\nAnswer: 122014434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:25 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48 from 5.997.\nAnswer: 53.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-99) - 306\/(-11)) + 2. Suppose -9*l + y = -3*l. Factor 35*g**3 + 1 - l*g**2 - 21 + 9*g + 31*g + 100*g**2.\nAnswer: 5*(g + 1)*(g + 2)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - t + 128397, -x + 5*t = -150130 + 21715. What is x rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 517338 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*c*i**2 - 23*c*i + 27948*c + 4*i**2 wrt i?\nAnswer: 140*c*i - 23*c + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/39*(-1330173)\/(-45476).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 26 + 102 = 0. Suppose 22 = 5*m + 2*f + 6, 4*f = 2*m + c. Solve 0 = 3*z + m*i - 9 + 34, 20 = z - 5*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 16*d - 3. Let f(g) = -3*g**2 - 17*g + 4. Calculate -3*f(w) - 4*q(w).\nAnswer: w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14 = d, -26*d - 20 = -28*d + 2*r. Let c(y) = y + 2. Determine c(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 + 159298?\nAnswer: 159112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/11 - 30*b**3\/11 - 6*b**2 - 34*b\/11.\nAnswer: 2*b*(b - 17)*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 121878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 85 - 127 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29239189*d*n**3 - 354222490*n**3 wrt d.\nAnswer: 29239189*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 16611270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14921311.\nAnswer: 113, 132047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 - (-9 - (19 + -19)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q - 3. Let a be d(-4). Find the second derivative of -a*v**4 + 58*v**4 - v - 4*v wrt v.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5 + -2 + (-7 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:44 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-3 + -22 + 21)) + 118 - 10?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 106*m**2 - 1822*m\/3 + 714.\nAnswer: -2*(m - 1)*(m + 7)*(m + 153)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 38. Suppose -16*i = -816 + 160. Let c = i - w. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2943.001199 - 2943. What is q rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let g be (0 - -3) + h + -1. Suppose 5*j + 0 = 5*w + 10, -g*j + 3*w + 12 = 0. Solve 2*m = -0*m + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:40 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = 19*v - 46*v. Solve i + 5*i - 6 = v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htttthrhhet. What is prob of sequence ht?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 9*b - b**3 - 7*b + (-2 - 2*b + 2)*(-5*b**2 + 4*b**2 - 2*b**2) - 2 - 7*b**3 - 10*b**3 + 0*b**3.\nAnswer: -12*b**3 - 15*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v - 6. Let p(o) = -o - 2. Let z be p(-4). What is the remainder when 109 is divided by i(z)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84078 and 69012?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*c**2*r*w + 7515*c**2*w - r*w - 18*r - 1227*w - 1 wrt c.\nAnswer: -46*c*r*w + 15030*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3430 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*m - 1488 = 228*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 28 + -42 + -13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**2 - 80*i + 81. Give t(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 480094?\nAnswer: 1440282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -101, -332, -573, -830, -1109?\n\"Answer: -c**3 + c**2 - 227*c + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1578 + 41*g + 1578)*(0 - 3 + g + 2) as t*g + d + m*g**2 and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 8*r - 2 + 2*r + 2 + 3*r + 3*r - 7*r + (2*r - 2 + 2)*(-5 + 3 + 3) + 3*r - 3*r - 3*r + (2 + 1 - 5)*(-r + 0*r + 2 + 0).\nAnswer: -6*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*h, 0*t + 3*h = -4*t + 5. Let g(w) = -79*w - 92*w + t - 11*w. Let c be g(-1). Calculate the greatest common factor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 100.999913. Round i to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))\/(q*q\/((q**7\/q*q*q)\/q))*q\/(q\/q**(-7))*q**0\/q assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -1 (c) -3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3*p**2 + 0*p**2 + (-3*p + p + 0*p)*(-4 - 1 - 4)*(0*p - 6*p + 0*p + (-5*p + 3*p + 0*p)*(1 + 0 + 0) + 0*p + p - 3*p).\nAnswer: -182*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f**(-3))\/((f**(-6\/7)\/f)\/(f*f**40*f*f*f)))**17 assuming f is positive.\nAnswer: f**(5814\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55196.71 micrograms?\nAnswer: 0.05519671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 3*r - 288. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9.149421.\nAnswer: 4.149421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(490)\/sqrt(5) + sqrt(2) + -2*(-3 + sqrt(2)).\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -27*w**2 - 75*w + 142*w - 66*w + 2 + w**3 - 17. What is the remainder when g(27) is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-16)*(-192)\/(-15120)*(0 + 2)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 0, -1\/5, -55961.27?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let o be (-1)\/z - 68\/(-6). Solve 9 + o = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -752 - -749. Let h = 1.9 - 2.3. What is the nearest to 0.3 in i, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*k + 395, -z - k = -21 - 49. Let p be (-1)\/7 - z\/(-35). Solve -4*o + 19 = -7*o + 5*s, 3*o + p*s = 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 425, 684 in ascending order.\nAnswer: -2, 425, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2 - 23)*-1. Suppose -5*z + 6*y + 110 = y, 0 = 3*z + y - 74. Let m be ((-125)\/10)\/((-3)\/z). Calculate the greatest common factor of f and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294824110 is divided by 29482411.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 5. Let x(o) = -3*o + 6. Calculate 7*d(j) - 6*x(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 563 - 263. Suppose -5*y + j = 4*t - 4*y, -5*y = -4*t + 106. Let p = -356 + 617. Calculate the highest common factor of t and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2*o + b**2*r + b*r**3 - 3*o - 79*r**3 with respect to b.\nAnswer: 18*b*o + 2*b*r + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3384, 3389, 3388, 3381?\n\"Answer: -3*r**2 + 14*r + 3373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5692\/7 - 62808\/77. What is the common denominator of -101\/220 and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5164 + -5164. Let z(b) be the second derivative of 0*b**2 + 0*b**4 + 3*b + 0*b**3 + 1\/50*b**5 + j. Solve z(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 2*x + i*x - 36 = 0. Let k(j) be the first derivative of -j**4\/4 + 3*j**3 + j**2\/2 - 647. What is k(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1011569941*y**2 + 223826561*y.\nAnswer: 2023139882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8754 is divided by 1947?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11 = -2*b + 1, -b + 3*r = -6. Let d = -13 - -5. Let m = d + b. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(128))**2 + (sqrt(200)\/sqrt(4))**2 + 5.\nAnswer: 441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135 - 1) + -284 + 315 + -47 + 1.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -255248.\nAnswer: -1\/63812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2*v - v**2 + 4*v. Let n be u(4). Calculate the lowest common multiple of (-3)\/n + 13\/4 and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 92 = 82*h + 28 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 130 + 5. Let b = -14 + 14. Suppose -6*r + 4 = 2*t - 3*r, -5*t + r + u = b. Solve -3*l = 4*d + 17, -3*d = -l + d + t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -500 + 503. Solve 0 = 2*m - 3*m - 4*s + 9, s - i = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -30*a + 48 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 4*c**2 - 2*c + 1. Give p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-4693))\/(1\/19)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - 12. Let g = -25.9999777 - m. Round g to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*o + 1720, -27*o = 4*d - 32*o - 6830. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -0.25. Let k = 0.0195 + -0.2195. Which is the closest to k? (a) 5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/95 - 78\/(-19). Let f(u) be the first derivative of -5\/3*u**3 - 2 + n*u + 0*u**2. Differentiate f(x) with respect to x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + (sqrt(325) - sqrt(325)*1)*-6)**2 + (1*2*sqrt(91) + sqrt(91))\/(-2*(sqrt(7) + (1*sqrt(7) - sqrt(7))))).\nAnswer: -54 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**9\/168 - r**5\/15 + 5*r**2\/2 - 4. Let y(a) be the second derivative of u(a). What is the third derivative of y(l) wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 13\/(-7))\/(8\/14). Let y = 2.4 + -4. Let t = y - 0.4. Which is the closest to t? (a) 5 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*n + 7*n - s, -n = -4*s - 20. Suppose -6*t + 8*t - n = 0. Let w be t - 3 - (3 + 0). Solve w*v - 7*v = -15, -2*a + 3*v - 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {t: 6, c: 1, n: 3, i: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34\/5 (b) 2 (c) 158 (d) 1.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2263322 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09131672582 rounded to 3 decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/15 + 22148*k**2\/15 + 4430*k\/3 = 0.\nAnswer: -1, 0, 11075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/15)\/(2\/12). Suppose 4*o + 20 = s*a, 15 = -5*o + 2*o + 5*a. Let i be (o\/3)\/((-2)\/48). What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**5 + 2*y**5 - 3*y**5)*(41 + 39 + 5).\nAnswer: 170*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -20c09?\nAnswer: -20c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*y - 6, 5*y + 5*a - 64 = -79. Is -3\/698 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: b\"What is the dth term of -39, -23, 9, 63, 145, 261, 417?\n\"Answer: d**3 + 2*d**2 + 3*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -22*t - 249. Is s(-17) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = -t, 5*v + 84*t + 17 = 85*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.66 + 3.3. Let p = -0.29 - z. Let f = 0.03 + p. Which is bigger: f or -0.15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1*((-291)\/(-9) - (-10)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:50 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*j - 2*j. Let q = 25 - j. What is the second derivative of 13*o + 34*o**q - 7*o**4 - 34*o**3 wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z - 5. Let s be u(-4). Suppose w + 4*w - s = 0. Calculate the remainder when 29 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2.523 (b) 3 (c) 29\/3 (d) -1\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorroorrror. Give prob of picking 2 r and 1 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14447\/48 (b) 7\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 19 - 13. What is the units digit of ((-2 - -2) + f)\/((-1)\/(-38))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 19 = -15. Let t = 0.3 + -0.8. Let j = 89\/129 - 1\/43. Put t, j, g in descending order.\nAnswer: g, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 206?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/15)\/(-4)*5. Suppose 4*d = z - 79, -g*z - 3*d - d + 158 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5732*a + 5718*a = 196 - 812. Let h(b) = 18*b + 2. Let t be h(6). Calculate the greatest common factor of t and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2670)\/4*(-204)\/170. Let b = y + -647. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11042849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2730, 27, -9 in descending order.\nAnswer: 2730, 27, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 19, 5, 0 in ascending order.\nAnswer: -3, 0, 5, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 21*k**2 - 194*k - 27. What is the remainder when u(-16) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -26.209, 2\/3, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, r: 5, v: 2, m: 5}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/107 or 434?\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13*l + 65. Let u(i) be the second derivative of i**4\/6 - 372*i. Calculate o(u(s)).\nAnswer: -26*s**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 19*x - 14*x. Suppose 4*w - 1 = x. Solve -7*j + 4 = -w*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -136 + 61 - -53\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-11)\/((-77)\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -5 + -44 + 28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.768 + -1.109. Let x = 0.123 - a. Let d = -1.9 - -2. What is the nearest to d in -1\/4, x, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 285 = -115. Suppose 0 = -16*q + 11*q - 15, 0 = x + 4*q - 134. Let g = v + x. Calculate the least common multiple of 10 and g.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131 + -31013?\nAnswer: -101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12121.00966 - 12104.01. Let x = n - 17. Round x to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbababbaaaababa. Give prob of sequence bbb.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**3 - 268*p**2 + 4*p - 155. Calculate m(67).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3455, -6865, -10275, -13685?\nAnswer: -17095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 236*t**2 + 3*t + 28. Let r(w) = -118*w**2 - w - 14. Let d(h) = -2*m(h) - 5*r(h). Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**3 - 2*a**2 - 2*a. Let u be c(3). Let w = u - -392. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16859407?\nAnswer: 16859407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 3. Let v(w) = w + 2. What is -4*k(t) - 5*v(t)?\nAnswer: -4*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 4. Let m be 1005\/195 + (-2)\/13. Let j(w) = 2*w + 6. Let s(d) = m*j(d) - 8*p(d). Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -2.2. Let o be (-1)\/5 - (-1)\/(-45). Let r = 103\/159 + 1\/53. Which is the nearest to 0? (a) y (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 74 = k. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*r**4 + 26*r**4 + 25*r**5 + (r + 3*r - 5*r)*(-2*r**2 + 2*r**2 - r**4) + (0 + r**4 + 0)*(-5*r + 0*r + r).\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118443*q**3 - 41552*q**2 - 3*q - 4.\nAnswer: 710658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (-1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 8*b. Suppose 0 = -h - 3*h - 4*m + 4, -2*h = 3*m + b. Solve 2*l + 4*s = 18, 3*l = h*s - 8*s + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6270\/60*(-4)\/(-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -419*h + 5444. Determine x(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1668694 + 10036423\/6. Let v = 4030 - m. Find the common denominator of -31\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 10*y - 60. Let s be x(15). Calculate the highest common factor of s and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 135743, 135756, 135769, 135782, 135795?\n\"Answer: 13*k + 135730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -5, 3, -31, -144, 1 in descending order.\nAnswer: 4, 3, 1, -5, -10, -31, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 74 = -9*p. Solve p*j - 3 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 4 (c) 5 (d) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 238 (b) 18 (c) -0.4 (d) 5 (e) -1.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 531?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, -23 in descending order.\nAnswer: 4, 2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 534166.\nAnswer: 8546656","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 82 + 4*b**2 + 119 - 201.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 1 + 5 - 7 + 3*m**3. List 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 (-16)\/(-16) - (-10)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 31*c**3 + 41*c**2 - 79*c + 37. Let b(o) = 36*o**3 + 41*o**2 - 78*o + 36. Let w(z) = -6*b(z) + 7*g(z). What is m in w(m) = 0?\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 4*f + 3. Let v be s(-5). Let i(q) = 4*q**2 + 1. Let w be i(1). What is the units digit of v\/w*15\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8030 (base 15) to base 11\nAnswer: 19357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 237 = -15*i. Sort i, -2, -3, -5 in decreasing order.\nAnswer: i, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-3*f - f + 2*f)*(301 + 133 - 1467 - 3070).\nAnswer: -16412*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 756\/13 - 58. Let u = 17 - 12. Let t be -1 + -1 + u\/4. Sort a, t, 0 in descending order.\nAnswer: a, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/8 + 27169*q**2\/8 + 13585*q\/4 = 0. Calculate q.\nAnswer: -1, 0, 27170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11068, 22212, 33356, 44500, 55644?\nAnswer: 66788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1250*g**3*p - 2*g**3 + 24*g**2*p - 2*g**2 - g*p - 2*g wrt g?\nAnswer: 7500*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -732 - -8435.\nAnswer: 7703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -27100\/2521?\nAnswer: -27100\/2521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:38 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 + 187. Let j = 84 + k. Solve -o = 3*r - 9, j = -4*o + 3*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -347025 + 84?\nAnswer: -346831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-25))\/((-2)\/(-10)). Suppose -4*j + o = -f, 2*j - 4*o - 12 = -o. Solve -i = 5*y - 11, j*i + 3*i = -y + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 0.15 (c) 3\/206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -3 + 1 + -75 + 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 11*m - 9. Let p(k) = -k**2 + 5*k - 4. Let n(w) = 3*c(w) - 7*p(w). Let x = -28 - -43. Suppose 5*l + x = -i, -10 = 2*i - 0*i. Give n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30517\/9 + 3391. Sort z, 2, 109, 5 in increasing order.\nAnswer: z, 2, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i = -2*p - 118, -5*i + 3*p = -289. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3593*s**5\/5 - 1082*s - 980. Differentiate u(t) wrt t.\nAnswer: -14372*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 18. Let d be u(10). Solve -4*q + 2*q + 4*f + d = 0, 0 = f + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 243235300 + -243235083.000602. Let a = b + -217. What is a rounded to 5 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 8)*3\/5. Suppose 0 = -5*h + 5*n + 95, h - l*h + n + 34 = 0. What is the units digit of (-6)\/(-10) - (-6)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1135*i = -1131*i + 9860, 2*m = i + 9860. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - m**2 - 5*m**2 + (3*m**2 + m**2 - 3*m**2)*(-2 + 0 + 0) + 0*m**2 + m**2 - 4*m**2)*(-5 - 15 + 0)*(36*m + 27*m - 111*m).\nAnswer: -5760*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*z - 124 = -223*z. Suppose f - 4*d = 6*f - 47, 4*f + d - z = 0. Solve 2*u - f*u = 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-407352\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n + 3. Let y be b(-3). Suppose -2*u = s - 289, -2*s + u = -y*s + 291. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71774.\nAnswer: 2, 17, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d + 7. Let c be r(6). Let z = c + 64. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1157 + 2425?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -21001110?\nAnswer: 21001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 5, y: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-104)\/(-12)*(-666)\/12. Let s = -133 - q. Calculate the remainder when s is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18657 + 22592. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 + 5*r**2 + 8*r - 17. Let k(j) = -j**3 + 2*j**2 + 4*j - 9. Let s(f) = 4*c(f) - 7*k(f). List the prime factors of s(-4).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 122*z + 334. Calculate a(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-15)\/72*(-20)\/5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - (-4 - -4)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -k - 3*m, 11*m - 16*m = -5*k - 15 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299340554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1008) - (-5 + -2 + 3*sqrt(7)).\nAnswer: 11 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q**4 - 11*q**2 - 1320*q wrt q.\nAnswer: 120*q**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 12. Give y(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1543 - 3102 + 1587 + 2*k.\nAnswer: 2*k + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 500*c**3 + 255*c**3 - 3*c + 2*c**2 - 1 + 246*c**3 to k + b*c**3 + o*c + i*c**2 + l*c**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 388*m + 77. Calculate r(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146324 and 42076.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-675)\/(-2520)*(-240)\/(-30)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, u: 1, t: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 103. Let h = -18 - n. Let f = -1.96 - 0.04. Which is the nearest to 5? (a) -0.4 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**2 - u)*(u**2 + 3*u**2 - u**2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404 - 42001?\nAnswer: -41042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 7*w**6\/6 + 2*w**2 - 7. What is the second derivative of o(d) wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60022 not equal to 60004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 46 - (1 + 24) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16 + 48 + 7*v - 32. Let f(w) = 2*w**2. Calculate t(f(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2 (c) 7.1 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131321333 + -2?\nAnswer: -3131322001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*o - 63, o - v + 5 - 20 = 0. Find the common denominator of 15\/o*(-231)\/15 and -89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Suppose 5*p - 29 - 39 = -4*h, 3*p = 2*h + 54. Put 1, g, p, -5 in descending order.\nAnswer: p, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40784, -40785, -40786, -40787?\n\"Answer: -z - 40783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(931) + -6*2*sqrt(931) + -5*(sqrt(931) + 2))**2.\nAnswer: -476800 - 3584*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 11 + (8\/12)\/((-6)\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (483 - 398)\/(17\/6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722\/24929 or 0?\nAnswer: -722\/24929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 9*i - 8. Sort -0.4, i, 0, 1\/3 in increasing order.\nAnswer: i, -0.4, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncclv. What is prob of sequence lv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 - 0.91. Let l = 0.8 + a. Let t = 12.86 - 12.86. What is the closest to -1 in -1\/2, l, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*g = -24, -4*g + 3 + 14 = -a. Let d(l) = -l**3 + 9*l**2 - 8*l + 12. Let r be d(8). Calculate the lowest common multiple of a and (-4)\/r + 38\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**2\/3 + 230*j - 172\/3.\nAnswer: -2*(j - 86)*(4*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16642910 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 28*f + 57 to s*f + x and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/(-16))\/(2\/10). Solve 4*q = 5*p + r, -2*p + q = 3*q + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00419540918 rounded to five dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111100 - -110010?\nAnswer: 111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 2*g - 6. Let d be i(-6). Let s = d - 2. Let y = -0.5 + -3.5. Which is the third smallest value? (a) s (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, -21, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 322?\nAnswer: 33f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d - 1. Let b(v) = 7*v - 2. Suppose -12 - 4 = -4*a. Determine a*b(w) - 5*y(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8290 + -6)\/(-4) + 0\/(-2). Let d = 3437 - a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 6*s + 5. Suppose 4*m = -4*z + 4, -4*m + 4*z + 32 = -4. Determine j(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 1:43 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2431 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:49 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78))\/sqrt(6) - (1*sqrt(1300) - sqrt(1300)))**2 + -2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 288678\nAnswer: -1\/96226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -5*l. Let z = -2 - l. Is 12 a factor of (54\/2)\/(z\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16)*h)**(1\/4)\/(h**(-9\/7)*h*h)**(-15\/11))**(1\/6) assuming h is positive.\nAnswer: h**(-285\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -7*y + 2*y - 24. Which is the second biggest value? (a) y (b) 2 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15087052?\nAnswer: 2, 1709, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003948 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 1\/168*w**8 + 0*w + 0 - 1\/15*w**6 + 0*w**4 - 2\/105*w**7 + 46*w**2 + 0*w**3 + 4\/15*w**5. Solve t(k) = 0 for k.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = -4*i + 2*i, 2*i - 36 = 5*x. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38391696 + 0.1?\nAnswer: 38391696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1610\/(-1925))\/((-3)\/430). Let o = 1300\/11 - f. Calculate the common denominator of -9\/220 and o.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4 - 1. Let l(h) = -2*h**3 - 2. Let t = -2 + -3. Let j(u) = 3*u**3 + 3. Let n(c) = r*j(c) + t*l(c). Differentiate n(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-46)\/(f**(2\/3)*f)**43*(f**(-2\/9)\/f**(-3))\/(f**3*f\/(f\/f**(-5))) assuming f is positive.\nAnswer: f**(-2182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1784\/(-223))\/(-2 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.66, 36, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4827\/8045*4\/(72\/(-70)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f**4 - 4*f**4 + f**6 - 12*f**4 - 45*f**2 wrt f.\nAnswer: 120*f**3 - 984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38821807099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -833 - -836. Let s be 51 - (g*4\/3 - 8). What is the highest common divisor of 253 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 446*v - 9127. Determine i(19).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1697*t**3 + 559*t**3 + 568*t**3 + 564*t**3 + 110*t.\nAnswer: -6*t**3 + 110*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 329\/17 and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(190) - sqrt(190)*-2)\/sqrt(10).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 - 5258*r**3 - 31474*r**2 + 5258*r + 31476 = 0.\nAnswer: -2623, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.82 - 13. Let a = -2.22 + m. Let y = a + 2. Round y to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - -6471545?\nAnswer: 6471523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2688)\/(-1568))\/((-9)\/((-252)\/(-40))))\/(5\/75).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 19. Let y(r) = 13*r - 36. Determine 9*v(j) + 4*y(j).\nAnswer: -2*j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -4*i + 4*b, -2*i + 4*b = -5*i - 138. Let a be 6 - 36\/i*-7. What is the second smallest value in 0.3, a, 5, 13\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573414525.\nAnswer: 3, 5, 127, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 2756 and 2757 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82371286?\nAnswer: 2, 5479, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 2, d: 2, z: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*y + 513, -9*f = -13*f + 4*y + 548. Suppose -t = -3*d - 5 - 19, 0 = -2*t + 4*d + 54. Calculate the highest common factor of f and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -652*q - 2768. Calculate the least common multiple of r(-5) and 123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 847*l**4 - 422*l**4 - 423*l**4 + 784*l**3 - 2*l**2 - 2 in the form n*l**2 + y*l + t*l**3 + q + g*l**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y*y\/((y**(-1\/18)*y*y)\/y))**(13\/2) assuming y is positive.\nAnswer: y**(1651\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 0*j**3 + 1 - 2)*(-3994 - 1957 - 722).\nAnswer: -20019*j**3 + 6673","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 4*b + 1. Let v(k) = 2*k + 1. Let m be v(-2). Let y be d(m). What is the common denominator of y\/21*(-54)\/(-24) and -95\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -5*n**2 - 2 - n**3 + 112*n + 1\/12*n**4. What is t(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-194)\/10 - 42\/70. Let f = 25 + b. Solve -f = o - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(2 + 2 - 2) + 1 + 1 + 1)*(-z**3 - 349*z + 351*z - z**3)*(14*z + 7*z + 5*z).\nAnswer: 52*z**4 - 52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -2 - 7 - 3. Let t = -3 - k. 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 prob of picking 2 g when two letters picked without replacement from iigiiiiiigi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1672 + -bd?\nAnswer: 15a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/11 + 95452*u - 12527740918 = 0.\nAnswer: 262493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 6*l**2 + 4*l + 45. Is d(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppipiipppipi?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -958052, -958036, -958020, -958004?\nAnswer: -957988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 2 - 42*t + 1 + 46*t - 6*t**2 in the form j*t**3 + b*t + i*t**2 + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 + -132. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.604213402 rounded to 3 decimal places?\nAnswer: 0.604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 269606269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 52*j**2 + 0 - 29*j**2 - 2 - 24*j**2 - 11*j. What is f(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*h - 16 = 0, 23*h - 28*h = -2*b - 17. List the prime factors of b\/(-1) + 336 + -7.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 - 1208*p**4 + 4792*p**3 - 7168*p**2 + 4772*p - 1192 = 0. Calculate p.\nAnswer: 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15096\/44 - 5\/55. Suppose -3*g + 4*f = -1069, 15*g - 14*g - r = -2*f. What is the greatest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(256))\/(-3*-2*sqrt(8)) + 0.\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26 - -12)*(-39)\/(-2). Let y be ((-10)\/2)\/(39\/t). Calculate the greatest common factor of y and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*p**2 - 7119*p + 355073 wrt p.\nAnswer: -26*p - 7119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079225 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from kkkakaakkha?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.236 - 33.\nAnswer: -95.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 2. Let d(b) = -28*b - 36. Give -d(a) + 20*p(a).\nAnswer: 8*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -249*v - 22. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by 9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 7 - -2)*15. Solve 14*i - 5*i - y = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 12:06 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (70\/50 + (-13904)\/560)*(-4)\/16?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 0*t**2 + 0*t**2 + (3*t + 2*t - 7*t)*(0*t**3 + 0*t**3 + 2*t**3) + 1093*t**4 + 46054 - 46054 as v*t**2 + p*t + s + n*t**4 + z*t**3 and give n.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 64*x**4 - 70624*x**3 + 105732*x**2 + 66112*x + 8816 = 0.\nAnswer: -1\/4, 2, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30952 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 19*i - 6. Let b be v(-6). Let w be ((-1)\/5)\/(0 + (-12)\/40). What is the fourth smallest value in w, b, 0.01, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 522\/145*20\/(-6). Let v be h\/18 - 380\/6. Let c = 55 - v. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6482 - -6482.08. Put -1\/6, 3\/8, y in decreasing order.\nAnswer: 3\/8, y, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 + 0.331. Let z = -10837 - -390485\/36. Let o = z - 41\/4. Which is the third biggest value? (a) -3 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*a + 3279260 - 3286148 = 0 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 6260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 121230 (base 4) to base 16\nAnswer: 66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1419\/218245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 2. Let i be k(0). Let v = -27 - -24. Sort v, i, -5.\nAnswer: -5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5 - 91069*h**4 + 2074255534*h**3 - 39374253846*h**2 - 84971638575*h - 43523038125 = 0.\nAnswer: -1, 21, 45525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7874.8 - -7874. What is the closest to 124 in 1, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 5*x + 8*x - 5*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from vmmmmzmmmvmvvz?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14357 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/180 + o**5\/40 + 95*o**4\/24 + 41*o**2. Let i(b) be the second derivative of f(b). Calculate i(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249 times -4?\nAnswer: 0.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose 351 = -a*p + 56. Is (p\/2)\/((-1)\/2) 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 12321 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-7 + 3))*5. Suppose -3*a - 26 = -x, l*x = 3*a - 12 + 94. Suppose c - x = 3. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 w when three letters picked without replacement from {q: 3, y: 1, w: 2, m: 9, h: 1, x: 3}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -10, -1523, 2, -4.\nAnswer: -1523, -10, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jscj when four letters picked without replacement from {c: 1, s: 2, k: 3, j: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 1. Let g be l(-2). Let a(i) = -1 - 106*i + 106*i + i**2 + 0. Let b(s) = -2*s**3 - 5*s**2 + 5. Give g*a(d) - b(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 4*w - 10*w - 6*w + 17*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 64*v = -585. Calculate the greatest common divisor of 1235 and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/18907 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 f when three letters picked without replacement from xexfrfel.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*n**3 + 185568*n**2\/5 + 370922*n - 19272\/5 = 0.\nAnswer: -44\/5, 3\/289, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 + 3. Let f = 0.1 + u. Let k = -0.0022 - 2.9978. What is the second biggest value in k, -5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*q - 43, -4*d + 92 - 16 = -3*q. Let i be (-9)\/6*q\/18. Suppose 0 = -i*g - 0*g + 28. Is g greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2193048*s**5 - 1230*s + 698 wrt s?\nAnswer: -43860960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138\/(-276)*5*-24 is divided by (-2)\/12 - (-49)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 28911990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (9 - 7) + -19 + 20 + (1 - -45)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 177*a**2 - 170*a**2 + 38 - 38 to p*a**2 + t + q*a and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + (-9 - 3))*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:30 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(31\/(-124)). Let z(q) be the first derivative of -3 + 5*q - 1\/2*q**n. What is the derivative of z(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) + (-742)\/(-8)*-1. Let u = 121 - z. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 878\/1085 + -2\/217. What is the fourth smallest value in 3, l, 1\/6, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 18 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0492 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:03 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3176, -3165, -3140, -3095, -3024, -2921, -2780, -2595?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:41 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184634077 = 10*f - 182534077. Round f to the nearest 1000000.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -9.50251292.\nAnswer: -17.50251292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-1)\/1*1))\/((-272)\/68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301333100312 - 3?\nAnswer: 301333100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 + 173*d**2 - 41*d**2 + 3*d**2 + 117*d**2 to the form t*d + w*d**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1222 + 7494 - 1299)*(-5*b + 5*b + b).\nAnswer: 7417*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 80*t - 8 + 0 - 604*t.\nAnswer: -524*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 99*l**2 - 368*l - 93107. Calculate r(-92).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822875?\nAnswer: 5, 7, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2698*p**3 + 4*p**2 + 2*p - 2. What are the prime factors of d(-1)?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123230 - 12?\nAnswer: -3123302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -80. Let w be (6 + -12)*(-2)\/(-4) + f. Let d(c) = -c**3 - 18*c**2 - 18*c - 13. Let s be d(-17). Solve 4*p - 2*p - 20 = 4*z, -w*p - 2*z = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/14*12 + 868\/(-784). Let o(f) = -f**3 - f**2 + 2*f - 1. Let i be o(1). Which is the third biggest value? (a) l (b) -0.3 (c) i (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n + 1. Let h(y) = 113*y**2 + 2*y. Give m(h(a)).\nAnswer: 1695*a**2 + 30*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 15 - 10 - (-22 - -2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 26*z = 0. Suppose g - 28 = -z*g. Suppose -t + 4*x = -0*t - 31, -t + x = -g. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14725 and 1448275.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b2344 (base 12) in base 16?\nAnswer: 311a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/(-640))\/(6\/(-20)). Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1122\/8 + 3\/(-12). Suppose -p = -2*i - 36, 18 - 22 = -p. Let d be 2 - (4\/(-2) + i). What is the highest common factor of l and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98918728.\nAnswer: 2, 103, 120047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + 243225\/525. Let a = 1199 - r. Is 46 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 12 = -26. Let r(h) be the first derivative of 0*h**q + 2 - 4\/3*h**3 + 0*h. Let y(z) = 2*z. Determine y(r(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(2\/23)))\/j)\/j*j)\/j*j)\/(j**(3\/5)*j)*(j**(-2\/3)*j)\/(j**(-21)*j) assuming j is positive.\nAnswer: j**(6088\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1003*o - 18806. Give w(19).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459 (base 11) to base 4.\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - 2*k**3 - 2*k**2 + 3*k**3 to the form g + h*k**3 + r*k**2 + u*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 51. Suppose -4*w - w + t = 0, -2*a - 3*w + 9 = 0. Suppose -5*x + x + 4*u + 184 = 0, 4*x - 5*u - 181 = a. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21336 is divided by 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*((-18357)\/16)\/(-3) + 470\/(-3760). Is 5353 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 3932*d**3 + 3931*d**3 + 8 - 48*d as g*d + t*d**3 + c*d**2 + i and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 219278501280941 take away 5?\nAnswer: 219278501280936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.847 - 0.153. Let h = -0.22 + 0.4. Is h >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 28*o + 53235 = 0. What is the greatest common factor of o and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -14*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54837 divided by -677.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12499, -15588, -18677, -21766?\nAnswer: -24855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935174469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -8.1?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -10. Let h = -27 - -82\/3. What is the nearest to h in -0.2, 1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/155 + -47\/775. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3683544 is divided by 409269?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263601\/20 + 13184. Find the common denominator of 7\/2564 and l.\nAnswer: 12820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y + 2*y + 31*y)*(34 + 36 + 45).\nAnswer: 2185*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -2 - 25*u**2 + 10\/3*u**3 - 1\/6*u**4 - 7*u. Find o such that x(o) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462169, -462166, -462163?\nAnswer: -462160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 321144.4l?\nAnswer: 321144400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 95. Let p be (0 + 6)*1*2\/k. Sort p, -8, -4 in descending order.\nAnswer: p, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(60\/6)\/140.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p*p\/(p**(-1\/8)\/p)*p*p)\/p)**(-9\/4)\/(p*p**(-1\/6)*p*p**(-2\/53)) assuming p is positive.\nAnswer: p**(-90703\/5088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (27\/6)\/((-66)\/(-8))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((3 + -1 - 1) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j**2 - 2*j + 2. Let f(z) = 34*z**2 - 7*z + 7. Determine -6*f(v) + 21*w(v).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 - 6*y + 8. Let z(s) = s**3 + s**2 - 2. Let f be z(-2). What is the units digit of x(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3211 + 1.6211. What is the closest to 2\/11 in h, 5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*s - 9*s = 0, 0 = -a + 5*s + 9. Determine v, given that -4\/11 - 2\/11*v**a - 18\/11*v**2 - 10\/11*v**3 - 14\/11*v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4735743 weeks in hours?\nAnswer: 79.5604824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 4 + 0*s**3 + 6*s**3 + 0*s**3.\nAnswer: -s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*((h\/(h**5\/h))\/h)\/h*h*(h\/(h*h*h\/((h\/(h*h\/(h**2\/h)))\/h*h)))\/h*h*(h\/(h*h**(-1\/2)*h)*h*h)**(3\/11) assuming h is positive.\nAnswer: h**(-101\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - 95*x - 1263. Give r(-15).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/209223 and 115\/251412?\nAnswer: 61093116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54272399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -378 - 37044?\nAnswer: -37411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, s: 13}. What is prob of sequence smms?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9 = 5*b + 5*s, -5*b + 18 = -s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3744*c**2 + 3745*c**2 - 7487*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 54507692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from pmi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, t: 1, o: 5}. Give prob of sequence ts.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*q - 12656 = -312*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Solve -q*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a - 5. Let b(g) = -2*g**2 + 3*g - 18. Let h(n) = b(n) - 3*p(n). Let q = 0 - -9. What is the units digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/46024964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/8)*r**0)\/(r**(2\/3)\/r*r)**(-3\/10) assuming r is positive.\nAnswer: r**(43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33605*y**3 - 33560*y**3 - 55103*y**3.\nAnswer: -55058*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 125311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(150) - sqrt(6) - sqrt(6)) - sqrt(35))\/(-5*sqrt(80)).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*t - 9*t + y, -5*t + 2*y + 19 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 106 = -52*n - 472, -n = -4*y + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4 + m + 49*m**2 + 6*m - 50*m**2. What is a(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 264\/(-54))\/81. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. What is the nearest to 1 in -2, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17449728 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: Let l = -4.193 - -0.193. What is the nearest to l in -5, -2, -2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -792.59 + -1\nAnswer: -793.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3950?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1363 + 1975. Calculate the greatest common divisor of 340 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10878408.\nAnswer: 2, 3, 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2))\/q)**(-2\/39))**(4\/5) assuming q is positive.\nAnswer: q**(16\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 0.024211, -4, 0.5?\nAnswer: 0.024211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 0\/3 + 0. Suppose -2*u + 24 = n*u. Suppose -2*m = u*k - 378, 4*k - 4*m - 343 = m. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 39 = 7. Solve 0 = -4*u + d, -5*u - 2 - 8 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/7*((-18)\/4)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 4, h: 4, l: 1}. What is prob of picking 1 h and 2 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 7*t + 12. Let o be i(5). Let b = 31 + -27. Solve 20 = -5*s - n, b*s + 5*n = o*n - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.721 + 3.87. Let u = 2.53 + j. Let v = u + -0.079. Put 1\/6, v, -3, 3 in decreasing order.\nAnswer: 3, 1\/6, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:08 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12041102 (base 6) to base 2\nAnswer: -1011100011100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 729844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 - 11*o**2 + 5*o. Let k be c(2). Find the common denominator of -17\/77 and 1\/k - 255\/770.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10461568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-2 - 4) + 1 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450081 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose 20 - 4 = 4*c + 4*s, 0 = c + 3*s + 2. Let z be 30\/2 - (2 + -1). Is c\/(z\/(-4)) + 295 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15263*g + 7 + 14 = 15262*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -658, -675, -704, -745?\n\"Answer: -6*w**2 + w - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-18))\/((-32)\/18 - -2). Suppose 4*f - 20 = -u + 13, z*u - 2*f = 57. Solve 0 = 2*w + u - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 7*h + 7*h - 10*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4257)\/(-308) + (-180)\/(-1008).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1628 and 888?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744 is divided by 844?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w = -89*w - 92*w + 2449 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12628391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + (-6 - -13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1216112 and 65\/143072?\nAnswer: 2432224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 - 633 + p + 0*p**2 - p**2 + 627 - p + 2*p**3 to the form r*p**3 + c + z*p**2 + g*p**4 + v*p and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*j*l - 2193534*j - 509252*l**2 - 1 wrt l?\nAnswer: 77*j - 1018504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7) + -2)**2 + 2 + (sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7))**2 + -4)*-4.\nAnswer: -148 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5558*i - 31462 = -25516 + 94098 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(90\/(-8)))\/((24\/(-60))\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*g + 20, -34014*y = -34019*y - 4*g - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/(-25))\/22)\/(32\/(-6560))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664665.9 decades in years?\nAnswer: 6646659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1071, -1093, -1127, -1179, -1255, -1361, -1503, -1687?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -29. Let m be (-2)\/(4\/(-232) - q). Let r = m + -41. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/5 - 273\/105)*1. Let x be (18\/26 - (-10)\/(-10))*-2. Is x >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54961786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/8 + g**2. Let w = -1 + 3. Let b(l) = 4*l**2 - 2*l**w + 0*l**2. What is b(c(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 1886*g - 589511. Determine k(273).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*d - 9 - 58*d - 83*d + 9)*(-61165 + 148*d + 61165) as r*d + w*d**2 + q and give w.\nAnswer: -18056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let w(x) = 1. Suppose 8*y + 2*b = 9*y + 1, 0 = -2*y + 3*b - 2. Give y*w(i) + k(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 26*d**2 - 107 + 29*d**2 + 277*d + 380*d.\nAnswer: 3*d**2 + 657*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 - -268. Let t(j) = j**2 - 3*j. Let k be t(3). Which is the nearest to 0.1? (a) k (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(5))**2*-1*6 + 4.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366.5 - -367. Which is the fourth smallest value? (a) 4 (b) -1\/10 (c) 2\/37 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.753201 days?\nAnswer: 65076566.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - (-3 + -1 + 6)) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2895*q - 2900*q = 108, 0 = -13*i + 9*q + 380 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 924234\nAnswer: -1\/924234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 68*q - 6156. Let w be d(96). Solve -77*z = -15*z - w for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.66 plus -289784858?\nAnswer: -289784831.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317625 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 8*f - 6. What is the remainder when a(-5) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12315897529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 302?\nAnswer: 158550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toov when four letters picked without replacement from ovvoovvtoo.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/148535 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 3*g**2 - g**2 + (38201*g + 36571*g - 80741*g)*(3 - g - 4 + 2*g).\nAnswer: -5970*g**2 + 5969*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.39036 from 0.11.\nAnswer: 0.50036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let l(s) be the first derivative of 0*s - 15 + 91\/2*s**2. Calculate p(l(q)).\nAnswer: -182*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207 - -213. Suppose h*j = 2*j + 8. What is the least common multiple of j and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/7 - 4\/14. Let l(w) = -w**3 - 4*w**2 - 4*w - 1. Let b be l(-3). Let g(r) = 22*r**b + 3*r - 2*r - 15*r**h. What is g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l - 4*d - 4, 3*d - 9 = -3*l. Solve 4 = l*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 26*g**2 - 180*g - 226. What is j(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:03 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-11 - -8 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - 1011?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 44*g - 210 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.29 (b) 5 (c) -4154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6) - (-2)\/(-3). Suppose z - 4*u - 30 = 0, -2*z + 42 = -u - u. Let t = -1 + z. Solve 0 = -5*c - t - v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-988)\/65)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 448 - 422. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 24 (b) -51.4 (c) -1\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -0.3 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 6 - 3)*(2*h**4 - h**2 + h**2) + 16 + 4*h**4 - 2*h**2 - 16 to j*h**3 + i + f*h**2 + g*h + p*h**4 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/76 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/60 - 3*l**4\/2 + 32*l**3\/3 + 2122*l**2 - 2. Give o(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 - 60*f + 81. Let v be d(12). Solve -v = 2*w - 359 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 32. Let s be v\/2 - (-30)\/10. What is the units digit of s + -4 + 60*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g + 875 = 92*g. Let l be (-150)\/g*14\/2. Which is the biggest value? (a) l (b) -2 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 903583.16691 - 0.05\nAnswer: 903583.11691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 275564740*q\/7 - 9491990741408450\/7.\nAnswer: -2*(q + 68891185)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -4 (b) -3\/7 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159320 divided by 7966?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 321, 326, 333, 342?\n\"Answer: f**2 + 2*f + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 8) to base 7.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 91*i**2 - 101*i**2 + 184*i**2.\nAnswer: -8*i**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262872 divided by -87624.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 293851 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5176.\nAnswer: 1\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + -9 + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2108, 16933, 57192, 135605, 264892, 457773?\n\"Answer: 2120*f**3 - 3*f**2 - 6*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/280*8 + 4560\/3675.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-65) + (-1)\/(2\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43395*-10.26.\nAnswer: -445232.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2145 and 7381569.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548*p**5 + 573*p + 2 wrt p.\nAnswer: 10960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((88\/(-80))\/(-11))\/(1*(-2)\/15).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 592.4315nm?\nAnswer: 0.5924315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707648613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11097.483 months?\nAnswer: 92.479025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -124?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(47\/36 - (-147)\/588)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/5210894 and 41\/1783038?\nAnswer: 672205326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:19 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15801?\nAnswer: 3, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 66?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(4\/37)*(((f\/((f**(-1\/4)\/f)\/f*f)*f)\/f)\/f)**(-43) assuming f is positive.\nAnswer: f**(-39807\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, 5, 7, 43, -58, 2 in decreasing order.\nAnswer: 43, 7, 5, 2, -2, -58, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57028 milligrams in micrograms?\nAnswer: 570.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 2*x**3 - x**2 + (x**3 + 0*x**3 + 0*x**3)*(-4 + 4 - 3) + x**2 - 3*x**2 + 427*x**3 - 356*x**3.\nAnswer: 70*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.45 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5268 by 271.\nAnswer: -5268\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n. Let l(u) = -2*u + 125383. Determine l(w(o)).\nAnswer: 8*o + 125383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -431*r + 571*r - 359*r as f + i*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:11 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 20661 - 21959. Solve r + 3*s = 11, -114*s = 4*r - j*s + 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - z**2 + 2*z + 2. Let b be a(-1). Suppose 0 = -5*s - b*c + 1118, 4*s - 3*s - c = 218. Is 74 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111001000000111 (base 2) in base 3?\nAnswer: 20110220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x + 3. Let q be f(-3). Suppose -5*m = -0*m + 5, -2*i + 4*m = -38. Solve -3*t - t = z + i, t - z - 2 = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 13. Suppose 5*g - 2*j = 146, 0 = 5*g - 4*j + 7*j - 131. Suppose -3*c = 11*c - g. Solve -3*p = c*t + 14, 0 = 3*p - 2*t + k + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 0 (c) -2\/85 (d) 2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-4))\/(-7))\/((-6)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 32. Let b = 3 - l. Solve -d = d + b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from qcaqcqccaaacjcca?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -350 - -512. Calculate the smallest common multiple of 33 and o.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**2 + 591*b + 249. Give m(-45).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - ((-338)\/36 - 30\/45) and 137\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220220011200 (base 3) to base 14.\nAnswer: -ca810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 204. Let c = p - 37. Let h = c + 117. What is the third smallest value in h, 2\/9, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -6492370 in decreasing order.\nAnswer: -1, -8, -6492370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 27568?\nAnswer: 27572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69 + 9a3c?\nAnswer: 9aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5 - 4 - 2*h + h**2 + 5. Let z(f) = -2*f - 4. Let l be z(-4). What are the prime factors of x(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Suppose 4*u = 5*h - h + 4, -41 = -o*u - 4*h. Suppose -209 = -3*t + u*x + 174, 4*x - 270 = -2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3545 + -3884.7. Let r = -340 - g. What is the biggest value in 5, -1\/6, 2\/49, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 70726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.863017 weeks in milliseconds?\nAnswer: 2336352681.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 2*a**2 + 2*a - 32. Let h(w) = 2*w**3 - 2*w**2 - 2*w + 31. Determine -3*h(o) - 2*v(o).\nAnswer: -2*o**3 + 2*o**2 + 2*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -75*p**4\/2 + 3280969*p**3\/2 - 30353647*p**2\/2 + 7391535*p\/2 + 393633 = 0?\nAnswer: -2\/25, 1\/3, 9, 43737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/240 + d**4\/12 + 25*d**3\/3 - 59*d**2. Let y(l) be the second derivative of c(l). Let f(w) = 50*w**2. Give f(y(s)).\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g. Suppose g = f + f - 6. Let o(p) = -f - p**2 - 2*p**2 + p**3 - 2*p**2. What is o(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -14 - (30 + -6 + -7 + -7)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3463 + -3463.1. Let i = -0.05 + -0.35. What is the closest to c in 2, -1\/11, i?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -19*n - 5. Let r(i) = 1. Let d = 3 + 2. Let k(t) = d*r(t) - b(t). What is the first derivative of k(p) wrt p?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -38*w + 26*w. Which is the second biggest value? (a) 0.02 (b) w (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 9, 3, -4 in decreasing order.\nAnswer: 9, 5, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 53*f - 840. Let k be y(-66). Solve 0 = -3*x + 3 - k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-120)\/(-72)*24\/4. Solve q = -6*v + v + 22, -5*v - a*q + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6165\/8 - -772. Let q = -9\/8 + o. Let f = -7\/4 - -83\/52. Which is the closest to q? (a) 5 (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20109aa (base 11) to base 4.\nAnswer: -31210320330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16066 times 9?\nAnswer: -144594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 51*o - 25. Let u be s(25). Suppose 0 = 3*y + 4*n - 1187, n = -4 - u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 1\/31 (c) 91 (d) -0.3 (e) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*t + 132 = -174, v - 2*t - 66 = 0. What is the remainder when v is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.9455 hours in milliseconds?\nAnswer: 2141803800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:28 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 81510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3249962835408 plus 3?\nAnswer: -3249962835405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36561438 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -416\/7, 2, -9 in ascending order.\nAnswer: -416\/7, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 21, 71, 159, 297, 497?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/6 - s**2\/2 - 2*s + 2. Let h(l) = l**3 - 4*l + 5. Give -5*f(g) - h(g).\nAnswer: -g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 78, -1?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is da + b?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*6\/(-45)*-5. Let z be 1*(-2)\/(-4)*v. Let n(q) = 3*q**2 - 39*q. Let t be n(13). Sort 1\/8, z, t in increasing order.\nAnswer: t, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129200 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 5016?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 2)*(7 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - x**4 - 5\/2*x**5 + x**2 + 0*x + 5\/2*x**3 = 0. Calculate x.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -104. Let x be (s + -3 - -5) + 239. Suppose f - x = 199. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -307?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -2*g**3 + 0 - 1\/4*g**5 - 1\/40*g**6 + 34*g**2 + 0*g - g**4. Factor h(w).\nAnswer: -3*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -63. Let j(x) = -1. Let b(n) = n**3 - 5*n**2 + 4*n + 1. Let k(y) = p*j(y) - b(y). Suppose -7*w + 2*w + 5*d + 35 = 0, -8 = 2*d. Calculate k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-6))\/(4\/(-16)). What is the closest to x in 1, -3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25\/84 - -7\/12. Let t = 57 - -328.5. Let s = t - 385. Which is the closest to 0.1? (a) k (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6133347 to the nearest integer?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -233, -5, 2, -1, -5\/2 in descending order.\nAnswer: 2, -1, -5\/2, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1515 (base 6) to base 4\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 41*z + 1 - z**3 + 39*z - 2*z**2 - 2*z**3 to the form v*z**3 + l*z**2 + u + m*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 11*j**2\/2 - 96. Let w(v) be the second derivative of v**3\/6 + v. Give w(x(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*w + 12 = 218*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355311 - -3?\nAnswer: -355304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7cc - -a2d79?\nAnswer: a258b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*y - 9 - 5 = 0, 0 = -5*n - 3*y - 35 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) 1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let h(c) = c**3 + 6*c**2 + 7. Let a = 1055 + -1054. Determine a*h(f) + 6*n(f).\nAnswer: f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4314243?\nAnswer: -4314242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0*x**4 + 1\/8*x**6 + 11\/60*x**5 - 22*x**2 + 0 + 0*x**3 + 0*x. Find the third derivative of c(m) wrt m.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 2. Suppose 23 = -2*j + 97. Let w = j - 30. What is the remainder when t(7) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -435 + 440. Let d(h) be the second derivative of 0*h**4 + 1\/15*h**6 - h + 1\/6*h**3 + 0 + 0*h**s + 0*h**2. What is the second derivative of d(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132692 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 3091\/2?\nAnswer: 3091\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**3*o)**42*o**(2\/13)*o\/(o**0*o*o) assuming o is positive.\nAnswer: o**(3265\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.7, 0.4, -4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3781.\nAnswer: 1512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.1, -0.0919, 112.7 in descending order.\nAnswer: 112.7, 1\/2, 0.1, -0.0919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1321.35 + -0.072.\nAnswer: 1321.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 5. Let h(b) = 1. Let r(o) = 20. Let f(t) = -16*h(t) + r(t). Suppose 5*u - 22 = -4*w, 104*w - 106*w = 5*u - 16. Give w*d(v) + 4*f(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and (-3)\/4 + (-756)\/(-112).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 + 4*n - 62. Let h(d) = -d - 1. Calculate the remainder when o(7) is divided by h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 196691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -72974 and -72978 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -379687 and -5.\nAnswer: 1898435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/5847749?\nAnswer: -20\/5847749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/69 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -625, -848, -1071, -1294?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 - -263. Let b(c) = 394*c**2 - 8*c - 7. Is b(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0293, -2883, 2\/21, -5, -0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4044?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v + 7. Suppose 3*t - 3 = 5*z, -2*t - 3*t = 2*z + 26. Put v, 2\/11, t in increasing order.\nAnswer: t, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) 0.1 (c) 15 (d) 1\/23 (e) 4 (f) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y*y*y**(-5)*(y*y**1)**(-9\/5))\/((y*y\/(y*y\/(y**1*y)*y)*y)\/y*y**(-3))**(-2\/9) assuming y is positive.\nAnswer: y**(-722\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*a + 4 = 0, 53 = 4*r - 5*a - 13. Let h = 3 + -10. Let m = -2 - h. What is the remainder when r is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-18 + 3 + -18)) + -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)\/t**(2\/9)*t**9*t\/(t*(t*((t*t**(-3\/2))\/t)\/t)\/t)*t*((t**0*t)**(8\/19))**(-3) assuming t is positive.\nAnswer: t**(2057\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/8 - 13*s**3\/6 - 1378*s**2 + s. Let u(x) = -7*x - 27. Give -9*r(b) + 4*u(b).\nAnswer: -b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + a?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b\/(b\/(b\/(b*b**(-1\/33)\/b*b))))*b*(b\/b**(-27))\/b*b*(b\/(b*(b*((b*b\/(b\/(b*b\/(b**(-5)\/b)*b))*b)\/b)\/b)\/b)*b)**(2\/35) assuming b is positive.\nAnswer: b**(31777\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78010002 divided by -8667778?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.19465 (b) -0.5 (c) -4 (d) -1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 3 (c) -1\/24 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 5*a = 22, 0 = 5*g - a + 44. Suppose 12*c + 452 = 20. Let j be (-1 + 2)\/(g\/c). What is the highest common factor of 24 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 97*s**3\/6 + 29*s. List the prime factors of b(2).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*15728.77\nAnswer: 6291.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-38)*(-6)\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45995.\nAnswer: 5, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j - 2*u - 7, -5*j = -3*u - 21. Let w = j + 1. Solve -2*g = -0*g - w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160451359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 13, -1793 in increasing order.\nAnswer: -1793, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let c = 0 - s. What is the greatest common divisor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36309 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0*s**2 + s**2)*(-8 - 13 + 2).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 2994248*f\/5 - 1120690135688\/5.\nAnswer: -2*(f - 748562)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 + l**3\/3 - 2*l**2 - 3*l - 1. Let u be q(-2). Suppose 3*r - r + 10 = 0. What is the nearest to 0 in r, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 18. Let r = x - -8. Let q be -3 - 2 - 63*(-1)\/13. Do r and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -4, 1\/2, -13, -2\/38891?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -251, 2, 56, 0, 5 in decreasing order.\nAnswer: 56, 5, 2, 0, -1, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-4))\/((-42)\/(-72)). Let u = -16 + 13. What is the closest to 0 in 0.1, u, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307.9*0.1782.\nAnswer: -54.86778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 356381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.033248384 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 - 1\/42*i**4 + i + 2\/21*i**3 - 1\/7*i**2. Factor k(v).\nAnswer: -2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88431)\/(-16844)*(-16)\/(-10)\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 16*t - 46. Let r be g(12). Put r, 4, 18, -5 in descending order.\nAnswer: 18, 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/86 - -2395\/688. What is the common denominator of b and (2\/36)\/((-6)\/(-225))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-12.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -923\/682 + 80\/31. Let y(l) = -2*l + 4. Let d be y(4). What is the common denominator of s and 3\/d*(-66)\/(-81)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + -14 - -3*1 - 4. Let f(g) = 0*g - 27 + 26 + w*g + g. Determine f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 15 = -2*d, -20 = -4*k. Let t(c) = c**2 + 6*c - 7. Let w(j) be the second derivative of j**3\/6 - j**2\/2 - j. What is d*w(v) - t(v)?\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p + 0*p + 21*p. Let r(q) = -5*q + 5. Let i(o) = -1. Let h(f) = -15*i(f) - 3*r(f). Give 7*c(m) - 5*h(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 2784048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 155 = -d + 144, 0 = -d - 4*r + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*w - 2*c, 5*w + 2*c - 5*c = -22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let u(v) be the second derivative of v**4\/2 + 8*v. Give u(g(n)).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose 0 = -0*h - d*h. Suppose 18*m - 22*m + 8*m = 0. Solve h = -m*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 137*b**2 + 4623*b - 4761 = 0. Calculate b.\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27c91 (base 13) in base 16?\nAnswer: -12397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 785\/(-330) - -3 - 2 and -49\/121.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71635568 divided by 116.\nAnswer: -617548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 + 260. Let n = 36 + -34. Let c(i) = -4*i**2 - i + 1. Let a be c(1). Sort a, x, n in decreasing order.\nAnswer: x, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 2. Let m(h) = 10*h + 32. Let t(l) = 9*l + 23. Let k(b) = 3*m(b) - 4*t(b). Determine -4*k(o) - 7*q(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -22. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 14, 13, 10, 5?\n\"Answer: -a**2 + 4*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 3*b)*(-1 - 1 + 1) + 2*b - 46 + 19 - 15.\nAnswer: b - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (-1 + 3 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 428 = -3030. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-65)*20\/(-48)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/208)\/((6\/(240\/(-70)))\/(-126))?\nAnswer: 54\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - 0 - -3 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w**3 + 4009*w**2 - 27088*w + 630. What is v(-315)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2605562210787 and 1.\nAnswer: -2605562210786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*z - 1 - 3, 4*p = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:19 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z + 77. Give j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = 6. Suppose -b*u = -8*u. Sort 1, u, -1, 3 in decreasing order.\nAnswer: 3, 1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.64 - 0.34. What is the closest to 0 in 2, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 5. Let c be n(-5). Suppose c*i - 34 = 2*q, -6 = -3*i - 5*q + 2. Let g be (9\/i + -1)*20. Solve -4 = 5*s - b, -5*b + 0*b = 5*s + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1660*d*j**4*n**2 - 3*d*j**4 + 3*d*n**2 - 550*d - 9*j wrt j?\nAnswer: 19920*d*j**2*n**2 - 36*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188.0576 + 188. Round l to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146974, -586277, -1318448, -2343487?\nAnswer: -3661394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -5\/12*n**4 + 25\/2*n**2 + 0 + 35\/6*n**3 + 102*n - 3\/4*n**5. Determine s, given that k(s) = 0.\nAnswer: -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msjrccmscs. Give prob of picking 1 s and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20120 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9232 * -4.\nAnswer: -3.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 10*-2*105. Let k = 1133934\/541 - d. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 + 7196*v**2 + 2396762*v + 7168700\/3 = 0. What is v?\nAnswer: -10450, -343, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5158566*a**4 - 451753*a**2 + 32.\nAnswer: -123805584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23603, 23568, 23533, 23516, 23535, 23608?\nAnswer: 23753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 8 + (-10384)\/400\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c0c - 3?\nAnswer: 5c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*n - 20 - 24, -4*n = x - 3. Let r be 8921\/33 + 2\/(-6). Suppose -13*y + 10*y + r = 0. Calculate the remainder when y is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.98151 microseconds to days.\nAnswer: 0.000000000879415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 48, 100, 182, 300?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 3. Let q(h) = 5*h - 17. Let g(w) = -2*p(w) - q(w). Give g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1572*q**4 + 830?\nAnswer: 6288*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 - (-32 + 8)) + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:42 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = -2*c, -21*o = -23*o - 3*c - 1. Put -45, -4, -3, o in descending order.\nAnswer: o, -3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 3. Let o(w) = w**3 - 4*w**2 - 5*w - 4. Let b be o(6). Let k = b - 26. What is the least common multiple of y and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18976973 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: In base 11, what is 1 - 758497?\nAnswer: -758496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106175)\/(-9300) + 60\/(-9).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 4337?\nAnswer: 4337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 16. Suppose -i*n + 6*n = 9. What is the second derivative of 6*w**3 - 8*w - 2*w**5 - 7*w**n + w**3 wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-16)\/(-12)*3. Let p = 40 - s. Is 34 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - f - 2*i - 37 - 37 - 0, 3*f - 127 = 4*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -22503320.\nAnswer: -1\/11251660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 8 - 3971*j**2 + 3969*j**2 in the form d*j**2 + u*j + k and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 15*n**2 - 35*n + 39. Let b be h(17). Let x = 38 - b. What is the lowest common multiple of x and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01016004806 rounded to six decimal places?\nAnswer: 0.01016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 58*i**2 + 151*i + 113. Determine x(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1430 - 1429. Let v be (-22)\/100*95\/114. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113fa (base 16) to base 6.\nAnswer: -1303030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53357 (base 9) to base 13\nAnswer: 130a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 18 - 13, -h + 87 = 3*y. Calculate the remainder when 716 is divided by h.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4442*f - 2 + 4457*f.\nAnswer: 15*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = -2*a + c, 0 = 2*a - 5*c + 19. Let o(y) = y + 13. Let l be o(a). Let h = 8 - 5. Solve -h*b = -5*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*v - 145 - 8 - 114*v - 161*v + 14*v with respect to v.\nAnswer: -275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4577472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 25*o - 47. Suppose s = -l + 4, -4*s + 17*l + 14 = 20*l. What is u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 19*q. Let p be g(-5). Calculate the highest common factor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 2\/(4 + -3). Solve -r - 3*x + 2 - 7*x**2 + 4*x**2 - 7*x**3 + 6*x**3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 204471 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:29 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 109 = 117 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40389\/9982 + 18\/713. Find the common denominator of 37\/22 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -63*z**2\/2 + 2*z + 229. Let d(q) be the third derivative of -q**5\/20 - 47*q**2. Give m(d(k)).\nAnswer: 189*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 + 151 - 91 + 2*r - 51 - r**3 in the form w*r**2 + l*r**3 + o + h*r**4 + d*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 6*w + 5. Let y be v(-6). Let u be (-1)\/(y\/(-185)) - -3. Suppose 4*d + u = 6*d. Calculate the smallest common multiple of d and 94.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0783404s to microseconds.\nAnswer: 78340.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 22*h**2 - 69*h**2 + 11*h**2 - 5*h**2 to the form w*h**2 + i + r*h and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7830960*u**2 - u. Let a(k) = 9*k. Give a(q(y)).\nAnswer: 70478640*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)\/(o*o**0))**(-5)\/(o**(2\/13)\/(o*o**(-4\/7)\/o))**(-18) assuming o is positive.\nAnswer: o**(10313\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 25 = 4*y. Let n = 0 + 40. Suppose y*r - n = r. What is the remainder when 18 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002102221 (base 3) in base 13?\nAnswer: -218c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 273219.47 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3*m**2\/2 + 2*m + 3. Let r(h) = 4*h - 2. Let t(x) = -x. Let u be t(-6). Give u*q(c) + 5*r(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -39*o + 188*o**2 - 163*o**2 - 58*o - 78. Differentiate i(r) with respect to r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 290.\nAnswer: -93\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/34*(-23)\/((-276)\/48).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/6 - (-40)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001689 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**7\/3 - 43*z**6\/15 - 69*z**5\/10 - 37*z**4\/6 - 4*z**3\/3 - 89*z + 1. Find x such that h(x) = 0.\nAnswer: -4, -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367 divided by 4.\nAnswer: -367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 47, 44, 39, 32?\n\"Answer: -v**2 + 2*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6333*-17.\nAnswer: -107661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 8.4 (c) -4 (d) 6 (e) -3\/7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1773\nAnswer: 531.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**3*o**2 - 66*l**3 - 155*l**2*o - 3*l*o**2 wrt l.\nAnswer: 66*o**2 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + 100002?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/(h\/h**(-6\/5)*h))**41 assuming h is positive.\nAnswer: h**(-3977\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 2*u)*(3 + 5 + 4) + (0 + 1 + 1)*(-3*u + 0*u + 4*u) + 0*u - 2*u + u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 80 = 3*t. Let v = -14 + t. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21312.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2069 in -2\/17, 18, -1\/2, 2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 25*i**3\/2 - 3*i**2\/2 + 11*i. What is the first derivative of u(s) wrt s?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from dddldddlddld.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 + 3282039*f**2 + 11247627*f?\nAnswer: -12*f + 6564078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -3083645587.\nAnswer: -3083645591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 5 + 7 - 21) + (12 - 5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11815.\nAnswer: 5, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.5, -18, -4, -3, -0.5, -7.2 in descending order.\nAnswer: -0.5, -3, -4, -7.2, -14.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 7.9. Let x = l + 0.6. Let n(y) = y**2 + 2*y + 1. Let h be n(-2). Which is the nearest to -1? (a) x (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*((sqrt(405) + 0 - sqrt(5)) + 4)*-4*1)**2.\nAnswer: 4480*sqrt(5) + 21705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14001 and 24258.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 1, h: 1}. Give prob of picking 3 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-98)*(-2)\/((-92)\/(-161)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1552 + -1348. What is the greatest common divisor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 1260?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 159.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from ttktk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 126*t + 72. Calculate d(63).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -661\/4 - -1189\/12. Let o = -66 - x. Which is the second biggest value? (a) o (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198692.\nAnswer: 2, 3, 43, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2112 and 363648.\nAnswer: 4000128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1015414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53680*w - 16538*w + 14269*w.\nAnswer: -55949*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 418, 836, 1254, 1672, 2090?\n\"Answer: 418*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10101111111010010000?\nAnswer: 10101111111010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 60233*s + 2 + 3.\nAnswer: -60233*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14003\/36 - -389. Let f(l) be the second derivative of 1\/6*l**2 + 0 - 1\/18*l**3 - 3*l + 1\/60*l**5 - r*l**4. Factor f(i).\nAnswer: (i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from vvvfvfvffvfvvv.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 371, 611, 851?\n\"Answer: 240*p - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746 - 794 - 11*d - 8*d.\nAnswer: -19*d - 1540","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 666, 668, 670, 672, 674?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162594\/71 - -2290. Let n = q - -178\/639. Let c = -10\/9 - n. What is the biggest value in c, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -429*u - 3870 wrt u.\nAnswer: -429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10*p = 14*p + 4428, -4*y + 5873 = 5*p. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065203131 to five decimal places.\nAnswer: -0.0652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 2*o**2 + 2*o - 1. Let s be v(1). Let l be (8 - 0) + 0 + s + -5. Suppose -c = l*c. Which is bigger: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k - 3*k + 4*k + (-1 - 6*k + 1)*(0 + 2 - 4) - 2 + 2 - 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 423 - 275. Let h = -143 + d. Solve 7 = -i - 2*g, h*g + 12 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from wfcznfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55357 (base 9) to base 11.\nAnswer: -25675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from bzbbbrzbt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-10))\/((-2520)\/(-4800)))\/4.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58967, -117770, -176573, -235376, -294179?\n\"Answer: -58803*b - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1 (c) 6 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 9*o**2 - o - 6. Calculate d(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -765\/92 + 174\/23. What is the closest to 1\/2 in 0.3, -4, r, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 2. Let q be j(-3). Suppose -i = -2*i + q. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20900\/9 + 2320. Let p = h + 107\/36. Let g = 1.2 - 0.2. Which is the third biggest value? (a) g (b) -2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 305*q**2 + 3315*q - 12825.\nAnswer: 5*(q - 3)*(q + 19)*(q + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)*r\/(r\/(r**(-1\/12)*r)*r))**(-14\/3) assuming r is positive.\nAnswer: r**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.24, -17, 4, -3, 1, 49?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23584 - 23595.961. Let t = -0.521 - u. Let w = t - -0.26. What is w rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((0 - (-1 - -2)) + -168 + 175)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 450653 (base 8) to base 3\nAnswer: 21201110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12634 = 2*j - 9271, a - 21898 = 5*j. What are the prime factors of a?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30350973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*a + 176576 = -43*a. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260 + -121.563418\nAnswer: -381.563418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 209, -4 in decreasing order.\nAnswer: 209, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9547832 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/337321 and 44\/213.\nAnswer: 1011963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17885?\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-8)\/(-3)))\/((-3433)\/82392).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 69 = -41. Let i be 122\/s + (-12)\/22. Let c(q) = q**3 - 3*q**2 + 3*q. Let y be c(2). Solve -2*t = 10, y*t + 1 + 4 = -i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -280412\nAnswer: -3\/280412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, -2\/11, -2, 0.3 in increasing order.\nAnswer: -259, -2, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -42. Let k = 107 + -101. Suppose -5*j = -3*g + k*g - 51, 2*j - 12 = -4*g. Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -27\/4 (c) 0.25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/8)\/((-1)\/2). Let j(g) = -3*g**3 - g**2 + 3*g - 4. Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -22. What is the units digit of (m - (-5265)\/18) + (-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -113. Let c = -86 - k. Let j = c - -74. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 7*l**2 + 8*l - 3. Let o = -15 + 21. Determine q(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15511601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 321961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-1)\/3)\/(10\/(190\/(-209))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14 - 1)*-26. Let o(j) = -276*j + 42. Let u be o(g). Round u to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6596452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -298 + 698. What is the tens digit of (-7 + 10)\/1 + b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2681, -2991, -3487, -4169?\n\"Answer: -93*g**2 - 31*g - 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -14\/5*v**2 + 8\/5 - 16\/5*v + 2*v**3 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-18 + 6 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*h - 16, -4233*r + 4214*r - 5*h + 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(v + 2*v - 2*v) + v + v + 2*v - 892 + 4*v + 892.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 40220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7 - 4) + 4 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 4*u - u)*(-2 + 2 + 2*u**2) - 65*u + 3*u**3 + 65*u - 5 + 5*u**3 - 2*u**3 - 2*u**3 to d*u + o*u**2 + m + f*u**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 444, 444, 442, 438?\n\"Answer: -t**2 + 3*t + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10086 in 3, 5\/4, -2, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let f = u - -1.65. Round f to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 33. Solve -5*i = 5*p + 25, 2*p + 5*i + r = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 7*v - 18. Let r be s(9). Suppose 3*b + 0*h + 3*h = 33, 4*b + 2*h - 50 = r. Let c(q) = b*q**2 - 2451 + 2451. Let n(w) = 2*w. Determine c(n(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -5, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (8 + -1)) + 31 + -42 + -77.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -38*a**7\/7 + a**6\/30 - 73*a**3\/3 - 11*a. What is the second derivative of q(n) wrt n?\nAnswer: -4560*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:28 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1.6. Let z = 1.4 + m. Put z, 0, 0.5 in decreasing order.\nAnswer: z, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2444?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -54, -147, -242, -339, -438?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 * -5.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -8283.114067519.\nAnswer: -8283.104067519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.17 + -21.83. What is the nearest to 0 in 4, 0.2, o, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -326 - -11?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008721375 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 16*n**2 + 19*n - 8. Let w be j(-14). Let t(x) = -w*x**2 + 2 - 2 + 140*x**2 + 1. Calculate t(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13130965*f**5 - 204232*f - 12 wrt f.\nAnswer: 262619300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -595*d - 372. Is 73 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 2*x + 36, -74 = 20*x - 17*x - 2*j + j for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) -0.1 (c) 0.868\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y**(-1)*y*y))*y)**(-7)*(y**(2\/5)*y)\/y*y**9)\/(y**(2\/7)*y\/y**(-7)*y**(-8)*y**4) assuming y is positive.\nAnswer: y**(-801\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22374691 rounded to the nearest 100000?\nAnswer: -22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*5\/25\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}