diff --git "a/data/dm_maths/full_data_2/10954_11255.jsonl" "b/data/dm_maths/full_data_2/10954_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10954_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(i) = 17*i**2 + 7*i - 30. What is the tens digit of n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*(i\/((i*i\/(i*i*i**(-6)*i)*i)\/i))\/i*(i**(-1\/3))**(10\/7))\/((i**(-1))**(-32))**(-5) assuming i is positive.\nAnswer: i**(3224\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9332, -365, -1.\nAnswer: -9332, -365, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*l + 10716*l - 330*l.\nAnswer: 10039*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 28 = -3*m - 6*c, 5*m + 25 = -4*c. Let z = -0.022 + -0.278. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110420 (base 5) to base 4.\nAnswer: -330110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z - 36. Let s(m) = -2*m - 9. Let t be s(z). Suppose -t*q + 2 + 4 = 0. Solve q*o + 9 = -5*v, o + 5*v + 9 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -271\/6 - -45. Let m = 0.4 - -1.1. Let w = m - 5.5. Which is the third smallest value? (a) z (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/132 + 2)\/(3 - (-81)\/(-24))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1 + 1 - 9 - v**2 - 255*v + 244*v. Let z(r) = r**2 + 11*r + 5. Let f(m) = 2*a(m) + 3*z(m). What is f(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.3 (c) -1.78 (d) 0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h + 90 = 61*h. Solve -v + 2*b = -1, -h - 6 = -4*v - 4*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 749 - 749. Let q(a) be the second derivative of -2*a**2 - 1\/6*a**6 + r*a**5 + 0*a**4 + 0*a**3 - 5*a + 0. Find the first derivative of q(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7717238?\nAnswer: 2, 37, 104287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:16 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18986393*s**2 + 138882245*s wrt s?\nAnswer: -37972786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 1, o: 1, p: 2, q: 1, u: 3}. What is prob of sequence os?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - s - 18. Suppose -2*w - w + s = 0. Suppose 28 = -0*f + w*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/13 + -8\/39. Let j = -7 - -12. Sort y, -5, j in ascending order.\nAnswer: -5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14e + -a?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -151*h**7\/210 + h**6\/120 - h**4\/4 + 2815*h**3\/3 + 221*h**2. Find the first derivative of g(j) wrt j.\nAnswer: -604*j**3 + 3*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1691 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-3)\/(-216)). Suppose 0 = 3*g - f - 12. Let p = -38 + 40. What is the highest common factor of g and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 + 5. Let x be p(0). Suppose x*o = 4*w - 6, w = 4*o + 2*w - 12. Solve 4*t - 4 = -4*y, -2 = 7*t - 3*t + o*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4312959?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(4 + -1) + -22 + 1. Let i be ((x\/(-8))\/5)\/(81\/(-6)). Is 1 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 55*h = -34*h - 26*h, 3*p - 4*p + 9*h = 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 351, 1140, 2595, 4908?\n\"Answer: 32*v**3 + 45*v**2 - 44*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 - (8 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -0.187 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191.4 + -191. Let y = 533\/5 + -107. What is the closest to y in p, -4\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3805\/2283*27\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 569*u**3 - 2*u**2 + 3*u - 1. What is the tens digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/15)*q)\/q**(-1\/13)*(q\/(q\/(q**(-6)*q)*q*q))\/q*q*q**(-1))\/(((q*q*q**(-5)*q)\/q**(-3\/8))\/(q**2\/q*q*q)**34) assuming q is positive.\nAnswer: q**(150647\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.1. Let r(m) = -m**2 - 16*m + 18. Let y be r(-17). Which is the nearest to 2\/3? (a) y (b) -7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**3 + 5*i**2 - 3*i + 1. What is the hundreds digit of a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2044, 1552, -1, -94 in ascending order.\nAnswer: -2044, -94, -1, 1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 2 - 2)*(-611 + 176*c**2 + 611 + (-2*c - 2*c + 6*c)*(0*c + 0*c + 2*c)) in the form b*c**3 + y + o*c + z*c**2 and give b.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 16. Calculate the lowest common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -85, -208, -427, -772?\n\"Answer: -5*m**3 - 3*m**2 - 13*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*b**2 + 13 - 13 as s + x*b + j*b**2 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 + -11 + -6 + -27.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:30 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 6 + -7)*(-84)\/56*66\/(-9)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qpqqpqpqqqppqppqppqp.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815*-131.4.\nAnswer: -238491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14831077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27623615 + 0.9.\nAnswer: -27623614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 38*l - 1222. Calculate a(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25*m*m*m)\/m*m*m**(-18) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1026 less than or equal to -1023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.74466 meters to nanometers.\nAnswer: 81744660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*x**5 - 167*x - 2 wrt x.\nAnswer: 5080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:21 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119933\/21 + -5710. Find the common denominator of ((-28)\/(-7) - 0) + (-9)\/(5040\/2024) and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from {v: 1, a: 2, y: 1, g: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13768994, 27538029, 41307064, 55076099, 68845134?\n\"Answer: 13769035*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-65)\/(-25))\/(1\/(-10)). Let t be 0\/(1 + -4 - m). Let i(p) = -p**2 + 3*p - 3500000. Let k be i(t). What is k rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/6 + 67*a - 90. Let r(w) be the first derivative of d(w). Let s(f) = 2*f. What is 3*r(q) + 2*s(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/6 - (-11)\/((-22)\/4). Let c = 2297\/7 - 329. Let s be 26\/(-30) + (-4)\/(-6). Sort c, s, j in decreasing order.\nAnswer: j, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1070 and (6\/6)\/(1*28\/54).\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**2*y + 63*m**2 + 4*m*y**2 + 196*m + 47*y**2 - 44*y - 27 wrt m?\nAnswer: -6*m*y + 126*m + 4*y**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:29 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 424208167 + -1?\nAnswer: 424208166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 9*d**2 + 5*d + 18. Determine j(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.131 - 25.331. Let l = -0.82 - 2.14. Let a = l - 0.04. What is the closest to -1 in 4, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 16*h**2 + 19*h - 15. Let a = 72 - 67. Let l(v) = -4*v**3 - 24*v**2 + 28*v - 22. Let r(j) = a*l(j) - 7*s(j). Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*p + 3*g = 175*p - 2 - 30, 0 = -4*p - 2*g - 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/7 (b) -0.09 (c) -3 (d) -0.03 (e) 21 (f) 5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 5 (c) -0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175681 is divided by 2224.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 330\/624 + (-14)\/91. Sort 0.27, b, -1 in ascending order.\nAnswer: -1, 0.27, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + a - 25 = 0, 5*u = -a - 28360 + 28400 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 22, 25, -1 in descending order.\nAnswer: 25, 22, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 970 and 78739362.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751271 is divided by 189.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38\/252 + 490\/147*1\/(-15)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 226, 425, 694, 1027, 1418, 1861, 2350?\n\"Answer: -f**3 + 44*f**2 - 2*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 9:34 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, 3, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - -122?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + 7296*y - 7298 = 0.\nAnswer: -3649, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**8\/224 + 3*w**7\/280 - 19*w**6\/240 + 3*w**5\/20 + w**4\/4 + w**2. Let k(b) be the second derivative of j(b). Factor k(u).\nAnswer: 3*(u + 2)*(2*u - 1)*(5*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10860682 and 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and ((-6)\/(-6))\/(-3)*-60?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0.1 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2191640 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 2 + -17 - 6) + 49\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6489*k**2 - 6*k - 2828. Let t(j) = -j**2 - j + 14. Let y(d) = p(d) - 6*t(d). Differentiate y(w) wrt w.\nAnswer: -12966*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*28\/(-4)*(-49)\/((-384846)\/2652)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 - -125. Let u(m) = 6 + 7*m**2 - 2 - 4*m**2. Calculate the remainder when u(-3) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 12) in base 11?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2410848 and 400?\nAnswer: 60271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4 - 765\/(-120)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81206461 to the power of 1\/2, to the nearest integer?\nAnswer: 9011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 51 + 309. Calculate the remainder when 57 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256928965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/147)\/(38\/(-5054))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a**(-2\/17))*a**(2\/27)\/a*a\/(a**(-29)*a)*a\/a**24)**(-20\/7) assuming a is positive.\nAnswer: a**(-29300\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 a factor of 1024688370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79044191651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 28 = -f. Suppose 0 = -6*i + f + 3. What is the remainder when 17 is divided by (-2 + -2)*(i + 45\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 30. Suppose x + i = 4*k - k, -48 = -3*k - 3*x. What are the prime factors of 9\/k + 32\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405657135?\nAnswer: 3, 5, 13, 693431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-62121)\/2)\/(36\/(-432)). Suppose -13*m - w = -31*m. Is m 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 140674 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1584) - sqrt(1584)*1)\/(sqrt(44)\/sqrt(176))*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16182 is divided by 54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 306*u**2 + 362. What is l(102)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) 2\/5 (d) 0.2186 (e) 3\/2 (f) 8 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(76) - (sqrt(76)*2 - sqrt(76)))*-4 + (1*sqrt(76)*-6 - sqrt(76)) + sqrt(76))\/((-4*sqrt(16)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: -171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/55092 and 43\/164.\nAnswer: 2258772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23628 and 14.\nAnswer: 165396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 522041, 1044075, 1566109, 2088143?\n\"Answer: 522034*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/(-6)*(-7 + 4). Let t = c + 76. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 23*x - 141. Determine f(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10766456?\nAnswer: 2, 269, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/14)\/((-1917)\/(-4473))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24111 = -1899*n + 630*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2700\/26 - -1*6\/39. Suppose 11*k + 2*k = a. Solve -k = -2*m + r, 3*m = -0*r + 5*r + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/3 + 20*k**3\/3 + 50*k**2 + 19*k. Factor i(h).\nAnswer: 4*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**5\/5 - 206*i**4\/5 + 716*i**3\/5 - 336*i**2\/5 - 1984*i\/5 + 1792\/5 = 0. What is i?\nAnswer: -14\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/1656*(-9)\/15?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 5*f - 2 - 6, -145*z + 146*z = 3*f - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000961327446 rounded to seven decimal places?\nAnswer: 0.0009613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*o + 9 = 0, -3*o = -y - y - 14. Let k be (-4 + 2)\/(0 - y). Let f(w) = 2*w - 1. Let p be f(k). Let a(d) = -d - 3. What is a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001022 + 2122201112?\nAnswer: 2120200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(68)*-2 - -3*(sqrt(17) + 1)) + 5).\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11666 + -116761\/10. Find the common denominator of q and ((-12)\/(-10) - (-286)\/(-66))\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*g - 59797 = 0, 3*g = g + 2. Let m = -2750417\/184 - b. Let z = 1521\/2 + -797. Calculate the common denominator of m and z.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z + 3*z. Let h(q) = q - 2 + 19509*q**2 - 19508*q**2 + 3. Let v(f) = -4*f**2 + 4*f - 6. Let t(n) = z*h(n) - v(n). Factor t(j).\nAnswer: 2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 298 = 5*x - 2*u, 5*x = -3*u + 303. Suppose -y + 4*i + x = -0*y, -2*y + 2*i = -138. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u - 93*u - 12 = -4*v, 2*u - 10 = -2*v. Let k = 1673\/3 + -530332\/951. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 481 - 425. Calculate the smallest common multiple of 28 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 + 16 = 0. Calculate the greatest common factor of 28 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjqj when four letters picked without replacement from {s: 4, q: 2, j: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5286 - 5265 = -3*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8973.366 litres in millilitres?\nAnswer: 8973366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 4, h: 1, q: 6, b: 4}. Give prob of picking 1 h and 1 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from {l: 2, r: 4, y: 1, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 996, 5, 6, 3 in decreasing order.\nAnswer: 996, 6, 5, 3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -10 - ((-2 - 22) + 4 + -14 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/336 + 7*k**7\/30 + 131*k**6\/60 + 107*k**5\/15 + 9*k**4 + 955*k**2. Solve u(t) = 0.\nAnswer: -2, -1, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.7 (b) 342\/859 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65853\/(-86022) + (2\/24)\/(32\/320)?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15936560 less than or equal to 15936580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 157*c - 8*c**4 - 49*c - 12*c**3 - 36*c**2 + 12*c**4 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41130, 82270, 123410, 164550, 205690, 246830?\nAnswer: 287970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21 - 14\/(-49)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 107\/21 - 78\/819. Calculate the common denominator of 11\/73 and 5*(174\/12 - v).\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p + 2 + 83 + 2*p**2 - 3*p. List the prime factors of b(0).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -161, -374, -677, -1070, -1553?\n\"Answer: -45*f**2 + 12*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -131. Suppose -4*k = -3*i - 5*k + 3202, 5*k + 5310 = q*i. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 2508 = -6*k + 98*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2*(-1)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -303, -461, -619, -777, -935?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 + -7)*2\/2. Let a(f) = -11*f**2 + 46*f**2 - u*f**2. Let s(g) = g. Determine s(a(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 > -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -72, -154, -268, -414?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-453 + 453 - 422*f**2)*(-2*f + 1 - 1) - f + f - f**3 - 2*f**3 + f**3 - f**3.\nAnswer: 841*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.16 - -0.16. Let o = -2 - q. Which is the third biggest value? (a) -1\/7 (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002323 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 16. Suppose -178*u + 164*u - 224 = 0. Let k = u - t. Let n(f) = -4*f - 4. Let c(q) = -5*q - 4. Calculate k*c(y) + 6*n(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 877082 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13753 is divided by 362?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 10*o + 105 = 0. Let y(x) = -30*x**3 + 2*x**2 - x - 2. Let v be y(-1). Let n = o - v. Solve -1 = -n*g + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81724 and 5559.\nAnswer: 454303716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7071.\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101101 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, and 2 n when four letters picked without replacement from didnin?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 23*q, 73*c = -q - 73*c + 145*c + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35 - ((-25 - -34) + 9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-96)*4492\/(-864710)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*52\/(-84)*(-3)\/(-2) and -139\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2123a9 + 372?\nAnswer: 212770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.065129 rounded to zero decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/4, -74828, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 8, 5\/3, 4, -533\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 2\/15 (b) 1 (c) 298 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2511 divided by 11?\nAnswer: -2511\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1368)\/(-855)*(-225)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -18. What are the prime factors of d\/12*(27 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 10. Let m = 13 - k. Solve w = -m + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374804731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 7*d**5\/20 - d**4\/3 - d**3\/3 + 5*d**2\/2 + 8*d. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 - 5*z - 2. What is the smallest common multiple of v(-3) and 8722\/126 - (-2)\/(-9)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*i = 217*i + 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 40, 0 in ascending order.\nAnswer: -5, 0, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 4*o**3\/21 + 8*o**2\/7 + 16*o\/7 + 16. Factor m(s).\nAnswer: 4*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 e when three letters picked without replacement from deqrjdt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3 - -3)*1. Solve 6*q**2 - 5*q**2 - 5*q + 2 + 3*q**2 - q**s = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 0 + (6 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*z = -4, 0 = -4*a + a + z - 16. Let h(f) = -f**3 - 6*f**2 - 4*f - 2. Let j be h(a). Let u = j - -38. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m + 9. Let d be s(0). Solve -d = -2*l - g, 2*g - 11 = -5*l + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18479 divided by 4?\nAnswer: -18479\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1584)*-11)\/(0 - 1) + (-343)\/784?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**3 - 5*n**2 + 6*n + 3. Let a(c) = -9*c**3 + 7*c**2 - 9*c - 4. Determine 5*a(q) + 7*g(q).\nAnswer: -3*q**3 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 30*t - 14. Let v be g(14). What is the greatest common divisor of v and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59413122 to the nearest integer?\nAnswer: 7708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23679 + -3125659\/132. Find the common denominator of u and 73\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -136*s + 1. Let q(v) = -v**2 + 18*v - 22. Let g be q(17). Let z be f(g). Let n = z - -3529. What is n rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 2*g**2 - 5*g**2)*(5*g + 0*g - 3*g) + 3*g**3 + 3*g - 3*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.322967 + -13.048333. Let j = z + 0.0113. What is j rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1113, 1115, 1117, 1119?\n\"Answer: 2*l + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162779689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564308573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339116 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/3)*g*g*g)\/g)\/(g*g**(-5\/8)*g) assuming g is positive.\nAnswer: g**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + 9)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 273\/(-3)*1\/(-1). Suppose 0 = 6*y - 4*y + 5*o - 145, -252 = -3*y + 4*o. Let r = n + y. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w - 4*y, -6 = -3*w - y - 4*y. Let l(r) = r - 1. Let n be l(w). What is the common denominator of -6*(n\/15 - -1) and -71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 - 18 = 0. Let z(q) = 3*q**2 - 2 + k*q + 2*q + 85*q**3 - 86*q**3. Is 2 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p**3 - 3*p**2 - 5*p - 2. Let a be i(-1). Let f = a - -26. Suppose 2*c + f = c. Which is greater: c or -13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-133 - -121)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1319*k**2 - 154*k**2 + 4 - 2 - 2061*k**2 - 5311*k**2 to the form p + d*k + z*k**2 and give z.\nAnswer: -8845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 8. Let f be z(2). Suppose -84 = f*w - 6*w. Suppose 0 = -2*x + w + 27. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1245891 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.3167cm to millimeters.\nAnswer: 2913.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 + -1709\/5. Sort 2, 166, 3, x.\nAnswer: x, 2, 3, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -5887622.\nAnswer: -55\/2943811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 871*q**8\/48 + q**4\/8 + 61*q**3\/3 + q**2 - 2943*q. Find the second derivative of z(b) wrt b.\nAnswer: 121940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.72 and -131885.\nAnswer: 226842.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 32 + 8 = 4*b, -2*b = -3*p + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11576261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -193, -271, -349?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 2*d + 11. Let t be g(7). Let y = t + 27. Let r(c) = 21*c - 7. What is the units digit of r(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 18 = -8. Let b = x + 10. What are the prime factors of 20\/b*126\/(-35)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-18) - ((-2)\/(-9) - 0). Let t be (-1 - (-6)\/(-3))*1\/y. Suppose w - t*w = -150. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 20. Suppose 2*z - 5*m - 34 = 0, -5*z - 10 + 95 = -i*m. Calculate the remainder when 33 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 995 - 960. What is the least common multiple of 84 and c?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3352 + 152 = 146*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i**2)*(0*i + 3*i - 2*i) - 19*i**2 + 19*i**2 + 7*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5\/3 - 220*d**4\/3 - 435*d**3 + 32830*d**2\/3 + 104000*d\/3 - 400000 = 0 for d.\nAnswer: -25, -8, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/18*(-774)\/(-172). Suppose 9 + 1 = a*s. Solve 0 = 2*t - 11 + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*d + 4 = -6, -10 = -4*u + 3*d. Let k = -195031\/24 - -8121. What is the common denominator of k and 365\/5*(3\/(-3))\/u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*d**2 - 215 + 211 + 187*d**2 + 236*d**2 to the form c*d + v + z*d**2 and give z.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 29 in ascending order.\nAnswer: 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-5) + 1)*-10. Let k be 30\/x - (-2)\/(-4). Solve -3*f = -k - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -37. Suppose 2*p - n = -8, p - 4*n + 0 + 4 = 0. Calculate the remainder when f is divided by -8*(-1)\/(p\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) + (-51)\/27. Suppose 2*v = -6*m + 7*m + 2, 12 = 4*v. Suppose 3*z - m*l = -0*l + 11, -l = 3*z + 14. Is z at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let n be x(3). Suppose 0*h + 182 = 4*h + 3*y, n*h - 145 = 2*y. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -0. Let g be -1*(2\/(-1) + l). What is the third derivative of g*y**2 - 2*y**4 - 5*y**2 + y**4 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -11 + (16 - 43) + (1 - -71).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 11) to base 2\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 2. Suppose -2*a = -4*a + 130. Let v = a + -43. What is the remainder when v is divided by d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204*t**3 + 1214*t**3 - 86 + 1199*t**3 - 3615*t**3 - 277.\nAnswer: 2*t**3 - 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495 + 500. Let v = 3.5 - -0.3. Sort 0.1, v, k in decreasing order.\nAnswer: k, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 689511*z - 689487*z + 8 = 0, 0 = -5*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.696 plus 0.59?\nAnswer: 1.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 53069796.\nAnswer: 53069796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:17 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -398, -578, -758, -938?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/2*-4*(-1)\/156\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*h**5 + 58510*h**4\/7 + 16096*h**3 - 237520*h**2\/7 + 62304*h\/7 - 1440\/7 = 0.\nAnswer: -6, 10\/391, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47353373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34123, -34130, -34149, -34186, -34247, -34338?\n\"Answer: -m**3 - 34122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 245 + -106. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1113216, 2226423, 3339612, 4452783?\n\"Answer: -9*v**2 + 1113234*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 6*z - 3*z - 2125*z**2 - z.\nAnswer: -2125*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3194*n + 28500. Give y(9).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (160\/15)\/32. Let i(d) be the second derivative of 3*d**4 - 3\/10*d**6 - 13\/10*d**5 + 1\/6*d**7 + 0*d**2 + 0 - 13*d - l*d**3. What is u in i(u) = 0?\nAnswer: -2, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00439462361 to 5 dps.\nAnswer: 0.00439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 73466824412?\nAnswer: 73466824411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22492, 22503, 22536, 22603, 22716, 22887, 23128?\nAnswer: 23451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.46.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4326))\/((-9)\/(983342136879045\/(-20))). Let z = 2525664292 - d. Let g = z + -25\/412. What is the common denominator of 59\/8 and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 482943 - 792?\nAnswer: 482151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**9\/60480 + b**8\/2880 + b**7\/840 + b**6\/720 + b**5\/4 + 11*b**2. Let m(l) be the third derivative of d(l). Give m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31798 + 2)*3 - (5 - 3). Round y to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 5*a - 4, -2*p - 10 = 4*a. Let i(g) = g + 15. Let d be i(-12). Suppose -2*c + d*c = -1. Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 38 - 18 - 34*q in the form b*q + h and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10900*u - 2000. Let s(x) = -3*x + 2. Give l(q) + 1000*s(q).\nAnswer: 7900*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (25 - 33) - 7) + 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 13. Let x be d(11). Solve -4*g = -x*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-24)*18\/63?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.06485993 and -706?\nAnswer: 711.06485993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -33701a8?\nAnswer: -33701a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 2*i**2 - 295565*i**3 + 295617*i**3 + 2*i**2.\nAnswer: 52*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 37 = -39. Let s be (-6)\/q + 7*-2 - -4. Let d(g) = -g**2 - 7*g + 5. What is d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*a**2 - 4*a**2 - 17*a**2 to t + v*a + p*a**2 and give p.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-35) + 4\/(-20). What is the second biggest value in 2, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/35 - -236\/105. Suppose -532 - 2080 = 2*r. Let a = r - -9092\/7. Calculate the common denominator of a and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - 2*y**3 + 3*y**2\/2 + y + 3. Let f be x(5). Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 2*f**3 + 2*f**2 + 2*f - 10. Calculate u(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2 + 3. Suppose f + 2*f + 3*l + 1227 = 0, -1635 = 4*f + s*l. What is f rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxkckqxckkqquq. What is prob of picking 1 u and 1 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -3829, -1, -3\/2?\nAnswer: -3829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttsttttttttt. Give prob of picking 1 s and 3 t.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 190\/(-88)) + 1\/(-4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + f - 13. Let i be y(5). Let m(u) = 66 + 0*u**3 - i + u + u**2 + u**3. Is m(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -515*o + 22104. Calculate c(43).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1*(-4)\/(-16))\/((-18)\/2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 56340?\nAnswer: 225360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6 + 4*m + 10*m**2 - m**2 + 8. Let i be p(-2). Suppose 4*d - 10*d + i = 0. Let g(u) = u**2 - 4*u - 4. Calculate g(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 3 + (0 + 2 - 4)*(-23 + 35 + 43))*(-3 + 3 + 2*y**2) to r + q*y + c*y**2 and give c.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05862732274 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/28*(-19)\/((-5643)\/(-45)) and -48\/935.\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633697 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:34 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -112. Let j be (259 - (-1)\/(-1))*u\/(-100). Let q = j + 153. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/4 + 247*g**4\/2 + 15423*g**3\/4 + 38664*g**2 + 127332*g = 0. What is g?\nAnswer: -12, -9, 0, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.396 plus -7?\nAnswer: -90.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 101045700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1372*b**4 + 2868*b**4 - 1417*b**4 - b**2 + 2*b**3 as x*b**4 + v*b**2 + d + h*b + k*b**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 428\/2*(3 + 4)\/14. Suppose x*r = 88*r + 8835. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 + 8*s + 11. What is the remainder when f(-8) is divided by 0 + 1 - (-4 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 882568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -15 (c) 3\/2 (d) 3\/22 (e) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -593*p**2*w**3 - 3*p**2*w**2 - 257*p**2*w - 2*p*w**3 + 5*p - 1190157*w**3 + w wrt p.\nAnswer: -1186*w**3 - 6*w**2 - 514*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhhjjjmmh. What is prob of sequence jmjm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**19\/j)\/(((j\/(j\/((j**17\/j)\/j*j)*j))\/j)\/j))**(-19) assuming j is positive.\nAnswer: j**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*z**3 - 3*z**2 - 47*z**3 + 92*z**3 to the form i*z**2 + f*z**3 + b*z + t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 1 w when three letters picked without replacement from {x: 1, w: 4, y: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/2340 and -33\/9040?\nAnswer: 1057680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2 - 2)*(2*l**2 - 4*l**2 + l**2) - 10325 + 10369 + l**3 + 10*l**4 - 5*l**3.\nAnswer: 8*l**4 - 4*l**3 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r*u**3*y - 156*r*u**2*y - 2*r*u**2 + 2*r*u*y + 2*r*u - 3*r + 1034*u**4*y wrt u?\nAnswer: 42*r*y + 24816*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*w**3 - 1353*w + 1711?\nAnswer: 6*w**2 - 1353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 - 46*s**2 + 105*s**2.\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-4)*b))*b**(1\/16)*b)\/(b*b**8)**(-2))**46 assuming b is positive.\nAnswer: b**(5911\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g + 2. Let c be t(-2). Suppose 19913*y + 1751 = 19640*y - 160. Put y, -5, c in descending order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 2. Let t be (-4 - -6)\/(2\/19). Let d = t - 16. Let q(z) = -7*z + 8. Let i(b) = -b + 1. Let n(j) = -5*i(j) + q(j). Determine d*n(x) + 5*h(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37220358 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5526*o**3 - 6*o**2 - 218*o - 49.\nAnswer: 33156*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 233*p**2 + 409*p - 2499. Is 81 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2 - 108*r + 628. What is the hundreds digit of v(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by 2\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-39) + (-30969)\/1443.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 73. Let k(s) = 8770*s - 2. Calculate k(x(q)).\nAnswer: 17540*q + 640208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -347 divided by 4\nAnswer: -347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5171*r - 5183*r. Let x(m) be the second derivative of 0*m**r - 32*m - 19\/6*m**4 + 0 + 37\/2*m**2. Differentiate x(f) with respect to f.\nAnswer: -76*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 + 3 - (-170 - -150)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 6. Let t(p) = 4*p - 4. Suppose 0*b - 12*b - 60 = 0. Determine b*r(v) + 8*t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79523 is divided by 182.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9436596l in millilitres?\nAnswer: 943.6596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, s: 2, c: 9}. Give prob of picking 2 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 392*x - 127*x + 265*x in the form z + d*x and give d.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 160*f + 19. Let h(r) = -r + 1. Give 5*h(k) - s(k).\nAnswer: -165*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 10*n**3\/3 + 3. Let h(l) = l**3 + 5*l**2 - l - 3. Let z be h(-5). Let w(j) = 5*j - j**2 + z*j - 7*j. Determine r(w(p)).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/25)\/(4\/10). Factor -52*k**4 - 9*k**2 - 3*k**5 + 57*k**4 - 3*k**3 + d*k**5.\nAnswer: -k**2*(k - 3)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 33*q + 71. Let c(v) = 4*v - 11. What is c(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 43*h - 597. What is the least common multiple of 56 and t(23)?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-3)\/(-2) - 1). Suppose k = -u + 7. Calculate the greatest common factor of k and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**4\/3 - 916*f**3\/3 - 46160*f**2\/3 - 148052*f\/3 + 28560 = 0.\nAnswer: -35, -4, 1\/2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 - 182*m - 166. Let u(a) = -4*a**2 - 184*a - 164. Suppose 5*q = -53 + 68. Let c(j) = q*u(j) - 4*n(j). Let c(y) = 0. Calculate y.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2)\/q*q*q*q**(3\/7))\/(((q\/((q*q**(2\/15))\/q)*q)\/q)\/(q*(q**(4\/7)\/q)\/q*q*q)))\/((q**(1\/14)*q*q)\/(q**(-1)*q))**(4\/3) assuming q is positive.\nAnswer: q**(-57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 6, y: 3, c: 4, e: 2, o: 1}. Give prob of picking 2 e and 2 y.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((11 - 0) + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:58 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004691874648 rounded to six dps?\nAnswer: 0.000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, 1, 4, -4, -583.\nAnswer: -583, -4, 1, 2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334218 is divided by 167.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v + 7. Let d(c) = 4*c + 2. Let m(f) = -7*d(f) + 2*o(f). Let p(z) = 7*z. Let j(h) = 22*m(h) + 6*p(h). Let q(g) = g**2. What is q(j(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/60 + 83*w**5\/60 + 41*w**4\/24 + 23*w**3\/3 - 2*w**2 - 13*w. Let o be n(42). Solve -11*v + o + 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9 = -5, -4*w - d = w - 36*d + 40 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 8*n - 2*n - 6*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-81)*12*(-2682)\/(-2980).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/714 and 11\/1764.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:25 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4032 = -0*n - 7*n. Let c = n - 252. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*s**2*x - 9*g**2*s + 6*g**2*x**2 + 3*g*s**2 + 518*s**2*x**2 - 6*x wrt x?\nAnswer: 12*g**2 + 1036*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.38 - -3.806. Round l to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12303133202 + -2?\nAnswer: 12303133200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 1\/4*o**4 + 0*o**2 - 1\/2*o**3 + 1\/4*o**5 + 0.\nAnswer: o**3*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - (-18)\/(-20). Let b = 4.29 + -4.47. Let u = b - 0.82. What is the fourth biggest value in a, 0.3, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 554*r - 1163*r + 604*r - 18 - 23. What is c(-17)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60413959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/4*(-60)\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13362152, 26724305, 40086458?\nAnswer: 53448611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {k: 1, e: 1, y: 1, z: 2, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 1. Let t(c) = -2*c**3 + c**2 - 2*c + 3. Let m be t(2). Let i = m - -22. What is the lowest common multiple of n(5) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oem when three letters picked without replacement from {o: 3, b: 1, m: 1, t: 1, e: 2, d: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 16518.\nAnswer: 132144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:37 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.2329m in micrometers?\nAnswer: 649232900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/(((-56)\/(-14))\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768*x = -3264*x - 496 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0 + 1\/15*c**5 - 1\/2*c**3 + 0*c**4 - 1\/30*c**6 + 0*c + 18*c**2. Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/3 (c) 0.1 (d) -4854\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/4 - 7351049*f\/2 + 54037921400401\/4 = 0.\nAnswer: 7351049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -33*b - 244. What is the least common multiple of 4 and y(-16)?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 6, w: 3, u: 1}. Give prob of sequence wu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by 6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-3)\/9)\/(-3). Let g(f) = f**3 + f + 10. What is the tens digit of g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117681*4.1\nAnswer: 482492.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -229748 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3151219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59.44 + 60. Let q = n + -0.76. Which is the nearest to 2? (a) -3 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3668, 14731, 33166, 58973, 92152, 132703, 180626?\nAnswer: 235921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 16*r**2 - 96*r = 0. Calculate r.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55648472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 3*p + 6. Let f(n) = 3*n**2 + 5*n - 13. Calculate 3*f(q) + 5*o(q).\nAnswer: -q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/96157 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5)\/x*x**(-2\/11)\/x*x*x**4*x\/(x*x*(x\/(x*x**4*x))\/x))\/((x*(x**0\/x*x)\/x)**(-4\/13))**11 assuming x is positive.\nAnswer: x**(474\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/7)*v)\/(v\/(v*v*v*((v**(-1)*v)\/v*v)\/v))*v**4*v**(4\/11))**(-3) assuming v is positive.\nAnswer: v**(-1503\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11369041919\/12570966 + 3\/698387. Let o = -912 + i. Find the common denominator of o and 71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1435 + 2068. Suppose s - 4*s - 1002 = 0. Let q = s + c. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -15*a, 4*w - 4*a = a - 7*a + 4*a + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 - 11*s - 2. Let u be m(-7). Suppose u*a - 70790 = 16*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 29536.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 29 = 2*v - 3*x, 3*v + x + 18 = 0. Is 2\/v + 316\/28 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a = 31 - 637 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.047 - 2.253. Let w = 3.3 + k. Let n = w - 2. What is the nearest to n in 1\/4, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4 - 4 + (-25*j + 3*j - 10*j)*(-4 + 1 + 1))*(3*j + j - j).\nAnswer: 189*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*2 + sqrt(480) + sqrt(480) - sqrt(480))*3)\/(sqrt(1440)*2 + sqrt(1440) + sqrt(10)).\nAnswer: 36*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/8 - 1\/4. Let m(z) = -z**3 + z**2. Let s be m(r). Let u = -132 + 137. Which is the nearest to s? (a) 1\/2 (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20424, -6965, 6490, 19941, 33388, 46831, 60270?\n\"Answer: -2*h**2 + 13465*h - 33887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*m + w, 2*w + 97 + 99 = 2*m. Is 96 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-36)*24\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let r = 2 - 1. Let c be (25 + -19)*(-2)\/(-6). Let m(l) = l**2 - 58891 - c*l + 3*l + 58889. Calculate r*m(j) + 2*g(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 13*w - 38, -w - 5*y = -49 + 62 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-14) - 28\/(-98). Suppose s + 10 = h - 0, -5*s + m*h - 45 = 0. Let f be 12*(s\/(-5) - -1). What is the greatest common factor of f and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 7, j: 2, a: 7, s: 3, q: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -145 (b) 2\/7 (c) -5\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 7. Let q be r(-5). Suppose -4*k + q*h = -57, h - 74 = -5*k + 2*h. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - -7) - (6 + 16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36632 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: Let g(c) = c**2 - c - 4. Let a be g(3). Let d(h) = -h**3 + 3*h**2 - 4*h + 3. Determine d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4479*g + 4637 + 4490*g - 4640.\nAnswer: 11*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.63 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-3\/5)*z**6 assuming z is positive.\nAnswer: z**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 - -4.8. Let q = -0.01 + -0.39. Sort 1\/4, g, q in decreasing order.\nAnswer: g, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**3 - 162*u**2 + 2712*u + 2882. Let w(j) = 15*j**3 - 322*j**2 + 5428*j + 5765. Let s(l) = -11*n(l) + 6*w(l). Factor s(v).\nAnswer: 2*(v - 38)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, p: 1, e: 1, i: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 133660 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) 2 (c) -15.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let l = 293 + -289. Let d(o) = 3*o - l*o - 42 + 23. Calculate d(n(z)).\nAnswer: -2*z - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5)*(-3 + 3 + 1)*(-5 + 5*y + 5)*(-3*y - 2*y + 3*y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and 20762?\nAnswer: -3944.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = -2*u, -3*j = 4*u - 1. Calculate the remainder when 16 is divided by 1*j\/((-4)\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let w(v) = 12*v + 1. Calculate 2*w(c) + 22*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 674049 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -364 or 81.4?\nAnswer: 81.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {g: 8, q: 4, f: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-1 - (2 + -1)). Find the common denominator of 8\/80*(-78)\/z and (88\/10)\/(54\/(-10)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 - (-8 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 270 = 2456. List the prime factors of t.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g**4\/2 + 2*g**3 + 2*g**2 - 8. Factor p(t).\nAnswer: -2*t*(t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = -4*v - 24, -10 = 5*v + 110*y - 105*y for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + y = -1057, 142 = 2*j + 4*y + 572. Let o = j - -117. Let i = o + 108. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 498.55071 - -0.04929. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45540752531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-14))**(-1) assuming c is positive.\nAnswer: c**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((602\/3)\/7)\/((-4)\/(-6))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - 4*r**2 - 12*r)*(-3*r**2 - 17 + 17).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*s - 3*l, 5*s - 4*s = -5*l - 16. Let p be (2 - 2)*s\/(-4). Which is smaller: 2\/225 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**2 - 8*x. Let d be t(5). Find the common denominator of (2 - d\/(-36)) + -2 and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 152778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 114. Calculate the lowest common multiple of 18 and p.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906976, -3628254, -8163718, -14513368, -22677204?\nAnswer: -32655226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.4 and -0.3.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24052 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1384*k**3 - 408*k + 3 wrt k.\nAnswer: -8304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 24099830?\nAnswer: 24099830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8202552010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3))**(-39)\/(r*r\/r**(-2\/29)*r*r*r\/r**(-1)) assuming r is positive.\nAnswer: r**(-1684\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 11 = 5*q - 2, -4*l - 5*q = -14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 34*t + 269. Let n be p(12). Suppose 0 = 4*b - 9*b + 45. Let x be 1 - -5*(-3)\/b. What is the third biggest value in -0.21, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26195*u**4*v + u**3 + u**2*v**2 + u*v**2 - 192*u*v - 10 wrt u.\nAnswer: 314340*u**2*v + 6*u + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3412 - (1 - -3) - (-5 - (7 + -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-15736)\/562*3*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32522, 129057, 289950, 515201, 804810?\nAnswer: 1158777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/9*40\/(-160)*-4)\/(1\/(-6))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*p - 10 = 0, -3 = m + 3*p - 9. Suppose t = -3*t - i + 73, 5*t + 5*i - 110 = m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - c + 1139, -5*o = 4*c + 1904. Let r be (-55)\/o + 6\/57. Is r greater than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10869323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (4*(2 + sqrt(1216)))**2 + (0 + sqrt(1216))*-2*1.\nAnswer: 496*sqrt(19) + 19523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 36. Let l be d(-15). Suppose 0 = -3*w + 2*h + 4, -2*w + 2*h - l*h = -24. Calculate the remainder when 22 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/9)*k**(-1))\/(k*k**6*k**(-5\/2)))**(1\/29) assuming k is positive.\nAnswer: k**(-107\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2753, 3087, 3421, 3755, 4089?\nAnswer: 4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*((-299)\/(-39) + -8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46918431 - 46918431.39999962. Let w = i - -0.4. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4 - 354*n**3 + 2040*n**2 - 2688*n = 0.\nAnswer: 0, 2, 4, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17520024 and 2.\nAnswer: 17520024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003525 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 22 = 3. Suppose 3*t + 25 = -v + 144, 0 = 5*t - a*v - 225. Suppose -5*f - t = -156. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257509869 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2350 and 250.\nAnswer: 11750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*c**2 + 13*c**2 - 23*c**2 as n*c**2 + r*c + d and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -4 + 19 - (8 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -17 (b) 4\/3 (c) 4 (d) 1\/4 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puppxxlxsxus. What is prob of sequence luu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48729500 rounded to the nearest one hundred thousand?\nAnswer: -48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-8 + 16 + -1) - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + z + 95 = 0, -7831*z + 7903*z = -2*l - 6490 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 15. Suppose -5*n + 2*h = 4, s - 2 = n + 2*h. Suppose n = -l - 71 + 189. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2238 divided by -746.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 667085172 a multiple of 3716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -30.5. Which is the third biggest value? (a) j (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*c - 0*a + 80, -2*c = a + 60. Let z be c\/(-15) + -2 - 256\/(-120). Solve f + 5 = 2*r, 1 = -2*r + f - z*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 16212606?\nAnswer: -16212603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1611956081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:24 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 5*t + 4*t)*(0*t**4 - t**4 + 3*t**4) - 12*t**5 + 19 - 19 + (-6 + 3 + 9)*(-2*t**5 + 2*t**5 - t**5).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3, q: 6, o: 3}. What is prob of picking 2 z and 1 o?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 48 (b) -2\/11 (c) 0.4 (d) 8 (e) 6\/47 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - p**2 + 353*p - 177*p - 173*p in the form v*p + r + n*p**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, -354, -1028, -2312, -4410, -7526, -11864?\n\"Answer: -34*i**3 + i**2 - 33*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-4*50\/40*(-56)\/140.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(104) - sqrt(104)*-3)*-2)\/sqrt(8) + 1*(3*sqrt(39))\/sqrt(3)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4537 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:15 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -245. Let f = g - 200. What is the highest common divisor of f and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let i be ((-216)\/936)\/((-1)\/13). Solve v = i*g - 2, 0 = u*g - 0*g - 3*v + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/5 - 4*z + 10 = 0. What is z?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 369*y**3 + 378*y**2 - 744*y = 0. What is y?\nAnswer: -2, 0, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8994 - 1756 - 512)*(-2*c**4 + 0*c**4 + c**4).\nAnswer: -6726*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -14. Let f = q - 13. Let v = 6.1 + f. Is -2\/7 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -226 (b) 1 (c) -1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 36.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13444 divided by -2?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 + 19 = v, -4*v + 37 = -3*r. What are the prime factors of (582\/9)\/((5\/r)\/(-1))?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*d - 4*f + 84, 4*d - 84 = -f. Let s = -2170 - -2185. Calculate the smallest common multiple of d and s.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 10\/((-20)\/14). Suppose -s*w + 3147 = 5*a, -2*w + 62*a - 67*a = -1581. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1084 and 29\/6740.\nAnswer: 1826540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 + 73. Let w be v(0). Let x(u) = -w + 4*u + 73. Determine x(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21487 is divided by 21464?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 12*z - 5. Let i = -637 - -862. Let t = 231 - i. What is y(t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/457? (a) -6\/697 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in 2\/7, 10, -0.5, -0.067?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 17*l = -15*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/60 + y**4\/8 - 5*y**3\/6 + 67*y**2. Let n be b(-6). What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -143.5, -1.1, 21.9.\nAnswer: -143.5, -2, -1.1, -0.2, 21.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -521, -589, -703, -863?\n\"Answer: -23*j**2 + j - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28224 divided by -1?\nAnswer: 28224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 174019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3965 - -0.3964994328. What is b rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.1 (b) -5 (c) -4\/7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24046173*f**3*x**3 + 592*f**3*x**2 + 37*f**3*x + 11*f**2*x**4 + 49*f*x wrt x?\nAnswer: -144277038*f**3 + 264*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231210 (base 4) to base 8.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190310 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 90\/73 (b) -16 (c) 661\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78081483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0 + -2 + 2. Suppose 0 = -4*a + 5*a + r. Let y(n) = -n**3 - 4*n**2 - 7*n - 7. Is y(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 442?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 28*l. Let i be -1*668*-3 - (-2 - 1). Let z(d) = d - d + i*d**2 - 2006*d**2. Calculate z(s(c)).\nAnswer: 784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32605.57 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446943.\nAnswer: 3, 7, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1680 divide 4816560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p - 4*r + 53 = 0, -4*p = -2*r - 32. Let k be -3*(1 - 3\/p). Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034026501 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 487, -123, 2, -9, -2\/17.\nAnswer: -123, -9, -2\/17, 2, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -10, -35\/3, -6.21?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*a - 3 = -2, -9*a + 5 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05091 and 0.1.\nAnswer: 0.005091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -32196?\nAnswer: 32193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580669 + 580669 - 777*h**2 + 791*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, -58, -1634, -5064, -10966?\nAnswer: -19958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:56 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, z: 2, p: 4}. Give prob of sequence pg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = 1, 25 = 4*z + 5*v. Suppose -z*g = -4*w + 5, -5*w - 4*g + 0 = 4. Factor 2\/7*d**2 - 2\/7 + w*d.\nAnswer: 2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 20 = 2*k, -b - 4*k + 4 = 0. Suppose b*s - 8 = 8. Solve 4*w = -3*z - 3, z + w = -2*w + s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - t**3 + 5320 - 5318 + 17*t as s + z*t**3 + r*t + b*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4364 + 8726 + 12*q**2 - 9*q**2 - 4362.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 24 + -2)*2\/(-5). Let l be (6\/j)\/(-3) + (-50)\/120. Let k be 1\/(2 + -2 + 4). Which is the third smallest value? (a) k (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 117737629 and -357.\nAnswer: 117737272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -3697510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - h = -6*h - 25, h + 5 = -5*x. Suppose x = -5*p - 6 - 4. Let v = -8\/171 - -73\/342. Which is the second smallest value? (a) -2\/21 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7623955nm in millimeters?\nAnswer: 0.0000007623955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007640845 rounded to six dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-4\/3))\/p**(-1\/8))**(11\/4)\/(p**(2\/21)\/(p**(-2)*p)*p**(-6)*p**3) assuming p is positive.\nAnswer: p**(2743\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/737 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 2*z**2 + 0 + 0*z - 1\/30*z**5 + 1\/24*z**4 + 0*z**3. Find the second derivative of k(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(t**5 + t**5 + 0*t**5) + (71171 - 16*t**4 + 71173 - 142343 + 37*t**2)*(0*t + 0*t + 2*t).\nAnswer: -28*t**5 + 74*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v + 12. Let z be (8 + 2)*(-75)\/125. What is l(z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4463, -4558, -4651, -4742, -4831, -4918?\nAnswer: -5003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(85))\/(sqrt(5) - (sqrt(5) - (sqrt(5) + (1*sqrt(320) - sqrt(5))))).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 2*u. Let x(l) = -3*l + 1. Let y(a) = -2*c(a) + 3*x(a). Give y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1241, 3751, 7527, 12563, 18853, 26391, 35171, 45187?\n\"Answer: -v**3 + 639*v**2 + 600*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6934747 is divided by 3457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 7*k**2 - 24*k**2 - 2*k**2.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24061680 divided by -115.\nAnswer: 209232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3941255372 divided by -4.\nAnswer: -985313843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 140 * 176\nAnswer: 24640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 275, 8 in descending order.\nAnswer: 275, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.683918t to micrograms.\nAnswer: 5683918000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 321 + 81. Let k be ((-2)\/6)\/((-11)\/2871). Suppose -4*y + k = -y. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.35792 - -0.19608. Round n to one decimal place.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + b**2. Let m(h) = 5*h**3 - 17*h**2 + 6*h - 3. Let n be m(3). Let r(t) = -2*t**2 + 4*t**3 - 2*t**3 + 7*t**2. Give n*y(i) + r(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/2 - h**3\/3 + 7*h**2 + 12*h - 142. What are the prime factors of u(7)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 36*p**2 + 4*p - 36.\nAnswer: -4*(p - 9)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1393*h - 1396*h = -10, 25 = -2*l + 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -364 - -365. Which is the smallest value? (a) 1\/12 (b) r (c) 2\/19 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 1434*j**2 + 330444*j - 141893640.\nAnswer: (j - 210)*(j + 822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.2, -13.1, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.05 + 48.95. Let q = u + -29. Let g = -24 + q. Which is the second biggest value? (a) g (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h**2 - 28*h. Let l = -11 - -39. Let t(w) = -3*w**2 - 5*w. Calculate l*t(b) - 5*p(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 5 + 0 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*b + 747*b = -409*b + 15158 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5287, 20140, 44887, 79528, 124063, 178492?\n\"Answer: 4947*s**2 + 12*s + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-12)*(-3)\/(-9). What is the nearest to m in -0.5, -1\/3, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**2 + 2*b - 2. Let d = -9751 - -9747. Calculate k(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 - 5\/21*h**7 + 0*h**3 + 0*h**5 + 11*h + 0*h**6 + 0*h**2 + 1\/2*h**4. Find the third derivative of b(a) wrt a.\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 538*t - 13286. Let p be b(22). Factor -56\/9*w + 44\/3 + 4\/9*w**p.\nAnswer: 4*(w - 11)*(w - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, -4*d = 5*q - 128440 - 87259. Let f = d + -35625. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -26 (b) 0.2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/74961 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (-2 + 12 - ((-6 - -27) + -4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15502968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/50700*26*-252?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -23. Suppose 5*f - 510 = -4*r, -3*r + 3*f + 396 = -0*r. Let m be 505\/r + -1 + -3. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - (-39756)\/(-20))*(-5)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-13)\/(-364) - (-2 + (-6474)\/91 + 5)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 69 = -3*z, -66 = 4*n + 4*z - 2*z. Is 11 a factor of (597 + -1)*(n\/(-10))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004282356 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8*b + 28. Suppose -13 = -q + 36. Calculate the highest common divisor of q and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -2\/45*y**5 + 0 + 0*y**3 + 0*y + 1\/90*y**6 + 0*y**4 - 49*y**2. Factor o(p).\nAnswer: 4*p**2*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + 4*u**4 + 95257*u**3 - 2*u**4 - 95264*u**3 in the form y + i*u + m*u**3 + h*u**4 + n*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 442537 + -248770. Suppose z = t - 146233. What is t rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 a factor of 3293574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*i - 14, 5*s - 22 = 2*i + 7. Let t(r) = -r**3 + 2*r. What are the prime factors of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10134, -40477, -91050, -161853, -252886, -364149?\nAnswer: -495642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -5*s**8\/336 - 7*s**4\/12 + s**3\/3 - 80*s**2. Find the second derivative of g(t) wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose -4 = 5*u - 24. Suppose 0 = -5*q - 3*p + 25, -7*p + 3*p + 20 = u*q. Solve w*c = q*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.35 + -0.35. What is the second smallest value in -4, 2, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-78)\/10)\/(8\/(-85)). Let d = -83 + a. Suppose 192762*z = 192741*z. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 168453 (c) 13 (d) -1\/19 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5437284*w**3 + 103461*w**2 - 2*w.\nAnswer: -32623704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/4 or -18?\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1486 + 1458. Let h be -1*63\/k*1. Factor h*r**2 - 25\/4*r - 3\/2.\nAnswer: (r - 3)*(9*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*g, 3*a = -2*g + 824 - 842 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -315664, 27, 1\/4, 3\/4 in descending order.\nAnswer: 27, 3\/2, 3\/4, 1\/4, -315664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3290*o**3 + 3351*o**3 - 9474*o**3 + 2811*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 3*d**2 - 4*d + 4. Let u be k(-4). Let p(f) = f**3 - 6*f**2 + 3. Let l be p(6). Let n be 1 - 0 - (l + -6). Is n less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from srrurzrbsrrubrrebu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let c(h) = 163*h. Calculate n(c(r)).\nAnswer: 26569*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2 + 3 + 1)*(-4 + 5 + 0)*(2 + 2 - 8).\nAnswer: 8*j - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008516 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5769 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22467438113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 239175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Let d be s(1). Let f(w) = -w**2 + w + 7. Let y be f(d). Let n = y + -5. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 21934 + 28493. Is t at most as big as 926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3913 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934*n = 1179 + 15633 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.17 - 1.72. Let o = -0.49 + s. Let z = o - 5. Which is the second smallest value? (a) -3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*r + 0*r**2 - 2*r**3 - r**2 + 3*r**4 - 5*r**4 + 23*r + 1 to s*r**2 + u*r**4 + n*r + l*r**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44\/3 - -15. Let a = -0.2 - -0.1. Let u = 0 - a. What is the closest to u in h, -0.4, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4.2 (b) -0.4 (c) 1\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.700214 rounded to 0 decimal places?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 8. Let t be d(5). Let z(h) = -2 + 6 - 7*h + 0. Is z(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrzzrrrrzrrzzrrrrz. Give prob of sequence rz.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + r + 0*r)*(5 - 1 + 4)*(0 - 3 + 0) in the form g*r + t and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let c = -85 - -80. Let m = c + 3. List the prime factors of (0 - m)*22*(-95)\/(-20).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 415a + -120a3?\nAnswer: -8a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + b + 93 = 7*q, 5*q = -4*b + 111. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1582*o + 2124. What is the units digit of c(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose -1571 + 1556 = -15*i. Solve -3*h + 1 = -2*x - i, m = -4*x + 2*h + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 226, -3, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-120) - 5\/(-2))\/(-3 + 6). Let l = -0.6 + -6.4. What is the second smallest value in v, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 18. Let u be 12 - 10 - s*-2. Solve -3*x = -4*x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-56)\/24 - (-30545)\/15.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10346325.\nAnswer: 3, 5, 11, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 1, h: 5, d: 8}. Give prob of picking 1 h, 1 s, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -3 (b) 1\/2 (c) -11.244 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(-1\/33))**(7\/8) assuming z is positive.\nAnswer: z**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 20615315?\nAnswer: -1\/4123063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 60 = -3*g, 27344 = 5*g + 2*y + 27444 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 110*x**2 - 1655*x + 1760 = 0. Calculate x.\nAnswer: -11, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 133*y - 462. Let h(d) = 3*d - 6. Let i(u) = 2*b(u) - 154*h(u). Let s(w) = 2 - 2 + 13*w. What is 6*i(t) + 91*s(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 1. Let n = 9 + i. Solve 0 = -3*z + 4*z - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068499 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: What is the remainder when 34117 is divided by 17054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:31 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 17*r = -25*r + 463760. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -135, 0, -1\/2, -1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzemp. What is prob of picking 1 m and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + 0 + (-2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 45*a**2 + 363*a + 315.\nAnswer: -3*(a - 21)*(a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2360?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -516, -2491\/123 in ascending order.\nAnswer: -516, -2491\/123, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12736.953 hours in days?\nAnswer: 530.706375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63 + (-52 - (-31 - 65))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2035 * 99.\nAnswer: 911.1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuunntnjunnnu. What is prob of sequence unn?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 23. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -706528, -706588, -706650, -706714, -706780, -706848?\n\"Answer: -a**2 - 57*a - 706470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1364)\/6 + (-2)\/3. Let g be 2\/8 + b\/16. What are the prime factors of (g\/6)\/(3\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d + 4*o, d - 3*o + o = -3. Which is smaller: d or -4\/49?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -255*d + 221*d - 735*d - 4048 - 4*d**2 - 259*d = 0. Calculate d.\nAnswer: -253, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 7*q + 3. Let p be o(6). Let r = -3.5 + 3. Which is the nearest to -1? (a) r (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cclc when four letters picked without replacement from ccccallanacc.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/4))**(1\/3) assuming s is positive.\nAnswer: s**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279060 is divided by 216?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 362434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062188155 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/6 - 3*o\/2 - 3 = 0 for o.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 54 = -35*c. What is the smallest common multiple of 16 and c?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 66. Which is the closest to -0.1? (a) -0.1 (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 t when four letters picked without replacement from tuttttttttttuutt?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10) + (1258962\/9620)\/107?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 - 7*a - 7. Let l be s(-5). Suppose 1 = -l*f + 13. Solve 0 = -f*o + 3*j + 24, -o - 3*j = o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = -y - 180. What is the lowest common multiple of 25 and (20\/(-6))\/(18\/y*5)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/481 or -1?\nAnswer: -10\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3143 + -3125. Suppose 24 + 30 = 2*y. What is the remainder when y is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and -1660.\nAnswer: 232400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*k - 8 = b, -8 = -2*b - 3*k. Solve -2*x + 5*x = 4*c + b, -4 = -3*c + 4*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 3*z + 10.\nAnswer: -(z - 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*h + 2 = -3*d, 3*d + 4*h - 25 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/((-62985)\/(-26))*209.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + 2 + 1 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37513 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1137266 and -47\/20584?\nAnswer: 4549064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 82 - 32 = 0. Calculate the greatest common divisor of 50 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 4*t - 6. Let u(c) = -c**2. Let f(s) = -p(s) + 3*u(s). Suppose f(z) = 0. Calculate z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:13 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a0f3c5 - a?\nAnswer: -1a0f3cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-5 - (-1 - -31)). Let c(q) = -7*q - 2 - a*q - 5*q - 13*q. Let v(k) = -2*k**2. What is v(c(z))?\nAnswer: -6962*z**2 - 472*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 456*n**3 - 365712*n**2 + 2*n - 1601. Determine q(802).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4719 and 2057?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3558872 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10588 - -0.8.\nAnswer: -10587.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - -0.01. Let k = -1084 - -1085. Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from {x: 4, w: 2, u: 1, y: 3, d: 6, z: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34102 (base 5) to base 12.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-21)*(-1)\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2 + 6*u**2 - 2*u + 7 - 12*u**2 + 23*u**2 to x*u + j*u**2 + p and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278041.\nAnswer: 278041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2535 - 2531. Solve -5*k - 188 = a - 178, 0 = p*a + 5*k + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 0 - -28. Let w = q - 17. What is the smallest common multiple of w and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*s + m, -5*m + 20 = 182*s - 187*s. Let d = -3.2 + -0.8. Which is the closest to 2\/5? (a) s (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msemsmsessemsyysm. What is prob of sequence eyys?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -575286 (base 10) to base 3.\nAnswer: -1002020010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 186 + 444. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -6, 0, -1 in descending order.\nAnswer: 11, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7229, 14467, 21717, 28985, 36277, 43599?\nAnswer: 50957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 39*h - 1671. Calculate n(41).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(32\/(-108)))\/((-11)\/(-176)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 135\/(-18) - 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -2093\/17. Let f = -48\/119 - n. What is the third smallest value in -1\/8, f, -1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/15 + 20*j**2 - 5368*j\/5 - 2798192\/15.\nAnswer: 2*(j - 94)*(j + 122)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x + 29067*x**3 - 50648*x**3.\nAnswer: -21581*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162227 and 458815393?\nAnswer: 12479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7219, -14448, -21681, -28918, -36159?\n\"Answer: -2*y**2 - 7223*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -94*q**4 + 12*q**2 + 6*q + 1. Let b(j) = 95*j**4 - 12*j**2 - 7*j - 1. Let k(d) = 6*b(d) + 7*g(d). Find the third derivative of k(w) wrt w.\nAnswer: -2112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26959 times 12?\nAnswer: 3.23508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 + d**2)*(-2*d + d + 2*d) + (0*d - 2*d + 0*d)*(-3*d - 2*d**2 + 3*d) + (2*d**2 - 4*d**2 + d**2)*(4*d + 2*d - 2*d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 7*d + 2. Let g be b(-2). Suppose g*i = -4*k + 640, -14*k + 9*k + 814 = -2*i. Calculate the remainder when k is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*((g*g*g*(g\/((g\/g**(2\/5))\/g))\/g)\/g)\/g)**(-25) assuming g is positive.\nAnswer: g**(-265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + 100. Suppose -4*t + 3*o = -227, -3*o + 4 = -7*o. What is the highest common factor of n and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 57*l**3 + l**2 + 2*l + 1. Let j be p(-1). Let n = j - -54. Let g(v) = v**2 - 3*v - 36. Let x be g(8). Sort n, 2, x, 0 in increasing order.\nAnswer: n, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1 + 2))\/(-1). Suppose 4*q + 67 - 223 = v. What is the greatest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9974050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:54 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 40 = -44. What is the remainder when 72\/w*(-7)\/2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 192 = 4*c + 116, 0 = c + 3*o + 83. Let f = -49 - c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193730650?\nAnswer: 2, 5, 19, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1393 and 3781.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*j + 6*j = 1, r + 4*j = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - p + p)*(2*p - 1 + 1)*(-19 + 22 - 45) to the form g + k*p + f*p**2 + q*p**3 and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4262072534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - (4 + 17)) + (23 - -4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.1 times 4?\nAnswer: 2328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3543 (base 7) to base 2.\nAnswer: -10100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:37 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Is (2292\/36)\/(2\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 12. Let v(x) = 6*x + 23. Calculate -5*a(n) - 3*v(n).\nAnswer: -8*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 13*c**2 - 11*c. Let b be ((-1)\/2)\/(2 - 282\/144). Calculate a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/13, -4, 1\/8 in decreasing order.\nAnswer: 5\/13, 1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 5935872*k**3 - 5935874*k**3 + 0*k**2 - 4*k**2 + k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 + -6 - 1) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114005.44 * -6.\nAnswer: 684032.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - ((0 - 16) + 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 5*f - 32. Let j be i(-9). Solve -j*l = -4*s + s + 11, -5*s = -2*l - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 11, x: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 79 = -4*r, -119 = 157*r - 152*r - 3*p for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -111031?\nAnswer: -111033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) -3 (b) 1\/4 (c) 0.7 (d) 4\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154365089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)**(-2\/29)*(k**(-4))**(-1\/20) assuming k is positive.\nAnswer: k**(49\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 146. Let a(i) = 2*i - 144. Determine -5*a(h) - 4*w(h).\nAnswer: -2*h + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -759480000 rounded to the nearest one million?\nAnswer: -759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -4 + 6 - 20) + 3 - -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.2 - 24. Let n = 0.206 - y. What is n rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 416.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*(-61)\/(-244). What is the closest to 0 in q, 0.04, -2\/3, 64?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.9. Let x be ((-792)\/(-32))\/11 - (-2)\/(-8). Which is the closest to -1? (a) 0 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 4*(-12)\/(-16). Which is smaller: v or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 22*m**2 + 22*m + 58. Let u be c(23). Differentiate 121 - 22*p + 2*p**2 - 19*p + 117*p - p**2 - u*p with respect to p.\nAnswer: 2*p + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224439100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, 0.057, -4, -15?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4308240 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10464.8 rounded to the nearest 100?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 510d0 - 474?\nAnswer: 50c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 234\/(-36)*(-248744)\/13702\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18624\/776*(-2)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10080 divided by 20?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010111110001000110 + -11100?\nAnswer: 101010111110000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -955 + 959. Solve -6 = t*m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-220))\/(38\/22).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) + 0)*5 + (1 + sqrt(17)*-1)**2 + sqrt(102)\/(sqrt(216)*-1).\nAnswer: 17*sqrt(17)\/6 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69199.\nAnswer: 13, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/7)*s)\/s)\/s)\/((s**(6\/13)*s)\/s) assuming s is positive.\nAnswer: s**(-120\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2.169, -2\/7, -0.11 in descending order.\nAnswer: 7, -0.11, -2\/7, -2.169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, r: 3, j: 2, v: 1, x: 1}. Give prob of sequence xjtv.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/945*30\/51\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001003353587 rounded to five decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(sqrt(616)\/(sqrt(11)*4)*-2)\/((sqrt(128) + sqrt(8))*6 - sqrt(8) - ((-1*sqrt(128) - sqrt(128)) + sqrt(128))).\nAnswer: 8*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 5*u**2 - 2*u + 4. Let c be t(4). Suppose -3*h - 3*q = -12, h + 2*h + q = c. Solve -5 = -h*y - 5*f, 5*y + 8 + 32 = 3*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -3. Suppose -5 - k = -c. Calculate the remainder when 8\/40*5*(49 + 5 - 1) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:40 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 3. Let o = 137\/429 + 2\/143. Which is the nearest to o? (a) h (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/418505 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 98*o**2 + 448*o + 24552. Calculate i(-96).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -49. Find the third derivative of 7*k**4 - o*k**4 - 13*k**6 + 9*k**2 wrt k.\nAnswer: -1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -53.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*a - 35, -51 = -5*a - 0*f - f. Suppose -4*d + 2*p = -14, -a - 5 = 5*p. What is the units digit of (5\/10)\/(d\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.238669\nAnswer: -0.0716007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 3*a + 3. What is the remainder when 3 is divided by y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 0*r + 2*r + (0*r - r + 3*r)*(-2 + 5 - 2) + 0 + r + 0 + 4*r - 2*r + 0*r - 2*r + 10*r - 5*r + (-r + 2*r + r)*(4 + 1 - 3).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 729 and 1737207?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2535)\/(-5))\/(15\/((-20)\/(-4))). What is the greatest common factor of v and 12506?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 - q. Let t(c) = -2*c**2 - c. Suppose v - 2*u + 8 = 0, -v - 1 + 2 = u. Give v*j(y) + t(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3179 - -5210. List the prime factors of y.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g - 5. Let z(b) = -18*b - 4. Let f(c) = -6*a(c) + 7*z(c). Suppose -5*k - 3*v - 9 = 0, -4*k = 3*v - 0 + 6. What are the prime factors of f(k)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 23, 43, 71, 107, 151?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 536\/20*10\/4. Let h = y + -20. Suppose -h = -2*b + 107. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38160 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.024792 days?\nAnswer: 144.595008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167*p**4 - 894*p**2 + 6599523?\nAnswer: 668*p**3 - 1788*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4227 - -20?\nAnswer: 4247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v = -80*v + 2580000. Round v to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 12*p + 48. Let i be o(7). Let h(l) = 3*l**2 + 3*l - 162. What is the tens digit of h(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91052740, 91052736, 91052730, 91052722, 91052712, 91052700?\nAnswer: 91052686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*w - 10786, -3*y + 33*w - 28*w = -16229. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25850 + 25834 = -k. Put -1\/5, k, -17 in increasing order.\nAnswer: -17, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2*c**3\/3 + c**2\/2 + 3453. Let f(p) = -3*p**2 - p. Calculate -5*d(v) - 4*f(v).\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((2*sqrt(208)*4)\/(sqrt(72)*-2))\/(2*sqrt(6)\/sqrt(3) - -6*sqrt(8)\/sqrt(4)))**2.\nAnswer: -95\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Solve i - a = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 0 - 2*g - 4 - 3 + 5 in the form m + n*g**2 + u*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -83, -269, -633, -1235?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4b516 (base 12) to base 7\nAnswer: -605250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -380 - 651. Let z = s - 425. What are the prime factors of z?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Suppose j = 2*s - 3*s. Solve s = -0*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*h - 3*u - 1168, 4*u = h - 232. Calculate the highest common divisor of h and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-7 - -8)*-7. Solve 2*l - 2 = -3*x, -22 = 3*x + n*l - 8*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -17. Let x be (12\/15)\/(b\/(-5)). Sort x, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6.15, 0.5 in ascending order.\nAnswer: -2\/7, 0.5, 6.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/162 and 71\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (476\/6783)\/((-16)\/72)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6993, -13990, -20991, -27996, -35005, -42018?\nAnswer: -49035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*k + 25, -2*k = 2*k - 2*x - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -1330498.\nAnswer: -33\/1330498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5179 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38907613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 6*r. Let d be a(1). Is d < 3\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 9. Let o be y(-5). Let m(j) = j**3 + 4*j**2 - 3*j - 1. Calculate m(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 6, 1309, 2, -1.\nAnswer: -4, -2, -1, 2, 6, 1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 73\/4 of a microsecond?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 439670 and 188430.\nAnswer: 1319010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = -4*p - 5, 0 = -2*g - 3*p - 1. Differentiate 5*i - g - i - i + 0*i with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501\/(-1670) - 178\/(-60).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 4169217721?\nAnswer: -4169217721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -195*n**2 + 406*n**2 - 3 + 4*n - 200*n**2. What is the units digit of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17235, -34379, -51521, -68661, -85799, -102935?\nAnswer: -120069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let a be 55\/33*(g - 1). Suppose -32 = -a*l - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 85478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1757.82?\nAnswer: -1762.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 - 140 - 142 - 133 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.007 (b) 0.15 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 219 + 155 = 0. Solve -5*v + 0*w + d = -4*w, -4*w - 2 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8417072 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 - 5*v**2 - 4*v - 2. Let l(u) = 8*u**3 + 25 - 13 - 5*u + 0*u - 14 - 6*u**2. Calculate -5*l(k) + 6*o(k).\nAnswer: 2*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 12:29 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-30)\/26))\/(29\/11890*41).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 118453 = -14792. Does 45 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -i - 3*c, 5*i - 7*c + 5*c - 214 = 0. What is the remainder when 151 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 45*n - 136. Give v(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -24 + 192. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.2 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:37 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2405 by 5.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3949.\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16102 - -16117. Solve 5*b + y = r, 0 = -13*b + 16*b + 4*y - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325\/6 <= 102\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 49*j**2 + 68*j + 111. Let h be y(28). What is the highest common factor of 369 and h?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 + 12562*r - 3165468 = 0.\nAnswer: 263, 6018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/47540220 and -113\/96.\nAnswer: 380321760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042088 to six decimal places.\nAnswer: 0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*s - 1, -10*s + 13*s - 18 = -4*l. Solve 8*o = 3*o - n + l, 6 = o + 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + d**2 - 2*d)*(1 + 2 - 4) - 3*d**2 - 7*d**2 + 0*d**2 - 6 + 6 + 2*d**2 to y + s*d**2 + j*d and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bidr when four letters picked without replacement from {t: 3, b: 4, i: 1, r: 3, h: 6, d: 2}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8)\/(((-29)\/2900*-5)\/((-6)\/425)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2, 1040, -2, -7 in increasing order.\nAnswer: -7, -2, -1, 0, 2, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 37*r**2 + 104*r - 19. What is p(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1415*j**5*l**2 - 3443*j**5 + 126*j**2*l - 2*j*l - 2*j - 21*l**2 + 26 wrt j?\nAnswer: -84900*j**2*l**2 - 206580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + 72. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 57*p**6\/10 + 217*p**2\/2 - 5*p + 6. Differentiate a(k) with respect to k.\nAnswer: 684*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5857 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 + (-11 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = 0, 3 = 4*x - 5*y - 12. Let j(u) = -u**2 + u. Let m be j(x). Is (m - 3) + (135 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 652288 and 146848?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963903.\nAnswer: 919, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 7*r + 35. Let i be y(10). Is (1263 - (i - 1))*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*m, 0 = -4*m + 4*y - 0*y. Suppose 4*w = 2*z - 2 - 0, 2*w - 2 = m. Find the third derivative of -2*b**z + 3*b**3 + 5*b**2 - b**2 + 0*b**3 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 11 + 7 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -154336909626.\nAnswer: -154336909628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*v - 25, -5*q + 3 + 20 = -2*v. What is the second smallest value in 4, 5, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*o**4 + 7490836*o**3 + 5618160*o**2 - 11236252*o - 9363560 = 0. What is o?\nAnswer: -1, 5\/4, 468178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*h + 19 = h, 34 = 5*f + 3*h. Suppose 25 = -f*q - 0*q. Let y = -5.8 + 6.1. What is the third biggest value in y, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -66. Suppose -t + 5 = -0. Calculate the remainder when g is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m + 14. Let b be c(0). Let n(v) = v**2 - 14*v - 7. Let w be n(b). Let h = -9 - -3. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y + 10. What is f(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184482, -367750, -551018, -734286?\n\"Answer: -183268*o - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)*99\/108*6. Find the common denominator of 3 - 2 - (-8)\/(-3) and 433\/(-143) + (-2)\/n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**4\/2 + 197*b**3 - 493*b**2\/2 + 45*b = 0. Calculate b.\nAnswer: -45, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/3 - 25*a. Let t(g) = -16*g**2. Give v(t(q)).\nAnswer: 1024*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 13*n - 25. Give k(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -34, -61, -90, -121, -154?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riugglyy. What is prob of sequence ugi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 551, 772, 991, 1208?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20967929*f**2*k**3 - 2*f**2*k**2 - 15*f*k**3 + 8*f*k**2 + 16201*k wrt f.\nAnswer: 41935858*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -13. Let j be y\/9 + (-2)\/6. Suppose t + 55 = 2*a, -t + 80 = j*a + a. Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.00000056. Round z to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*q**2*u*x + 44*j*u**2*x - q**2*u**2*x - 57*q**2*u*x + 2*x with respect to j.\nAnswer: 7*q**2*u*x + 44*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/8 - -1)*0. Suppose r + p*j = -j + 39, r - 36 = -4*j. Calculate the greatest common factor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*c - 4 + 6, 3*t - 6 = -3*c. Solve -5*r = 4*v - 9, 6 + 1 = -c*v - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*51\/(-136)*-4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 10, 7, 15 in descending order.\nAnswer: 15, 10, 7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -13. Let u be (20\/(-175))\/(b\/(-15)). Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106.1 - -447.8. Round y to the nearest 10.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28154*y + 29832*y - 617*y.\nAnswer: 57369*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1272 + 1273. Let o = 1430377\/428 - 3342. Let j = 845\/4708 + o. Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*m + 274 = -834, -3*m = 4*i - 1478. Put -1, 0.5, i in increasing order.\nAnswer: -1, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 3)*(-112 - 38 - 90)*(0*h - 4*h + 2*h).\nAnswer: 3840*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -11*l**7\/840 - l**6\/180 - l**5\/120 + l**4\/24 - l**3\/3 + 2*l**2. Let a(d) be the first derivative of x(d). Is a(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 14) to base 7.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -201347036 + 2?\nAnswer: -201347034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-9)\/18*8. Sort 4, -210, v in decreasing order.\nAnswer: 4, v, -210","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*v + o, 7 = 4*v + o - 17. Suppose -2*k + 37 = v. Suppose 3*b - 178 = -4*r + 114, -4*r = -5*b - 356. What is the remainder when r is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7717 - 117. Is 80 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {j: 1, e: 8, m: 6, v: 1, y: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2165360 + -3?\nAnswer: -2165363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4114 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 4*w. Let c(q) be the first derivative of w*q - 7\/3*q**3 - 3 + 0*q**2. Let v(d) = d**2. Determine c(v(f)).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.51394 and 0.7796?\nAnswer: 0.26566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*s**3 + 3*s**3 + 85663331*s**2 - 85663329*s**2.\nAnswer: -752*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*d + 2. Let g be 50\/15*(-6)\/d. Let h be (4 - 8) + 3 + 0. Sort h, 3, g in decreasing order.\nAnswer: g, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 1. Let d = 781 - 778. Let f(a) = -2*a. Give d*r(m) - 5*f(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 0.1 (b) -4\/7 (c) -26 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-2)\/(-8)). Suppose 42 = f*n + 4*h, 20 = 2*h + 2*h. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -2. Let d(x) = -18*x + 5. Let o be d(-4). Suppose 3*g - o = 2*g. Calculate the highest common factor of i and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 14*s**3 - 1.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2155767 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 4*y + y**3 + 5 - 2*y + 9. Let u(d) = -d**2. Calculate u(k(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/399 and 5\/7106.\nAnswer: 149226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.902 - -23. Let d = l - 0.198. What is the third biggest value in -2\/21, 0.4, d, 0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 284*c**3 - 565*c**3 - 22 + 283*c**3 + 10*c - 5*c**2. What is the units digit of f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/9*z + 8\/9 + 2\/9*z**2 = 0. What is z?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785.331 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -2, 10\/9, 2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*w + 32, 3*q = -4*w + 13 + 23. Let a(m) = 2 + 22*m - 19*m + w - m**2. Suppose -5*c - s + 7 + 26 = 0, 0 = 2*s - 6. What is a(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/15002 and 41\/1731.\nAnswer: 45006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*a + 14 + 525*a**2 - 453*a**2 - 14 + 1232*a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 13 = 42*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 61, 97, 157, 247, 373, 541, 757?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2 - 5*t + 1. Let m be j(-4). Solve m = 4*o + 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*c - d, c - 31 = -5*d + 10. Let z = c - -2. Calculate the lowest common multiple of 22 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 7473716?\nAnswer: -7473720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589184 = -14510*a - 259641 + 364103 + 815394 for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*h + 4*o + 1, 2*h + 3*o = 0. Is (7\/4)\/(h\/(-36)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -19. Let r be ((-9)\/10)\/(16\/q). Let -1\/2*b**2 - 5*b**4 + 13\/4*b**3 + 0 + r*b**5 + 0*b = 0. Calculate b.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 25, 41, 61, 85, 113, 145?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3 - 3)*(7*h**3 + 14 - 14)*(0 + 3*h + 0).\nAnswer: 42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 0.6 (c) -2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-80)\/(-6) + 1. Let a = s - 38. Suppose 39*p**a - 11*p**3 + 527*p + 120*p**2 - 383*p + 32 = 0. What is p?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 229 (c) 0.16 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 5*j**2 + 5. Calculate the least common multiple of f(-5) and (-3)\/6*(-90 + -10).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 + -78. Let b(i) = i**3 + 3*i**2 - 4*i - 4. Let w be b(-3). What is the highest common divisor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2\/15 - (-13)\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58159 and 3477.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 44 = 0. Let m be 1 - (-15)\/(-12) - 1716\/(-16). Let z = -103 + m. What is the greatest common divisor of z and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22827132242595 + 0.4\nAnswer: 22827132242595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, t: 1, w: 1}. What is prob of picking 1 g, 1 w, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10639\/(-11) + 14\/77. Let y = -508 - g. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 1\/8, -149, 3\/10, -1, 1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 77.9. Let x = 6 + a. What is the nearest to x in -2\/5, -1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -298, 4, -2 in decreasing order.\nAnswer: 5, 4, 0, -2, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 421, 44 in increasing order.\nAnswer: -13, -5, 44, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10695428867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*g + 1288, 5*r - r - 3*g - 2578 = 0. Suppose 0 = 4*q + 26 - r. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.051 or -2\/443?\nAnswer: -2\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*o - 7940 - 3484. What is the highest common divisor of 203 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + n - 2. Let d(c) = c**2 - 1. Let l be ((-28)\/(-35))\/((-2)\/10). Let o(y) = l*d(y) + p(y). Factor o(g).\nAnswer: -(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8473*d**2 + 2224*d.\nAnswer: 16946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(16\/(-4))*-2*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(450) - 4*sqrt(1250))\/(sqrt(10) + sqrt(110)\/sqrt(396) + (sqrt(80)\/(sqrt(24)\/sqrt(3)) - sqrt(10))).\nAnswer: -174*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.012 times -32298\nAnswer: -64983.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 10*w**2 - 5. Let t be 36\/24*(-22)\/3. Let p be f(t). Is 6 a factor of 4\/(-6) - p\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2286\/1651)\/((-9)\/78)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176510007 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = -20. Let w = 7 + z. Solve w = d - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.4, 1.9082, 0.3.\nAnswer: -0.4, 0.3, 5\/3, 1.9082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15066*t**3 + 189*t**2 + 1507*t**2 + 15067*t**3 + (2*t + 0 + 0)*(-2 + 2 + t**2) as h*t**3 + f + n*t**2 + d*t and give n.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 19*t + 356. What is the remainder when 125 is divided by i(18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 1452?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 101. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.429 + -0.071. What is the nearest to -3 in o, 3, -3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-48)*-9*7\/(231\/(-176)). Which is the nearest to -0.1? (a) 26 (b) -3\/2 (c) 2\/9 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*5\/2)\/(149 + -148)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1007.2 - 1007.5. Put 3, t, 163, 0 in decreasing order.\nAnswer: 163, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 125. Suppose 164*p - 555 - 11432 = 1461. Let u = j + p. Calculate the remainder when u is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.65 + -25.35. Let b = w - -23. What is the third smallest value in 1\/2, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icwcwbiciiiwiiixiic. What is prob of sequence xw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6660.371 - -6672.3710022. Let x = -2 - 10. Let y = z + x. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - t + 15 + 13, -2*t + 2 = -a. Let h be (3\/(-2))\/(3\/a). Suppose -5*d = -5*c - h*d + 789, c - 155 = -d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/8 + 2*x**2. Suppose -4*n = -69 - 71. Let u(h) = 2*h - 35 + n. What is u(a(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (43\/(-86))\/(2\/(-8)). Solve 0 = 6*z - 5*z + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 4*p)*(0*p + p - 5*p)*(-2 - 2*p + 2)*(-9 + 18 - 12)*(-4 + 4 - 1).\nAnswer: -72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 3. Let x be z(0). Let t(k) = -k**3 + k**2 + k + 1. Let q be t(2). Put q, -6, x in descending order.\nAnswer: x, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 16, 36, 56, 76, 96?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 271 + 1 + -1. Suppose -12 = 3*h + 5*a, -74*h - 4 = -72*h + 3*a. What is the greatest common factor of h and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 2 = 0. Does 18 divide -2 - 1 - (f + -40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*-2*(-30)\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - 7. Let f = r - -164. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -252, -450, -628, -786, -924, -1042?\n\"Answer: 10*k**2 - 228*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*(w*w\/w**(-5))\/w))))\/w**6*(w**(-2\/3))**(-1\/6)*(w*w*(w\/(w*w**4\/w*w))\/w)\/w**0*w**(-2)\/(w\/(w**(-1\/11)*w)) assuming w is positive.\nAnswer: w**(-1681\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -560 (b) -0.2 (c) 9\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023016 to 6 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*4\/3. Suppose 0 = v - 5*k + k + 15, 3*v - k = -67. Suppose -634*h - 5117 + 4483 = 0. Put d, 5, h, v in descending order.\nAnswer: 5, h, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2)*14\/(-4). Let t(w) = -w**2 + 8*w + 1. Let l be t(n). Suppose -3*v - 30 = -l*v. Is v at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 6)*(-2*o - 2*o + 3*o) + 8 - 8 + 10*o)*(-2*o**3 + o**3 - o**3).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 18*u**2 - 41*u - 2. Calculate the remainder when n(-20) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576, 1861, 3872, 6621, 10120, 14381, 19416?\nAnswer: 25237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-1 - -3)\/((-21)\/((-2646)\/28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*d + 4442 = 1761*d + 30226 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 2*m. Suppose 0*h - 4*h - 4*i + 20 = 0, 0 = -4*h - 2*i + 12. Suppose 0 = q - h - 1. Calculate d(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 59, -5, -4, -2\/3, 6\/5, 708?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18973 or -21249?\nAnswer: -21249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367 - 367 - 15*n + 104*n + 6*n**2 to v + f*n**2 + y*n and give y.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45476979?\nAnswer: 3, 15158993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -19585*y**5\/2 - 19595*y**4\/2 + 293765*y**3\/2 + 176415*y**2\/2 - 528750*y - 270 = 0.\nAnswer: -3, -2\/3917, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014568.\nAnswer: 2, 31, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27086, -54171, -81256?\nAnswer: -108341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1642 divided by 5\nAnswer: -1642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -29. Let k = 140 + -143. Calculate the remainder when a is divided by -10 + 7 + (k + 14)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -48*y - 77. Determine g(5).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 5. Let l(v) = 12*v - 14. What is 11*a(m) + 4*l(m)?\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6064 divided by 21\nAnswer: 6064\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/8 - 687*k**2\/8 + 52*k + 69\/2.\nAnswer: -(k - 1)*(k + 138)*(5*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1693*m**3 + 136 - 1689*m**3 - 136.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (164 - 1\/1) + -2. Let i(a) = -a**2 - a + 3. Let v be i(0). Suppose 0 = -v*d - 50 + n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166 (base 7) to base 12.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 71?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -51, 0, 113, 2 in descending order.\nAnswer: 113, 3, 2, 0, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 3\/7, 4, -8, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**3 - 2*k - 1. Let m be i(-1). Let x = -19179.2 - -19179. What is the second smallest value in m, -5\/4, -0.4, x?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let d = 5 - o. Suppose -1 = 4*s - 25. Solve -2*x - s + d = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*g + 5 = 3*g, -4*g + 11 = 5*b. Find the third derivative of 5*h**b - 30*h**3 + 38*h**2 - 35*h**3 wrt h.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.548682401 rounded to four decimal places?\nAnswer: -1.5487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -620 and 264?\nAnswer: -163680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(5*b - 3*b - b) - 2*b + 4*b - 2 + 4 + (0*b + b + 0*b)*(0 + 5 + 3) to f + y*b and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -14547538?\nAnswer: 14547535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 15325, 4?\nAnswer: 15325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**5 + 60*w**4 + 33*w**3 - 78*w**2 - 36*w. Let d(u) = -u**5 - u**4 - u**3 + u**2. Let b(y) = 6*d(y) - f(y). Solve b(z) = 0.\nAnswer: -3, -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 59\/3. Sort 1, t, -2\/43 in increasing order.\nAnswer: -2\/43, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 1, r: 6, f: 2, a: 7, n: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -133\/5. Suppose 16\/5*m**2 + i + 6\/5*m**4 + 9\/5*m + 1\/5*m**5 + 14\/5*m**3 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*u - 46 = d, -2*u = 5*d - 72. Suppose 2*f = 2*y + d, -4*f = 3*y - 3*f + 13. Let n = 13 - y. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (189 - 358 - 470)*(-5*j - j + 4*j) to t + m*j and give m.\nAnswer: 1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:05 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 26. Give f(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebnnnbebbenen. Give prob of picking 1 n and 1 b.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**4 - 36*a**3 + 234*a**2 - 348*a + 153 = 0.\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + (-4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*f + 196. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)\/(-2)*-3. Let t be 20*(39\/12 + q). Solve -18 = -t*l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66696, 66706, 66716?\nAnswer: 66726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 14*a**2 - 12*a - 13. Let d be u(13). Suppose 4*j + 5*p + 12 = d, 2*j - 4*p + p - 16 = 0. Suppose 6 + 62 = j*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 1954888.\nAnswer: 13684216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (570 - 2158 - 1106)*(6 - 6 - 2*d)*(0 + 0 - 2) in the form q*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-18) + (-2)\/9. Let l = -14 + 18. Let t be (-22 - -16)\/((-6)\/l) - 1. Solve -r = -d + 4*n, -5*n + t = -0*d + 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1252*a**4 - 3*a**3 + 973301 wrt a?\nAnswer: -5008*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3 - 0. Suppose -4*k = -2*j + 17 + 11, -2*j + q*k = -23. Suppose 65 = j*u - 19. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.7*3.994\nAnswer: 18.7718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1501191753910 and 0.085.\nAnswer: -1501191753909.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17528 or -13164?\nAnswer: -13164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 135 = 15. Suppose 0 = 4*b - l - 34. Solve -5*s = b - 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**3 - 14*x**2 - 21*x?\nAnswer: 24*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) - (-8)\/3. Suppose 4*a - 9*a + l + 6 = 0, -5*a + 22 = u*l. Factor 191*r**a - 2*r**3 - 96*r**2 - 93*r**2.\nAnswer: -2*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315479847 to the power of 1\/2, to the nearest integer?\nAnswer: 17762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 + 5*b**2 - 5*b - 10. What is t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2088 and 131\/720?\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -806 - -802. Which is the second smallest value? (a) 0.0633 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -9*l**5\/4 - l**3\/6 + 15*l. Let n be d(1). Let p = n - -79. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -187. Suppose l + d*l = -2*c + 88, l + 5*c = 36. Calculate the highest common divisor of 112 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 49, 56, 63?\n\"Answer: 7*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188897 is divided by 417?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + 5*z + 4. Suppose -5*d + 2*m + 20 = 0, -2*d - 27 = -3*d + 5*m. Let k be i(d). Solve k*x = 1 + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 32\/10)*(-300)\/(-45). Calculate the highest common divisor of 32 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540 (base 6) to base 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.32957 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 3*n**3 + 2*n**3 + (2*n**2 + n - n)*(428 - 33*n - 428).\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**2 + 3*m + 13. Suppose 0*w + 5*w = 5*k + 5, -2*w - k = 7. Let t(p) = 5*p**2 - p - 4. Calculate w*l(h) - 7*t(h).\nAnswer: -3*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 309?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from mmeammmeemsmmsea.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3228 bigger than -0.2965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 68241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221708.\nAnswer: 2, 3, 61, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 13. Let g = c - -19. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 193*o**2. Let v(d) = 26*d. Give v(n(y)).\nAnswer: 5018*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 7*o**3 + o**3)*(2 + 0 - 3)*(-2*o - o + 4*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 41. What is the remainder when 16 is divided by 7*t\/(-21)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 1388 - 9928. Let n = w + 2630. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + i + 4. Let p(v) = 5*v**2 + 3. Let t(f) = 5*p(f) - 4*q(f). Let c(j) = j**2 + 4*j. Let z be c(-6). Let a = z - 7. Determine t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -236560 and 0.1.\nAnswer: -236559.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*w**5 + 8*w + 25 wrt w.\nAnswer: 5760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Suppose -2 = 2*m - 0*m. Let d be (-26)\/(-6) + m\/w. Solve 3*p + d = 5*b - 26, 4*b + 8 = -4*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 1. Let f = 12 - g. Let w = 3 - 3.1. Sort -2\/13, f, w in descending order.\nAnswer: w, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.1. Which is the nearest to 0.1? (a) u (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77)*2)))\/sqrt(7))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/(-1 + 0). Let j be (9\/12)\/(a\/(-12)). Sort 0, j, 2 in descending order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2) + (-6 - -5). Let q(a) = 2*a**h + a - a. Let n(s) = 113*s + 2 - 86*s - 2. Calculate q(n(i)).\nAnswer: 1458*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.121669?\nAnswer: -0.00121669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(693\/22))\/((-6)\/(-162))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89094855.\nAnswer: 3, 5, 53, 112069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19804637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.440512 - -0.43025. Round p to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -47.166\nAnswer: -235.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -23. Let g = -55.7 + j. Round g to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13417 >= 9523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 456732134 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 44\/3*v**3 + 13 + 0*v + 0*v**2 - 21\/4*v**4. What is the third derivative of j(l) wrt l?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -3.75222?\nAnswer: 2.626554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 9*g + 15. Suppose p + 37 = 5*t, -2*p - 3*p = -2*t + 24. Let k(b) = 2*b - 7. Let d be k(t). What is the units digit of s(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8199 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2387176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73103459 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t - 6 + 0*t**2 + 2*t + 3*t**2.\nAnswer: 3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -0.82. Let n = -0.21 + u. What is the closest to -2\/7 in n, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 478 - i**3 - 235 - 239. Let m(a) = 2*a**3 - 2 + 1 - a**3. Let r(y) = y**3 + 11*y**2 + 30*y - 4. Let d be r(-6). Determine d*m(q) - k(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 220 - 500 = 0. Let h = x + 674. Does 75 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -31\/3165?\nAnswer: -31\/3165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 59 + 81. Suppose 0 = z*o - 30 - 54. What is the hundreds digit of 830\/o - ((-20)\/12 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3217812079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88515 divided by 1967.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 169. Is 3\/2*7016\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5090*t**3 + 5068*t**3 + 5078*t**3 - 25397*t**3 + 5077*t**3 + 5081*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - (12352\/(-14))\/8. Suppose -2*j - 5*f + c = 30, 3*f - 162 = -5*j. What is the least common multiple of j and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, -161?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 889*d + 196674. What is c(479)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose 2*r = 10, -r + 5 = -s*d + 2*r. Suppose -28 = -3*f - 4. Solve -3*y = -2*a - f, 0 = 3*a - d*y + 8 + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 872459808 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(726) - (-2*sqrt(726) + sqrt(726)))*5)\/(sqrt(36)\/(sqrt(12)*-1) + 1*2*sqrt(3)))**2.\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 624.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 2, 3, 84003 in decreasing order.\nAnswer: 84003, 3, 2, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-44)\/(-12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 42. What is p(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 689773 (b) 2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 25*d - 28. Let s be p(24). Let h be 24\/(-18)*18\/s + -1. Solve -12 - 6 = -z - h*a, 5*z = a + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 - 8*k. Let v(j) be the first derivative of -j**3\/3 - j**2\/2 - 1. Suppose -165 + 248 - 243 = 32*l. Calculate l*v(m) + p(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 2*m**3 - 15\/2*m**2 + 2*m + 2 + 1\/4*m**4. Determine z, given that p(z) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from hnpppppnpjjjpjzjzjj.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.02 and 7.189 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 8)*(-76)\/6. Let q = 88 - v. Suppose 2*y - 7*y = 10. Is y greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by 64588.\nAnswer: -181\/64588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, p: 8, h: 7}. What is prob of sequence phh?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3\/13 - 386*n**2\/13 - 11256*n\/13 - 88200\/13 = 0.\nAnswer: -42, -25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 2342725782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 18*g**2 + 48*g - 7. Determine o(-7).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -18*x - 254 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1) + (-16 - (-5921)\/744)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*p - 1343728 + 1343832, 8*p = 5*f + 3*p + 135 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 91?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2. Let d(k) be the third derivative of 172*k**5\/5 - 923*k**2. Determine g(d(x)).\nAnswer: -8520192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13619 or 177064\/13?\nAnswer: 13619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 7327276?\nAnswer: 7327277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 - 98*v**2 - 100*v**2 - 104*v**2 - 101*v**2 + 8*v + 405*v**2 to u*v + o + w*v**2 and give o.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275) + -1 + 4 + sqrt(275) + sqrt(275) + -2)*5)**2.\nAnswer: 1000*sqrt(11) + 110025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*m + 149. What is the closest to -1\/3 in -2\/11, 0.2, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*b - 31*b - 30 + 49*b as z + m*b and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 367153 and 2572.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 731, 1106, 1445, 1736, 1967, 2126?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468 = 15*x + 508. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + e?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 8, 125, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/5 (b) -1 (c) -0.886 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1229068*k**3 + 2565085 wrt k?\nAnswer: 3687204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 450\/61, 2.8, 2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/(-11))\/(1 - (-540)\/(-537)) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -7. Let i = -6 - l. Suppose m + 4 + i = -3*g, -3*m = 15. Which is the nearest to g? (a) -2 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 - (0 - 6)\/(-3) and (-3*(-4 - -3))\/((-95)\/(-6840))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 3*s - 2. Suppose 9*l - 5*m = 13*l + 34, 35 = -5*l - 5*m. Let q(c) = c**2 - 1. Give l*q(t) + u(t).\nAnswer: t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - ((-7 - 22) + 22) - 18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 537*l**2 - 1867*l + 10079. Calculate f(-272).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133717*s - 201754?\nAnswer: 133717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(-7)\/((-196)\/(-63)). Let v(n) = 12*n + 128. What is the tens digit of v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -11, 0.57, -2\/3, -4 in descending order.\nAnswer: 0.57, -0.2, -2\/3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-20)*q*q**(-17))\/(q\/q**0)**25 assuming q is positive.\nAnswer: q**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3))\/((-22)\/2970*-30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -53*s + 10. Let l be z(-7). Suppose -5*t + 154 + 306 = -3*a, l = 4*t - 5*a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1883838.\nAnswer: -1\/627946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -44. Let z(v) = -q*v + 1 + 3*v - 3*v. Let f(b) = b**2 - 7*b - 11. Let o be f(8). Determine z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*1 - sqrt(1377))**2 + sqrt(1377) + -2 - ((4 + (sqrt(17) - (-1 + sqrt(17))))**2 + ((sqrt(136)*-2)\/sqrt(8))**2)) + 2.\nAnswer: -93 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.197782175 rounded to four dps?\nAnswer: 0.1978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1240519, 4962077, 11164673, 19848307, 31012979, 44658689, 60785437?\n\"Answer: 1240519*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(2\/(-2)). Let w(z) = -z**r + 0*z**2 + 4 + 0. Let y(m) = 1. Suppose -2*t = -6, -2*j + 4*t - t - 7 = 0. Calculate j*w(p) - 4*y(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**2 + 101. Let g(k) = 24*k. Calculate o(g(b)).\nAnswer: -4608*b**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 14. Let g = 17 - 10. Let k be l(g). What is the second derivative of -3*u**4 + u - 2*u + k*u - 2*u**4 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 4*z**2 - z**2 + 5*z**2 + 3*z - 3*z + (0*z + 0*z + z)*(0 + 0 + 2*z) + z + 2*z**2 - z - 66*z**2 + 458 + 4*z - 458.\nAnswer: -56*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.897382 rounded to two decimal places?\nAnswer: -57.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 7*p - 6*p - 73, 3*v + 405 = 5*p. Let u = -58 + p. Which is smaller: 21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 10 - 1 - 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -230*l - 236. Let v be p(-1). Let b(k) = k**3 + k**2 - 32*k - 17. Give b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -s - 187, -2*s + 0*s = 4*w - 144. Let z = w - 32. Suppose -2*g = -7*g - a + 3546, z*a - 5 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 21*h**2. Let d(c) = -6*c + 10. Let t(b) = 24*b - 42. Let q = -230 - -251. Let r(y) = q*d(y) + 5*t(y). Determine k(r(l)).\nAnswer: 756*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -40 - (1125 + -1123)) + 50.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 124*v - 127*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25236149\/10 - -2516826. Let b = y + 6796. What is the common denominator of b and 11\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 677 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883064247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.2500439 + 15.25. What is m rounded to six decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12308*v**4 - 51*v - 349?\nAnswer: 147696*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3180 - 3177. Suppose 0 = i - 4 + 8. What is the nearest to -1 in i, 4, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**4\/24 - 11*x**3\/6 - 17*x**2. Give v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -1\/10*c**5 - 7*c**2 + 0*c**3 - 7\/24*c**4 + 0 + 0*c. What is the second derivative of m(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38654869*q**3*v + 39*q**3 + 5*q**2 - 5017*q wrt v.\nAnswer: 38654869*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 2, o: 7, r: 1, g: 4}. What is prob of sequence ronr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3728, 7228, 10728, 14228, 17728, 21228?\nAnswer: 24728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.1 and -9637713.\nAnswer: -9637703.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*l**3 + 1011940*l**2 - 404764*l + 40476 = 0. What is l?\nAnswer: 1\/5, 10119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6277 - -43941\/7. Put f, 1\/4, 4, -783, -1\/7 in decreasing order.\nAnswer: 4, f, 1\/4, -1\/7, -783","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 46, -9, 0.4, -2\/3, -26, -0.3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*c - 108*c + 8811 = -82950. Solve c*v - 437*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w**3 + 80*w**3 - 150*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1714.\nAnswer: 3\/1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t + 118. Determine c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*i - 551, -8*x - 218 = -2*i - 10*x. Let t = i + -112. What is the smallest value in 2\/9, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -4*c**4\/3 - c**3\/6 - 7*c**2 + 45*c. What is the second derivative of t(h) wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from xkbsrxokb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 3*x + 4. Calculate i(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - 2. Let g = z - -19.0106. Round g to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1501*a**3 - 3*a**2 - 2*a + 1. Let s be q(-2). Suppose 0*b - 2*i - s = -3*b, -2*b = 5*i - 8007. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibbbbbbbibbbbbbbb. What is prob of picking 2 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14463 - 37?\nAnswer: 14426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -502, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 10. What is the remainder when 87 + (k\/2)\/4 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 50*q + 173 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 - 56*i**2 + i - 19. Let o be -3*35\/(-7) + -1. Give x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*1981.3.\nAnswer: 554.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -50. Which is the closest to -0.1? (a) -1\/4 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = -3*h, -3*h + 9 = i - 0*h. Suppose i*n = 6*n - 9. What is the lowest common multiple of n\/2*32\/6 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + m**3 - 1)*(0 + 0 + 1)*(0*m + 3*m - 2*m) - 44*m**4 - 57*m**4 + 24*m**4 in the form k + x*m + b*m**4 + y*m**2 + p*m**3 and give b.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 130. List the prime factors of w.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 + 3. Let y = 504 + -504.5. What is the second smallest value in 0, g, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 - 1295*m**4 + 79525*m**3 - 155185*m**2 + 76950*m = 0.\nAnswer: 0, 1, 95, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.5. Let n = c + -0.42. Round n to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 14 = -6. What is the units digit of -3 + m\/((-2)\/396)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 - 53 + 4*b - 146 - 319 to q*b + m and give m.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5829 and 11919.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 >= 2588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 27. Suppose q*m - 4 = 9*m. Solve -5*r + 3*v = -2*v + 5, -m*r - 5*v = -33 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = -3*a + 8*a, -y = -2*a - 5. Suppose 4*s = -0*s + 4. What is the derivative of -s + a*q - q - 2 - 1 wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.1385 * -0.3094\nAnswer: -2.2086519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -2432\/61?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggogggggggagggg. What is prob of picking 2 g and 1 a?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48063969*k**3 + 4125085.\nAnswer: -144191907*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283141*b**2 + 29 + 567319*b**2 - 284181*b**2.\nAnswer: -3*b**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 13*q**2 + q - 9. Let o be b(13). What is the third derivative of 61*y**3 - 5*y**2 - 8*y**2 + 4*y**o + 35*y**2 - 3*y**4 wrt y?\nAnswer: 24*y + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from ycxzxxzctmxzmz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-36) + 6\/(270\/289925)?\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5259 + 2*s - 21026 + 5254 + 5255 + 4*s**2 + 5253 - s**3. Suppose 4*r + 2*l - 20 = 0, 5*r - 4*l = -0*r + 12. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099066 is divided by 1099039.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 + 4*l + 8. Let v(d) = 13*d**2 + 7*d + 15. Calculate -11*c(p) + 6*v(p).\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j**2 + 3*j - 18. Suppose -28*x - 3 = -27*x. Let z(u) = -19*u**2 + 4*u - 19. Let w(l) = x*z(l) + 4*y(l). What is the derivative of w(h) wrt h?\nAnswer: -46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 7945507*p + 7945507*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/((-1582)\/(-10509)))\/((-3)\/12*1)?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5066772059?\nAnswer: 263, 19265293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -918 or -4627?\nAnswer: -918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71774, -71776, -71778, -71780, -71782?\n\"Answer: -2*o - 71772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054\/(-12)*(-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -197, -449, -803, -1259, -1817, -2477?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -121123?\nAnswer: -121105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - (2 + 0)) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*h + 96 = -104*h - 113*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32317\/613 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.9731 or 28?\nAnswer: 4.9731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11\/396*-9\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q + 113550 = 103056 for q.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035262 to seven dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1267784\/(-339585))\/(4\/(-30))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 21. Let c be f(16). What is the smallest value in -2, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -24, 57, -5, -2, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - 3*l + 5. Let v be u(4). Let b = 11 + v. Suppose -n = -b*o + 10 + 5, 0 = 3*o - 2*n - 10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.796 - -0.296. What is the closest to 0 in h, -3, 5, 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*a - 4*a - 185, 62 = 2*w - 4*a. Let j = 41 - w. Solve j = -2*h - 2*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w - 2*w)*(3*w + 3*w - 4*w)*(-w + 3 - 3).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4564.006 + 6.\nAnswer: 4570.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*s + 30 - 222 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 4. Suppose z + 5*f = -25, 0 = -3*z + f + j*f + 5. Let l(x) = 2*x**2 + 6*x. Determine l(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1322, -13, -5, -15, -2\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -12 + 10 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 45. Solve 5*n - r - 3 = 2, -2*n + 3*r = -f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2 = 122*d - 120*d, 10*u - 16 = 4*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 - k**4\/12 + k**3\/2 - k**2. Let d be w(0). Suppose d = -2*n + 5. Solve 0*r + 4*r = 5*p + n, p + 5 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179?\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 83 + 60*r**2)*(6*r**2 + 0*r**2 - r + 4*r).\nAnswer: 360*r**4 + 180*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285 - -290. Suppose i*b - 2*c = 863, 5*c - 835 = -7*b + 2*b. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -344234332?\nAnswer: 344240024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 42. Let q be (30\/4)\/(45\/(-54)*(-9)\/(-15)). What is n(q)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c + 9. Let v = -48 + 51. Let d(i) = -7*i + 4. Determine v*u(l) - 7*d(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/25 - 11005929\/(-55). Let w = -57307 + u. Round w to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729767633.\nAnswer: 7, 443, 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 263?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose n = -6*l + 2*l + 196. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*h**2 - 952?\nAnswer: -280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.8 and 0.01?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -257.9997668 + 258. What is c rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.93483 millilitres to litres.\nAnswer: 0.04893483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 + -3424?\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((-200)\/48).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = 0, 5*v - 2*p = v - 18. Let i be (-95)\/(-5) + v + -1. Calculate the highest common factor of 49 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -539, 2, 4, 3, 6 in ascending order.\nAnswer: -539, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -870 - -931. Let d(n) = -n**2 + n - 1. Let h(j) = j**2 - 5*j - 3. Let s(b) = -2*d(b) - h(b). What is the remainder when u is divided by s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.032.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -6. Suppose -2 - c = -2*z. Which is bigger: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**3 + 2. Let h(t) be the third derivative of t**6\/24 - t**3\/3 + 17*t**2. Calculate 7*h(p) + 6*o(p).\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.65 + -0.15. Let z = 6 - x. What is the closest to 0 in 1, 9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 - 76 = -5*d. Let u = d + 16. Let t be -3 + 11\/((-11)\/u). Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409788176 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -30. Let s(h) = -46*h + 2359. What is the remainder when o is divided by s(51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 15835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 + 6*a - 6. Let c be p(3). What is the highest common factor of 288 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2343*l + 2400*l + 2070 = -96 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i + i + i**3 - 4 + 5*i**2 + i. Suppose 0 = -0*o + 5*o + 5*x, 0 = 2*o + 4*x - 2. Let z be o + 1 + 2 - 5. What is g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 11*i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -41\/5 (c) 0.3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998617?\nAnswer: 1998617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1089*y + 59920. Determine p(55).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 - -162. Let b = 12 + -12. Suppose b = -4*o + c*k + 367, 3*o + k + 289 = 6*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/350 + v**6\/50 - v**5\/25 + 8*v**2. Let a(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1*y)**(-47))**(-33))**(39\/5) assuming y is positive.\nAnswer: y**(181467\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Suppose 2*p = -0*y - 3*y + 11, 5*p - 22 = -2*y. Suppose -8 = -p*u + l, 2*l + l - 10 = -5*u. Solve -2*f - 6 = i, -n + 0*f - u = -f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (14 + 2 - 18) + (4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 6. Let d be h(-11). Let u(z) = -30*z - 33. What is the units digit of u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 165150060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = 8. Let y = -3 - w. Let o(a) = -234*a + 1417. Let j be o(6). Put -0.5, j, y in increasing order.\nAnswer: -0.5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-427)\/(-28))\/(((-195)\/(-15))\/52).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6 - 14 = 0. Is 5 a factor of 1*(s - -1 - -24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22644\/2220)\/((-68)\/(-460))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 22)\/(52\/247)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 17*z - 10. Let l(m) = -m**2 - 2*m + 5. What is -i(p) + 6*l(p)?\nAnswer: -2*p**2 + 5*p + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -6*v + 2*v. Let w be (6\/5)\/(18\/v). Suppose 5*m - 66 = 14. Is m <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(242) - 4*(sqrt(242) - (sqrt(242) + 1)**2) - sqrt(242)) + 4.\nAnswer: 44*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*x**2 - 23112 + 23112 + (-2*x + x - 2*x)*(x + 4*x - 8*x) in the form n*x + a*x**2 + b and give a.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.9 - -8.9. Let b = r + -1. Let a = 28 + b. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15213, 15205, 15193, 15177, 15157, 15133?\n\"Answer: -2*l**2 - 2*l + 15217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 10*z**2 + 6*z**2 - 3*z**2 + 2*z**2 - z**2 + (0*z + z + 0*z)*(3 - 2*z - 3) - 5075*z**2 - 3 + 4 + 4954*z**2.\nAnswer: -131*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 7*h + 7*h)*(-4*h + 3*h - 7*h)*(-4 - 2*h + 4)*(-2 + 20 - 5).\nAnswer: 1040*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/941290 and -117\/110740.\nAnswer: 1882580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whwh when four letters picked without replacement from {h: 5, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -27*z**2 - z. Let s(d) = -8*d + 35*d - 11*d - 9*d. Calculate r(s(b)).\nAnswer: -1323*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 + 17536?\nAnswer: 17465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*5 + sqrt(21) - (sqrt(3024)*-2 - sqrt(21)))\/((sqrt(42)\/sqrt(3))\/sqrt(2)*4).\nAnswer: 23*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 < 2527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23130220 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -286, -278, -266, -250?\n\"Answer: 2*q**2 + 2*q - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*7729.\nAnswer: 618320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582012 to the power of 1\/2, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and 13\/91 - 671\/(-56).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42029 is divided by 1379.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.6947974 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*k - 405 + 585. Solve k + 95 = 20*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 227679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15 + (0 - -10 - (-336)\/(-35)). Determine a so that -7\/5*a**4 - 22\/5*a**2 - 18\/5*a**3 - g - 1\/5*a**5 - 13\/5*a = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -379, 0, 1\/2, -5, -0.1 in decreasing order.\nAnswer: 1\/2, 0, -0.1, -5, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 97aa32 (base 16) to base 2\nAnswer: 100101111010101000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 1. Let m = -130 + 132. Let d(u) = 13 + 3*u**m + u - 4 - 11. Give -d(n) + 2*k(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -997 divided by 116019\nAnswer: -997\/116019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1635577668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2. Let u(x) = -4*x + 5. Determine -6*k(y) + 2*u(y).\nAnswer: -8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8127886.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3334 (base 14) in base 4?\nAnswer: -21231023002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277639520.\nAnswer: 2, 5, 181, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 11)\/20*3. Suppose 11*l - 16 - 6 = 0. What is the nearest to 2\/5 in -1\/8, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*u**2 - 114*u**2 + 194*u**2 in the form d*u + j + b*u**2 and give b.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = 5*g + z, 928 = 4*g - 28*z + 32*z. What is the greatest common factor of 248 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*b + 8*b. Suppose r - 12 = -b. Suppose -2*d = -d - r. Solve 3 = -2*i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + sqrt(180))**2*2 + ((sqrt(5) - sqrt(35)\/(sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7)*2 + sqrt(7))) + sqrt(80) + 0)**2.\nAnswer: 48*sqrt(5) + 76438\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -530, -1173, -2052, -3161?\nAnswer: -4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2560\/(-31744)*(-4)\/(-5)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 11*c + 283. What are the prime factors of h(-55)?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*n - 175*n + 261*n**2 to r*n + z + p*n**2 and give p.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -100 from 1262962077.\nAnswer: 1262962177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27) + ((-108)\/(-135) - (-668)\/90). Solve 10 = -5*k + q, j*q = -3*k + 5*q - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/4 - 1200623*t\/4 - 300156 = 0.\nAnswer: -1, 1200624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than -22\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(-50)\/(-1). Suppose 2*p - q = -21. Solve -s + o - 1 = -4, 3*o = -p*s - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - ((3 - (10 - -1)) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/11)\/m))\/(m**(7\/5)\/m))**(-2\/5) assuming m is positive.\nAnswer: m**(-156\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqyqqyyyqkiiyyi. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 3*u - 2. Let k(n) = -2*n**3 + 9*n**2 + 5*n - 3. Let w(b) = -4*k(b) + 7*l(b). Let s be w(8). Solve -2*p + s = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/16)\/(11\/220)*265. Calculate the greatest common divisor of n and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.249999866 + -0.25. What is m rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/11 + 408*t**4\/11 - 114*t**3 - 2468*t**2\/11 + 3312*t\/11 = 0.\nAnswer: -207, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1320 + -6?\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13018 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(28) - (sqrt(28) + 1*-2*sqrt(28))) + sqrt(28))*-5 + 4 + -2)*3.\nAnswer: 6 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 22 = 7*z + 5*c, 2*c - 10 = -2*z. Differentiate 22*k**2 + 39*k**2 - z*k**4 + 304 - 39*k**2 with respect to k.\nAnswer: -12*k**3 + 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1520\/200)\/19)\/((-3)\/285)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 6 + 4 - 8445\/1275 and (30\/160)\/(2\/56)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -2559*q**2\/2 - 3184*q + 3422. What is the first derivative of y(f) wrt f?\nAnswer: -2559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -264, 1\/8, -157, -4 in descending order.\nAnswer: 1\/8, -4, -157, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017364 rounded to 6 decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:50 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-6*-3*sqrt(9)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408057, 407903, 407739, 407559, 407357, 407127, 406863?\nAnswer: 406559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 - 6*d**2 + 2. Let m = -63 + 68. Let z be y(m). Suppose 4*i + z = 13*i. Which is greater: i or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.0522175 to two decimal places.\nAnswer: -83.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 5. Solve 2*n - d*n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 134*v**2\/3 + 1496*v\/3 + 3904\/3.\nAnswer: (v + 4)*(v + 8)*(v + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56480 (base 10) to base 14.\nAnswer: -16824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -750?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5128, -5148, -5170, -5194, -5220?\nAnswer: -5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 189 + 203 = 0. Let s be 3 + -4 + 3 + 2. Suppose r - n = 4, 10 + 2 = s*n. Solve r*h = j*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 + 3*j**4 - 2*j**4 + (3*j**4 - 7*j**4 + 3*j**4)*(4 - 1 - 1) in the form c*j + y + z*j**3 + v*j**4 + b*j**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003022 rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -369*n**4 + 2*n**3 - 237*n**2 + 2*n. Let u(x) = x**3 + 2*x**2 + x. Let d(h) = -t(h) + 2*u(h). What is the third derivative of d(m) wrt m?\nAnswer: 8856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/125 (c) -1.11 (d) 2\/75 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 0*r - r**2)*(0 - 2*r + 0) + (1 + r - 1)*(-3 + 3 + r**2) - 2*r**3 + 3*r**3 + 0*r**3)*(-30 + 30 + 25*r).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 1306 + 2170. Suppose -47 = i - q. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30.9 (b) 1\/5 (c) 7 (d) -3 (e) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 17*a + 25 - 11 + 0. What is the tens digit of k(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljemlsllsledjd. Give prob of picking 1 e, 1 j, and 2 l.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800709 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**2 - 3*p**2 - 3*p**2 + (p + 3*p - 3*p)*(p + 0 + 0) + 3*p**2 + p**2 - 3*p**2 + 2*p**2 - p**2 + 0*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 22923516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*w - 0*w, -4*p + 320 = 5*w. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -92.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3875\/472 - 64\/59. Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111863277 and 2853.\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 9. Let r be l(-5). Let x = r + 34. Suppose 0 = 2*g - 4*m - 8, -2*g - x*m + 0*m = -26. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249664.9 rounded to the nearest one hundred?\nAnswer: -249700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - -1 - (-10 - -8). Let t(c) = 5*c - 10. What is the tens digit of t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 349*v + 2099. Let q be r(-6). Which is the smallest value? (a) 0.04 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14462.869594 - -1?\nAnswer: 14463.869594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-33)\/(v*v**0)**33 assuming v is positive.\nAnswer: v**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36219 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 14*q**2 - 291*q + 95. List the prime factors of w(43).\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*p = 11, 0 = 3*r - 16*p + 19*p + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 - (-1 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 9. Let y be g(5). Let x(s) = -s. Let b be x(-4). Suppose -5*n + p + 1 = -17, -p = -4*n + 15. Solve 4 = y*k, -k + 24 = b*r + n*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 8*l - 4*i + 5644 = 0, 0 = 3*l + 4*i - 4233. List the prime factors of l.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/4*(-108)\/66\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21168193 to three dps.\nAnswer: -0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95689?\nAnswer: 11, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 152*m**2 - 6781*m + 1046735. Determine y(151).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcqccvccqcqq. Give prob of picking 2 v and 2 q.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 63221?\nAnswer: -63216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 5, i: 2, y: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2481657.\nAnswer: 3, 599, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693 not equal to 14694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 886 = 3*t. Let m = t + -236. What is the greatest common factor of m and 300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcfzzcz. Give prob of picking 1 c and 1 z.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/163981 and -21\/5.\nAnswer: 819905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:38 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w + 128. Let n be x(-24). Let g = n - 374. Suppose r = 5*l + 28, 14 + 1 = -3*l. Solve -r = -5*j + 2*k - g, 5*j + 4*k = 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 0. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 26*o**2 + 13*o + 71*o**2 + 90*o**2.\nAnswer: 135*o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2312*s - 38438 = 1765*s + 79986 + 138427 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - t**2 + 13*t - 9. Let z(s) = -3*s**3 - s**2 + 20*s - 14. Let j(d) = 8*f(d) - 5*z(d). Let g = 66231 - 66229. Determine j(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*v - 9 = 0, -2*y - 3 = -0*y + v. Suppose y = -16*z + 24*z - 56. Solve 0 = 4*o - 3 + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77622.2 and -0.035.\nAnswer: 2716.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -45774, 3, -0.3, 0.3 in increasing order.\nAnswer: -45774, -0.3, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1422)\/2133)\/(3\/(-5))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 606 (base 12) to base 8\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -32, -3, -101, 8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6) - 65\/(-10))*-1. Let o be (-38)\/(-12) + 1\/p. Suppose -3*m - 4*j = -153, m + o*j - 51 = -0*j. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72884a (base 11) to base 6\nAnswer: 41012501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 119 (b) 4 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 768427738 a multiple of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:48 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/(-93)*(-1)\/(-4127). Let m = 408533\/247620 + p. Find the common denominator of m and ((-2)\/(-8))\/(3\/(-22)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + b + 8 = 0, 4*d - 12*b - 20 = -9*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**2 + 3*t + 4. Let p(l) = -138*l**2 + 3 - 2 + 129*l**2 + 2*l + 2. What is 2*b(s) - 3*p(s)?\nAnswer: 11*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 30. Let c be (-6)\/(-15) + (-18149994)\/q. Round c to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 3*i, 4*i - 8 = -n - 3*n. Let k(s) be the first derivative of 8 - 6*s - 10*s**2 + 8*s**n + s. What is the derivative of k(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -207, -303, -397, -489, -579, -667?\n\"Answer: w**2 - 101*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177027 and 6.\nAnswer: 354054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3, -26.8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5*c - 15. Let u(b) = -b**2 - 4*b + 12. Let g(q) = -4*r(q) - 5*u(q). Let t = 7 - -7. Let l(v) = 3*v - 11*v + t*v. Determine l(g(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*2*(-3)\/6. Let k(x) = 21*x + 2. What are the prime factors of k(l)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3210083 and 260277.\nAnswer: 9630249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 9*j - 5. Let l(h) = -4*h**2 + 4*h + 3. Let x(d) = 5*l(d) + 3*t(d). Find the second derivative of x(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -1332?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10993953.\nAnswer: 3, 3664651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16 + 18 - 16) + -2 - -84) + 4 + -11?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12627060*v**4 - v**3 - 47376*v**2 - 4*v - 12 wrt v?\nAnswer: -303049440*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 + 4*c + 1. Let l be r(-5). Find the second derivative of 6*b**2 - 4*b**5 + b - l*b**2 wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let x = -0.4 - -0.2. Let o = 0.1 + x. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 10 + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/170*(-66)\/(-9)*-1. Which is the biggest value? (a) g (b) -0.1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + m**2 + 2*m**2. Suppose 14 = 2*l - j, -4*l + 142*j = 144*j - 4. Let y(u) = -7*u**2. Give l*y(k) + 3*b(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, 0.16, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 16 - 43 - 10*i + 15.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3109 - 3112.9. Let y = 5.19 - 1.07. Let n = y + v. Which is the smallest value? (a) n (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3 + 16 + 31*f**2 - 24*f**2 - 14*f + 0. Let a be j(3). Solve -x = 9*x + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3371 + 6747 + 2*n**3 - 3376.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271414.\nAnswer: 2, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -476.\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1000110 (base 3) to base 15\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2022?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53728, -53380, -53042, -52720, -52420, -52148, -51910, -51712?\n\"Answer: -l**3 + l**2 + 352*l - 54080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -369, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.22*-25.616.\nAnswer: -236.17952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - n + 420 = 0, 4*z - 3*n - 71 = 489. Let x = -143 + z. Put -4, 0.3, x in increasing order.\nAnswer: -4, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -68*y**2 - 1706*y - 122. Calculate l(-25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = -50*a + 39759. Which is bigger: 458 or a?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*u - 1326, -8*u + 12*u + 2*w = -1052. Let i = -165 - u. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -28?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(-1\/48))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let t be -11 + -7 + -2 + 2 + -2. Let c be (t\/(-12))\/(-5) + 26\/6. Solve -3*h - w = c*y, 3*y = -4 + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6910993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 756. Suppose 0 = 2*h + 3*h, 0*r - 19 = -r + h. Calculate the remainder when c is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2 - 5 + 2*j. Suppose 7 = 8*k + 15. Let c(l) = l - 1. Let n = 60 + -58. Determine k*d(r) + n*c(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**2*a*a)**(-3\/8)\/(a**(2\/7)\/a*a\/a**(-10)))**(-28) assuming a is positive.\nAnswer: a**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*f**2 + 12 - 12 + (2 - 2*f - 2)*(-2*f + 2*f - 2*f) - 217*f + 217*f - 132*f**2 - 1054*f**2.\nAnswer: -1161*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/30 + 2\/(-12) - -4. Solve r*n - 17*n = -75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*p*r**2*y*z + 248882*p*r**2*z - p*r*y*z + 2*p*r*y + r**2*z + 37202104*r*z - 5*r wrt r.\nAnswer: 690*p*y*z + 497764*p*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -908151264 by 972.\nAnswer: -934312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -8*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 5*g + 5*l + 20, 4 = -2*l. Find the third derivative of 96*k**3 - 96*k**3 + g*k**4 + 2*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 26*f**2 - 2*f + 77. Let b = 129 - 135. Let t(q) = -24*q**2 + 2*q - 77. Let a(k) = b*x(k) - 5*t(k). Find the first derivative of a(r) wrt r.\nAnswer: -72*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3599032 and -29\/16?\nAnswer: 7198064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312822 and 163806?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3261, -3262, -3263, -3264?\nAnswer: -3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 772299 divided by 257433?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5369*c**3 + 2*c - 15377 wrt c.\nAnswer: 16107*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20*d**2 - 14*d + 14. Let j(i) = 7*i**2 + 5*i - 5. Let x(w) = -14*j(w) - 5*z(w). Let s(g) = g**2. Determine s(x(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 47 + 115 = 0. Let t = l + -22. What is the greatest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:04 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47*-2\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (-13 + 18 + (-1 - -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 46 = -229. Suppose 44 = -x*j + 36*j. Solve -7*c + 2*c - 17 = -j*u, -2*u = -c - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/504 + i**6\/720 + i**5\/40 + i**4\/4 - i. Let h(q) be the third derivative of a(q). Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 56. Let o = -10 + v. Solve -3*r = 5*f - 8, 0 = -4*f + 3*f + o*r + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 0*a. Factor 3*l**2 + 10*l**3 - 9*l - 3*l**4 + a*l**2 - 5*l**3 + 4*l**4.\nAnswer: l*(l - 1)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -5*j + 83, 2*h - j - 12 - 10 = 1 - 42 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 4*j + 3. Give u(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 133 + (-38 - (138 + -26))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*b**2 + 5*b**3 + 70*b**2 + 110*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -249\/5 <= -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**0\/k*k*k)\/k)**(-27)\/((((k**(1\/5)\/k)\/k*k)\/k)\/(k*k\/k**4*k*k))*(k**(2\/13)\/(k*k**5))**9 assuming k is positive.\nAnswer: k**(-6813\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -60, -58, -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.012 and -0.559.\nAnswer: -0.006708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-15331.\nAnswer: 76655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.5. Let d = a + 0.49. Let x = -0.19 - d. Round x to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 + 2*u - 11. Let f be y(-5). What is the greatest common factor of 36 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 + 6 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d - 13. Let b be c(4). Find the third derivative of b*t**4 - 37*t**5 - 35*t**4 + 13*t**5 - 8*t**2 wrt t.\nAnswer: -1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p**2 - 98494*p + 2736 = 0 for p.\nAnswer: -1368, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218823660 divided by -1647059?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:57 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 95 = -20*x. Let v(j) = -j**3 + 3*j - 2. Calculate v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 246, 371?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(153) + 0)**2 + 5 + 6*(((sqrt(153) - ((1*sqrt(153) - sqrt(153)) + sqrt(153))*4)**2 - sqrt(153)) + sqrt(153)).\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12411 is divided by 1240.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 592 = 124. Suppose 4*a - 248 + 32 = 0. Calculate the highest common factor of f and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*w - 24 - 11*w - 91)*(-4*w - 4 + 4) in the form t*w**2 + y + d*w and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18526 = -5*j + 2*c, 3*j + 6*c - 4*c + 11106 = 0. Let u = -10969063 + 241400853\/22. Let k = u + j. Calculate the common denominator of -31\/10 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**1)\/z))\/z**(-7)*(z*z**(-1\/2))**(1\/15))**(3\/8) assuming z is positive.\nAnswer: z**(211\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42 - 3*z - 42 - 1 - 2*z + 1 + (1 + 2 - 1)*(-1 - z + 1) + 1 - 1 - 2*z + 951*z + 111*z + 85*z.\nAnswer: 1138*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbx when three letters picked without replacement from {r: 2, x: 1, b: 1, t: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1426126904.\nAnswer: -1426126899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -374 - -374. Suppose -8 = -5*r + 3*g, 3*r - g - 11 + 7 = a. Solve 3*u = -3*x, x - r = -2*x - 2*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 16*z**2 - 2. Let x be g(16). Let k(b) = -b**3 - b**2 - b - 1. Determine k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1171 - 0.1171621. Round x to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2042*u**2 - 4084*u**2 + 2042*u**2 + 1014*u**3 + (3 + u**2 - 3)*(-4 + 4 - 5*u) to x*u**2 + b*u + o*u**3 + a and give o.\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + 7*b**2 - 4*b - 6. Let l(d) = -d**3 + d**2 - 2. Calculate 3*l(r) - z(r).\nAnswer: r**3 - 4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 80 = 5*b, -5*b = 5*m - 280 - 80. Let z be (-12)\/(-6) - -1 - (56 + 1). Let k = 82 + z. What is the highest common factor of k and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 19517, -169?\nAnswer: 19517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225160 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1174 - -1244. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -210\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 14\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c4 (base 13) in base 16?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-81)\/(-18))\/(1\/2). Factor 2*d**3 + 24 + 36*d + 2*d**2 + x*d**2 + d**3 + 7*d**2.\nAnswer: 3*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009025 - 157*p**2 + 1009025 + 21*p**2.\nAnswer: -136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15306 (base 7) in base 3?\nAnswer: -12212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.398 - -0.132. Let n = d - -0.47. Let x = n - 0.9. Which is the closest to -5? (a) 2 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5672870734?\nAnswer: 2, 73, 1277, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 5168 = -259*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 - k + 28. Let n be d(-5). Is (-286)\/(-104) + 2\/n + 217 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 4*w. Suppose -3*d = 4*g + 1, -d - g = 4*g + 15. Suppose 3*k - 1 = y, d*y + k - 9 = 2*k. What is the highest common factor of w and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3 - 1\/3*b**3 + 0*b + 1\/2*b**2. Find the second derivative of g(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35600401, -71200799, -106801199, -142401601, -178002005?\n\"Answer: -b**2 - 35600395*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 88 (b) -0.4 (c) -2\/11 (d) -1 (e) 0.29 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i**2 + 4*i**2)*(-94607 + 3335*i + 94607) - i**3 - i**3 + i**3.\nAnswer: 6669*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**5 + 0 + 0*z**4 - 37\/70*z**7 + 0*z**6 - 29\/6*z**3 - z - 16*z**2. Differentiate v(i) wrt i.\nAnswer: -444*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 - 4835*i**4 + 936190*i**3 + 4792640*i**2 + 1959840*i - 7683840 = 0.\nAnswer: -4, -2, 1, 276, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43379963 and 0.04?\nAnswer: -1735198.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/23? (a) 247 (b) 6 (c) -0.1 (d) -1\/2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 22828.\nAnswer: 205452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1 + (-3)\/(-2)). Let m = -324070 + 324072. Solve -v + 0 = m*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 4 (c) -1\/3 (d) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1004332406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 51, 62, 63, 54?\n\"Answer: -5*r**2 + 36*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 + -385. Solve 12*j - 18 = o*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/3))\/l**(-1\/4))\/((l**(-6)*l)\/((l\/l**(-2))\/l))*(l\/l**(-3)*l**(1\/10))\/((l*l**0)\/(l\/(l**(-1\/6)\/l))) assuming l is positive.\nAnswer: l**(851\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 - 34*r + 86. Suppose x = 3, 2*z + 2*z + x - 103 = 0. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/(-8) + 9\/(-12). Let k be 8*(-4)\/b + -2. Let i(w) = 5*w**2 + 4*w**2 - w**2 - 3*w - 5*w**2. Calculate i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -53b3?\nAnswer: 53c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/25 + (-37)\/(-5). Let z(n) = -n. Let f = 12 + -16. Let p(d) = -3*d. Let q(k) = f*p(k) + j*z(k). Let x(r) = r. Give q(x(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -45*p - 4. Let m(y) = 2*y + 1. Calculate -h(c) - 6*m(c).\nAnswer: 33*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 270*o**2 - 20795*o + 378. Determine m(77).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120470392 divided by -49252.\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4957 in -15, -0.3, -1\/15, 4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1806681\/1982 + 44\/991. Suppose -495 - 2172 = 3*x. Let w = g - x. Find the common denominator of -1\/3 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhnnhhhnnhhhnnhnnnh. Give prob of picking 2 h.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 18*o - 4. Let f(t) = 5*t + 1. Let v(m) = 4*f(m) + h(m). Let w be v(0). Solve -3 - 9 = g + 3*d, -d - 4 = w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13659620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 435607, 0, -4\/5 in descending order.\nAnswer: 435607, 0, -0.1, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 18. Solve -t + 35 = -o*a + 4*t, t = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(400)\/sqrt(5).\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 1}. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 2*o + (-3 - 1 + 3)*(-2*o - 2*o - o) + (-3 + 2 + 0)*(-5*o + 3*o + 0*o))*(4*o - 2*o + o + (23*o - 6*o - o)*(2 - 1 + 1)).\nAnswer: 315*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -494*v**2 + 17*v + 1739. Let k(o) = -124*o**2 + 4*o + 435. Let i(s) = 2*a(s) - 9*k(s). Find the second derivative of i(p) wrt p.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 - 29*g**3 - 49*g**3 + 99*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 18. Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 7*t - 41 + 13*t**2 + 4*t**3 + 12*t**2.\nAnswer: -t**3 + 25*t**2 - 7*t - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.737 + -5\nAnswer: -5.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/64 - 1\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 3\/20*i**5 + 0 + 0*i**4 - 1\/2*i**3 + 6*i + 0*i**2. Factor q(u).\nAnswer: 3*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-138)*(-4 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -79. Let z = -72 + s. Let l be (-2)\/(-6)*z\/(-4). Let c(q) = q**3 + 6*q**2 + 4*q - 7. Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**2 + 5*b - 13. Let c(p) = -p**2 + p + 1. Let x(j) = -3*c(j) - y(j). Let m be x(-7). Let z = -107 - m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 75?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 8:45 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 2. Let q(o) = 5*o - 2. Let p(d) = -d**2 + 8*d + 6. Let a be p(9). Let r(y) = -y**2 + y. Let l be r(-1). What is a*i(h) + l*q(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71481091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46825?\nAnswer: 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/3 + 52*v**2\/3 + 493*v\/3 - 182 = 0.\nAnswer: -39, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89c5a + -2?\nAnswer: 89c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 - 193*h + 275. Calculate m(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 23*i**2 + 2*i**3 - 4*i - 20*i**2 - 12*i**2 + 5*i in the form b*i**2 + r*i**3 + g*i + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-78))\/(132\/(-1287))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k - 5. Let f be l(2). Solve -3*q = f*p + 13 - 3, -3*q - 5 = 4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/7 + 1\/21. Let m = 3 - 3. Let r = 0.3 - m. Which is the smallest value? (a) -2 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**3 - 3*y**3)*(-101 - 142 - 23).\nAnswer: -266*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**4 + 8 + 29*c - 2*c**4 - 107*c**5 + 49*c**5 - 3 wrt c.\nAnswer: -1160*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35085, -1\/5, 18, 0.4, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68944, 69459, 69974?\n\"Answer: 515*j + 68429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 7*x - 15. Let b(s) = s**2 - 19*s - 45. Let g be b(21). Let j be (2*(g + (-33)\/(-6)))\/1. Solve 0*q = -3*q - x*d + 15, 3*d - j = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*v + 54 - 65, 0 = -4*u + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4132, -8083, -12034?\nAnswer: -15985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163385788 divided by -4.\nAnswer: 40846447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-132)\/(-9). Let o be p*-21*(-2)\/15. Suppose 2*c = -o - 198. Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951936361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:05 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 - 53*c**2 + 15*c**2 + 8*c**2 + 10*c**2 + 10*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let a(c) = -39092*c**2. What is r(a(u))?\nAnswer: -78184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754633857.\nAnswer: 3, 2027, 124097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Let j be m(-1). Let k(t) = -12*t - 3. Is 7 a factor of k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhv when three letters picked without replacement from vavavahaaccca.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642215391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4782\nAnswer: -1\/2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4628\/(-1157))\/(-356*(-3)\/(-6)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8692.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 54*y**4 - 2*y**2 - 60*y**4 + 168*y**4 - 52*y**4 - 3*y**3 in the form m*y + h*y**3 + r*y**2 + b + z*y**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2808586 and 2808586.\nAnswer: 2808586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*t**2 + 129*t**2 - 396*t**2.\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.3306 to one dp.\nAnswer: -65.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1845*f - 53386. Determine r(29).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831165122.\nAnswer: 2, 17, 23, 1062871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 172, 229, 314, 433?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 95.6. What is the closest to 4 in -1, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 165642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1270 - 3803\/8890. What is the nearest to 1\/3 in u, -1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1076831, -1076762, -1076681, -1076582, -1076459?\n\"Answer: s**3 + 62*s - 1076894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(-4)\/88*(-26)\/(-4) and -155*(-125)\/(-1300) - 4\/(-26).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d5d + 170?\nAnswer: 80cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/21 + 10*r**4\/21 + 892*r**3\/21 + 2596*r**2\/21 + 2566*r\/21 + 850\/21 = 0. What is r?\nAnswer: -17, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 16) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5502150, 11004302, 16506454, 22008606, 27510758?\nAnswer: 33012910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40621, -163445, -368161, -654769?\n\"Answer: -40946*l**2 + 14*l + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 25*y - 15 + 0 = -3*q, 0 = y - 6*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/24 and 41\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 616 (b) 83 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-27)*(-38 + -1). Let k be (14 + b)\/((-1)\/(-46)). Solve q = d, -6 = -5*q - 3*d - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 + 2 = 3*c, -15 = -3*u + 2*c. Let g be 30*((-8)\/5)\/(-2). Put g, -4, u in increasing order.\nAnswer: -4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnnsnsf. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 times -262366?\nAnswer: 30172090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 + 2*w - 6. Give i(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 75 = -3*o - 5*r, -799*o + 804*o = -6*r + 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*l**3 + 670*l**2 - 2535*l - 3150.\nAnswer: 5*(l + 1)*(l + 15)*(11*l - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 5286?\nAnswer: -26430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2197000 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12 - -6) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 184 - 1?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1209*c**3*m**3*v**3 + c**3*m**2*v**2 + 7*c**3*v**6 + c**2*m**3 - 2075*c*m**3*v**2 - 2*m**3*v**2 wrt v?\nAnswer: 7254*c**3*m**3 + 840*c**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23768*j**4 - j - 16621?\nAnswer: -285216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-13 + -1) - 22\/36. Let z = 3 + -5. Let b be 0 + 6 + 2\/z. What is the nearest to 0 in -4, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 33*m - 49. What is t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*g = -45, -3*g - 26 = -2*v + g. Let l be 4\/(((-4)\/v)\/((-20)\/50)). Solve -l*y + 5 = -7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 387 = -7*r. Let d = -41 - r. Solve d*x - 13 + 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/4 + 1470\/(-1176). Solve -5*d - 2*a + 15 = 0, n = 3*d - 48*a + 43*a + 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**2 + 16*q + 211.\nAnswer: 6*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 27*g - 9. Let l(s) = 65*s - 24. Let k(c) = 41*c - 15. Let j(f) = -8*k(f) + 5*l(f). Give j(m(z)).\nAnswer: -81*z + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.7715 to the nearest integer.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = d - 6284, -3*a + a - 2*d - 6272 = 0. What is a rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 9*o - 7. Let g be k(-6). What is the greatest common factor of g and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1287 - -1300. Which is greater: 174\/13 or m?\nAnswer: 174\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.6 + -17.439. Let x = -0.261 + i. Which is the closest to x? (a) -1 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 149214, 298429, 447644, 596859, 746074?\n\"Answer: 149215*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13237 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1713 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {x: 2, n: 2, j: 3, i: 1, p: 2, m: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 11*z + 19. Suppose 0 = -5*p + 3*j + 23, 2*p - 5*j = 9 + 4. Let k be u(p). Let y(b) = -b**3 - 10*b**2 - 9*b - 7. Determine y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 - 13*q - 66. Let n be k(-6). Solve n*y - 3*y - 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*t + 3, 3*t + 2*q - 3 = -0. Let k(h) be the first derivative of 3*h - 1\/2*h**2 - t. Calculate k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 2*q**3 - 2*q**3 + 3*q**3 + 3*q**3 - 5*q**3 + (q - q + 2*q)*(q**2 - 5*q**2 + q**2) - q - 4*q**3 + q as c*q + p*q**2 + n*q**3 + a and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by 4\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -215477 (base 12) to base 3\nAnswer: -222210212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0598 (b) -44 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 i when four letters picked without replacement from {s: 7, i: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3652\/(-4980)*1419\/(-121).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43077, 43106, 43151, 43212, 43289?\n\"Answer: 8*o**2 + 5*o + 43064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-837)\/(-30) + -5 - (-3)\/30 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44214 (base 5) to base 15.\nAnswer: d8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214359944.\nAnswer: 2, 276794993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0027 - 3.0927. What is u rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 21*h**2 + 41*h + 40. What is z(-19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*p**2 + 12 - 280*p**2 + 246 - 289*p**2.\nAnswer: p**2 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 greater than 232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 101 - 19) + 25.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 555432.8l?\nAnswer: 555432800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316930767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 = -5*i - 10*x + 13*x, 797 = 5*i - 4*x. Solve i = 2*g + 161 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-18) + 31\/6. Suppose -2*i = 4*p - 92, -3*i + 2*i - a*p + 43 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*s + s - 4*i, 0 = -2*s - 3*i - 15. Let z be (2\/(-3))\/(2\/(-15)). Suppose 0 = 2*k + 3*a + 38, k + 12 = z*a - 20. Is k bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100636*x**2 + 71 - 3*x**3 - 127 - 1100636*x**2 + 56.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006597 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - (2 + (-1 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*s + 105, 3*s - w = 5 + 58. Let n be (-2)\/((s\/(-162))\/7). Suppose 2*g - n = -2*g. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76.3 - 69. Let s = 6.1 + -13.8. Let z = s + m. Which is the closest to z? (a) -2\/9 (b) 2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:55 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.001 - 0.199. Which is the biggest value? (a) o (b) 2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6*m + 2*g + 781, 4*g = -3*m + 751. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*-0.089.\nAnswer: 8.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10101010001101000010 (base 2) to base 11\nAnswer: 436867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 5 - 5 - 5 + 4. Let q(i) be the second derivative of -i**4\/3 + i**3\/2 - 2*i**2 + 1626*i. Determine 3*c(d) - q(d).\nAnswer: 4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (676\/882)\/((-22)\/(-264)*-16) and -61\/490?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2807852 - -2?\nAnswer: -2807850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*f + 0)*(-1 + 10 + 12)*(0 + f + 0).\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mof. Give prob of sequence om.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37016.1 + -37016. Let g = -0.2 - 0. Let j = 0 - g. Which is the third smallest value? (a) 3 (b) z (c) -0.5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4217?\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50091636 to the nearest integer?\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 + -269. Solve 2*h = -8, 3*g - 4*g = -z*h - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/20 + 7\/5. Suppose 6*b - 13 = -1. Sort b, v, -5.\nAnswer: -5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 + 96. List the prime factors of (0 + 713\/2)*c.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 23*i - 25. Suppose -i*v - 185 = -5*f, 7*f + v - 43 = 6*f. Suppose -9 = g - f. Calculate the greatest common factor of 93 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)\/(c*c**(3\/17)) assuming c is positive.\nAnswer: c**(-292\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522 (base 10) in base 16?\nAnswer: 1d62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {n: 3, e: 1, j: 3, i: 5, k: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l - 2*l + 9*l)*(0 + l + 1 + l)*(-5 + 5 + 2*l).\nAnswer: -8*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*l, -m - 69*l + 66*l - 14 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.0325 + -14.0145. Let i = a + 0.047. Let p = 87.2 + i. What is the nearest to 0.1 in p, -9, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.12586*-4\nAnswer: 68.50344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from fdffddddkk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87954 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243.7623 - 0.5377. Let w = -244 - t. What is the nearest to 2 in w, -2\/9, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47652?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loolooollolll. Give prob of sequence ll.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*w - n, w + 10*n + 4 = 12*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138530*j + 138187*j - 15435 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 33 - 55 + 28 + 3*b - 6*b. Determine u(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 421*i**2 - 8017 + 8017. Let j(m) = -7*m**2. Determine c(j(d)).\nAnswer: 20629*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 9. What is f(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-3)*9\/6. Let s(q) = q**3 - 5*q**2 + 6*q - 3. Calculate the remainder when s(4) is divided by 6\/i*2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - -2) + 241 + -247.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 431791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**10\/1680 - v**6\/72 + 2*v**3\/3 + 3*v. Let p(j) be the second derivative of c(j). Find the third derivative of p(i) wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p - 3. Calculate i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 + 3 + -1). Let d(n) be the first derivative of -1\/2*n**2 + b - n + 1\/4*n**4 + 1\/3*n**3. Let d(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 3*v**3 + 8*v**2 + 103*v**2 + 70 - 38 + 558*v.\nAnswer: 3*v*(v + 6)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 135\/54*(36\/10 + -2). Is 2 - (8 - 4)\/h - -2776 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-21))\/((-35)\/4). Let d = s + -325\/49. Calculate the common denominator of (-28)\/8 + (-8)\/20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32002321 (base 5) in base 3?\nAnswer: 111111211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11918634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 591615446 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 13*s**2 + 14*s + 9. Let k(f) = -f**3 - 12*f**2 + 13*f + 7. Let m(u) = 4*k(u) - 3*t(u). What is m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/37)\/y*y)\/(y\/(y\/(y\/y**(6\/19)))))**(1\/3) assuming y is positive.\nAnswer: y**(-173\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 2. Let h(z) = 15*z + 8. Suppose -11*s + 9*s = 2. Let m be h(s). Let t(n) = n - 1. Determine m*t(i) + 3*p(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.08, 4, 119, 0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 742 + -740. What is the third derivative of -117*c - c**6 - 113*c + 230*c + 11*c**3 - 84*c**3 + 155*c**h wrt c?\nAnswer: -120*c**3 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*w - 255*w - 345 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + 0*o**4 + 0 - 5 - o**2 as s*o**2 + u + m*o + z*o**3 + c*o**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {r: 8, b: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -20. Suppose -s - 9 = 5*d - 2*s, -2*s = n*d + 10. Calculate the remainder when d - -41*1\/1 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca8 (base 13) to base 10.\nAnswer: -6560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 1108*i\/5.\nAnswer: -4*i*(i + 277)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-18)\/(-4617))\/(((-56)\/(-21))\/(-8)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(891)*2*-3*6 - ((0 + sqrt(891) + -1)**2 + ((sqrt(891) + sqrt(891)*-1*-2)**2 - sqrt(891)) + 2).\nAnswer: -8908 + 1647*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 2*c**2 + 9*c - 12. Let g be x(2). Let s(v) = -6*v - 3 - 3*v + g*v - 2*v. Give s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 16 = 13*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/19*t**2 - 2\/19*t**3 + 0 + 0*t + 2\/19*t**4.\nAnswer: 2*t**2*(t - 2)*(t + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*l + 2*b**2*t**3 - 2*b**2*t - 31*b*l*t**3 - 16*b*l*t**2 - 469*b*l wrt t?\nAnswer: 12*b**2*t - 186*b*l*t - 32*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 3 = -13*z. Let a(t) = -3 + 0 + z. Let w(y) = -y - 2. Determine 3*a(f) - 2*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69125850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:40 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3\/3 - p**2 - 10*p\/3 + 8 = 0.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/20*(4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9 - 2*x**2 - 15 + 567*x**3 - 10 wrt x.\nAnswer: 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.1, -18, 0.07.\nAnswer: -18, -0.9, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1909420 and 3436956.\nAnswer: 17184780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13667*s - 2774456. Give b(203).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 7*u**2 + 3*u - 3. Let h(m) = m**3 + m**2. Let i(c) = b(c) - 5*h(c). Let w = 1662 + -1660. Give i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, -2, -663, -5 in ascending order.\nAnswer: -663, -5, -2, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Which is greater: s or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20 = -7*w. Suppose -w*g**5 - 14*g**2 - 5*g + 10*g**3 + 22*g**2 - 8*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 58. Let l be 16\/(-8) - (-96)\/o. Suppose 2*v = 2*q + 8, 3 = 3*q - 0*q + 2*v. Does q = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 2018.\nAnswer: 155386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l + b + 4, -23 = 4*l + 5*b. Let q = 1 + 1. Put -1, q, l in increasing order.\nAnswer: l, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35541*c**2*p**2 - c**2*p - c**2 - 2*c*p**2 + 2*c*p + 9516*c - p**2 - p wrt p?\nAnswer: 71082*c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as -1\/34081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1210 + -92 + -101)\/9?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 3. Let f(c) = -c**2 + 2*c + 3. Let n be f(4). What is the common denominator of q(0) and 1\/(n\/66*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + (-355)\/(-25))*(-50)\/(-30)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/((32\/10)\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 14\/13, 0, -195, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4453, -4431, -4385, -4315, -4221?\n\"Answer: 12*f**2 - 14*f - 4451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*12\/150 - 704\/40.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633.00793 rounded to one dp?\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:25 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**25*a*a**(21\/5)*((a*a**(-16)\/a)\/a)**26)**(22\/9) assuming a is positive.\nAnswer: a**(-15026\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -5a1952?\nAnswer: 5a1962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 65, 128, 205, 296?\n\"Answer: 7*h**2 + 28*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Suppose -2*g = 4*m - 10, 0*m - 3*m = -g - 15. Let t(b) = -4 + 2*b + m. Calculate t(x(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*i)*(-4 + 1 + 2)*(-119317*i + 62369*i + 59224*i) in the form s*i**2 + b*i + o and give s.\nAnswer: -4552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) 2\/65 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 26. Let u(a) = -a**2 - a + 1. Let y(h) = -6*h + 6. Let l(v) = s*y(v) + 6*u(v). Let o(c) = 2*c**2. Give l(o(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:02 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147370 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 18531*z - 92658. What is k(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a. Let g be x(-3). Let u be (-18)\/g*(-5)\/(-2). Suppose -u*y - 4*o = -11, -y + 2*o - 7 = -2*o. Which is smaller: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625540*l = 625485*l - 1375 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38315 divided by -17.\nAnswer: 38315\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 4821553*f**2\/5 + 5811845743728*f\/5 - 5811840922176\/5.\nAnswer: (f - 2410776)**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let f = -2175 + 2182. Which is the fourth biggest value? (a) n (b) -1 (c) 0.3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66851 + 3*s + 66851.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q + 390 + 1518 = -48*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498222 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8935 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 100096.9 millilitres?\nAnswer: 100.0969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -664*x. Let r(d) = 663*d. Calculate r(k(i)).\nAnswer: -440232*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 2 + 2*n - 5*n.\nAnswer: -10*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1 - (-4 - -19 - 20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, b: 4, w: 4}. What is prob of sequence aabw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 3, k: 2, i: 2}. Give prob of sequence tktl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -11*v**4\/24 - v**3\/3 - 2*v**2. Let p be z(-2). Solve -3*b = b + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qid when three letters picked without replacement from {d: 2, i: 4, p: 2, q: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k - 5*k**2)*(-820 + 820 + 4*k**2 - k**3 + 0*k**3 + 0*k**3 - k**3 + (0*k**2 + k**2 - 2*k**2)*(2*k + 0*k - k)).\nAnswer: 15*k**5 - 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 161?\nAnswer: 27\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -535 - -44?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuuuuiiiiiuiuiuuuiu. What is prob of picking 3 u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.87 - 4.8. Let o = z - 0.1. Which is the nearest to 0? (a) o (b) 3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 595097.\nAnswer: 4760776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t**2 + 30 - 3*t**2 + 2*t**2 + 7*t. Calculate the remainder when 79 is divided by j(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*l + 54 = -1616*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -40110?\nAnswer: 40110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 8833 = 2*i - 13*i. What are the prime factors of i?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 21. Factor -4*n**3 - 20*n**2 + s*n**2 + 3*n**3 + 0*n**3.\nAnswer: -n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18205955 by -5.\nAnswer: -3641191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 5*b - 2. Let h be c(4). Suppose h*x - 9 = 5*x. Let q = 11 - x. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300124004 (base 5) in base 12?\nAnswer: -488baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 49*i = -1221. Suppose 33512 = i*k - 17803. What are the prime factors of k?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2534 - -2813. Solve -4*m + q = 255 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/74 and 65\/74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142411.\nAnswer: 101, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 - 11*a + 6. Let y(t) = 4*t**2 - 4*t + 2. Give 3*v(u) - 8*y(u).\nAnswer: 4*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 945*v + 9507. What is d(-10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2200, -432 in decreasing order.\nAnswer: 2200, -3, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab0c (base 16) to base 13.\nAnswer: -16c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/44 and -15\/17576.\nAnswer: 193336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3 - 20*m**2 + 1832*m - 3749. Differentiate n(q) wrt q.\nAnswer: 6*q - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147650530 and 1784?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568795.9 litres to millilitres.\nAnswer: 568795900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 948*p**3 - 3138 + 3138 + (0 - 2*p + 0)*(1 - 1 - p**2) to r*p + t*p**3 + g*p**2 + u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let g be ((-2)\/4 - 1)*u. Let j be (3\/(-6))\/((-1)\/g). Solve -2*s + 20 = j*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80442.26 hours to nanoseconds.\nAnswer: 289592136000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123111 (base 4) to base 5.\nAnswer: -304231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 15. Let z(i) = -2*i. Let a be z(3). Let h be q(a). Suppose -2*j + 43 = 5*m, -4*j - h*m + 79 = -0*j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224*o = 593*o + 6310 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 17 + 91)*(1 - 1 + 2)*(-3*n + 2*n + 2*n + (-4 + 4 + 2)*(-2 + 2 + 2*n) + n - 4*n + 4*n - n + 0 + 0).\nAnswer: 2020*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -31 + -17 + 25 - (5 - 3 - 40)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 - 121. Which is the second smallest value? (a) 2\/3 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*c - 72, 5*g - 26 - 10 = -2*c. Suppose 0 = 3*d - c - 30. Suppose 5*t = 4*a - 85, 3*t - 1 = -d. Calculate the highest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k - 67. Let v be x(-4). Let w(t) = -t + 1. Let j(a) = -a. What is v*w(n) + 4*j(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -112 + 27 - 4*v + 23 + 28. Let q(x) = -13*x - 103. Let m(w) = 3*q(w) - 8*z(w). What is the units digit of m(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5214 divided by -10.\nAnswer: -2607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -96080 * -179\nAnswer: 17198320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 190, 11\/3, -3, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 59 = -83 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 0.1 (c) 1\/3 (d) -38\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-371)\/(-28))\/((-2)\/(-8)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/3)\/q*q)**(2\/25))**(-1\/2)*((q**(-1\/4)*q)**14)**(-48\/5) assuming q is positive.\nAnswer: q**(-7564\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -377, -566, -755?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 647 (b) 56 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -101 + 56 - 98?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from fvjvfjjjvfjfffvvjffj.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -7*o**3\/6 - 46*o + 21. Let g(k) be the first derivative of m(k). Let l(b) = -12*b. Give l(g(i)).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - 2*x**3 + 6*x**3 + (2*x**2 + 0*x**2 - 4*x**2)*(-x - 24*x + 6*x) + 0*x**3 - x**3 + 2*x**3.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10320 + 102?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*a**3 + 102*a**3 - 192*a**3 - 152*a**3.\nAnswer: -323*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 25. Let r(o) = -o**3 - 3*o**2 + 2*o - 6. Let z be r(-5). Suppose -6 - z = -n*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 64, 219, 504, 961, 1632, 2559?\n\"Answer: 7*f**3 + 2*f**2 + 12*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -222, -419, -668, -963, -1298?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/11)*q**25 assuming q is positive.\nAnswer: q**(287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12172 and 1496.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/3 + 280*g**3\/3 - 822*g**2 - 5*g + 357. Factor v(y).\nAnswer: -4*(y - 137)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-1 - (3 + 39)). Let b be 3 - 5 - (2 + 149). Let y = x - b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let p(h) be the second derivative of h**6\/180 - h**4\/2 + 4*h. Let a(g) be the third derivative of p(g). What is a(b(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -37. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 3.411, 192, 0.2 in decreasing order.\nAnswer: 192, 3.411, 0.2, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10629*n - 632 = -10787*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6032 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*m**3 - 802*m**3 + 1532*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213 and 1136?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2 + -9.2. Let q(t) = 2*t**2 + 56*t - 8. Let o be q(-28). Sort f, 2, o, 5 in ascending order.\nAnswer: o, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h + 0*a = -115*h - 2*a + 2 - 2, -4*a = 4*h + 292 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1521*j**2 - 33461*j - 40. Determine a(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6893.\nAnswer: 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)\/i)\/i)**11*(i**(-1)\/i)**(-2\/21)*(i**(-6)*i\/(i*i\/(i*i*i*i**(-1\/4)\/i)))\/(i**(-4)\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-8467\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15056\/657 + 206\/9. Let g = q + 188\/1533. Which is the closest to -2\/7? (a) g (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12240 (base 5) in base 13?\nAnswer: -579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -g - 892 + 873, g - 1 = f for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3517458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:44 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -354900 divided by 325\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178432650 = 2811*a - 2666*a. Round a to the nearest 10000.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(44 - 85 + 248)*(-4*q**4 + 3*q**4 + 3*q**4).\nAnswer: -828*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13124 divided by 13124?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7294932 by 1215822.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/219 and -22\/27.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/8)\/s*s*s*s*s*s\/(s*s\/(s\/(s*s*s**3\/s)))*s**(-4\/3)\/(s*s*s**13*s) assuming s is positive.\nAnswer: s**(-437\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260855.\nAnswer: 5, 452171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqd when three letters picked without replacement from {t: 1, d: 5, r: 1, o: 3, q: 1, i: 2}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147409 = -15*p - 22114. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -27*p + 31. Let h(l) = 9*l - 10. Let i(r) = -14*h(r) - 4*o(r). What is the units digit of i(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -6. Let q = -450196\/49 + 9187. Let u = 1\/147 + q. Sort u, -3, w in decreasing order.\nAnswer: u, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 5, 0.4, 0.3, -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6*j**4 + 0*j**4 - 4*j**4 - 4*j**4 + 2*j**3 to the form a*j**3 + y*j + f*j**2 + l + u*j**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19447 is divided by 221.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.006 - 53.006. Let m = -114 - q. Let t = 61.00176 + m. What is t rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.575 - -21.7. Let a = 48.375 + -43.4. Let x = i + a. What is x rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:36 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*a**4 - 12943*a**3 + 131864*a**2 + 3945*a - 122850 = 0. Calculate a.\nAnswer: -819, -15\/16, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**3 - 12*y**3 + 64*y + 23*y**3 as r*y**2 + j + c*y + k*y**3 and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10*d + 56 = 147, -2*d - 99 = i - 0*d for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 11, 10 in ascending order.\nAnswer: 0, 5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0415, 1\/4, -5, 6 in ascending order.\nAnswer: -5, -0.0415, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 318, 639, 960, 1281?\n\"Answer: 321*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*v**3 - 9 + 15 - 6.\nAnswer: 522*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1 - 6 + 7 - 7*k - 1. Suppose -2*b + 1 = -1. Let x be 146\/30 - 14\/(-105). Let f(v) = v. Determine b*h(u) + x*f(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 14*g)*(1 - 2 + 3).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 92866, 0.007, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2956325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-10 - -11)) + 5 + 8 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 32. Let j(w) = -4*w - 31. Give -3*d(p) - 4*j(p).\nAnswer: p + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 5 (c) 0.21 (d) 22\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22312*q + 22995*q - 14343 = 0 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11131 + 2023?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5381474*y**5 + 54*y**2 + 78805387*y - 8 wrt y.\nAnswer: -107629480*y**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-3*3*1)\/((sqrt(1584)*-2 - sqrt(1584)) + (sqrt(275) - sqrt(11))*-3))**2.\nAnswer: 117\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -18*j + 35\/2 + 1\/2*j**2 = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.70625, 0.001, 6.\nAnswer: 0.001, 2.70625, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10906918291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 49. Let p be 4*t\/(-16) - (-58)\/14. Suppose 6\/7*h**2 + 2\/7*h**4 - 8\/7 - 8\/7*h**3 + p*h = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/98, 8, -5, -0.5?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892776 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1198.68 - -1198.239958. Let u = -0.44 - s. What is u rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -41. Let l = 37 + i. What is the greatest common factor of 108 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:25 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1319)\/(-2)*(0 + 2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 + 416*u**4 - 82766*u**3 + 2052676*u**2 + 331032*u - 8217360 = 0. What is u?\nAnswer: -339, -2, 2, 30, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, -21\/103, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -90, 4 in ascending order.\nAnswer: -90, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 + 1035 = -3*g + 3*j + 480, -3*g = 5*j - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7579 divided by 52\nAnswer: -583\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 8 (b) 2\/9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:32 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1063*x - 12. Let l(r) = -10626*r - 126. Calculate -6*l(w) + 63*o(w).\nAnswer: -3213*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46882127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(126) + sqrt(126)*2*4)\/(-1*sqrt(112)))\/((-5*(sqrt(66) - 2*sqrt(66)) + sqrt(66))\/((sqrt(77)*-1)\/sqrt(7) + sqrt(11) - sqrt(11))).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 304*x**3 + 2*x**2 - x - 2. Let h(u) = -216*u**3 + 5*u**2 - 3*u + 825*u**3 + 1 - 5. Let i(y) = -4*h(y) + 9*q(y). Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8348 - -8347.990989. Let q = 0.009 + t. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*v + 7*v. Let p(d) = -2*d**3 - 6*d**2 - d + 4. Is p(v) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10430275313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992003907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.324 and -0.1?\nAnswer: 0.6324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 61*y**4\/8 - 307*y**3\/6 - 30*y**2. Differentiate p(v) wrt v.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5*2\/25)\/(6\/15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - n = 28. Let l be 126*((-14)\/n + 5). Calculate the greatest common divisor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**7*d\/d**(3\/7))\/(d**(1\/13)\/(d\/((d\/d**(-12))\/d))))**(-14\/11))**(-50) assuming d is positive.\nAnswer: d**(-150200\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 12*g**2 + 9*g + 26. Suppose -5*z - 64 = -3*y, -63 = 5*z - 2*y - 2. Let l be d(z). Is l bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 538200522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Let v(d) = -d + 191. What is v(q(r))?\nAnswer: -2*r**2 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836651193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12180 and 13020.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (77\/(-7) - -19) + 3*-2. Put -30, o, 4 in decreasing order.\nAnswer: 4, o, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 4. Give i(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -66 * 927551\nAnswer: -61218366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 1292. Suppose -n - 5*l + 95 = 0, 0 = -4*n - 2*l - 15 + x. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-39)\/(t**1)**(-39) assuming t is positive.\nAnswer: t**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4712, -0.3, -7\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1174.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24619, 49251, 73897, 98557?\n\"Answer: 7*w**2 + 24611*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2) + -26 + 33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*g - 102. Let t be (g\/28 - 1)\/(1\/14). Suppose 2*q = t*q - 22. Solve 0*x - q = -3*x + s, -4*x + 5*s = -33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 13 - 39 + 8*t + 2*t to u + s*t and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/297048 and 89\/24?\nAnswer: 297048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, 7608, -4 in increasing order.\nAnswer: -4, -3, 0, 3, 7608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649819479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432745029 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -81. Suppose -x - a = -3*r, -5*x - 62 = -3*r - x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m = 17*m - 126 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (201\/12)\/((-31)\/(-2604))?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 1}. Give prob of sequence sww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540023441 - -5?\nAnswer: -540023432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 103438, 206890, 310348, 413812, 517282?\n\"Answer: 3*b**2 + 103443*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439735143.\nAnswer: 7, 11, 331, 56489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06261 less than -31?\nAnswer: -31.06261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172598446 to the power of 1\/2, to the nearest integer?\nAnswer: 13138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 1256*v**2 - 4*v + 2*v - 147 - 622*v**2 - 643*v**2 to u*v**2 + t + q*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33208.9 - -3.\nAnswer: 33211.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*(-44)\/3. Let p be a*(-1)\/(-2)*1. Let m = p + 14. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 60 = -2*x. Let c(s) = 3*s - 1. Let y(o) = 13*o - 4. Let p(r) = x*c(r) + 6*y(r). What is the units digit of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 134. Suppose 2*y + 4 = 0, -f - 5*y + 0*y - 6 = 0. Sort 14, v, f, 0 in descending order.\nAnswer: 14, f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 8*k**2 - 3*k + 5. Let c be y(7). Let o = c - -113. Which is smaller: o or 49?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)\/t**(4\/7))\/(t*t**3)**(2\/9) assuming t is positive.\nAnswer: t**(286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 12 = 7*b. Suppose z - x = -3*x + 11, 3*z = b*x - 3. Find the second derivative of z*o**5 + 6*o**5 + 3*o + 2*o + o**5 wrt o.\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4727*h - 4726. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -67) + -8824 + 8751?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 10:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, 1, -8 in ascending order.\nAnswer: -8, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1*sqrt(252))**2*2 - 3*(1*sqrt(252) + sqrt(252))**2)*1)*-6.\nAnswer: 15132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153))**2 + sqrt(153) + 2*(sqrt(17) + -3) + (-2*sqrt(17)*-1 - (sqrt(272) + -4 - sqrt(17))).\nAnswer: 4*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 262*f**3\/3 - 32*f**2 - 2*f - 120. What is the second derivative of r(a) wrt a?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 8*j**2 - 10*j + 8. Let u = -4 + 12. Let p(g) = g**2 + g - 1. Calculate u*p(v) + i(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from lveeeal?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8008325 - 1230072207.1991675. Let k = n - -1230072242.99999935. Let s = -25 + k. Round s to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30153\/(-23)*80\/1520.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.909 - 0.091. Let i = 2.8 + z. What is the second smallest value in 17, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 12, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*a - 0*a + 3996, 5*a = b - 10001. Let u be (-6)\/(-4) - a\/32. Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Suppose -220 - 365 = -3*h. Find the common denominator of -27\/8 and h\/20*d\/(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -966 + 967 - 5*k + 6*k. Suppose -17 + 1 = 4*j + p, 2*j + p = -6. Let f(t) = -t - 4. Let b be f(j). Let i(v) = 8*v + 5. Determine b*i(z) - 6*u(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 2*c - 3*c. Let o(z) be the third derivative of -8*z**2 + 0*z**4 + 1\/60*z**5 + 0*z + 0 + 0*z**3. What is o(b(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 25*g**4\/4 - 44*g**3\/3 + 69. What is the third derivative of u(z) wrt z?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -27*g**3 - 3*g**2 - 5*g. Let v(y) = -y**3 + y**2 + 2*y - 1. Calculate m(j) + 3*v(j).\nAnswer: -30*j**3 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - h - 10 = -i, -2*i = 5*h + 26. Let u be (24\/10)\/i*-5. Suppose 0 = -4*f - 4, 808 = u*b - f - 3*f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 150c1e7 + -2?\nAnswer: 150c1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:38 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 809 + -1495. Let n = -29545 + 60495\/2. Let q = a + n. Find the common denominator of -23\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = -55. What is the smallest common multiple of 22 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:50 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7789.368ms?\nAnswer: 7789368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m*(m*m**(-2\/3)*m*m)\/m*m*m**9\/m*m*m\/(m*m**3) assuming m is positive.\nAnswer: m**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 34. Let x be g(-12). Solve -2 + x = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 50. Does 7 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x**3 + 3*x**3 - 13*x**3 + (x**3 - x**3 - 2*x**3)*(-1 + 1 + 2) + 2*x**3 + 4*x**2 - 4*x**2 + (3*x**3 - 4*x**3 + 0*x**3)*(2 - 2 - 1).\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose -5*u - 2*v + 10 = 0, 4*v - i = -23. Suppose -34 = -2*j + u*m, -2*j - m = j - 65. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495869 + 2488933\/5. Let x = -1905 + k. Let i = -151\/114 - -3\/19. Calculate the common denominator of i and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 14 = 3*a, -3*r - 46 = -4*a. Put r, 43, 5 in increasing order.\nAnswer: r, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 341051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 828.8522 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3406 + -3325. Calculate the remainder when h is divided by 1*(-8)\/2*-7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36100501, 36100502, 36100503, 36100504, 36100505, 36100506?\n\"Answer: d + 36100500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42034283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.21955 + -24\nAnswer: -24.21955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2. Let t(n) = 10*n**3 - 34*n**2 - 4*n + 28. Let p(g) = 6*d(g) - t(g). Find i such that p(i) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 10. What is the greatest common divisor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525.1 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 3*o)*(1 - 5 + 2)*(-3*o**3 - 4*o**3 + 0*o**3 + 3*o**3 + 2*o**3 - 4*o**3 + (-o**3 + 8*o - 8*o)*(2 - 3 + 3)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/12 - z**2\/4 - 3*z\/4 + 9. Determine c, given that d(c) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 - 488*h**2 + 708*h + 30240 = 0 for h.\nAnswer: -7, 9, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*v - 160, 57 + 1 = n + 4*v. Let a = -43 + 63. Calculate the greatest common divisor of n and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + -65 + 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(8)\/sqrt(4)*4)**2 + (sqrt(18)*1)\/sqrt(9)) + ((sqrt(84)\/(sqrt(28)\/sqrt(4)))\/(sqrt(6) + sqrt(216) + (1*sqrt(216) - sqrt(216)) + sqrt(216)))**2.\nAnswer: -27038\/169 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.006976 nanoseconds to microseconds.\nAnswer: 0.008006976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 2171*j - 53 - 2118*j to the form k + x*j and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.728 - 32.728. Which is the biggest value? (a) z (b) -2\/23 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/8 + 533221*p\/8 + 32785527\/4 = 0.\nAnswer: -533098, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.776287 micrometers?\nAnswer: 0.009776287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 491, 567, 645, 725, 807, 891, 977?\n\"Answer: t**2 + 73*t + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -5, -7 in descending order.\nAnswer: 0, -0.3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-1)\/(-4)*16\/(88\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3528\/1176)\/((-1)\/(-6))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/4)*s)**(-2\/7) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 72358816.\nAnswer: 506511712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191268936, 191268937, 191268938?\nAnswer: 191268939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (7 + -11)*-3*(-3)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 7:43 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 597, 2, 3.\nAnswer: 2, 3, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*z**3 - 2 + 26*z + 23*z - 45*z - 202*z**3 wrt z.\nAnswer: -1128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9734.961ml to litres.\nAnswer: 9.734961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1628 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -0.4?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 + 233. Let x(s) = s**2 + s - 5. Calculate x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*1*-4)\/((sqrt(96) + (sqrt(96)*-2 - sqrt(96)))\/sqrt(12) - sqrt(8)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*d + 22, -3*d + 0 - 33 = -y. Let a = 5 - d. What is the remainder when a is divided by ((-45)\/(-20))\/(6\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 3*r**2 - 2*r + 2*r**2. Suppose -4 = d - 4*y - 12, 5*d + 2*y + 4 = 0. Calculate p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-11 + -3 - -18). Solve -4*f - 17 = 5*x, 5*x - r = 2*f - 41 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950 + -938. Solve 5*a - 17 = -3*d, -l*d + 1 = -3*a - 11*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 108921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + 1 - (2 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47716311 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -395 + 347 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 140 - p + 131 - 277. What is w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503438 is divided by 692.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9148 = 2220. Let w = y - 1681. Suppose -k - 8*k = -w. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200 + -211202?\nAnswer: -201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 146, 595, 1314, 2279, 3466?\n\"Answer: -4*u**3 + 159*u**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*s = -9*z - 15 - 22 + 22, 0 = 5*s + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - (18 + -11))\/(-4). Factor 0*y**2 + d + 0*y - 3\/2*y**3.\nAnswer: -3*y**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12352*n + 720 = -12432*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -11b98?\nAnswer: 11b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1255760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000088912 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 - 33. Is 15 a factor of (-5)\/15 + t\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 3 = f - 5*q, -4*f - 5*q = -12. Suppose 18 = -3*u + u + 2*a, 5 = -u + 5*a. Let r be ((-10)\/1)\/(u\/(-15)*3). Put 2, f, r in descending order.\nAnswer: f, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -477*f**6\/40 - f**5\/60 - 419*f**4\/12 - f**2 - 199. Find the second derivative of h(b) wrt b.\nAnswer: -8586*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1244, 1214, 1166, 1100?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 552*l**2 - 28155*l + 189. Determine w(51).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - (-9 - 0))\/(-2). Sort r, -3, -54.\nAnswer: -54, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -4) + 5 - -10 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9094758?\nAnswer: 2, 3, 43, 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -116, -1624, -5832, -14090, -27748?\n\"Answer: -225*v**3 + 67*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -82*o**5\/5 + o**4\/12 + o**3\/3 + o**2 - 96*o. What is the remainder when y(-1) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62415*k - 624 = 62376*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -40, -105, -206, -349, -540?\n\"Answer: -b**3 - 9*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 4\/7 (b) 3\/13 (c) 30 (d) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-81)\/54 - 3\/(-2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5303?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.4, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, 0.3, -0.8, 5\/3 in descending order.\nAnswer: 5\/3, 0.3, -2\/3, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 24. Give l(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrqprp. Give prob of sequence prq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15141.678 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 21 = -3*u, 7*u - 4*p = 9*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*u = 144*u - 703*u + 8096 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(-5)\/(-10) - (1 - 0). Solve -5*b + j = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 2*o + 6*o + (2 + 2*o - 2)*(-6 + 3 + 7) + (-6 + 0 + 2)*(6*o - 4*o + 2*o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 75. Solve 6*s - s = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/768 and 127\/2880?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -211151 divided by -238?\nAnswer: 211151\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 + g + 2. Calculate a(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + 2)**2.\nAnswer: 72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.042 + -0.042. Sort -3, -0.1, 2, c.\nAnswer: -3, -0.1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and ((-15)\/(-75))\/(2\/40 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4143187731 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + 0.4. Let o = -4.2 - t. What is the closest to 2\/3 in -0.5, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 443587752 to the nearest one million.\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 0, -k - 239 = 3*z - 1235. What are the prime factors of k?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18986 and 8591?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = f + 3*f - 36, 3*a = -5*f + 43. Let o(h) = 3*h + 2. Let p be o(-3). Let w = p + f. What is the second biggest value in -5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34963394 by -2.\nAnswer: 17481697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260631095?\nAnswer: 5, 2333, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10316?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -5, -642.832 in descending order.\nAnswer: 8, -1, -5, -642.832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9672.1 + 5\nAnswer: -9667.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 389 - 4287\/11. Let d = -19270.7 + 19271. What is the biggest value in -4\/7, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 14*a**2 + 11*a + 76. Determine l(13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + 14. Factor -20*o**2 + 6*o**4 + 11*o - 43*o + a*o**3 + 17*o**3.\nAnswer: 2*o*(o - 1)*(o + 8)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1003?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3598*p - 5 - 1 + 6 + 7192*p - 3593*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*z**2 + 32969*z**3 + 163*z**2 + 171*z**2 - 112786*z**3.\nAnswer: -79817*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(60)\/(2*sqrt(10))) + -1.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-323 - -380)*(-15434)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blm when three letters picked without replacement from meybwlye.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -2. Suppose -t + f = t - 4*i, -5*i - 2 = 2*t. Suppose -t*j = -j - 21. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*f**2 + 0 - 252*f - 93\/7*f**3 + 3\/7*f**4 = 0. Calculate f.\nAnswer: 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11100737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 387688516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1002232?\nAnswer: 1002232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/30*(-2)\/2*(-834)\/(-1529).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/(93\/496)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/36598 + -1994619\/1024744. What is the common denominator of m and -17\/12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/10 + 4477947*u\/5 - 20052009334809\/10.\nAnswer: -(u - 4477947)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139132 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 321785801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1183 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 9470472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-36 - -15) + 55 + 24\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4 + 11. Suppose 10 = -w + m*y, 3*y - 6 = -4*w + 2*w. Suppose w = -2*o - 2*o + 24. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 0, 0 = 2*m + 3*i - 21 + 2. Suppose -m*k = 7 - 61. Let b(f) = -4*f - k + 51 - 32. What is b(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 0 - (37653 - 37524)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -954*h - 121 + 40 + 39 + 42 as q + i*h and give i.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000253 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.7405239 nanoseconds to days.\nAnswer: 0.00000000000028634865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.93649 times -2\nAnswer: 23.87298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11.6 * -10.2\nAnswer: 118.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:15 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 5 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.8 - 142.8. Let f = 115.08 + n. Is f not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711000 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - (-3 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -338, -1154, -2518, -4430, -6890, -9898, -13454?\n\"Answer: -274*x**2 + 6*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4629, 8, 0.35 in ascending order.\nAnswer: 0.35, 8, 4629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8*s + 58 = 5*b, 5*s + 10 = -b. Solve 19 = 9*n + b*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y - 79 = -197 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*u + 29898 = -77*u. What is the remainder when 6134 is divided by u?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = -0*o - 2*x, 4*o - x = -6. Let y(s) = -s**2 - 18*s - 77. Let i be y(-13). Does 37 divide (-568)\/(-12) + (o - 32\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(22\/(-16) - -1). Let x be (-2 + (-20)\/(-8))*p. Let n = 197 - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -15, -y + 333 = 2*i + 2*i. Calculate the least common multiple of 168 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -70. Let g = t - -35. Which is the closest to -1? (a) g (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1368))\/((sqrt(12) - sqrt(48))\/sqrt(6)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 - 39*t - 308. Let p be w(-9). Solve 63 = -5*g + p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/7 - 31610*r**2\/7 - 126464*r\/7 - 126472\/7 = 0.\nAnswer: -2, 15809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.473 to zero dps.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.66 and 49.3.\nAnswer: 47.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 3. Let p be f(4). Let j be ((-66)\/p)\/((-2)\/(-6)). Let i = -11 + j. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.401 * 39170.\nAnswer: -15707.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*z**2 + 200 - 27*z**2 - 200.\nAnswer: -295*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 16 + 24. Let w be h\/4*(-8)\/5. Solve -13 = 2*l + 3*j, w*l + 7 + 9 = -4*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 + 24*t**3 + 21*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let r(f) = f**3 - f**2 - 1. Let b(j) = -1 - 4*j + 4*j - j**3. Determine a*b(d) - r(d).\nAnswer: -2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/7 - 168174*a\/7 + 47154069\/7 = 0. What is a?\nAnswer: -56337, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -486\/19183 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22343 times -5\nAnswer: 111715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 2, 3, -25, 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from gzgxxqsq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - n + (4*n + 0*n - 3*n)*(-11 + 3 - 9).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000164133 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/510*-17*(-6)\/(-2). Let g*h**2 - 7\/6*h**3 + 1\/2*h**4 + 1\/2*h - 1\/3 = 0. What is h?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637136 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*u + 13. Solve 4*a - u*a = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/54 and 103\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*6\/(-2). What is the derivative of -2*c**2 - 3*c**2 - 1 - c**m + 3*c**2 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 2*v, -4*q = 2*v - 6*v + 20. Let b(y) = -2*y**2 + 3*y + 2. Give b(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/((36\/(-6392))\/9). Let t = m - -2442. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2.84563, -6\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10001000110 (base 2) to base 9\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f\/((f*f\/f**(-7))\/f))**(2\/11)*(f**(-4)*(f\/f**5)\/f)\/(f**(-2\/7)*f**(-6)) assuming f is positive.\nAnswer: f**(-907\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6)*(-21 - 205\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -2*w - 28, -2*h + 4*w + 8 = 0. Suppose -5*z - h = -18. Suppose -5*r = 5*x - 80, -16 = -5*r + 3*r + z*x. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -40. Let q = 12 - 10.9. Let g = q - 1. Which is the second smallest value? (a) -0.02 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 25081?\nAnswer: -10032.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(200)))**2 + (sqrt(200) - (0 + sqrt(200) + 1)).\nAnswer: -2160*sqrt(2) + 7523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331268 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let f be 150\/(-22) - n\/22. Let i = f + 10. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 13563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-99.1014\nAnswer: 3.964056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*j - 10 = -374*j + 4*l, 0 = 5*j - 2*l + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 37, -3 in increasing order.\nAnswer: -3, 37, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*t**4 - l**2*t**2 + 28*l**2*t - l*t**2 + 2*l + t wrt t.\nAnswer: -12*l**2*t**2 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2 and 25\/131538?\nAnswer: 131538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 47. Suppose -4*c + 25 = i, 0*i = 2*i + 5*c - 35. Suppose -90 = i*q - y*q. Calculate the smallest common multiple of 10 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2720355cm?\nAnswer: 2720355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*p + 65, 3*p = 4*b - 7074 + 7121 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*v + 272*v = -231. Solve -236 = -5*u - v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*b**3 + 683*b**3 - 298*b**3.\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*z*z**(-1\/2)\/z)**(-7\/2)*(z**0)**(32\/3)*(z\/(z*((z*z\/(z**(-2\/5)\/z)*z)\/z*z*z*z)\/z*z))**(-16) assuming z is positive.\nAnswer: z**(6109\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1677*i + 1679*i - 2 = 5*t, 3*i + 9*t = -30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82436991 by -333753.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1788 times -0.8\nAnswer: -1430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 9*c + 15. Let n be s(3). Let m be (1 - 9)\/((-6)\/3) - n. Solve -5*b + m*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 6408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -19*p**7\/840 - p**5\/60 + 21*p**4\/4 - p**3 - p**2 + 135. Let w(g) be the third derivative of q(g). Differentiate w(x) wrt x.\nAnswer: -57*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51016 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277*-406.\nAnswer: 112462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 228 = 0. Suppose -11*a + 224 = 15. Calculate the highest common factor of a and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*(-220)\/308?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = -26, -352 = -f - 2*b. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Solve c = -n - 7, 4*c - 2*n + 4 = -x*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/3 (c) -1 (d) -2095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 - 102. Suppose 2*a - 12 = -u. Solve -a*y = -0 - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34965.39 centuries to months.\nAnswer: 41958468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-15)\/(-125))\/((-12)\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2696742, -5393398, -8090054, -10786710?\n\"Answer: -2696656*u - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566826 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 109 = -948*u + 953*u, -u - 77 = -4*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 9*z**2 - 6*z - 8. Suppose 0*l - 24 = -3*l. Let b be n(l). Calculate the greatest common divisor of b and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 38764837 = 16207163. What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49713 is divided by 7101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.09 and -25.\nAnswer: 227.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let w(m) = -5*m + 4. Let o = -7 - -3. Let l(b) = 11*b - 9. Let g(i) = o*l(i) - 9*w(i). What is h(g(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 2*m**2 - 2*m**2 + m**2 + 2*m**2 + 3 - 6*m**2 + (-2 + 2 - 3*m)*(3*m - m + 2*m) in the form f*m + k*m**2 + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*b**2 + b + 241*b**2 - 141*b**2 in the form t*b**2 + n + s*b and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*f - 3 = -5, -9 = 3*c - 3*f. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-766804)\/(-159))\/((-4)\/(-3)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-936)*4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5934 = -o + 4163. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**4 + 4*v**4 + 4*v**4 + (5*v**4 - 2*v**4 - 2*v**4)*(1 - 1 + 2) - 3*v**4 + 3*v**4 - v**4 + 4 + v**4 - 4 + 320 - 3828*v**4 - 656 + 336.\nAnswer: -3824*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20758 - 3141520492\nAnswer: -3141541250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssb. What is prob of picking 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36464*h**4 + 4*h**3 - 60*h**2 - 331*h wrt h?\nAnswer: 875136*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 e, and 1 v when four letters picked without replacement from oovyyboeeocccb?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - b**3 - b**3 + 717*b.\nAnswer: -8*b**3 + 717*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(19) + 2*sqrt(19) + -3) + -5 + sqrt(57)\/(3*sqrt(9)\/sqrt(3)).\nAnswer: -44*sqrt(19)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(2*t - t + 0*t)*(1 - 1 + 3*t**3) - 5*t**4 + 3*t**4 + 3*t**4 in the form j*t**3 + v*t + w + n*t**4 + q*t**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96139526 - 96139526 + 45*u**3 + 51*u**4)*(0*u + 4*u - 2*u).\nAnswer: 102*u**5 + 90*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*a - 10, -2*l - 13*a - 22 = -8*a. Sort 7, 6, l in descending order.\nAnswer: 7, 6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0529 <= 469\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6069 + 6068. Which is the second smallest value? (a) 0.5 (b) -3 (c) 5 (d) s (e) -0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 47 (b) 5 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22035)\/2712 - (-2)\/16. Which is greater: d or -5\/159?\nAnswer: -5\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*b = -452, -4*b = y - 45 - 191. Is 45 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*g = -10*g + 2*g - 24, 4*m + 61*g - 65*g = 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50479 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 891304657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**3 - 13*i**3 + 0*i**5 + 0*i**2 + 16*i**5 - 8*i**2 - 16*i**4.\nAnswer: 4*i**2*(i - 2)*(2*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 14. Let k be j(-7). Let b(m) = 4*m**2 - 2*m**3 + 61 - 3*m**2 + m + k*m**3 + m**3. What is the remainder when b(0) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.9065 kilometers to micrometers.\nAnswer: 816906500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -1835, -2754, -3675?\nAnswer: -4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppacpppacc. What is prob of picking 1 p, 2 a, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 88*b**3\/3 + 5*b**2 - 26*b + 16. Let g be z(15). Suppose 0 = 5*t - 108924 + g. What is t rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*4)\/(-3 - -5). Let k be (-3)\/(-3)*2\/l. Calculate the lowest common multiple of (k - (-5)\/7) + 46\/14 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*c**2 + 2278*c - 4 - 2276*c + 5)*(c**3 + 2*c**3 - 2*c**3).\nAnswer: 204*c**5 + 2*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 12*x - 169. Let l(m) = -3*m + 105. Calculate the remainder when 59 is divided by l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/17*27\/(-18). Let k(l) = 5 - 13 - l**2 - 7*l + 7 - 2. Determine k(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*d = 0, h - d = -2*d + 4. Suppose 352 = -h*t + 13*t. What is the highest common divisor of t and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**4 + 203*a**3 - 6*a + a - 203*a**3 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/192 and (-1)\/(4010\/(-90) + 9).\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 2 - 4842*f**4 + 4843*f**4 - f + 3*f**2 - 4*f**2 - f**3 + 3*f**2 as x + w*f**3 + y*f + m*f**4 + p*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 - q - 2. Let a = -1 + 3. Let n be g(a). Let f be (9\/(-36))\/(5\/(-80)). Solve n = f*k - 5 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/171)\/(3\/(-2))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 - 2272*q + 137060 = 0. Calculate q.\nAnswer: -623, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/22 + 10*w**3\/33 + 333*w**2\/11 + 3726*w\/11 - 1798. Factor y(a).\nAnswer: -2*(a - 23)*(a + 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31215394181\/708 + -44089531. Let l be (7 - 2 - -2)*(-1)\/236. Let a = l - s. Find the common denominator of a and 26\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7 = t - 4, -5*x + 12 = 2*t. Find the common denominator of (-94)\/12*-2 + t and 69\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 2*o - 2*o)*(-2 + 1 + 0) - 25*o + 60*o**2 + 25*o.\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {t: 1, g: 2, z: 5, j: 1, q: 2, p: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 909b7 - 5?\nAnswer: 909b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/28)\/(6\/(-8)). Let f = 2.1 - 2. Let o be (-6)\/(-9) - 120\/99. Sort r, o, f.\nAnswer: o, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -26, -2\/3, 5.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from oso?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10437 + 20869 + 2*p - 10432.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 2, 5, -0.4, -4423, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 761777957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.246\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14720295009 rounded to the nearest one hundred thousand?\nAnswer: -14720300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 2, g: 1, c: 2, h: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1239 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18212 (base 15) in base 9?\nAnswer: 128108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -947507*-0.3\nAnswer: 284252.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(((-21)\/6)\/(-7)). Do y and 28\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y + 9 + 9. What is the smallest value in -4\/7, y, 5, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + -5. Let w = v - 0.7. What is the smallest value in 1\/2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**8\/336 - w**6\/120 - w**2 + 2*w. Let u(t) be the first derivative of m(t). Factor u(c).\nAnswer: c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let n(z) = -19*z - 2. Let j(v) = 28*v + 3. Let p(g) = 5*j(g) + 8*n(g). Give -22*b(q) - 2*p(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9198.48861 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let j(x) = 2*x. Let v(u) = 4*f(u) + 3*j(u). Let n be v(3). Put -4, n, -1 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/24 - (-795)\/(-28) - (-138)\/(-161).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 668569961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 8*g - 12. Let x be n(6). Suppose x = -4*u - 6 + 18. Solve -u*f = 11 + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 0 - 6 + 9 - 5. Let t(b) = -2*b - 3. What is 4*m(f) - 3*t(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 4*q**2 - 3. Let k(h) = -h. What is j(k(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5 + 375*j - 162*j - 125*j + 3. What is the hundreds digit of t(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 9*x**4\/4 + 21*x**3\/4 - 39*x**2\/4 - 69*x\/4 - 9\/2 = 0.\nAnswer: -3, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b - 34*b - 2*b - 25*b. Let y(u) = -11*u. Give z(y(c)).\nAnswer: 869*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.031 and 0.0675.\nAnswer: -0.0020925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101202012 (base 3) to base 10\nAnswer: -7835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4242 divided by -206\nAnswer: 2121\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 166 (base 8) to base 5\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -614, -0.4 in increasing order.\nAnswer: -614, -0.4, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1, -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 times 10417?\nAnswer: -2333408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 2098, 7062, 16736, 32692, 56502, 89738, 133972?\nAnswer: 190776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k + 70 = 13*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 112049*d - 3249425. Determine u(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 20. Let w = 5 - n. Suppose -w + 36 = g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/30 and 59\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-8)\/(-128)*-22. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5131 (base 6) to base 8.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 - 0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 962, 2, 6, 313.\nAnswer: 2, 6, 313, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 4 + -2)**2 + ((sqrt(1700) + 1)*-2 - sqrt(1700)))*-1*3.\nAnswer: -465 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/30 and -14 - -6 - -14 - (-978)\/(-84)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 2. Let c(a) = 3*a - 56. Let u(t) = c(t) - 2*v(t). Let m be u(14). Suppose -m*b = -7*b - 405. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13087105.\nAnswer: 5, 19, 347, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18254 - 18254. Which is the third biggest value? (a) 2 (b) 51 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62740 and 18348313?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 620326420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l - 8. Let g be x(3). What is the second derivative of g*p + 0*p - p**3 + 5*p**3 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3157440?\nAnswer: 2, 3, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.3145 - -0.1155. Let r = k + -13. What is r rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491862.\nAnswer: 2, 745931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205654, -409784, -613912, -818038, -1022162, -1226284, -1430404?\nAnswer: -1634522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i - 11. Let p be 10 - ((-2)\/(-2))\/1. Is 17 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*b = -674*b - 420 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*b - 134 = 0, -38 = g - 2*g + 5*b. Let a = -29 + g. Which is smaller: -13 or a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31876.\nAnswer: 2, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g - 31. Let s(a) = 3*a - 14. Let o(y) = 1. Let i(t) = 4*o(t) + s(t). Let d(l) = 7*i(l) - 2*w(l). Determine d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005735 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*814.\nAnswer: 325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 51 = -l, -16*z + 4*l = -20*z + 12. Suppose -4*g + 118 = 5*v, -2*v + 14 = 2*g - 44. What is the greatest common divisor of g and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-4662)*(0 + 3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 - (11 + -12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -24350\nAnswer: 23\/12175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14023732 (base 9) in base 10?\nAnswer: -6924638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 97 = -45*q + 606 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.4001g to micrograms.\nAnswer: 714400100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let d(y) = -y - 2. Suppose -2*w - 284 = -7*w - n, -5*n - 260 = -5*w. Let x be w\/(7 - 15) + -2 + 5. Give x*d(z) + 3*m(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((-5*1*sqrt(275) + -1)**2 + -4 + 1).\nAnswer: -103095 - 750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/5)\/3*(-25)\/(-70)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**3 - 46*w**2?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.7, 0.5, 2.046 in descending order.\nAnswer: 11.7, 2.046, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 51992790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1540 + -719. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 399318631, -3, 4?\nAnswer: 399318631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 8*v + 3. Let n be w(-7). Suppose 0 = 3*b - b - n. Factor 4*d**2 - b*d**2 + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 934*f + 9525. Give v(-11).\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*r - 1181*r**3 - 509*r + 1246*r**3.\nAnswer: 65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 minus -252?\nAnswer: 251.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**4\/24 + 13*w**3\/6 + w**2 - 20. Let z(h) be the first derivative of v(h). Let b(x) = -2*x - 4. Calculate -b(c) - 6*z(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 5396925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*d + 48. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 36\/7 + 111\/7*j + 6\/7*j**2 - 9\/7*j**3 = 0.\nAnswer: -3, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by (-3577)\/(-42) + (-1)\/((-30)\/(-65)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1239849 and 2457.\nAnswer: 26036829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -24. Suppose f + 36 = -4*g + 11, -f + 3*g = n. Suppose 3*m = x + 3, 5*x + 264*m = 266*m - 80. Is x not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 459.\nAnswer: -5\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/29 or -2512175?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*t - 13 = -6*t, -4*t - 11 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - e?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2. Let w(h) = -20*h + 21*h + 23*h + 29*h. Give w(k(m)).\nAnswer: 159*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 545617 (base 8) in base 11?\nAnswer: 1156a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 4. Let g be d(0). Suppose 6 = -4*y + f - g*f, -3*f - 6 = y. Solve y = 4*j + x - 4, 2*j - 2*x + 8 = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (38 - 1)\/(-8 + 9). Let z be 14\/(-49) + n\/7. Suppose 4*y - 4 = 0, y = z*u - 0*y - 149. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1807 and 973.\nAnswer: 12649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -374113\/2, 2\/7, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - 9*c**2 + 53*c + 28. Is a(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668091 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(405) + 5 + -3 - (-5*(2 + sqrt(405)) + 3 + sqrt(405) + 3 + sqrt(405))) + -3)**2.\nAnswer: 576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 33. Let d = -9 + q. Solve -2*j + 4 = -d*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75760 minus 412606?\nAnswer: -336846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4511888415\/1377682 + 45790\/12997. Let o = u + 3271. Let n = o - 2\/53. Put 3\/5, n, -1 in descending order.\nAnswer: 3\/5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 5, 2\/43, -2, 1\/10, 1\/20?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 3*l**2 + 2. Let g be m(0). Suppose -40 = -g*i - 8*i. Let r be (-3 - -7 - i) + -328. Round r to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 9*m + 19. What is the remainder when j(-10) is divided by (0\/2 + 1)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let l be 1 - (-1 - -2)*-1. Let u(g) = g**2 - g**2 - g**l. Calculate u(w(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*c = -10, q + 6362 = 3*c + 6357 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = 0, s + 2*s - 10 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1153, 4687, 10619, 18943, 29653, 42743, 58207?\nAnswer: 76039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-1101))\/((-2)\/147) - (-7)\/(28\/16).\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.57 and 23.\nAnswer: -13.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -g - 85 + 97, 0 = -2*o - 12*g - 42 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18990, -18989, -18988, -18987?\n\"Answer: x - 18991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778644 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 211.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -366745.\nAnswer: -366750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2207164 is divided by 807.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 807869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8131.902 - -8125. Let m = c + 5.07. Let s = m + 1.8. Round s to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -63, 4, 11, -1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1357 + -1357.0007945. What is j rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjtll. What is prob of sequence lj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + sqrt(980)*-1 + sqrt(980))\/(6*1*sqrt(10)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263846864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 28*q + 30. Suppose -a + 60 = -2*x, -5*x + 3*a - 144 = 2*a. Is z(x) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -938, 3, 4, 5, -4, 1 in descending order.\nAnswer: 5, 4, 3, 1, -4, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19521257 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - k - 3*k = 272, 0 = -4*a + 4*k - 232. What is the tens digit of ((-10)\/(-6))\/((-3)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 43964\/3497?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*y + 15564 + 1847 + 23928 - 7897 = 0 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 13*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 6695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 + 15 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 54. What is the units digit of 5\/(-2)*m\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 24699?\nAnswer: 24701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 593361 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = -j, j - 4*b = 3*j. Solve -3*l - 35 = j*y, 0 = -l - 4 - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(270\/12))\/(9\/((-405)\/2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-42))\/((-6)\/9). Let k(i) = -10*i - 1. Let v be k(1). Let s = v - -11. Is t at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -9 - 11 - (5 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.316 + 0.3159813. What is h rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -19.7. Let f = b - 4. Let l = 14.9999987 - f. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294*u**3*v**4 + u**3*v**3 - 54*u**3 - 26*u wrt v?\nAnswer: -1176*u**3*v**3 + 3*u**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.300799 and 256.\nAnswer: -77.004544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 7*p - 9. Let y be 35\/(-14)*16\/(-10) + p. Let v = 193\/126 - 2\/63. Which is the third smallest value? (a) y (b) v (c) 3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 905, 0, 2, -8 in decreasing order.\nAnswer: 905, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -484682 + 911.\nAnswer: -483771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k + 86. Determine u(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v + 54 - 54 to a + c*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:53 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**5 - 7*q**2 - 10*q**6 + 3*q**5 - q**6 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 2356 + 13566 - 3*q**3.\nAnswer: -2*q**3 + 15922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 1. Let g(n) = 41*n**3 + 2*n**2 + 21. Let w(r) = -g(r) + 3*q(r). What is the third derivative of w(l) wrt l?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 + -105. Let w = m + -74.058. Round w to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1237956 + -3\nAnswer: 1237953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d)\/(d*d**(-7)*d) assuming d is positive.\nAnswer: d**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 438, -3, 13, -1, 133 in decreasing order.\nAnswer: 438, 133, 13, 8, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 g when four letters picked without replacement from {e: 3, h: 1, s: 3, x: 3, g: 3, p: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 53*i + 24. Let c be s(-24). Let g = c - -2335. Is g 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 59031*h**2 + 60910*h?\nAnswer: 118062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 13.32\nAnswer: 1.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 4 - i - 5)*(2 + 2*i - 2 + 2).\nAnswer: 4*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, -92, -334, -672, -1106, -1636, -2262?\nAnswer: -2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -23. Let g be 3 + 2\/(-1) - 3. Sort 1\/5, n, g.\nAnswer: g, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40197 + 10739 = -35*x + 13*x. Calculate the least common multiple of 927 and x.\nAnswer: 12051","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/4 + 89581*k**4\/4 + 668737095*k**3 + 6656609028700*k**2 + 6655940314000*k = 0?\nAnswer: -29860, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 4905 = 3*j - 36*m, j - 3*m = 1635. List the prime factors of j.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 48.3. Let u = v + -0.24. Let g = 0.44 + u. Which is the biggest value? (a) 0.8 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*t = 6, 0 = -6*a + 3*t - 47 + 149 - 48 - 48 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124.5 - 99. Let h = y - 25. What is the closest to 0 in 4, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 - -108. Solve j*p - 8 - 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -799078*b**2 + 6 - 2 - 4 + 799077*b**2. Let t(l) = -5098*l. What is o(t(g))?\nAnswer: -25989604*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 110*r**2\/3 + 32*r - 216.\nAnswer: 2*(r - 2)*(r + 3)*(r + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9044, 9042, 9044, 9056, 9084?\n\"Answer: v**3 - 4*v**2 + 3*v + 9044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 6)*(0 - -2). Let l be (-2)\/(0 + u\/(-9)). Solve -h - 8 = -l*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1887536 and 121\/5322.\nAnswer: 5662608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 13*m + 238. Let q(y) = 73*y + 124 - m*y - 122. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - a + 2*a)*(-437*a**3 + 439*a**3 - 2 + 6 + 2*a) in the form y*a**4 + h*a**3 + i + q*a**2 + l*a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21649?\nAnswer: 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-6))\/(-6)*(-2 - 875). Suppose -100*v + i = -99*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/36 + 103*t**3\/9 + 10609*t**2\/6 - 187*t. Factor x(v).\nAnswer: (v + 103)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173834?\nAnswer: 2, 23, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 12*a**2 + 11*a - 1. What is l(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:41 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 8. Let m be i(0). Suppose -q = q + 3*j - 79, -3*j = q - 47. What is the highest common divisor of q and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-5*w**2 + 5*w**2 - w**3) + 87*w**2 + 130*w**3 - 87*w**2 in the form x*w + i*w**2 + n*w**3 + c and give n.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + 9 + 3\/((-6)\/(-20)). Solve -s + 3*c = k, 12 = -4*s + s + 3*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/7, 0.1, -0.7, 56, -6 in ascending order.\nAnswer: -6, -0.7, 0.1, 1\/7, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 6, k: 2, e: 3}. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: b\"What is the fth term of 229883, 460183, 690483, 920783, 1151083, 1381383?\n\"Answer: 230300*f - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1630393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180682.\nAnswer: 2, 61, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4039931.474 to the nearest 10000.\nAnswer: 4040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + y - 2 + y + 2 + (-1 + 1 - 2)*(28*y - 13*y + 95*y).\nAnswer: -218*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 8)\/(34\/6 - 5). Suppose -4*d - 5 = -3*a, a + 5*d - 7*d - 1 = 0. Solve -3*j - g + a*g = -x, -2*j - 4*g = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 11*r - 12. Let c be b(-9). What is the tens digit of 1966\/18 - c\/(-162)*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38871)\/(-73423))\/((-75)\/34).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23089 by -2099.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/236964 and 59\/780.\nAnswer: 1184820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70062117 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 - 30*j + 22. Let o(c) = 8*c**2 - 31*c + 22. Let n(u) = 6*o(u) - 7*p(u). Let i be n(9). Are 112 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 - 8*m + 4. Let k(n) = 20*n**2 + 33*n - 17. Give -9*f(v) - 2*k(v).\nAnswer: 5*v**2 + 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 64 - 19. Is (-10)\/(7 + -2) + 1396 - w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/14)\/((-644)\/3381).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from {i: 8, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmavmvmmmhmmmhmmmm. Give prob of picking 1 m and 1 t.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10209 + 10210. Let m(t) = 20*t - 5. Determine m(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-15)*6\/8. Let m = 27 - 27.2. Let l = -4923\/2 - -2460. What is the biggest value in l, m, i, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4176360 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Collect the terms in 426 + 2*s**3 - 426.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + r**3 + 3*r**3 - 6*r**3 + 6*r**3 + (3*r**2 - 4*r**2 + 2*r**2)*(6*r - 2*r + 0*r) + 2*r**3 - 3*r**3 + 0*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((15336\/(-12780))\/((-3)\/(510\/8)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 33*w**5 + 36138*w**4 + 111492*w**3 + 117978*w**2 + 45867*w + 3276 = 0.\nAnswer: -1092, -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511 - 131 - 3*k - 137 - 138 - 105.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 729927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -10 - 50. Calculate the remainder when 42 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88552129 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32707, 32709, 32711, 32713?\nAnswer: 32715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -116.53. Let q = -0.07 + h. Let a = q + -0.3. Does 0.5 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -154, 32, 10, -81, 2 in ascending order.\nAnswer: -154, -81, -3, 2, 10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11652, -52262, -119938, -214674, -336464, -485302?\n\"Answer: y**3 - 13539*y**2 + 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27643 and -1.\nAnswer: 27643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11842 and 6534522178.\nAnswer: 11842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2337.7.\nAnswer: -7013.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1028.644086 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(56) + sqrt(168)\/sqrt(3)))\/(2*sqrt(8)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.566231 nanometers?\nAnswer: 0.000000004566231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*s = 718*s + 2022. What is the lowest common multiple of 22 and s?\nAnswer: 7414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 1580*r**2 - 312065*r + 3. Let d(z) = -22*z**3 - 9480*z**2 + 1872385*z - 17. Let h(o) = -6*d(o) - 34*p(o). Let h(a) = 0. What is a?\nAnswer: 0, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 25\/4 (b) 7 (c) 6 (d) -19\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3447?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g**2 - 13*g + 13*g - 15*g**3 - 6*g + 40 - 14*g.\nAnswer: -5*(g + 2)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*r - 150 = 558*r. Let b = -34 + r. Calculate the remainder when b is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3))**20*(d*d*d**(-7))\/(((((d\/(d\/(d\/((d*d**(-1\/8)*d)\/d))))\/d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(613\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26303 or -26319?\nAnswer: -26303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2*n*s**2 - 121*b**2*s + 6*b**2 - 2*n*s - 16*n wrt s.\nAnswer: -10*b**2*n*s - 121*b**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6925 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: b\"What is the ith term of -12747142, -12747149, -12747160, -12747175, -12747194, -12747217, -12747244?\n\"Answer: -2*i**2 - i - 12747139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:17 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339293353 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((((p\/(p*p**0\/p*p))\/p)\/p)\/p)*(p\/p**(1\/6))\/p*(p\/(p*p\/p**(4\/7)))\/(p*p*p\/(p*p**6)*p))**(-4\/11))**(6\/7) assuming p is positive.\nAnswer: p**(-1076\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 117 = 4*f - 5*o + 9*o, 3*f + 52 = -2*o - 0*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 6*j - 5. Let h be k(-4). Suppose 0 = 2*t + h*t - 21000. What is t rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**2\/3 - 740*v\/3 - 1088.\nAnswer: -2*(v + 48)*(7*v + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*p - 3*c - 8, 9181*c = -p - 0*p + 9174*c + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 284420 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5025 - -5031. Solve -185*t = -184*t - v for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 3575, 9274, 18647, 32498, 51631, 76850, 108959?\nAnswer: 148762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -27, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1396.86 and 208.8534.\nAnswer: -1188.0066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q**2 - 4*q + 2. Let b be r(2). Suppose u - 49 = 4*c - 17, 0 = -3*u. Let p = b - c. Solve l + p = -2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 13. Let a be 10 - (4 + m + -1). Let p be 22\/8*4*1. Solve 0*u - 2*u - a = -3*r, 4*r = 3*u + p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:41 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/8 of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4448615, 8897225, 13345835, 17794445?\n\"Answer: 4448610*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 1. Let p(s) = 2*s**2 - 12*s - 13. Let f(x) = -p(x) + 3*y(x). Let c be f(-7). What is the units digit of (c + 2)*(-3 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3637993*j*n**2*q**2 - j*n*q**2 - 415*j*n*q - j*n - 4*j*q**2 - 2*j*q + 3*n**2*q**2 + n*q - 24*q**2 wrt n.\nAnswer: 7275986*j*q**2 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/45*5\/2. What is the nearest to 0.1 in w, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = -4*q, k + 2*q = 263. What are the prime factors of k?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 - c + 2. What is the remainder when j(6) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14715 + -14623. What is the highest common factor of a and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4416 = 107*s + 36*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**7\/14 + 14*t**6\/5 + 159*t**5\/20 + 13*t**4\/2 + 80*t - 10. Factor b(o).\nAnswer: 3*o**2*(o + 1)**2*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 20, 0 = -p - p + t - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 3, -8, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 2*l. Let q = 112 - 114. Which is the closest to -0.2? (a) q (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/2 - 54180*n + 77596866 = 0.\nAnswer: 1494, 34626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1975.999147 - -1976. Round j to 5 decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*9\/(-2). Suppose -m = x - 11, 0*m + p*m = 4*x + 33. Suppose -2*o - m = -29. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*t - 61 = 0, -5*f + 2*f = -4*t - 31. Calculate the remainder when f is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 6*c - 13. Suppose 0 = -0*x - x - 8. Let b be z(x). Solve -4*o - 4 = -b*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -454? (a) 2\/17 (b) 13\/2 (c) -1\/2 (d) -59 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 - 3*u - 1. Suppose 4*v - z = -5, -5*z - 11 = -28*v + 26*v. Calculate q(v).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*y = -48, 2*h + 63 = 5*h + 3*y. Calculate the smallest common multiple of 14 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 5\/31, -2?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2006 - -3?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 12*f**2 - 144*f\/5 - 512\/5.\nAnswer: 2*(f - 4)*(f + 2)*(f + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28986 + -24356. Solve -9*o + z - 4684 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3 + -1)\/((-4)\/(-84)). Suppose -z*s = 7*s - 42. Calculate the highest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:19 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 + 741?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/(sqrt(11)*2))\/sqrt(3).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**22)**(4\/5) assuming p is positive.\nAnswer: p**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-3)\/12). Suppose -3*o - c + 11 - 1 = 0, 5*c = n*o - 35. Suppose o*x + 212 = 52. What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7686.979mm in kilometers?\nAnswer: 0.007686979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 21, 40, 77, 138, 229?\n\"Answer: v**3 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 401, 403, 405, 407?\n\"Answer: 2*t + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2828 and 8080.\nAnswer: 56560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-5 + 11 + (0 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2991036 + 2992116 = -36*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -23, -3, -2, -32, 4 in descending order.\nAnswer: 4, -2, -3, -17, -23, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-14)*4\/(-5)*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411779518 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -19*z - 17 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/2 + 1536*o**4 + 2824073*o**3\/2 + 357178823*o**2 + 27355506438*o + 53293569316 = 0.\nAnswer: -1366, -169, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 1. Let x be y(0). Is 4*x\/6*57 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4174 - 4171. Sort 2, -3, 28, o in decreasing order.\nAnswer: 28, o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54250?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b81a4 + -85?\nAnswer: -b8259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 75*k**2 - 350*k - 58. What is h(70)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/489 - 145384\/1467. Let g = -99 - r. Let m be (-2)\/14*1*-2. Which is the smallest value? (a) g (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(1 - 3\/(18\/357)). What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.83 + 10.47. Are 2\/3 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12372 and 212724.\nAnswer: 219318444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:06 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 - 2*l**3 - 4*l**5 - 3*l**5 + 4*l**5 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75900531 divided by -427?\nAnswer: 177753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028612, -2057223, -3085834, -4114445, -5143056?\nAnswer: -6171667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3129 - 3026. Calculate the remainder when 11945 is divided by p.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37567.61 centuries in millennia?\nAnswer: 3756.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1161539*j + 44055. Let t(l) = -3563*l + 135. Calculate -1958*t(b) + 6*u(b).\nAnswer: 7120*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 4*a + 12. What is the remainder when 126 is divided by w(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21286231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128043 and 3765276?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 divided by -74599?\nAnswer: -762\/74599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 863029628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25911540*w**3 + w**2 + 192*w - 1243?\nAnswer: 155469240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000178005 to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 828\/46*(-48)\/36?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*j - 45 = 0. Suppose 0 = -3*g + j*g - 10. Suppose 4*d + 4*b = 68, -b + 86 = g*d + 3*b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 76, 67, 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 5. Let r be y(-7). Suppose -2*n = 2*n + a - 528, r*n + 5*a = 645. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1584) + -1)*-1 + -5)**2.\nAnswer: 96*sqrt(11) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2) + 4)**2 + (sqrt(2) + 0)*3 + -1.\nAnswer: 11*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*m - 48. Let y = -0.4 + 0.3. Let h = 2\/213 - 221\/852. What is the nearest to y in m, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 452 = -0*q. Let h = q - 48. Suppose 0 = 9*y + 24*y + 15*y - 1248. Calculate the greatest common divisor of y and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*m - 19 - 185, -3 = -m. Let h = -32 - j. Factor -4*c - 7*c**3 - 3*c**3 + 6*c**4 + 8*c**2 - h*c**3 + 10*c**2.\nAnswer: 2*c*(c - 2)*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/645 and -45\/4601.\nAnswer: 69015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3*z - 2*b**3 + 2177*b**2*z - 2*b*z + 187*b + 9 wrt z.\nAnswer: 3*b**3 + 2177*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/2)\/m*(m**(-5\/7)*m)\/m*(m**(-1))**(-17\/4) assuming m is positive.\nAnswer: m**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31216397 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 11) in base 10?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 20. Let a be (-24)\/(-10) - 6\/15. Suppose m - 29 = -5*p, c*m - 9 = -p + a*m. Solve x + p*j = 4, 5*j + 11 - 3 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42)\/((-3)\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assasat. What is prob of picking 2 s and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 360185037 to the power of 1\/2, to the nearest integer?\nAnswer: 18979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 2.7268.\nAnswer: -10.7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11\/2)*u)\/(u*u\/(u\/u**20)*u*u))\/((u*u*u**(-15)*u)\/u*u**(-8\/5)) assuming u is positive.\nAnswer: u**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -23. What is the least common multiple of a and (-19 - -9)*1\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -80 + 44 + 2 + (1 - -43 - 1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 7*w. Let u be (-3)\/((-18)\/84) + 1. Let y be 188\/20 - 6\/u. Give m(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10395056 divided by -49\nAnswer: 212144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u - 3. Let i be j(-2). Suppose -2*c = -0*c - i*c. Solve c*q + 4*q = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/2)*(-98)\/196?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001173 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627254?\nAnswer: 2, 31, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 44.5. Let s = -22 + 22.1. What is the closest to s in y, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 1211*a\/3 + 8285792\/3.\nAnswer: -(a - 3547)*(a + 2336)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1254 (base 10) to base 2.\nAnswer: -10011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(7\/5)*n*n**(-12)\/n)\/(n**(-12)*((n*(n\/(n**(5\/3)*n))\/n)\/n)\/n))**(-5\/2) assuming n is positive.\nAnswer: n**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 7 + 16. Suppose -4*d - 1 = h*v, 5 = 5*v - v - d. Let p be v\/(-4)*32\/18. Which is the third biggest value? (a) -1\/8 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 5409984?\nAnswer: 5409984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854.0762 minutes in hours?\nAnswer: 30.90127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 121?\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 379 + (-2 - 4) + 4. Calculate the highest common factor of g and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 754 - 380 - 374 - 2*q**2. Let a(g) = g + 101. Calculate a(d(n)).\nAnswer: -2*n**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70278686862 + 14*w - 70278686862.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 5. Let s be t(-3). Let x(z) = -9*z**2 + 93*z - 26. Let j be x(10). Sort s, -8, j, -5.\nAnswer: -8, -5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -106 - 26. Let l = -32 + i. Suppose 0*c = c + l. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4149 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Solve f*g = 4*x, 2*g + 2*x - 9 = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4881425\/1498728 + 123\/11354. Let w = 161\/33 - c. Find the common denominator of w and 51\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 2\/23, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471147 is divided by 1044?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 8, 5*n - 39*p = -41*p - 6. Let f = 32 + -14. What is the highest common divisor of f and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29608, -3\/5, 28.01?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8724409 and 2060?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + -9 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 95, 178, 283, 404, 535?\n\"Answer: -u**3 + 20*u**2 + 2*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 + 1. Let t be u(1). Let j(m) = 8*m**2 - m + 7. Calculate the remainder when j(t) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2468427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282089607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126196*k + 4*m = 126192*k + 60, -5*m + 66 = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d**3 + 13*d**2 - 26*d + 6. Calculate l(2).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 2:35 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167222672 divided by 1?\nAnswer: 167222672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -582, -597, -622, -663, -726?\n\"Answer: -y**3 + y**2 - 11*y - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q + 10890 = 150*q - 195*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6875, 6878, 6883, 6890, 6899, 6910, 6923?\nAnswer: 6938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50209 is divided by 1730?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5822, -4066, -2310?\n\"Answer: 1756*u - 7578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 1460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032623757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271502296 by 955994.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 19 + 9*u + (5 + 0 - 3)*(u + 0 + 0) + 41*u + 10*u + 15*u + 0*u + 3*u - 2*u + (2 - 2 - u)*(1 + 1 - 4) to the form q + s*u and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 - 5*a**2 - 3*a + 1. Let n be v(-4). Let r = n + -216. What are the prime factors of r?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggogzzgzzaa. What is prob of sequence gag?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 20. Does 33 divide 4\/3 - 879\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4759?\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -16267142923769.\nAnswer: -16267142923769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15\/28, -1\/4, 7, -1\/6, -0.117?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-308) + ((-40)\/22 - -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 3*k**4\/2 + 2*k**3 - k. Let g(r) = 7*r**2 + 5*r. Let m be 4\/(-6) + 136\/(-12). Let h(x) = m*g(x) + 5*z(x). Determine h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 - 0.4. Let i = l + 4.68. Let y = -4.79895 + i. What is y rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12051 and 16338816?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + x + 13 = -6*i, -29 = 4*i + 5*x. Let m be (-86)\/11 - 12\/66. Let v be 3\/i*6 - m. Solve 16 - 1 = -v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795 divided by -13522?\nAnswer: -6795\/13522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -436?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 3, -5 in decreasing order.\nAnswer: 3, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1072967*z - 499586 wrt z.\nAnswer: 1072967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.8 + -4.8. Let p = 102 - 513\/5. Which is the nearest to 1? (a) n (b) p (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let w(j) = -j**3 + 5*j**2 - 1. What are the prime factors of w(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-50)\/(237600\/324)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q + 0*q)*((2*q**2 + 0*q**2 + 0*q**2)*(1 - 1 + 2) + q**2 + q - q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7091479 is divided by 891?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 3. Suppose 594*c - 595*c = 3. Let i(u) = 5*u - 3. What is c*n(s) + 2*i(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 5*p - 10. Let y(k) = k**2 + k - 2. Let v(s) = -f(s) + 5*y(s). Let o(n) = n**2 + 2*n - 2*n. Give o(v(z)).\nAnswer: 121*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 149, 266, 413, 590, 797, 1034?\n\"Answer: 15*d**2 + 42*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 3. Let t(s) = 15*s**2 + 386*s - 380*s - 13*s**2 + 9 + 7. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 49 = -13*p, 35*p = 33*p + b + 16. Let k(x) be the first derivative of 2*x**3\/3 - 2*x**2 + 3*x - 1. What is k(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-33)\/(-66)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11*((2 - -5) + -6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71 + 133 - 66 - 4*l - 37*l**3 wrt l.\nAnswer: -222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**5 + 672*z**4 - 380*z**2?\nAnswer: -240*z**2 + 16128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 6 + (9 - (-3 - -19))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 58. Let x be s(7). Let m(c) = c**3 - 6*c**2 + 2*c - 5. Let z be m(x). Sort z, -4, 1 in ascending order.\nAnswer: z, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 22, -7, -54, -125, -226, -363?\n\"Answer: -z**3 - 10*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 18*l + 3*s + 1428 = 0, 572 = 2*l - 2*s. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-72)*((-4)\/(-30))\/((-11)\/(-1210)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5002*-2.\nAnswer: 1.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/13 - 224*w\/13 - 8178\/13 = 0. Calculate w.\nAnswer: -29, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(-60)\/5. Let l be r\/(-2) + (173775\/2360)\/(-15). Let y = -15\/8 - l. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 15. Suppose 11 + a = 4*d. Suppose -62 = d*j - 334. What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38111?\nAnswer: 23, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -68*b**3 - 304*b**2 + 6*b - 8. Let c(r) = r**3 - 4*r**2 - r + 1. Let s(t) = -8*c(t) - p(t). Find the third derivative of s(k) wrt k.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/20 - 121625\/(-20). Suppose -4772 = -13*z + r. What are the prime factors of z?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679728 to the power of 1\/2, to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4779 or 4782?\nAnswer: 4782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 48\/3695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - ((sqrt(847) - (sqrt(847) + -2)) + sqrt(847)))**2*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q**3 + 13*q - 7\/20*q**5 - 1\/40*q**6 + 0 + 13\/3*q**4 - 7*q**2. Find the second derivative of n(h) wrt h.\nAnswer: -18*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*(-33210)\/24600?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25132 divided by -1.\nAnswer: 25132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 28 = -3*m, 15*s - 19*s = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.706 + -862833?\nAnswer: -862830.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 6*r - 7. Let d be q(6). Let s = d - -37. Calculate the highest common divisor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Suppose 5*s + 1 = 3*d - 4, 2*s - 2 = 2*d. Let i be d + 4\/(-6)*-8. Which is the nearest to n? (a) 2 (b) i (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -64 in decreasing order.\nAnswer: -4, -14, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 176*c + 546. What is x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*u + 13 + 15, 0 = 2*s + u - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/m**(-1\/8))\/m)\/m*m)\/m**(-3\/4)*m\/m**1*m*m*m**2*m assuming m is positive.\nAnswer: m**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/37640 and -63\/212.\nAnswer: 1994920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-336)\/(-88) + (-2)\/(-11). Solve -5*z + n - 24 + 8 = 0, -5*n - 4 = -l*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = s + 5*j - 20, -2*s - 5*j = -20. Let l = 0 + s. Differentiate -1 + k**3 + k**3 + l wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-166)\/60. Let i = s + -13\/5. Let b = 37513\/27780 + -1\/2778. Calculate the common denominator of i and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7024, 6932, 6790, 6610, 6404, 6184, 5962?\nAnswer: 5750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u**3 - 57*u**2 + 10*u - 13. Let g be l(-5). Sort 5, 1, g, -3, 3 in ascending order.\nAnswer: -3, 1, 3, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9267 and 46335.\nAnswer: 46335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 85 = 4*g - 4*q, 10*g - 85 = -3*q - 104 - 194 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -785 - -823. What is the highest common factor of i and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -h - 26, -9*h = -4*h + 10. Suppose 0 = -l*r - 11*r - 85. Is r <= -49\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s - 65. Let l(a) = 156*a - 388. Let c(g) = 3*l(g) - 19*n(g). What is c(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n, -4*n = -5*o + 35. Let r(l) = l + 15. Let d be r(-13). Solve 4*p - o = 4*q + 13, -p = d*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let f be (k + -2)*0\/1. Solve 2 = -y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418589423485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 50*o + 11. Let x(s) = -17*s - 4. Suppose 0 = -w + 4*r + 9, 5*w - 106 + 133 = -4*r. Calculate w*i(j) - 8*x(j).\nAnswer: -14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2. Let b(c) = -13034*c**2. Give x(b(d)).\nAnswer: -509655468*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10411273 to the nearest integer?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(847) + sqrt(847)*1).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -13*s**8\/336 - s**5\/5 - 7*s**2 + 7. Let z(o) be the second derivative of q(o). Find the third derivative of z(x) wrt x.\nAnswer: -780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - z**3 - 6*z + z**2 + z + 1 to the form w*z**2 + t*z + v*z**3 + k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 475441775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*((x + 4*x - 4*x)*(-x + 2*x + 2*x) + 2*x**2 - 2 + 2) - 10*x**2 + 14*x**2 - 16*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -ba6 (base 12) to base 15\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60664651174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n - 1. Let d(u) = -29*u + 10680 - 3563 - 3559 - 3560. What is -3*d(b) + 5*y(b)?\nAnswer: 12*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u + 8. Let z be f(6). Put -3, 3, z in decreasing order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/4398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 5 + 5 + -3 + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/15)\/(x\/x**(-18))*(x*x**(-22))\/x*x**(-11) assuming x is positive.\nAnswer: x**(-781\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 51*b**3 - 220*b**2 + 233*b**2 - 3*b.\nAnswer: -51*b**3 + 13*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.138 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -25, -60, -131, -250, -429, -680, -1015?\n\"Answer: -2*z**3 + 3*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*-1)*-4 - (sqrt(88) + (2*sqrt(88) - sqrt(88)) - sqrt(88))*4)\/(sqrt(40)\/sqrt(5)*1 - sqrt(200)*-6).\nAnswer: -12*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 + 6 = 0. Solve -w = k*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Sort f, -5, -3\/2.\nAnswer: -5, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 4, w: 10}. Give prob of sequence ewnn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*i - 6, -4*i - 8*o = -9*o + 8. Let x = -44 - -48. Suppose 3*y - 2*g = -g - 15, -2*y + x*g - 20 = 0. What is the second smallest value in y, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/2 + 66*v**2 + 131*v\/2 = 0. Calculate v.\nAnswer: -131, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 40*s + 195. Let c be f(-24). Solve 0 = 3*h + 2*x + 9, h - c*x + 1 = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -11. Suppose -2*o = -z*o + 12. Suppose o*t - 28 = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4405, 4399, 4381, 4345, 4285, 4195, 4069?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2804548 by -212.\nAnswer: 13229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j*j*j**(-1\/2))\/j))**(-12)\/((j**(-1)\/j)\/j)**(-13\/6))**11)**(-2\/41) assuming j is positive.\nAnswer: j**(11\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let x = 4 + 0. What is the second derivative of k*r + r**4 - 3*r + 3*r**x wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - 3*m**2 + m**2. Let k(f) = 6*f**2. Give i(k(z)).\nAnswer: 108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2\/5 - 43633568*a\/5 + 392702436\/5 = 0.\nAnswer: -10908401, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 132, 34 in decreasing order.\nAnswer: 132, 34, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 5*i + 3*i. Let l be 1*-1*(6 - 8). Let s be j(l). Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1063*g - 8443. Calculate h(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -166 + -18?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a**4*z - a**4 + 13648*a**3*z - a**3 + 1592411*a**2 - 7*a*z wrt a?\nAnswer: 384*a*z - 24*a + 81888*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 10 - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 2*s**4 + s**4 + (-2 + 2 + 3*s)*(0 + 1 + 0)*(3*s**3 + 3*s**3 - 4*s**3).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let r = d - -2. Let m(f) = 2*f - 5. Let g(i) be the first derivative of -5*i**2\/2 + 14*i + 1. Give r*g(b) + 8*m(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let w(u) = 129*u**2. What is w(j(d))?\nAnswer: 129*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9527974 divided by -6?\nAnswer: 4763987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 24*q + 548. What are the prime factors of q?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 106*j - 104*j = 5*m - 4*m - 64, -3*m - j + 50 = -5*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57065 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 7 - 153. Put z, -4, -2 in decreasing order.\nAnswer: -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -12, -22*z = -12*l + 9*l - 4474127. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let v(d) = d + 43. Let w(k) = k**2 + k - 10. Let p be w(3). Let q(c) = 4*c + 130. Let f(n) = p*q(n) - 7*v(n). What is g(f(z))?\nAnswer: -z + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/7)\/((-18)\/1098).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/180 - g**4\/8 - 2*g**3\/3 - 1. Let s(r) be the third derivative of j(r). What is the first derivative of s(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/14*(-4 - 14\/(-4)). Put z, -0.1, 0.3 in increasing order.\nAnswer: -0.1, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -38. Suppose 4*r + w + 34 = 0, -14*r - 4*w = -15*r - l. Let p(u) be the first derivative of u**4\/4 + 8*u**3\/3 - 4*u**2 + 12*u - 1. Give p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 3, j: 2, x: 3, s: 1, a: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -2\/3, -19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) + (-77)\/(-35). Let q(a) = 4*a**2 + o*a**2 + 0*a**3 - 3*a + a**3 + 9*a. Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -n + 568. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/7 + 18014*p**3\/7 - 1929960*p**2\/7 + 9898848*p - 830383488\/7 = 0.\nAnswer: 36, 8899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3494 - -10256. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 8*q = 296. Let l = 148 - q. Suppose 3*h + t - 1104 = l, 1844 = 5*h + 4*t - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227307260 to the nearest one hundred thousand.\nAnswer: -227300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -155d (base 14) to base 12\nAnswer: -2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 2. Let b(z) = z + 2. Let v be b(k). Suppose -3 = -v*c + 5. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 312987\/5*d - 33698267\/5 + 1\/5*d**3 - 969\/5*d**2.\nAnswer: (d - 323)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369101947 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2138 divided by -1846\nAnswer: -1069\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 298, 1270, 2932, 5320, 8470, 12418, 17200?\n\"Answer: 6*z**3 + 309*z**2 + 3*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*r**3 - 159*r**3 - 184*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-6*b + 5*b + 3*b) + (22 + 37 - 20)*(-7*b + 0*b - 2*b).\nAnswer: -353*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -741925, -2967692, -6677303, -11870752, -18548033, -26709140, -36354067, -47482808?\n\"Answer: r**3 - 741928*r**2 + 10*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 22*b**3 + 8*b**2 - 19*b + 72. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5332755478509 + -42.\nAnswer: -5332755478551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {u: 1, g: 7, w: 2}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0612 + 4.9388. Which is the fourth smallest value? (a) 0.5 (b) l (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.151198 rounded to 1 decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzz when three letters picked without replacement from {i: 2, g: 2, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by -2234\nAnswer: -103\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 - 6*t - 6. Let b(h) = -h**3 + 10*h**2 + 12*h - 5. Let y be b(11). Calculate l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*c + 5*t - 77, -5*c = -2*t - 204. Let s = c - 0. What is the highest common factor of 100 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*-4*sqrt(75))**2.\nAnswer: 160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {i: 3, o: 1, p: 6, t: 4, s: 2, y: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88, -516, -1600, -3646, -6960, -11848, -18616?\n\"Answer: -51*l**3 - 22*l**2 - 5*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-474)\/42 - -9 - 2\/6. Which is smaller: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5 = -w - 5*h, w - 3 = 3*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q**2 + 2*q**2)*(2*q + 0*q + 0*q) + 7*q**3 + 9*q**3 - q**3 + (0*q + q - 3*q)*(2*q**2 - 3 + 3).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01634 and 1389148511.7?\nAnswer: 1389148511.71634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = 170 - 146 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2 - 8607224*r + 43036095 = 0.\nAnswer: 5, 8607219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -324 - -326. Solve -y*q + 4*q + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = -2*g + 2, 5*b = g - 3. What are the prime factors of (b - 806)*(0 + -5)\/5?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 + 5*i. Let a be t(-5). Let q = -311 - -314. Let s = 5 - 1. Solve -s*l + q*l + 3 = a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942507923?\nAnswer: 3, 647502641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511 - 113. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 29. Let j be f(-9). Suppose 5*k = c + 3*k - 11, 5*c = j*k + 71. Calculate the smallest common multiple of c and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 168\/40 - 16\/4. Let s = -1.042 - -0.042. What is the closest to j in -2\/3, s, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622536126*f + 622536126*f - 244*f**2.\nAnswer: -244*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 + -1)) + 0 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assiayssaa. What is prob of sequence isa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 = -11*z - 466 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/315*28*((-35)\/238)\/1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*b*l - 2*a*b*o + 899*a*o + 2*b*l + b*o + 38*l + 19*o with respect to a.\nAnswer: 6*b*l - 2*b*o + 899*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3888 divided by -108\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1348.787419 - 0.1.\nAnswer: 1348.687419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 204892*r**3 + 234398?\nAnswer: 614676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111000010 + 100?\nAnswer: -1000110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 97, 2, -2, 5 in increasing order.\nAnswer: -71, -2, 2, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-9))*u)**(-19)*((u**(-1)\/u)\/u)**25 assuming u is positive.\nAnswer: u**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1094958982*x**4 + 395331856*x.\nAnswer: -13139507784*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, j: 1, q: 3}. Give prob of sequence qbj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 16. Suppose -h + 18 + 42 = 5*f, -2*h = k*f - 54. Let j(z) = -z**2 + 38*z - 97. Calculate the least common multiple of f and j(35).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose 4*b = -2*x + 78, -l*x + 6*x = 20. Let p = -108 + 157. What is the remainder when p is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 164648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/7 - 20584*g**2 - 41167*g + 432258\/7 = 0. Calculate g.\nAnswer: -144086, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-2) - 1) + 36. Suppose 2*d = 19 - r. Let w(g) = -g**2 - 15*g + 8. Is w(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 5*h**2 + 20*h - 5. Let c(v) = -4*v**3 + 6*v**2 + 19*v - 6. Let d(z) = -5*c(z) + 6*m(z). Find the second derivative of d(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1155\nAnswer: -577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) 0.16 (c) 18 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/7 + 599\/(-112) and ((-2)\/(-4))\/(3\/((-171)\/12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 19, 13?\n\"Answer: -6*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (2 - (5 + -11 + 7 - -7))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(2*sqrt(8)) + sqrt(168)\/sqrt(3))\/(sqrt(448)\/sqrt(4)*6))**2.\nAnswer: 25\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2. Let f(r) = 3. Let a(l) = 5*f(l) + 7*m(l). Let x(w) = -w - 5. What is -3*a(k) - x(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let r(m) be the first derivative of -m**2 + 2*m + 2. Let h be r(3). Sort h, q, 1 in descending order.\nAnswer: 1, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -107. Let c(v) = -9*v - 8. Let b be c(-6). Suppose 2*u = 2*r - 0*u - b, -5*r = -4*u - m. Calculate the greatest common factor of r and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -31*b**2 + 2\/3*b**3 + 0 + 0*b + 0*b**4 - 1\/15*b**5. Factor p(t).\nAnswer: -4*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 + -121. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532425 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(75) + sqrt(75) + 2 - (sqrt(75)*-2*1 - sqrt(75))*5)**2 + 2.\nAnswer: 850*sqrt(3) + 21702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -2.86. Let a = y + 0.95. Which is smaller: a or -0.022?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z. Let g(f) = 24*f. Give u(g(a)).\nAnswer: -216*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhicixxcxctxczixxh. What is prob of picking 2 i, 1 h, and 1 t?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-3))\/3*0. Suppose g = 5*b - 12 - 3. Suppose 0 = 2*m - b*m - 5. Sort m, -1\/8, 1 in decreasing order.\nAnswer: 1, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 830*w\/11 + 19500\/11.\nAnswer: 2*(w - 390)*(w - 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 - (1 + (-2 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(3 + 4*(-6*1*sqrt(343) + 2)))*-6.\nAnswer: -414 + 6048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19624508251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 3970 = -57710. What are the prime factors of a?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016538761 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1372 - -1422. Suppose -y - 175 = -4*d, 3*y = d - 0*y - 30. Calculate the lowest common multiple of d and a.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24612495461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) + (-938)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/20 + 9*p**4\/4 + 7*p**3 - 27*p**2 + 5*p + 12. List the prime factors of c(-24).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6))**(2\/7) assuming l is positive.\nAnswer: l**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2740.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/6*(-12)\/8. Let c be 0\/k + -289997 + -3. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -637217 or -5734949\/9?\nAnswer: -5734949\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 28, 2, 0, -3, -4 in descending order.\nAnswer: 28, 2, 0, -3, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4150*v. Let p(s) = 148*s + 10. What is p(b(d))?\nAnswer: 614200*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8 = 0, -4*g - 27 = 4*r + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 2*t - 3. Let q be g(4). Let v = -49 + q. Suppose -3*x + v*x = 2*x. Solve 4*a + x*a = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -133. What is the smallest common multiple of 9 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 2*y)*(-365*y**3 + 31220*y**2 - 31220*y**2).\nAnswer: 365*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*a**2*m**2*x + 14*a**2*m*x - 187*a**2*x - 4*a*m**2*x - 762104*a*m**2 wrt a?\nAnswer: 624*m**2*x + 28*m*x - 374*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-66)\/(-99))\/((-42)\/9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 112\/4 - 2. Let d = 28 - y. Suppose -2*l - 5*h + 130 = 0, -2*h - 130 = l - d*l. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 60, 59, 56, 51, 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 + 4*o**2 + 3*o + 4. Let i be f(4). Let g = 405 + i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v - 37*v - 1284 = -66*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/14 + 10\/4. Suppose t + 20 = n, -6*t + t = b*n - 26. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - 9. Suppose 2*k - 2*g = n*g, k - g = 0. Suppose k = 2*x + 5*r - 15, -3*x + 0*x + r = -14. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68264 + 1428422\/21. Let l = 244 + a. Which is bigger: l or -0.05?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 63, 60, 41, 0, -69, -172, -315?\n\"Answer: -v**3 + v**2 + 11*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 49*o - 21*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30.4 * 0.67\nAnswer: 20.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 + 3*s + 15. Suppose -y + 3*n + 17 = 0, 2*y - 1770 + 1813 = -5*n. Give i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 0*r**2 + 17\/6*r**3 - 136*r. Let m(w) = 4*w - 5*w - 2*w. Calculate m(z(v)).\nAnswer: -51*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 274.68\nAnswer: 2.7468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11130123 (base 4) to base 11\nAnswer: -15832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 times -1422283\nAnswer: -91026112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16932*n**4*o - 3*n**3*o + 5*n**3 + 550*n**2*o - 2*n**2 + 3*n - o wrt n.\nAnswer: -406368*n*o - 18*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56849.09 millennia in decades?\nAnswer: 5684909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = -v - 17, -v = -3*d - 14. Let l = 0 - 1. Put v, 1, l in ascending order.\nAnswer: l, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*28*(-36)\/40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 3.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70238031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8984665.6+-3\nAnswer: 8984662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.3, -2645\/6804?\nAnswer: -2645\/6804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -89*f**2 - 9 - 9*f - 94*f**2 + 182*f**2. What is m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = -20. Suppose 0 = 3*w + w + 5*p - 208, -3*w = 5*p - 161. Suppose 55 = 2*x + x + 2*v, u*x + 4*v - w = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7367508*f**3 - 2*f**2 - 283259805.\nAnswer: -22102524*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4 + 138\/33). Suppose 5*w - i = 3*j - 0*w, -w = -2*j - 15. Let d be (-2)\/(-3) + j\/(-9). Sort d, -0.2, -5, -3\/8 in increasing order.\nAnswer: -5, -3\/8, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222*g - 180*g - 28*g**3 + 121*g**3 wrt g.\nAnswer: 558*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871639?\nAnswer: 871639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 i when four letters picked without replacement from {q: 13, i: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122739 greater than or equal to 5122732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 415 = -5*u, -5*u = -l + 107. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d. Let l be i(-5). Let o = 86\/3 + -85\/3. Which is the nearest to o? (a) -3 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 3. Let g be b(-2). Let d = -678 - -685. Calculate the highest common divisor of d and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1) + (7 - 2). Let h be (-5 - 0)*4\/c. Let l = 1 - h. Let g(w) = 3*w**3 + 9*w + 5. Let n(x) = 5*x**3 + 14*x + 8. What is l*n(z) - 8*g(z)?\nAnswer: z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 - 5. Let f = g + -1.5. Which is smaller: -1\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2 + 4 + 2)*(-1 + 1 - p**3).\nAnswer: p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 + 1 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 2*p + p. Let a = p - 29. Which is bigger: a or -4\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -72. Suppose 5*h = -z*l + 24, 3*l - 5*h + 10 = -2*l. Is 7\/4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100201220222 - 1?\nAnswer: 22100201220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118986 is divided by 2286?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 902725267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374842412 by 3.\nAnswer: 374842412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 - 1236*x + 4395. Calculate g(-181).\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 8. Let x be r(-6). Suppose -p - a + 6*a - x = 0, 0 = 5*p + 4*a - 7. Let w be (-1)\/((-9)\/5 - -2). Sort 0, p, w in ascending order.\nAnswer: w, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 87*w - 49. Let a(q) = q + 5. Let y(r) = 28*a(r) - 4*m(r). Differentiate y(b) with respect to b.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5830 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1031, 10406, 5, -2 in descending order.\nAnswer: 10406, 5, -2, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -45028.7026 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*t = 3 + 8, t + 9 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 649.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3540 - -3538. Which is the second smallest value? (a) -1\/7 (b) y (c) 381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80262, -321425, -723476, -1286409, -2010218, -2894897, -3940440, -5146841?\nAnswer: -6514094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 24*d**2 + 30*d - 28. Let c be o(23). Suppose 139*k = c*k + 702. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 75 = -3*j + 55, 2*m - 30 = 2*j - 22 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:11 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in 6, 5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18 - 1365\/(-75) - (2 + -1). Let p be ((-2)\/8)\/((-3)\/4). Which is the closest to 0? (a) p (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let h be g(-9). Let j be h\/(-18)*2\/3. Factor 1\/3*w + 1\/3 - j*w**2 - 1\/3*w**3.\nAnswer: -(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(((-25)\/(-10))\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/185 and -3 - (((-136)\/18)\/4 + 2)?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, -14, 8 in descending order.\nAnswer: 8, 4, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2f86c?\nAnswer: -2f871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112349 is divided by 298.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.81 - -55. Let h = 0.006 + i. What is h rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 9*f + 68. Does 4 divide l(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 5*d + 28. Let m(y) = -2*y**2 - 7*y - 42. Let b(c) = -5*m(c) - 8*x(c). Calculate the remainder when 74 is divided by b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/20 + 10*b**2 - 9*b. Let u(t) = 21*t. Calculate u(m(j)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-4)*-11 - -11. Sort -1\/8, 2\/15, -8, v, 1 in decreasing order.\nAnswer: 1, 2\/15, v, -1\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -2. Let o be b\/(2 + -3 + 0). Let a be (-1)\/o + (-145)\/(-20). What is the greatest common divisor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*c + 222 + 68 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 216\/11 (c) -0.099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 9. Let p be k(-7). Suppose 2*j = 4*r - 10, j = 9*r - 4*r - p. Solve l + r*l + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4275314430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0367 - 423?\nAnswer: -422.9633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 + v**2 - 3*v - 15. Let x(d) = -3*d**3 + d**2 - d - 7. Let q(g) = -4*j(g) + 9*x(g). Let y be q(-4). Put y, 2, 4 in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -3 + 298\/(-184). Let n = h - 3\/23. Let y = -5 - -5.2. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwmh when four letters picked without replacement from wmhwwmmhhhhmhhmw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + 40978\/70. Let x(h) = -h**3 - b*h**2 + 6 + 288*h**2 + 290*h**2 - 6*h. Let o(d) = 2*d + 2. Let f be o(-4). Determine x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9849 less than or equal to 9825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6*o + 3*o + 51, -o = -4*k + 34. Suppose -b + 20 = -4*l, 5*b - k = 2*l + 1. Solve b = -g - 0*g - 3*i + 8, -5*g + 2*i = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010082 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) + 27\/4. Suppose 2*n = -4*d + 18, -4*d - 2*n + r = -2*d. Suppose -124 = -4*g + 4*a, d*a - 148 = -4*g + 2*a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 73628 and 73619 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erneneereee. Give prob of sequence eenn.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 218*k**2 - 5*k + 29. Let z(f) = 219*f**2 - 6*f + 39. Give -4*l(w) + 3*z(w).\nAnswer: -215*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/(-9))\/((-595)\/3060). Let s(n) = -n**3 - 5*n**2 + 5*n - 2. Let d be s(-6). What is the greatest common factor of t and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x, 3*x = -2*j - 0*x - 269. Let i = j - -205. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -2*d**5\/5 - 45*d**4\/2 - 182*d**3 + 145*d**2 + 3775*d. Let g(i) = 0. Calculate i.\nAnswer: -29, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.078 (c) -2\/13 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59 - -0.1\nAnswer: -58.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from fnhxnxkknhxhnxhffkn?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 147, -0.2, -0.1, -0.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(4\/((-8)\/(-3))). Let b = f + 6. Suppose 0 = -k + 2 + b. Solve -6 - k = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 5*g**3 + 2*g**3)*(5 + 0 - 2 + (1 + 0 + 0)*(-1 + 3 - 4) + 4 + 2 - 5).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24663, -98357, -221101, -392901, -613763, -883693, -1202697?\nAnswer: -1570781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - c**4 - 2*c**3 + c**4 - 17*c**4 + 4*c**4 - 3*c**4 + 4*c**4 + c**4 + (4 - 4 + 2*c**3)*(2*c + c - 2*c) + c**4 - 4*c**4 + 2*c**4.\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1428 + -603. Calculate the greatest common factor of n and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 42.5914?\nAnswer: -42.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1382 - -1551. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, -2, 0.005, -1\/3, -4\/13 in descending order.\nAnswer: 0.005, -4\/13, -1\/3, -2, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -711 (base 11) to base 8.\nAnswer: -1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 + 4*h + 6. Suppose -r = -2*r - 5. Is t(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jjbjjjjbbbjbj.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*c + 2280 - 2288, 15*r = 30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(171)*5 - 5*sqrt(171)*1.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150984.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 - 83*g + 85*g - 7*g**3 + 13*g**2 + (30*g - 162*g - 26*g)*(2*g - g + 0*g)*(0*g + 0*g - 3*g) to the form x + v*g**3 + q*g + j*g**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = t + 4*a - 32, 10 = 2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(8 - 0)*66?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 1045*r**2\/2 - 192. Let f(q) = q. Calculate f(h(t)).\nAnswer: 1045*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = -2*o. Let x = 35 - 31. Let r(g) = 93 + x*g + 96 - 188. Let b(z) = z. Calculate o*r(s) + 6*b(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 424 = -656. Let m be u*(24\/9 - 2). Suppose 0 = 3*p - q - 3*q - 20, -4*p - 3*q = -60. What is the highest common factor of m and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 595. Let k = -191 - p. Let m = 193 + k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 551*n + 42*n - 4578 + 1613 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9968+19428\nAnswer: 29396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -270*(-57)\/632700*3*30\/27?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*l - 49, 3*j = 7*l - 2*l - 43. Let z = j + 5. Let t(w) be the first derivative of -w**3\/3 - 9*w**2\/2 - 8*w - 678. What is t(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109121350 by -65.\nAnswer: 1678790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3602, 14221, 31874, 56561, 88282, 127037?\n\"Answer: 3517*x**2 + 68*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/125 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33.2, 0.1, -5, 0.3, 3.\nAnswer: -5, 0.1, 0.3, 3, 33.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 4*a + 7*a - a + 4*a - 2*a - 3*a + a + 3*a + (4 - 3 - 3)*(4*a - 5*a + 0*a) + 188*a + 234*a - 476*a to the form d*a + s and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157.4 + -8817.\nAnswer: -8974.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11551114 (base 6) to base 8.\nAnswer: -1326766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67664*d**2 - d - 1181878 with respect to d.\nAnswer: 135328*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -447\/142 (b) 60 (c) -2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5548 - 5544. What is the remainder when 48 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 17*m**2 - 30*m + 5. Let i be x(15). Solve -15 - i = 4*r, -3*r - 3 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*t - 715*t - 106*t - 140*t - 97*t in the form g + d*t and give d.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 4. Let s be c(0). Suppose -4*w - 2*u = -7*u - 77, 4*w - 67 = -5*u. Factor 4*d**3 + w*d**2 - s*d**4 + 0*d**4 - 10*d**2.\nAnswer: -4*d**2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -60. Let k be ((-10)\/f)\/(1\/(-9)). Suppose 10 = -v - k*u, 7 + 3 = v - 2*u. Solve 0 = -4*x + 4*a - v*a + 20, x = -a + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00476345 to five decimal places.\nAnswer: -0.00476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -19 + 24\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-70) + (-3)\/(-15). Let v be 7*-2*3\/6. Let o be (-1 + 0)\/(v\/21). Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqqqqqwwwqqqwww. Give prob of sequence wqwq.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:21 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2049756)\/(-12) - (6 + -16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10451.95061 and -47.49.\nAnswer: 10404.46061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.58 + 10.28. Let k = b - -61. Let f = -8.9 + k. What is f rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010389 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**(-6\/11)*((l*l**(1\/9))\/l)\/l*l**(-1\/2) assuming l is positive.\nAnswer: l**(-1699\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g = 20. Sort 5, -2, g.\nAnswer: g, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let d be (-2 + 7\/w)*30. Is d\/35 - (-514)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -170, 0.2.\nAnswer: -170, -6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 612 - 2*h**2 - 518*h - 221*h + 321*h - 192 + 0*h**2.\nAnswer: -2*(h - 1)*(h + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*a + 0)*(251 - 105 + 254).\nAnswer: 3200*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.2, -12.5, 56\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5946 divided by -2\nAnswer: -2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-20)*(-12775)\/10. Let r = 640 + n. Determine a so that -r*a**3 + 5\/2*a**2 + 5 + 35\/4*a = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)\/a)\/a**(-1))\/((a\/a**(1\/3))\/a)**(-6\/5) assuming a is positive.\nAnswer: a**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 32097.913\nAnswer: -1925.87478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 10. Let t(c) = -3*c - 30. Let q(x) = -8*j(x) + 3*t(x). Let b be q(-5). Let s = -3 - b. Solve 0*l - s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/10)\/(9*(-3)\/(-12)))\/((-1146)\/(-955))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2095 + -0.0305. Which is the nearest to 2\/7? (a) -5 (b) w (c) 2\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69568*-5\nAnswer: -347840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31992*c**3*k + 36*c**3 - 594*c**2 + 95*c*k + 16*c wrt c?\nAnswer: -191952*k + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1398 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 21 = -5*a, 701154*a = 4*o - 0*o + 701156*a + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27690\/(-12922))\/(((-18)\/147)\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-3)\/9*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 24*d**2 - 52*d + 2. Let p be f(26). What is k in 0 - 15\/2*k**4 - 3*k**3 + 0*k + 0*k**p = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5152 divided by 4?\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**8\/168 - 257*r**6\/30 + 399*r**4\/8 + 336*r**2. Find the second derivative of k(c) wrt c.\nAnswer: 40*c**3 - 6168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247363 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let m(y) be the first derivative of y**6\/360 - 2*y**3\/3 + 2. Let h(o) be the third derivative of m(o). Give j(h(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3688647 to the nearest 10000.\nAnswer: -3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -242461836 divided by 36\nAnswer: -6735051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003251 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 4*x + 11. Let v be n(2). Solve 0 = 3*g + v, -m + 2*g = -4*m - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -89?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -6.\nAnswer: -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 4\/15*v**4 - 2\/35*v**7 + 0 + 2\/75*v**6 - 3*v + 0*v**2 + 8\/25*v**5 + 0*v**3. Suppose u(d) = 0. Calculate d.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/29))**(-25)*(o**(-2\/31))**(-1\/20) assuming o is positive.\nAnswer: o**(-15471\/8990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = v + 34, 0*v - 19 = v - w. Let y be v\/(-8) - 7\/(28\/3). Let l = 3 + -6. Which is bigger: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6)\/(9\/((-3816)\/5528) - -13).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 4*s)*((-1 - s + 1)*(s - 1 + 1) - s**2 + 0*s**2 + 3*s**2) + 0*s + s**3 + 0*s + (5*s**3 + 0*s**3 - 3*s**3)*(0 - 1 + 3).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let p be w(1). Let d be (30\/(-6))\/(-1 - p). Put 4, d, -2 in ascending order.\nAnswer: -2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 121*h\/3 - 238\/3.\nAnswer: -(h + 2)*(h + 119)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 11. Let q(i) be the second derivative of -i**4\/24 + 5*i**3\/6 + i**2 - i. Let s(v) be the first derivative of q(v). Give s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 7*d = 4592. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*z + 793*z + 19*g = -1122, -5*g - 290 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) 0 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 7*p**3 + 9*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-1730)\/9100 + 47\/470.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213102230 (base 4) in base 11?\nAnswer: -aaa0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12304992 to the power of 1\/2, to the nearest integer?\nAnswer: 3508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 228568*p**3 - 228567*p**3 + 68 - 3*p**2 + 2*p + 2*p**4 - 105 as h*p + s*p**3 + k + a*p**2 + n*p**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 102. Solve -b = -3 + i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 5315544035?\nAnswer: 5315544044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -2*q. Does 6 divide (29 - (0 + q)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2) + (-4)\/8. Let v = 0 + -1. Suppose -2*w = 3*a, 4*w + 3*a = 4 + 2. Sort v, w, u in increasing order.\nAnswer: v, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (4 - 8) - -6. Suppose -4*y - 4*a + 752 = 0, -i*y - 101 = -2*a - 481. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024103 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7273 + 1635*f - 3388*f + 1752*f)*(-4*f + 4*f + f) as h*f**2 + w*f + s and give w.\nAnswer: -7273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7226 times -22\nAnswer: 158972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 68*w - 145. Determine r(36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -5) + -10 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(280))\/sqrt(8))\/(sqrt(60)\/(sqrt(120)\/sqrt(10))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4590 divided by 18.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99\/5 + 1\/5 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*l**3 + 595*l**2 - 1000*l + 140.\nAnswer: -5*(l - 7)*(l - 2)*(13*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573 + 605. What is the common denominator of -53\/22 and ((-296)\/l - -10)\/((-102)\/388)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 5*f**3 - 2*f**3 + 0*f**2 - f**4 - 48 + 41 + 25*f - f**3 as g + l*f + u*f**3 + r*f**4 + j*f**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/54)\/((-2)\/(-9)). Let r(u) = -18*u**m - 17*u**2 + 28*u**2. Let d(n) = 5 - 3*n**2 - 5. Determine r(d(q)).\nAnswer: -63*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -27*j + 31*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*1 + 3 - -5. Suppose 4*r = -o + 18. Suppose -r*m + 63 = -57. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2137, 8599, 19393, 34525, 54001, 77827?\nAnswer: 106009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (69\/230)\/((-3)\/(-8)). Sort c, -2, -2\/3 in decreasing order.\nAnswer: c, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15446874.\nAnswer: 2, 3, 113, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3. Let g = 8879 - 8882. Let h(u) = 2*u**3. Let n = 8 - 13. Determine g*h(t) + n*s(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -4 (c) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380 + -383. Sort 1, 5\/4, s, -2 in ascending order.\nAnswer: s, -2, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = o + 2*b, 15 = -5*b. Suppose 143 = o*v + 93. Solve -z + 5*z = -3*g + 6, 5*g = -5*z + v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78773.54ml in litres?\nAnswer: 78.77354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7889509*d**3*v - 6*d*v - 424*d - 115*v wrt d.\nAnswer: -47337054*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.092 - 4.908. Let a be (1\/2)\/((-1)\/(-2)). Let z = a + -2. What is the second biggest value in v, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49281569 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -5*i - 26*i + 2505 - 1009 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/39, -95.91, -0.4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44.5 - 0.165729544\nAnswer: 44.334270456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 + -5302?\nAnswer: -5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339379814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4\/5 (b) -10 (c) -1\/5 (d) -2 (e) 0.03 (f) 1085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3166*i + 0 + 3165*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1\/6, 26\/3, 0.04, -4, 2\/5 in ascending order.\nAnswer: -66, -4, -1\/6, 0.04, 2\/5, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by ((-4)\/(-1 - -9))\/(1*1\/(-186)).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 - 77. Let a be n\/312 - ((-11)\/13 - 1). Let b(x) = x**3 - 4*x**2 - 1. Let t be b(4). Put -2, t, -4, a in decreasing order.\nAnswer: a, t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11297120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*j + 89*j + 6 - j**3 in the form z*j**2 + n + f*j**3 + p*j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089651?\nAnswer: 3, 363217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146143*f**5 + 3*f**2 + 4*f + 5115 wrt f.\nAnswer: 8768580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 4*c + c + 9*c**3 + 3*c.\nAnswer: 3*c**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.3 (c) 1\/8 (d) 2\/3 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104429093691849 - -104429094948167.74400003. Let p = t + -1256311.744. Let b = p - 7. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 9 = -5. Let x = 2 + -1.5. Let m = -5\/18 + 29\/72. Sort x, t, m in decreasing order.\nAnswer: x, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1915 + -1833. Calculate the greatest common divisor of 16 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, -32\/25, 1?\nAnswer: -32\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 523*g - 345. What is the remainder when 2898 is divided by k(74)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-21)*294\/63. Find the third derivative of 33*d**z + 7*d**3 - 2 - 2*d**4 - 88*d**2 - 14*d**3 wrt d.\nAnswer: -48*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 34*c - 33 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**(-4\/11)*w**2\/(w\/((w\/w**5)\/w)))\/((w\/(w*w**(1\/3)\/w*w))**(-6\/35)\/(w**(-1\/4)*w**4)) assuming w is positive.\nAnswer: w**(-613\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1047 divided by -6\nAnswer: -349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-5)\/((-5)\/(-3)). Let m = 3 + v. Suppose 60 = 5*c - m*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4850583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) - 24\/(-45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 142 = 29*n + 8. Let h(f) = 2*f**2 + 5*f - 3. Let t(m) = m**2 + 4*m - 2. Let d be 3\/6*(7 - 1). Determine d*t(z) + n*h(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + 4 + -6 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i - 144. Suppose -m - 34 + 20 = 0. Let l be z(m). Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let q(c) be the second derivative of -11*c**4\/12 + 13*c. Determine v(q(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, 4\/9, 3, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. What is the derivative of h**2 - 2*h**2 + r + 1 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + t + 4, -2*t + 109 - 117 = 0. Suppose 0 = -5*h + 20, q - h + 74 = 3*q. Solve -3*u = 5*r - f*u - q, r + 3*u = 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*12\/(-45)*215\/(-86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2cc (base 15) to base 3\nAnswer: 212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 27*q**2 + 697*q - 30. What is f(-26)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-3 - 1 - 3)*(2*g - 2*g + 2*g).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 118 = 146. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, 2453, 4, -9?\nAnswer: 2453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 659038*w*z + 30*w - 55371*z + 603 wrt w?\nAnswer: 659038*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93886*g*v*x - 319*g - 27*x wrt v?\nAnswer: -93886*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -a300?\nAnswer: a301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 6 + 14*k + 1.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287 - 215. What is the smallest common multiple of d and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12813*c**3*n + c**3 + 72*c**2 + c*n - 27*c + 2*n wrt c?\nAnswer: -76878*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from nqquntunnpun?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 24 = 5*w, -m - 6 = -5*w + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 1. Suppose -2*b - 3 = b. Let f be (30\/(-24))\/(b\/(-4)). Let k(t) = -9*t + 2. Let q(r) = f*z(r) - 3*k(r). Differentiate q(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/17)\/u))\/u**(-7))**(5\/3)*(u**(-1\/17)\/(u\/((u*u\/u**10)\/u)))**(9\/4) assuming u is positive.\nAnswer: u**(-619\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:25 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 165*g\/2.\nAnswer: -3*g*(g + 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188680631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56724496 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078737?\nAnswer: 1117, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s - 0*s. Let p(o) be the third derivative of -o**4\/12 - 3*o**3\/2 + 4*o**2. Calculate the least common multiple of s and p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 5 = -16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:58 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3 - 3*b**2 - 25. Let i(m) = 3*m**2 + 7*m. Give -6*i(y) - 7*n(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4546057ns?\nAnswer: 0.0000004546057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12690*h*l*t**2 - 12533*h - 14*l**2*t**2 + 112*l**2 wrt t?\nAnswer: -25380*h*l*t - 28*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w - 124. Let a be b(-13). Suppose -a*o = -8907 - 16469. What are the prime factors of o?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -5*r, -2*h = 2*h - 4*r. Let u be (-59)\/((-2)\/h - 2). Suppose -4*w = -u + 3. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.15, -4 in descending order.\nAnswer: 14, 0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8\/104*25937 - 4*(-2)\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2521063 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/15 + 365756*v**2\/15 + 21572642*v\/15 = 0. What is v?\nAnswer: -182819, -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**3 - 27*l**3 - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394569, -3156528, -10653277, -25252212, -49320729, -85226224, -135336093, -202017732?\nAnswer: -287638537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 + 114184*a**2 + 684996*a + 1027440 = 0. What is a?\nAnswer: -28540, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -107505*11\nAnswer: -1182555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 103 + 159 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(35\/(-20) - -2). Suppose 0 = 50*j - q*j. Suppose 23 = 5*p + 2*b + 193, j = 2*b + 10. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -141. Which is the nearest to 0? (a) 2 (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -26. Suppose -4*w + 21 - 9 = 0. Solve -2*b = w*b - o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 7*t**3 - 3*t**3 + 100 - 14*t**7 + 37*t**3. What is the third derivative of w(i) wrt i?\nAnswer: -11760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 539*w + 2. Let x be y(-1). Suppose 3293 = 4*a - 5*o, 0*a + 2*o = -2*a + 1624. Let r = a + x. Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23977.72 litres to millilitres.\nAnswer: 23977720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 238 (base 12) to base 14\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216111 is divided by 71412?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + i**2 - 2*i**2. Let d(z) be the second derivative of z**3\/6 + 6*z. Calculate d(w(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010101 (base 2) in base 7?\nAnswer: -6135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 61*l**3 - l**2 - 28*l + 47. What is w(2)?\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/29, 0.076, -9?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**3 + 11*u**2 + 9*u - 11. Let o(y) = 9*y**3 + 6*y**2 + 5*y - 6. Let n be ((-154)\/(-21))\/(91\/(-39) + 3). Calculate n*o(i) - 6*b(i).\nAnswer: -3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**4 - 1502*i**3 + 4*i + 1499*i**3 - 4 - 23*i**4 in the form b + f*i**4 + p*i**2 + j*i + d*i**3 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 2*p**2 - 2*p - 3. What is k(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 169\/((-6)\/(-2) + 3*55\/(-66)). Calculate the greatest common factor of z and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**28*p)\/(p\/(p\/p**(1\/2))) assuming p is positive.\nAnswer: p**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, q: 2, h: 5}. Give prob of sequence qzzq.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-510)*-17 + 800\/(-125) + 1624\/270.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:28 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124\/3 - -41. Let s = 712 - 709. Suppose -c + 3*x + 8 = s*c, 0 = c - x - 2. Sort 2\/3, o, -0.4, c in descending order.\nAnswer: c, 2\/3, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*g + 10 = 0, 0*k = k - 5*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6347702 and 20254.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -v + 6*v - 21543, 2 = -f. Let y = 1239 - v. What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 32251?\nAnswer: 32250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r - 8. Let f(o) = 3*o**3 - 3*o + 22. Let x(v) = 11*c(v) + 4*f(v). Determine x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(225)\/sqrt(5).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 8. Let s(h) = -4*h + 10. Let v(o) = -3*o + 11. Let q(m) = 5*s(m) - 6*v(m). Let i(u) = 9*n(u) - 4*q(u). Calculate i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -108 + h + 108. Suppose -5*r - 22 = 2*c - r, -4*c = -2*r + 4. Give m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477608230 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14897 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + 8 + 94 + 2\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 20*n - 25. Let k be m(-18). Suppose 3 = 2*g - 1. Suppose -2*q - 5*i - k = 0, g*q - 4*q + 29 = -3*i. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) + 2\/6. Suppose 2*a + 5 = -i. Is 4\/(-6) + (-287)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3492 + 5030. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 744\/7 - 106. Sort 3, -1\/6, m, -0.5.\nAnswer: -0.5, -1\/6, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9*o**2 - 8*o + 11. Let i be s(8). Let c = -1237.5 - -1238. Sort c, i, 1\/3, 2\/7 in descending order.\nAnswer: i, c, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/30 + u**4\/12 - 7*u**2. Factor f(a).\nAnswer: -2*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-95) - 144\/(-1368)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -34646?\nAnswer: -20\/17323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847))*3.\nAnswer: 9 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109771788 and 2142?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 68*o**2 - 129*o - 599. Give n(70).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -22.4\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 7) in base 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/120 - 11*m**5\/60 - 11*m**4\/24 - 11*m**3\/6 + m**2. Let g be n(12). Differentiate g - 2*l**3 - 6*l + 3*l + 3*l wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.518 - -0.801. Is 1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16093150*k**2. Let r(v) = 6*v**2. What is r(a(l))?\nAnswer: 1553936861535000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-846)\/81 - -10)\/(-4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -81, -199, -375, -615, -925, -1311, -1779?\n\"Answer: -t**3 - 20*t**2 + t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10*z - 30. Suppose -z = -3*v + 3*t, v - t + 4 = 3*v. Let y(i) = -i - v*i + 0*i. Let u(q) = 3*q**2. Give u(y(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1597661.415us to weeks.\nAnswer: 0.0000026416359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:16 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/41 + 375\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 176?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*j**3 - f**3 + 7208*f**2*j**3 - 24206*j**2 wrt j.\nAnswer: -12*f**3 + 43248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94184 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-10)*8\/32*4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39838138 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 12) to base 16\nAnswer: e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18169007 is divided by 624.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:24 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -38, -81, -150?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84170 and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-9)\/(-2)*8\/(-12). Let t(b) be the third derivative of 0*b**4 + q + 1\/2*b**3 - 2*b**2 + 1\/60*b**6 + 0*b**5 + 0*b. Differentiate t(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 951 + -937. Suppose 0*j = 4*j - 316. What is the remainder when j is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(162))**2 + ((4 + sqrt(162))*6)**2 + 6*(-4*(sqrt(162)*-2)**2 + -2 + -2 + sqrt(162) + sqrt(162)).\nAnswer: -8987 + 2772*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.583 and -2?\nAnswer: 1.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*y + 73*y - 9*y to the form z + x*y and give x.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 36, 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-1 - -5)) + 0. Let h(j) = -2 + 0 - 4 + 2 + 2*j. What is h(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/168734 and -59\/478.\nAnswer: 168734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 + 42829*w\/2 + 42831 = 0.\nAnswer: -2, 42831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -795, -1589, -2383, -3177, -3971, -4765?\nAnswer: -5559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94824.36 centuries in months?\nAnswer: 113789232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2359 + 4935. What is the remainder when t is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38811585 divided by 5\nAnswer: 7762317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.39941 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:17 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4791 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**2 - 2 - 2 + 2)*(0*x - x + 4*x).\nAnswer: -27*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 take away 22.97986?\nAnswer: -361.97986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023223 (base 4) to base 5.\nAnswer: -241224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 7)*(-18*p**2 + 49*p**2 + p - 19*p**2).\nAnswer: -168*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583396333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15477713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -47*a - 5. Let f be (7\/(-2))\/((-5)\/(-10)). Let t be y(f). Suppose 2*r + 1274 = 4*b, -b - 2*r + t = 3*r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/8 + 65*l**2\/4 + 318*l = 0.\nAnswer: -106, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421885779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3b7c (base 16) to base 11\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7586, -7519, -7458, -7403, -7354, -7311?\n\"Answer: -3*c**2 + 76*c - 7659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 613748*s**4 + 10*s**3 - s**2*x - 57193*s + 220*x - 1 wrt s.\nAnswer: 7364976*s**2 + 60*s - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 + q + 2. Let l be t(3). Let r = -42 + 63. Calculate the highest common factor of l and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)\/((w**(-9)*w)\/w)*((((w*w**(4\/3))\/w)\/w)\/w)**(-48))**15 assuming w is positive.\nAnswer: w**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 + 6*r**2 + 38. Suppose -5*v + 25 = 2*t, 19*t = -2*v + 15*t - 6. Let w(o) = -6*o**3 + 7*o**2 + 39. Calculate v*k(i) - 6*w(i).\nAnswer: i**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t**3 + 11*t**2 - 7*t + 370. What are the prime factors of l(10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x**6*x*x*x\/x**(4\/3)*x*x**5 assuming x is positive.\nAnswer: x**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15710 (base 10) in base 12?\nAnswer: -9112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 + 3127*b - 31179. Calculate l(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 6\/1387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 106*h - 951. Let m(s) = s**2 - 3*s - 121. Let v be m(-10). Calculate z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -39.83. Let n = f - -0.226. Let h = n - 0.056088. Round h to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-28))\/(-3)*7\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-26)\/(-13)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*i**3*k + 8863*h**2*i**3 - 2*h**2*i + 2*h*i**3*k - 3*h*k + 58*i**3 - i*k wrt h?\nAnswer: -6*i**3*k + 17726*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-64)*98\/(-28)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.096 * -5\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -40039.0254 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -8*l + 5*v, 0 = 5*l - v - 3. Suppose 4*j - 3*j = -l. Let m = -56 - -61. What is the nearest to j in m, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1961*s. Let q(z) = 68*z**2. What is m(q(h))?\nAnswer: -133348*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2 - 8*v - 1. Let q be n(-6). Find p, given that -p**q + 0*p**3 + 1\/2*p**5 + 0 - 1\/2*p + p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*w + 30, a - w = 8 - 0. Suppose 2*s - 6 = a*j, 2*s + 5*j = 6*s - 12. List the prime factors of 49\/4 + s\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/2 - 49\/7. What is the highest common factor of 124 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10109400 by -870.\nAnswer: -11620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o**3 + 3*o**2 + 1. Let b(l) = -l**4 + 29*l**3 + 208*l**2 - 10*l - 1. Let j(q) = -b(q) - s(q). What is the third derivative of j(h) wrt h?\nAnswer: 24*h - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/2 - y + 2. Find the first derivative of n(d) wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -9. Let u(a) = -a**3 - 9*a**2 - 7*a + 7. Let d be u(q). What is the units digit of (-30)\/(-8) - d\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = -5. Suppose -j*m - 1 + 36 = 0. Let z(c) = 3*c - 1. Calculate the remainder when 57 is divided by z(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 + 500\/3. Which is greater: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38964 + -38965. Suppose -5*t - o = 3*o + 11, 5*o + 20 = 0. Let f(d) = -d**3 - d**2 + d + 1. Let k(r) = 2*r**3 - r**2 + r + 1. What is q*k(j) + t*f(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 + 378. Find the third derivative of 633*i + h*i**4 + 4*i**2 - 619*i + 0*i**2 wrt i.\nAnswer: 2256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1012324, 2024643, 3036962, 4049281?\nAnswer: 5061600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 2*g)*(g**4 + 9*g**3 - 9*g**3).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -399, -3223, -10893, -25833, -50467?\n\"Answer: -404*o**3 + o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2856 = -3*y - 2943, -4*g + 4*y = -3868. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 36. Let o = k - 12. Let n = 27.00116 + o. What is n rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126490 is divided by 708825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/1*12\/(-4). Solve j*c = -6 - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93876 - -418600. Let w = -324730.300116 + f. Let x = 6.3 + w. What is x rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-8 - (-1 + (-4 - -6)) - 22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 1341760*w**2 - 225037303656*w - 900170682912.\nAnswer: -2*(w - 335442)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931) + -1 + -5))**2*5.\nAnswer: -10500*sqrt(19) + 120875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8952 greater than or equal to 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let x(h) = 4. Let b be 1\/(((-15)\/12)\/(-5)). Let f(t) = b*p(t) - x(t). Let u(i) = i**2. Calculate f(u(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 16, 6*h = 10*h - p - 22488. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187013 divided by 4?\nAnswer: 187013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3049*g - 19970 - 7640 = 1454*g - 5095 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2101, -2568, -3035, -3502, -3969?\nAnswer: -4436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 29*j + 7. What is x(14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-20)*(-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24048963?\nAnswer: 3, 31, 86197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(25\/(-3))*17\/(408\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22445?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 128 - 152. Let n(q) = -3*q**3 + 4*q - 5. Let b(x) = 2*x**3 - 3*x + 6. Calculate i*n(o) + 4*b(o).\nAnswer: -o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214.6 + 215. What is the third smallest value in 3, 1\/2, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126474*o**3 - 252701*o**3 + 126320*o**3.\nAnswer: 93*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**3 + 5*s**2 + 1. Let k(t) = -10*t**3 - 4*t**2 - 1. Calculate 3*k(u) + 2*p(u).\nAnswer: -8*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1770*b**2 + 22*b + 11. Let f(r) = -884*r**2 + 12*r + 6. Let v(o) = 11*f(o) - 6*l(o). Let s(d) = -d**2. Give s(v(q)).\nAnswer: -802816*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2175695.80221 + -2175683. Let r = l + -30.602121. Let j = r + 17.8. Round j to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/585?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-48 + -26 + 47)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 + 4 = 0. Let q = -10 - -13. Suppose 12 = w*p + 2*j, 0 = -q*p - 2*j + 10 + 10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*s + 51, 3*k - 55*s + 50*s = -39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 - 516*y - 33282 = 0.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**3*j*q + 176*i**3*j - 5*i**2*j + 2*i*j*q - 4*i*j - 7 wrt i.\nAnswer: 60*j*q + 1056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:30 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1023554 and 2938?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2497 - 2489. What is the highest common factor of p and 2276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g - 87. What is p(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eelejeeehkd. Give prob of picking 1 e, 1 d, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15423238 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + (-75)\/(-9))*62\/155. Let b = 0.2 - 0.3. What is the closest to b in -1\/5, y, 0.1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-64)\/(-20) + 8\/1080*3. What is the closest to 1 in z, -1\/3, 4, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 120*w - 252.\nAnswer: 3*(w - 42)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120331209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let i(f) = -f + 1. Give i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141*b**3*l - 87*b**3 wrt l.\nAnswer: 141*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-1))\/10)\/((-12)\/(-3264)*8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*t**2 + 35*t**2 + 55*t**2 + 137*t**2.\nAnswer: -29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 4*p**2 + p**2 - 3*p**2 + 2*p - 640.\nAnswer: 2*p**2 + 2*p - 640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = l + 5*o, -4*l = o + 5 - 1. Suppose l = -3*b + 3*s + s - 16, 0 = b + 5*s - 20. Let g(h) = h**3 + h**2 + h + 12. Is g(b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7440*j*p**3 - 1241*j wrt p.\nAnswer: 22320*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057080013.\nAnswer: 11, 9127, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 471 = -376 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2*-1) - 26. Let h be 10\/x + (-74)\/(-10). Let l = -29 + 35. Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526132 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 10. Let s(c) = -3*c - 29. Let m be (-140)\/7 + 3*1. Let w(h) = m*n(h) + 6*s(h). Differentiate w(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -21. Suppose -h + t = -3*h - 108, i = -5*t. Let u = 99 + h. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 17*v + 77*v = 41*v + 352 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8839 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 1079908 = b - 16*h, -3*b + 3239778 = -3*h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(500)*-1*-2 - ((-2 + sqrt(500) + 2 - sqrt(500)) + 5))*-2)**2.\nAnswer: -160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - 2 - (163 - 118).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 9*f + 10. Let n(p) = p**2 + 4*p + 1. Calculate the lowest common multiple of t(9) and n(-7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 135. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5 + 11 = -2*l, -4*y + 9 = -3*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804532.\nAnswer: 2, 3, 161237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3156 divided by -2473.\nAnswer: -3156\/2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 70. What is the remainder when 163 is divided by r(37)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgi. What is prob of sequence iw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - 0.5. Let y be -1 + 8*1 + -2. Let u = 1.2 - 1.2. What is the nearest to c in y, u, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:23 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 21888 = -2*t, 43*m = 41*m + 4*t + 10968. Is 60 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163643848*m**2 + 94606008*m.\nAnswer: 327287696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 0, -5*v - m + 8 - 3 = 0. Sort -5, v, 2, 0 in descending order.\nAnswer: 2, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/50841 and -7\/94419.\nAnswer: 660933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 615 (c) 0.5 (d) -2 (e) -0.1 (f) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5675, -5482, -5287, -5090, -4891?\nAnswer: -4690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -10304?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2*z - 2*z)*(-7*z + 2*z - 6*z)*(0*z + z + z)*(z + 2*z - 2*z) as f + q*z + b*z**2 + m*z**4 + v*z**3 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15640237.8 to the nearest one hundred thousand.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-72))\/(2\/556) and -31\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111403 (base 5) to base 4.\nAnswer: 332022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -7. What is the third derivative of -3*q**5 + 0*q**t + 2*q**2 - 3*q**2 - 2*q**5 wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n**2*r + 169*n**2 - 5*n*r wrt r?\nAnswer: -4*n**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c**2 - 4*c + 306. Let u(l) = -7*l**2 + 2*l - 152. What is -13*u(q) - 6*z(q)?\nAnswer: q**2 - 2*q + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -2 - (2 - 2). Suppose -5*t - 35 = -k*a, 4 = -5*t - 6. Let b(p) = -p**3 + 8*p**2 - 7*p + 2. What is the remainder when a is divided by b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676144843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.804 and -0.5?\nAnswer: -1.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 20*w = 5*v + 17, -3*v + 3 = 5*w. Sort 3, v, -21, 4 in decreasing order.\nAnswer: 4, 3, v, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -16 - (5 - 7)) + 8 + (-1 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**47)**(-40) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75\/4 + -121\/8. What is the common denominator of 27\/8 - (-4)\/(-2) and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tptyv. Give prob of sequence vppv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -624 - 7531?\nAnswer: -8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 46 - 52 = 0. Let b be (-14)\/6 - (1 + l). What is the second biggest value in 2, b, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 17*p**4\/24 - 7*p**3\/6 + 3*p**2. Is w(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1371 - -25?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 + 202. Let j = 114 + g. Solve -20 = -5*v, 4*c + 4*v + 3 = j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 92, 94, 96, 98, 100?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-2 + (-982)\/(-660)). Let j = x + -2\/165. Let f = 16\/3 - 121\/21. Put j, 1, f in descending order.\nAnswer: 1, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1840701, -1840691, -1840675, -1840653?\n\"Answer: 3*j**2 + j - 1840705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3447*c**2. Let y(i) = 33*i. Calculate d(y(j)).\nAnswer: 3753783*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147081300.\nAnswer: 2, 3, 5, 490271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 50 = -3*o, 2*o - 3*o - 15 = -5*t. Let p(h) = -4*h**3 - 6. Let q(r) = -r**3 - 2. Calculate o*q(v) - 3*p(v).\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x + 1792. Let j be p(-128). Solve -7*n + 54 - 40 = j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*b**2 + 27*b**3 - 84*b**2 + 28 with respect to b.\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 4*p, -4*x + 7*x = -5*p + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 1348*j**2 - 3*j**3 + 1137*j**2 + 4*j**3 - 9*j**2 in the form i*j**2 + a*j + v*j**3 + r and give i.\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3832942271\/2745 + -1396336. Find the common denominator of 10\/3 and x.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129143*k**3 - 664*k**2 + 664*k**2.\nAnswer: -129143*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:04 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - h = -14. Suppose 65 = 5*t + 5*i - 0*i, 3*i = 12. Suppose -t + 0 = -3*j. Solve -j*n = h*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 163 - 6537 - 184*d - 2090 - d**2 = 0?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3\/14 (c) -1.44 (d) 64.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -112962666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + n)*(1 + 4 - 4) + 6*n + 6*n - 4*n)*((2 - 5 + 2)*(0 - 3 + 4) + 1 + 0 + 2 + (0 + 3 - 1)*(-2 + 3 + 0)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*v = 46129349 + 290609784. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.91514ns to microseconds.\nAnswer: 0.04391514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1178 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let n be z(-7). Suppose -2*c = -3*t + n, -3*c - 2*c + t = -21. Suppose 0 = -p - 0*p + 7. Solve -p = -c*h + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217975 is divided by 27678.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/1391? (a) -1\/3 (b) 1 (c) -0.8 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*i**3 + 6348 + 6256*i - 275\/3*i**2 = 0. What is i?\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = 20. Let r be (-488)\/(-10) - (-1)\/c. Let v = r + -33. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1761? (a) -0.5 (b) 0 (c) -422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 3. Let s be k(6). Let l = -2.55 + 3.55. What is the third smallest value in s, l, -87?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49235 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (33 + -2 + -33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let m(t) = 2*t**2 + 10*t + 60. Let i(l) = l**3 + 10*l**2 - l + 10. Let u be i(-10). Let z(y) = u*j(y) + 2*m(y). Factor z(g).\nAnswer: 4*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.05446642175 - -0.5\nAnswer: 11.55446642175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 8 + 45 - 66*j - 82*j + 38 to w*j + d and give d.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.5. Suppose -4*q - 5 = 11. Let y be ((-12)\/18)\/(5\/3). What is the nearest to -2\/5 in y, o, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 292180508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314671.\nAnswer: 7, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 take away 1.31495?\nAnswer: 578.68505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 25. Let v = 34 - d. Let l = v - -4. Let o(j) = j**3 - 5*j**2 - 5*j - 2. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9696?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -33*u**2 + 5*u + 18. Let l(k) = -16*k**2 + 3*k + 11. Give -5*l(o) + 3*y(o).\nAnswer: -19*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 13796*o + 475*o - 3 + 3590*o.\nAnswer: 17861*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Let u be (-12)\/21 - w\/(-21). Let i = -0.04 - -1.04. Is u not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/27, -3\/4, -2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*v**5 - 30*v**2 - 12*v**5 + 4*v - 6*v + 2*v**3 + 24*v**2 wrt v?\nAnswer: -720*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*s + 78. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 70 = -3*k - 11, 2*k + u - 39 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 18 - 7*n**3 - 13.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -138. Suppose 2*s - h - 37 = 108, -2*h - 220 = -3*s. Calculate the highest common factor of f and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*5\/((-20)\/8). Let f be -8*p\/(-8)*1. Let 2\/7*j**3 + 0 + 2\/7*j + 4\/7*j**f = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 212\/44 - -1. Put 0.4, -2, 2, w in increasing order.\nAnswer: -2, w, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (-4 - -7) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Suppose 0 = -2*t - o + 91, -t + 4*o = w*t - 131. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 54*w**3 - w**2 - 5*w - 3. What is h(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168 (base 14) to base 15.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4076 and 14016345?\nAnswer: 56065380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331624 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-8)\/(-20)*(-1)\/(2\/60)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -268, -2.\nAnswer: -268, -2, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3030)\/126*-1)\/(18\/(-21)). Let v = i - -133\/18. What is the common denominator of -9\/25 and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-465)\/(-10). Let h = -73 + v. Let k be (-4)\/12 + h\/(-6). Sort -4, 3, k.\nAnswer: -4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -581.6 and 97.\nAnswer: -484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*d**2 - 4*d - 14 wrt d.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 11. Determine n(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5447260 divided by 1\nAnswer: 5447260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657535?\nAnswer: 5, 131507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16*z - 5. Suppose -j = j - 4. Let k = j - -4. Is m(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395696 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -5*d**4\/12 - 125*d**3\/3 - 1125*d**2\/2 - 3545*d. Suppose z(g) = 0. What is g?\nAnswer: -45, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6301?\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b. Suppose -6*h + 7*h = b. Solve -4*a - 3 - 1 = h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:15 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(2\/53))\/k))\/k*k)\/(((k**(-41)*k)\/k)\/k) assuming k is positive.\nAnswer: k**(2277\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/((sqrt(108) + sqrt(3))*-1))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 99*v - 10. Let t(k) = -9*k. What is -5*t(q) - u(q)?\nAnswer: -54*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s + 6. Let x(w) = 8*w - 7. What is -3*j(b) - 2*x(b)?\nAnswer: 11*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -84\nAnswer: -5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8925437 is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149866 = 13*h - 370515. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 - n**4 + n**4 + (-n**2 - 2*n**4 + n**2)*(0*n + 6*n - 4*n) - 4*n**5 - n**5 + 3*n**5 + n**5 - n**5 + n**5 - 3*n**5 + 4*n**5 + n**5.\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-650)\/195)\/(1*(-2)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -10. Let r(f) = f**2 + 5*f - 4. Let g be r(b). Suppose 0 = -0*m - m + 30. Calculate the greatest common factor of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/12 + s**3 - 6*s**2. Suppose g + 6 = 5*m, -2*g = -2*m - 7 + 3. Suppose y + 4*h = 3*y + g, 5*y - h + 28 = 0. Give b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 - 8 = -r, -4*a - 2*r + 22 = 0. Solve -9 = 4*o - o + 2*g, 24 = -a*o + 3*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 2 + sqrt(605))*4.\nAnswer: 8 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -l - 2*l. Let k = 1 - l. Let j(y) = -6*y**3 + 5*y - 5. Let g(s) = -7*s**3 + 6*s - 6. Calculate k*j(i) - 5*g(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 2*t)*(-3*t + 0*t + 0*t)*(6*t + 16 - 16).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 29 = 4*n, b - 3 = 5*n - 2*n. Let d = -7 - b. Let h be ((-143)\/33 + 6)\/(5\/6). Solve h = 2*a - d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006 = -239*k - 4151 + 465 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**2 + 41*j**4 + 4*j**5 + 3*j**2 - 41*j**4 wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1669 - -1784. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 3*f - 2. Let c(v) = -35*v**2 - 31*v - 1. Give -11*b(h) + c(h).\nAnswer: -2*h**2 + 2*h + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 1, 1859, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:49 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 9. Let y(p) = -2*p**3 + 7*p**2 + 7*p + 9. Suppose 68 = 50*d + 368. Let b(n) = 2*n**3 - 6*n**2 - 6*n - 8. Determine d*y(x) + h*b(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 30279129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**3 + 6*a**2 - 6*a - 7. Let b(q) = 5*q**2 - 15 + 31*q - 44*q + 17*q**3 + 8*q**2. Calculate 6*b(z) - 13*d(z).\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -65*z**2. Let b(i) = -11*i**2. Give b(t(r)).\nAnswer: -46475*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 81*n - 620172000. What is n rounded to the nearest 100000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19641, -78948, -177795, -316182, -494109?\n\"Answer: -19770*h**2 + 3*h + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1584)*3 - (sqrt(11) + sqrt(891) + -1 + sqrt(891) + -2).\nAnswer: 3 + 89*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 2*q - 9, 3*w - 5*q + 10 = 0. Suppose 4*k = -4*c + 124, -3*c + k + 4*k + 101 = w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1400\/3*v + 464 + 356\/3*v**2 + 2\/3*v**3 = 0.\nAnswer: -174, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 1. Let f be o(-1). Let b(i) = i - i**f + 6*i - i. Let k be (-5)\/(-4)*2*2. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005483 rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(0 + sqrt(1152)) + 5)*-3)**2 + (-6*(sqrt(1152) + -1))**2 + -3*sqrt(1152) + -5.\nAnswer: -6120*sqrt(2) + 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b4 (base 16) to base 5\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccccccvvcvccc. Give prob of picking 4 c.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhvvhvhhhiwhhhh. Give prob of sequence hhvh.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11664.95 tonnes?\nAnswer: 11664950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 4 + 198\/55. Put 58, 0, i in decreasing order.\nAnswer: 58, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 291, 9, -4 in descending order.\nAnswer: 291, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -3*q - 5*k, -k - 48 = -5*q. Suppose 4*p + 4*h = 2*p - 12, q = -3*h. Is 6 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -53*x**3 + 4*x**2 + 7*x - 17. Let z(i) = 16*i**3 - i**2 - 2*i + 6. Give 3*n(d) + 10*z(d).\nAnswer: d**3 + 2*d**2 + d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Suppose -20 = -2*v - x*h, -6 = 2*h + 2. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 32*d - 66. Let u be l(2). What is the third biggest value in u, 2, 0.9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 3. Suppose -2*c + 5 = -n, 0*n + 14 = 5*n + b*c. Suppose 3 = 5*m - 7. Do m and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 3399083 + 300117 = 0. Round y to the nearest 1000.\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 27*b**2 - 2 - 6*b**2)*(0 + 5 - 3).\nAnswer: -74*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:47 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + l. Let j(r) be the first derivative of r**3 + 1. Let c be j(1). Is x(c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1585\/27 = -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - 1113764?\nAnswer: -1113817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 155 - -629128?\nAnswer: 629282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 25*i**2 + i + 2. Let l be 6\/15 - (-24)\/15. Let x be j(l). Suppose -5*p + 5*q = -104 - 76, -4*p - 4*q + x = 0. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:32 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1774 = -12*z - 1810 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 4*w**2 - w - 2*w**2 + (w + 5 - 5)*(2*w + 0*w + 0*w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171626)\/(-237636)*(-1)\/(-13).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -403 - -402.98. Put 2, n, -5, -6 in descending order.\nAnswer: 2, n, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/13229 + 37649699\/66145. Let m = h + -574. Calculate the common denominator of m and 45\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 281*c + 20. Let y(r) = -285*r - 19. Give -14*k(x) - 15*y(x).\nAnswer: 341*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*k**3*q**2*t**2 + 21*k**3*q*t + 3254*k**3*t**2 + 2546*k**2*q**2*t - k*t**2 wrt q.\nAnswer: -234*k**3*t**2 + 5092*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 7*k = -3915. What is the smallest common multiple of 1131 and k?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/21)\/(q\/q**(-1\/33)*q) assuming q is positive.\nAnswer: q**(-160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 502\/8 + (-15)\/(-60). What is the highest common factor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let y(m) = 15009*m. What is k(y(s))?\nAnswer: 225270081*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33631.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2 + 56*r - 1. Let c be g(-8). Which is smaller: 3\/64 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 165 = -10*d - 30 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-291)\/(-3) - (-1 + 2)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 l, and 1 g when four letters picked without replacement from hhlgglllglgggiilggi?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 944747880 divided by 3952920\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 1 - 1)*(0 + 2 - 4) + 4*f - 2*f - f + 156*f + 609 - 609 + 2*f - 3*f + 2*f to k*f + y and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 43 - -5 - (-68 - -59)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -398, -905, -1626, -2567, -3734?\n\"Answer: -x**3 - 98*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 192*d + 48*d**2 + d**3 + 256 - 2*d**3 - 4*d**3.\nAnswer: -4*(d - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/354 and -143\/50328?\nAnswer: 2969352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c - 9. Let k be x(-3). Let s(f) = 12*f - k*f - 13*f. Let w(l) = 7*l. Give w(s(r)).\nAnswer: -133*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/6 - 4*m**3 - 3*m + 1. What is the remainder when w(-11) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281688581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 294332773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214285766 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149690 and 36195042?\nAnswer: 180975210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:27 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1420 and -11\/5612408?\nAnswer: 28062040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 9 + 9. Let y be 1 - u - 456\/480. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 10*m + 10. Is 5 a factor of t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14. Solve 0 = 4*k - 2*k - w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Let u(g) = -2 - g + 6*g + 2*g**2 - 3*g + 3. Is 2 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-2)\/(-1 + 3). Let z be (-174)\/(-12) - (-1)\/n. Suppose 3*b = b + z. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-30) - (-155825870)\/6. Let i = -6229022 - b. Round i to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -42. Which is the biggest value? (a) -0.4 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 21*w - 37. Determine h(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v + 143. Let i be z(10). Let u(k) = 3*k**2 + 26*k - 7. Let b be u(i). Calculate the greatest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/((-2)\/(-8)). Suppose -10*r - 73 = -13. Let s be ((-2)\/v)\/((-2)\/r). Solve s*m - 3*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 4. Let t(o) = o**3 - 2*o**2 - 6*o - 3. Let x be t(0). Let f be ((-30)\/18)\/(-5)*x\/4. What is the smallest value in 0.1, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/3)*n*n))**(-3))**26 assuming n is positive.\nAnswer: n**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66433456 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let j be s(5). Suppose p = j*p - 60. Round p to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 31 - 41. Let q = 35 + a. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 16) to base 9\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a - 256 = -1318. Calculate the lowest common multiple of 1244 and a.\nAnswer: 11196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 18*j**2 - 30*j - 28. Let g be p(16). Which is the closest to 14? (a) g (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/9 (c) -2 (d) -9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h. Let d be v(-1). Let r be 8\/d - (-4)\/10. Solve s - 6 = -3*w, r*w - 4 = 5*w - 3*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.1, -1905, 0.3?\nAnswer: -1905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tesl when four letters picked without replacement from {t: 2, o: 1, l: 5, q: 6, s: 1, e: 1}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 2, r: 1, w: 4}. What is prob of sequence qw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 16 + 1 - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 95 - 67 = 0. Let t(i) = -4*i**3 + 2*i**2 + 14*i + 1. Let d(w) = -4*w**3 + w**2 + 13*w + 1. Let z(u) = 6*d(u) - 5*t(u). Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -401 at least -401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536412.\nAnswer: 2, 3, 44701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31596)\/204 + 2\/(-17). Let m = w - -178. Calculate the remainder when 66 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2032293730 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)\/sqrt(9))\/sqrt(7) - 5*sqrt(21)\/sqrt(7)) + 3)**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-16))\/11*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 0 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 904 + -904. What is the third biggest value in -2\/55, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 58*y**2 - 299*y + 66. Give f(-23).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/4*2)\/((-11)\/(-110)). Let h be (50\/30)\/(b\/(-6)). What is d in -37 + 5*d + 12 + 15 + 5*d**h = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1741900 or -1741898?\nAnswer: -1741900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-111)\/(-66) + 1 - (219 - 214). Sort 4\/5, c, -7 in increasing order.\nAnswer: -7, c, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-28)*2 - 113\/(-7). Suppose -3*b - b = -k. Let r be (4\/(-10))\/((-11)\/55). Solve -13 = 2*i - l - b, -5*l - 15 = r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*((2*sqrt(15)\/sqrt(5) + 2)**2 + 5).\nAnswer: 8*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = 0, 3*c + q = -3*q + 45. Suppose 5*v = -25 - 5. Let m be (v\/8)\/((-2)\/456). What is the highest common divisor of m and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -3923197.\nAnswer: -22\/3923197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 19*g + 0 + g - g - 2*g + (-3 + 0 + 1)*(g - 1 + 1) - g + 0*g + 3*g + (-2*g + 4 - 4)*(5 + 0 - 3).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)\/((-4)\/(-20)). Let z = -26 + 51. Solve 3*s + z = f*y, -s - 5*y + 5 = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 3*y. Let g be 2\/(((-4)\/10)\/(-1)). Sort y, g, -5.\nAnswer: -5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -4. Let l = 6 + j. Let y = -26844 - -26844.2. What is the biggest value in 0, l, y, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273165387 and 3411.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {a: 16, p: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*v + 5 + 0 = 0, 1 = -w + 2*v. Let n be (-4)\/(-5)*45\/(-2). Let j be 1 + (-1 - 4\/n). Which is the second biggest value? (a) w (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103011443, -206022884, -309034325?\nAnswer: -412045766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1587868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**3 + 52*q + 46*q**2 + 52*q**2 - 98*q**2 + 1 - 50*q in the form s*q**2 + d + o*q**3 + b*q and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a centimeter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Let p be -1 - 13\/(-3)*-12*n. Let x = p - -157. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 6*s - 5. Let a(k) = -k - 1. Let m(l) = -2*a(l) - u(l). What is the units digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((180\/(-160))\/((-3)\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 - 12*h + 9. Let m(c) = 6*c**2 - 6*c + 4. Let l(d) = 7*m(d) - 3*t(d). Let g(b) = -4*b**2 + 6*b. Let w(p) = -2*g(p) - 3*l(p). Determine w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/720*-35*(-66)\/2079?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(175) + (-6*-1*sqrt(175) - sqrt(175)) + 5)*2)**2.\nAnswer: 2400*sqrt(7) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:40 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 204493604 divided by -5908\nAnswer: -34613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/3 - 31012*y**3\/3 - 20672*y**2.\nAnswer: -2*y**2*(y + 2)*(y + 15504)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-4 + 1596\/2). Let p = x + 3944\/5. Which is bigger: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from ghttxptrhxhhhx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5330853, -5330855, -5330857, -5330859?\nAnswer: -5330861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {k: 3, a: 2, f: 10, c: 1}.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 95082 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 494483416 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400149893.\nAnswer: 11, 13, 17, 241, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80344 - -5?\nAnswer: 80349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5696.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-813 - -793) + 8 + -2 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.1 (b) 0.3 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*n - 2*j - 17, 5*j - 35 = -4*n. Suppose 0 = -2*o - n - 1. Is 8 a factor of ((-72)\/o - 2) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 2*y - 7. Let q(l) = -l**3 - 13*l**2 - l - 15. Let f be q(-13). Let j be i(f). Let r(p) = -2*p + 17. Is r(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37279641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d + 100. Let q be s(-6). Solve 4*u - 2*m + q = -7*m, -2 = m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9*(-10)\/(120\/2286))\/(1724\/5172).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -8)\/((-9)\/(-3)) - -2. Suppose l*i + 1197 = 7*i. What are the prime factors of i?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26166518 to the power of 1\/2, to the nearest integer?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 2\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 111*s - 1522. Calculate v(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(78)*4*-1)\/(-3*sqrt(594)\/(sqrt(1100) - sqrt(11) - sqrt(11))).\nAnswer: -640*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11528\/7205*230\/(-48).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 3*u - 2*u**2)*((14 - 14 - 9*u)*(-3 + 2 + 2) + (-22 + 8*u + 22)*(1 + 2 - 1)) to the form z*u + b*u**2 + i*u**3 + p and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 250.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-5))\/1)\/((-8)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759380 is divided by 597.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fknkkfcnfkkfnk. What is prob of picking 2 k and 1 f?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1331 + 1329. Put 0, m, 1, -6, -4 in ascending order.\nAnswer: -6, -4, m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -11, 23, 81, 169, 293, 459, 673?\n\"Answer: p**3 + 3*p**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(117) + sqrt(117) + (-1 + sqrt(1872))**2.\nAnswer: -18*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -55.\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135835 + 135838. Let f = 3 - 2. Let h = 18 - f. Solve 0*y + 2*t = 3*y + 13, 0 = c*y + 4*t - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 2*o. Let j be w(-2). Let u = j + -14. Let r = -6 + u. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 76*x - 59. Let z be s(4). Calculate the greatest common factor of z and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/30 + p**4\/4 - 10*p**3\/3 + 127*p**2. Let o(k) = 0. Calculate k.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.9. Let t = -5 - -1. Which is the closest to 2\/5? (a) t (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**2 - 68*z - 8. Let m(a) = -4*a**2 + 23*a + 3. Let v(x) = -8*m(x) - 3*o(x). Find the second derivative of v(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*f - 0. Suppose -2*a = -a - f, -2*m - 3*a = 19. Let r(l) = -l**2 - 12*l - 8. Let j be r(m). Calculate the greatest common divisor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/744691 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26, 1105, 1 in increasing order.\nAnswer: -26, 0, 1, 1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52253 (base 7) in base 9?\nAnswer: -18532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.028 and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.33 + -59.43. Suppose -3*q = -3*a - 2*a, 5*q - 2*a = 0. What is the closest to b in 2\/7, 8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - -10110001111?\nAnswer: 10101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 29*v + 243. Let u be l(7). Is -28\/3 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17081 = -x + 2*s, -19*x + 5*s = -18*x - 17096. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-30)\/4)\/(-5). Let p = 7 + y. Solve -6*b = -4*b + p*z + 8, -b - 10 = 5*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*c + 4*c + 6 = -5*s - c - 5*c + 2, 0 = 2*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 151*s + 9. Let f(v) = 50*v - 2. Let p(l) = -3*f(l) + o(l). Let y = -24 - -16. What is p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 100935.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.174299 - -3.828251. Let o = m + -97. Round o to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q - 8. Let p be r(4). What is the second derivative of 15*y**4 + 23*y + 2*y**4 - 3*y**p wrt y?\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 63*m. Let p(c) = -3*c. What is k(p(f))?\nAnswer: 9*f**2 + 189*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23004 divided by 54.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762.376 rounded to the nearest ten?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*l + 603*l - 1579*l + 494*l.\nAnswer: 136*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -459 in 4, -3\/4, 91?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3046023 divided by 423\nAnswer: 7201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -29*w + 10. Determine k(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 4, -1300, 5, 0.8, -0.2 in descending order.\nAnswer: 5, 4, 0.8, -1\/6, -0.2, -1300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 3. Let t be a(4). Suppose 0 = p - t - 11. Let m = 1 + 11. Calculate the highest common factor of m and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431298 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.1 (c) 27 (d) 1 (e) -13 (f) -5 (g) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 976984727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9643, 38219, 85751, 152239, 237683, 342083, 465439?\n\"Answer: 9478*f**2 + 142*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-24) - ((-231)\/9 + -2). Suppose -j*l = -32*l - 472. What is the units digit of l*(3 - 21\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2748.59493 rounded to the nearest ten?\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94051 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1966772041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**2 - 37. Let p(d) = 6*d. Give y(p(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18486 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 890 and 2492.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13192 + -0.13192. Let g = -766\/5 + 154. What is the second biggest value in d, g, -0.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2 (c) 0 (d) 4 (e) -1395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.36 + 2.13. What is q rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2235781 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/105 - y**5\/30 + 17*y**4\/42 - 8*y**3\/21 + 6*y**2 - 2*y. Suppose p(t) = 0. Calculate t.\nAnswer: -4, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.05, -17\/27, 6\/13, 6, 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:48 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38502672 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 187*v**6\/3 + 281*v**4\/12 - v**3\/2 + 1907*v. What is the third derivative of a(z) wrt z?\nAnswer: 44880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 111?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17624488 to the nearest integer?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-2) + 6)\/(5 - 6). Factor 0 + 0*p - 2\/7*p**2 + 8\/7*p**q.\nAnswer: 2*p**2*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4307, -4308, -4309?\n\"Answer: -w - 4306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6538 is divided by 263.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(3) - 2*(sqrt(3) + 4 + sqrt(3)))*4*5*2)**2.\nAnswer: 76800*sqrt(3) + 145597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6834 + 6790 = 5*l, -13*l - 28 = -2*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 23*n. Let b(f) be the second derivative of -f**3\/3 - 41*f. Give s(b(h)).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -14. Suppose 5*g + 5*n - 72 = 6*n, -2*g + n = -27. Let u = g - 10. Solve -l*o - u*x = -2*o, -5*o + 5*x = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421417 divided by -340109?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, u: 7, r: 1, o: 3}. Give prob of sequence tro.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/441 (b) -19 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 534*v**3 - 1063*v**2 - 17*v + 25. Give i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (0 - (5 + (-7 + 1 - -5)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199, 2155, 3111?\nAnswer: 4067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 24 + 33 + -60?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*x + 3*x - 26, 0 = -4*x - 3*d + 59. Calculate the remainder when 63 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 318*v**4 - 108*v + 11*v**3 - 319*v**4 - 97 - 18*v**2 + 313 = 0.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.648 + 0.64799649. Round m to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 5*d - 75 = 0, -21 = -s + 4*d. What is the second derivative of -8 + 46*v - 22*v**2 - 5 + s wrt v?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -41, -3, -4 in increasing order.\nAnswer: -41, -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.4, -2, -4.2, -1?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 6*f - 3*f - 56, 3*i = -f + 47. Let k = -160\/11 + i. Find the common denominator of 0 + -2 - 930\/(-36) and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, -2, -5, 21 in ascending order.\nAnswer: -5, -2, 21, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 77?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 27*g + 30. What is s(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3633)\/(-2595))\/(4 - -1 - 1740\/350).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -6481\/40. Let s(j) be the second derivative of 0*j**2 + 0 - r*j**5 + 1\/6*j**4 - 6*j - 1\/3*j**3. Find c such that s(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.82 + -9.1. Let j = 0.38 + v. Let m = 2.1 - j. Which is bigger: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*g - 5*g + 24048. List the prime factors of g.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 32*s + 25. What is t(-15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 3399.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1519 + 2695. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3413422 + 3?\nAnswer: -3413414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7*z + 0*z - 4*z)*(356*z**2 - 528 + 528) as p*z + f + d*z**3 + l*z**2 and give l.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -1 - 2) + (-130)\/(-13). What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/57595, 3, -1, 1?\nAnswer: 1\/57595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + k + 1075 = 2*k, 5*a + 2*k = 2689. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4*(-9)\/540)\/((-18)\/30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10559861 is divided by 691?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*g = 555, 5*h + 3*g = 7*g + 888. Does 7 divide (-2)\/12*3*h\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -21 - 14. Let f(a) be the second derivative of -a**4\/6 - 3*a**3\/2 + 7*a**2\/2 + 89*a + 79. What is f(k)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -585*j. Let x(k) = -13*k. Let y(r) = -2*o(r) + 91*x(r). Let s(f) = -2*f. Calculate s(y(n)).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 4*a**2 + 2 + 2*a**4 + a**2 + 3*a. Let r(x) = x**4 + 3*x**2 + 2*x. Let s(g) = -10*r(g) + 6*u(g). Find the second derivative of s(l) wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -d?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvxn when four letters picked without replacement from {j: 1, n: 2, d: 2, x: 2, v: 4, m: 4}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.00863 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-6)))*p**(2\/5))**(-6)\/((p**(1\/4))**33)**(-2) assuming p is positive.\nAnswer: p**(441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -142. Let a = -13 + 8. Sort b, a, 2\/3 in increasing order.\nAnswer: b, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*h - 26, -3*u - 26 = -u + h. Calculate the remainder when 8 is divided by u\/54 - 29\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122432 (base 5) in base 2?\nAnswer: 1000110010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 41. Let m be h(-20). Solve l - m = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 588451 and 12.\nAnswer: 7061412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 1 z when three letters picked without replacement from zdvdbbqbdqqxbbb?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315403 is divided by 8943.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9204?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.5 + -23. Suppose 0 = 5*h - 3 - 7. Let o = 3 - -2. Which is the nearest to 0? (a) h (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 121467 = 31169. What are the prime factors of i?\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/12 - 11\/(-2). Suppose 0 = l*x - 8*x. Suppose -2*j + 4*j + 2 = -4*q, x = -2*q. Is 1\/19 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9. Put 1, 0.3, -2, m in decreasing order.\nAnswer: 1, 0.3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 81 - 26) + -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -8 + 13\/2*p**3 - 1\/2*p**6 - 21\/10*p**5 - 2*p + 1\/14*p**7 - 1\/2*p**4 + 21\/2*p**2. Factor o(k).\nAnswer: 3*(k - 7)*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95852 (base 11) to base 3\nAnswer: 21002021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a = -4. Suppose a = 4*z + 44. What is the remainder when (-135)\/(-2) - (-5)\/z is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 10*x**2 + 17*x + 16. Calculate t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5088 and 14748.\nAnswer: 6253152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1191960\nAnswer: 5959800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*o + 13*o + 50 = 4*l + 4*o, -475*o + 472*o = -8*l + 103 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50821369, 50821372, 50821377, 50821384, 50821393, 50821404?\nAnswer: 50821417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5187 divide 515613735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:07 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -2 (d) 0.5 (e) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11085 is divided by 65?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.40957235 - -0.2.\nAnswer: 11.60957235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 - 13*l**4\/6 - 9*l**3\/2 + 17*l**2\/2 - 1838*l + 3. Give d(27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) + (-4294)\/(-304) + -3 + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14105 divided by 84?\nAnswer: -2015\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Suppose q = o + 4*o - 20. What are the prime factors of 6 + (-3 - -6 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-2\/81)*u*u*u)*u*u*u**(10\/11)*u assuming u is positive.\nAnswer: u**(1723\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + (-6 - 13) - 140.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -792 times 0.1?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:18 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -ab017 (base 12) to base 9\nAnswer: -374481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1149 divided by -39\nAnswer: -383\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169.81 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 390 = 44*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10 + -8 + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46761958 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + o**2 + 1. Let f(b) = -7*b**3 - 46*b**2 - 225*b - 186. Let t(x) = -f(x) - 6*l(x). Factor t(p).\nAnswer: -5*(p - 12)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, h: 8}. Give prob of sequence yyh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 3272 = -3043. Let m = f - 421. Solve m = -11*a + 10*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + 438. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*v + 5 - 6 + 1 - 182*v**2.\nAnswer: -182*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = 13. What is the third derivative of -5*l**2 + 10*l**2 - l**3 + p*l**2 - 10*l**3 wrt l?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -555000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*j**3 - 1266*j**3 + 33*j**3 - 1292*j**3 + 856*j**3.\nAnswer: -2542*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 16*p**2 - 61*p - 36. Determine w(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 115\/210 - (-225)\/105*1\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:39 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 306726.\nAnswer: -2\/21909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from protsdsosostodo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z. Suppose z = g - 0 - 20. Solve 10 = 5*y + w - 15, -w + g = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -172. Let f = i + 160. Solve -5*u - 3*j - 19 = 0, -3*u - 36 = f*j - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (17 + 34160\/(-64))*8\/(-3) is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1 + 0 + c + 0 - 2*c. Let z be v(-1). Let y be (z - 3)\/(4\/(-56)). Calculate the greatest common divisor of y and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 16. Give d(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431554*i**3 + 795565 with respect to i.\nAnswer: 1294662*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**2 + 74*y + 2. Let l be x(-7). Suppose -5*h = -2*o - 200, l = 2*h + o - 66. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -136018, -136019, -136020, -136021, -136022, -136023?\n\"Answer: -o - 136017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/19, 1\/8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-2)\/4)\/(9\/(-18)). Solve -5*x = -2*r + z, r - 4 = -0*x - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5994028 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/20043 and 47\/76479?\nAnswer: 510956199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/172 and -71\/332906?\nAnswer: 665812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -8. Let j(s) be the first derivative of 1\/4*s**4 + 9 + 0*s**2 + 4\/3*s**3 + 3*s. Determine j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 2704?\nAnswer: 21632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2\/(-2)*-1. Find the common denominator of 100\/(-22) - (k + 1) and -6*(-9)\/16*-2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87430879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10438*b**3*j**2 + 2*b**3 - 2*j**2 - 1897*j + 31 wrt b?\nAnswer: 31314*b**2*j**2 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 50*d**3 - 6 - 32*d**3 - 7.\nAnswer: 18*d**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 25, -4*l + 2*b = 1 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 28.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6007?\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -33*p**3 + 6*p**2 + 6*p. Let w(o) = -793*o**3 + 143*o**2 + 143*o. Give 6*w(f) - 143*x(f).\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:35 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 1.16.\nAnswer: 1.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -31490105\nAnswer: 1\/31490105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -2*l - 5*x, 0 = -3*x - 2*x - 15. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c - 1290 + 3999 = 0. Calculate the greatest common factor of 24 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333 - 333 - 59*c)*(-72*c**4 + 34*c**4 + 36*c**4 - 28*c**3).\nAnswer: 118*c**5 + 1652*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18 and -1\/66208.\nAnswer: 595872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 94, -3 in ascending order.\nAnswer: -3, 0, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/4*(-2)\/2. List the prime factors of l\/(-3) - 1*-20.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -12. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 307613 in descending order.\nAnswer: 307613, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*t + 16, 0*t = -3*b + 5*t - 19. Suppose -5*q = -2*x - 74 - 126, 0 = 4*q - b*x - 158. Calculate the remainder when q is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*-2 - (-3 + sqrt(13))*-2)**2 + (sqrt(208)*-1 + -2 - (sqrt(208) + 1*sqrt(208) + -3 - sqrt(208) - sqrt(208)))**2.\nAnswer: -80*sqrt(13) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13020 (base 5) to base 6\nAnswer: 4402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/5 + 93291*n**3\/5 + 242484*n**2 + 4476204*n\/5 + 3357072\/5 = 0. Calculate n.\nAnswer: -31084, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11952 + 3558. List the prime factors of f.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 = 5*y, -5 = 2*y - 5*y + 2*x. Let u(g) = y - 7*g - 12 + 4*g**2 + 6 + 2*g. Let w(m) = 4*m**2 - 6*m - 4. Determine -4*u(z) + 3*w(z).\nAnswer: -4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3871 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-7)*-8*110\/(-480)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01565 (b) -4 (c) 0 (d) 0.4 (e) -1\/8 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33624*i + 3 = -z - 33622*i, 0 = 3*z - 5*z + 14*i + 34 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 - 3. Suppose 5*v = c + 16 - 5, -5 = 5*v - 5*c. Determine d(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 6*o - 178 - 2 = -16*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134135, 268098, 402061?\nAnswer: 536024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let c = 0.57 - 159.57. Let w = c - -159.5. What is the nearest to -1 in 0.3, w, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*n + 2*b, 3*b - b + 2 = 0. Let f = n + -7. What is the third derivative of -5*x**5 - 2*x**f + 3*x**2 - x**2 + 5*x**5 wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14315, 57200, 128667, 228710, 357323, 514500, 700235, 914522?\nAnswer: 1157355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*m + 128 + 154 - 47 with respect to m.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 22.1. Let r = 5 + -2. What is the second smallest value in n, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/5 - 3*m**4\/5 + 2*m**3\/5 = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/19288800 and 101\/487296?\nAnswer: 231465600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257408807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3059 - 2753. Calculate the greatest common divisor of d and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (1 + sqrt(9)\/sqrt(3) - sqrt(3)) - sqrt(30)\/(sqrt(1210) - sqrt(1210)*-3))**2.\nAnswer: 2*sqrt(3)\/11 + 30979\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.01 (b) -4\/3 (c) 0.07 (d) -0.3 (e) 0 (f) 51.3274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 35*r. Let h(s) = -3116*s. Suppose 30*g + 202 = -41*g - 224. Calculate g*h(l) - 533*p(l).\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -10. Let v = m + 28. Let h be 10 + ((-30)\/(-5) - 11). Solve 4*l - v = c - 0*l, 2*l + 19 = h*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 277*b - 64265. Calculate v(232).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 2. Let d be q(-7). Let p = 18 - d. What is the remainder when 1 + p - 2\/2 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1\/4, 1.5, 0.5, 0.0677, -1?\nAnswer: 0.0677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*3 - (-8)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -36*m**2 - 16*m + 8. Let j(f) = 24*f**2 + 11*f - 5. Let c(x) = -7*j(x) - 5*r(x). Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 16*t - 21*t - 253. Let i(l) = l**3 + 11*l**2 + 5*l + 10. Give i(t).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -0.4. Let y = -0.675 - t. What is y rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 26794*h + 160773. Calculate c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 8*k - 20. Suppose 0 = -k*p - 9 - 7, 3*v = -3*p - 18. What is the third biggest value in v, 2, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14727480 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 - -177. Let k = 3 - 8\/3. What is the nearest to k in 5, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -27393, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b**3 - 6887*b**2 + 629*b - 1875. Give p(626).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -2*z**4\/3 - 11*z**3\/6 + 7*z**2 + 378*z - 2. Let m(r) = -3*r**2 - 4*r + 5. Calculate 4*i(q) - 11*m(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 31 = -5*d - z, 0 = -3*d - 4*z + 27. Let n(s) = 4*s. Let x(h) = 9*h. Determine d*n(a) - 2*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -713 - -724. Let f(q) be the second derivative of q**3\/6 + 11*q**2 + q. Does 33 divide f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -74, 44, 124, 154, 122, 16, -176?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 69445745\nAnswer: 69445744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 1 + 7. Let c = 17 - 287\/17. Let f be (-3)\/(-1) - (-43)\/(-15). What is the closest to 1\/4 in c, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*i + 44 + 54 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 696*k**4 - 485811*k**3 - 188278440*k**2 - 17607391296*k - 17419599360 = 0. Calculate k.\nAnswer: -232, -1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3354)\/8)\/(-1) + (-11)\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = -4*s - q, -4*q + 72 = 2*s - 164. Let o be (24\/s)\/((-1)\/(-3)). Which is the closest to 1? (a) 9 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241495*u**4 - 26778*u**2 + 2*u wrt u?\nAnswer: -5795880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o + 75. Let u be p(9). Solve 2*q + 16 = -u*m - 2*q, -2*q = -m + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7337*n**3 + 3372 wrt n.\nAnswer: -22011*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100011111010000 (base 2) to base 6.\nAnswer: 4335200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 16 = c - 10*y, 3*c - 5*y - 22 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*t + 1035*t = -87*t - 354*t - 107160 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/2 - -205\/6. Calculate the common denominator of t and 1\/37*-47*1.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33069202.3 to the nearest 100000.\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033202872 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.609976 millilitres in litres?\nAnswer: 0.000609976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113221 (base 5) to base 10.\nAnswer: -4186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*b**5\/5 + 2622*b**4\/5 + 28878*b**3\/5 - 148764*b**2\/5 - 25584*b\/5 = 0. What is b?\nAnswer: -13, -1\/6, 0, 4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6)*-2 + (-13701320)\/(-102) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(20) + sqrt(40)\/sqrt(2) + sqrt(20)))\/(sqrt(20)\/sqrt(125) + sqrt(4) + (2*sqrt(20)\/sqrt(5) - sqrt(4))))**2.\nAnswer: 175\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 8*t + 13. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(1\/(-18)). Let s be 19\/(-152) - (-51)\/24. Let o(t) = 1 - s - t**2 + 2*t**2 - 5 + 8*t. What is o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 + 237. Suppose 4*h - k*h = -f + 84, 3*h = -3*f + 240. Calculate the least common multiple of f and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11164 (base 8) in base 4?\nAnswer: 1021310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 1. Let d be b(-2). Let c be (-1)\/d*(-47 + 50). Let a = 0.08 - 0.38. Put 4\/11, c, a in increasing order.\nAnswer: a, c, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60656 and -1.\nAnswer: -60657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31496 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1358003 - -1358000.000015. Let c = 3 + f. What is c rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 6. Let w be h\/4 - 6\/4. Solve w*g - 15 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70636*r + 154757*r - 84120*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -50.6. Let a = -7 + 19\/3. What is the nearest to -0.3 in a, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9405)\/2508)\/(27\/12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299568 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, y: 1, h: 1, t: 1}. What is prob of picking 1 w, 1 o, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 4*t - 6*t**2 - 4*t.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 52. Let v = 22 + f. Let w = 453 - 449. Sort -1, w, v in increasing order.\nAnswer: v, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 27*g**2 + 61*g**6 - 24*g**3 - 23*g**6 - 2 - 43*g**6 wrt g?\nAnswer: -600*g**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1\/2, -2\/5, -1, 1.66357, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*a - 72 = 0, 2*h + 3*h = -a - 136. Let o = h + 53. Let n be o*(1 + 34\/10). Round n to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104537 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 117*r - 565. What is v(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6*22\/165)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1405806 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 1. Let z be v(-1). Let j = 331 + -240. Let i = j + -88. Solve z*s - i = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-360)*(-1 + -9)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 2, c: 3, j: 1, k: 5, x: 6}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/24 + 2*l**2. Let z(p) = p**2 + 3*p + 2. Give 4*y(m) - z(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 262*k - 267*k + 815*k + 2 - 285*k.\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34912 divided by 492\nAnswer: -8728\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-22)\/36*-9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {q: 1, i: 1, w: 1, r: 12, k: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61933 or 2?\nAnswer: -61933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1151\/4 + -291. Which is bigger: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - w + 14. List the prime factors of m(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -41*b + 2565. Calculate the smallest common multiple of b and 189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 33*s**4\/2 - 33*s**3 - 57*s**2\/2 - 9*s = 0. Calculate s.\nAnswer: -2, -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -526 - -589. Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.7 + 23. Let c = 4 + 4. Let m = c - 7.9. What is the closest to m in h, -1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 26, 59, 112, 191, 302?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -190 + 194 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 + 203584*p - 5180805632 = 0.\nAnswer: 50896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 19*q**2 + 1. Let i be u(-19). Let k be -1 - (7 - 6)\/(i\/(-2)). Solve -k = p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**2 - t - 7*t**3 + 4 - 19*t**2 - 2*t + 6*t**3. Give w(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 14574\/115 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97624*m**2 + 60998*m**2 + 36624*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 42584978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9836.41627772+0.079\nAnswer: 9836.49527772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7162 and 0.063.\nAnswer: -7161.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19307 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -199. Suppose -h = -0*w + 3*w + 5*o, 0 = 5*w - 3*o + 146. Let n = w - -55. What is the highest common divisor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8887149 decades?\nAnswer: 8.887149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 9*o + 23. Let m be f(5). Suppose -4*u - 3 = 13, 19267 = m*p - u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - 3*m - m + 1 - 1 - m + m + m + (5 - 1 - 2)*(-2*m + 3*m - 3*m) - 5*m + 5*m + 8*m + (-6*m + 4*m + 3*m)*(3 + 0 - 5).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, 55.33 in descending order.\nAnswer: 55.33, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + b - 0*b - 3, -3*v = -4*b + 12. Suppose -s + 21 = 2*s. Let m(d) = 3*d**3 - 156*d**2 + 2*d - 101. Let z be m(52). Solve v = -2*q + s - z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115650842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 89. Sort -2, i, 1.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1629837, 1629842, 1629847?\n\"Answer: 5*t + 1629832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(504\/16))\/(((-196)\/63)\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 19*k**2 - 15*k - 19. List the prime factors of v(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175909, 351827, 527745?\nAnswer: 703663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.59234 + -4.56. Round n to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2985262273 + 2.\nAnswer: -2985262271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99696 divided by 2?\nAnswer: 49848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**2 + 1. Suppose 0 = 3*o - 5*o, 2*o - 1 = -r. Let w = 57 + -35. Calculate the smallest common multiple of q(r) and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.3. Let j = 0 - s. Let w = -2.7 - -2.3. What is the second biggest value in w, -5, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**2 - 5*c - 15. Let m be y(-5). Let r = m - -371. What is the lowest common multiple of r and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195374, -195392, -195410, -195428?\nAnswer: -195446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2696*k**4 - 586*k**3 - 2622560*k**2 - 4*k wrt k?\nAnswer: 64704*k - 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -33. Is 5 a factor of 63\/105 + o\/(-5)*557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-2 - -1)) + (33 - 3). Suppose -28 = 2*u - k. Which is bigger: u or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18732*v - 20798 wrt v.\nAnswer: -18732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13545 and 218070.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42018 = -5987*d - 365316 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -47. Let z = 6 + w. Solve z = -6*d + 2*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/3)*12\/45\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -3*y + 5*y - 118 + 112, a - 189 = -63*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-180)\/(-105)*7 + 19663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1750991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 14*j + 44. Let g be q(-5). Let x(c) be the first derivative of -18*c**2 + 1. What is the tens digit of x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.2483 rounded to the nearest integer?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*g**2 - 272871 + 272871.\nAnswer: 189*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16548 and 2931754.\nAnswer: 17590524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (13 + -9) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184484*p**4 - 272*p**3 - 89240910 wrt p.\nAnswer: 737936*p**3 - 816*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 6*d - 2. Suppose 5*i - 14 = -39. Let g be q(i). Let z(l) = -3 + 4*l - 3*l + 4*l. Let b(v) = -4*v + 2. Determine g*b(y) + 2*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 539256 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose 4*z = 4*n + 4, -h*n + 1 = -n. Suppose 3*a + 4*s = 48, z*s = -s. What is the lowest common multiple of a and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*q = -26, 5*y - 204 + 230 = -q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let o(r) be the first derivative of -8912*r**2 - 8010. What is l(o(u))?\nAnswer: 17824*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7089959 - 672\nAnswer: -7090631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7799041cm in micrometers?\nAnswer: 7799.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4237?\nAnswer: 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 4*w**2 + 3*w**2 + 0*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/9 + 1016*w**2\/9 + 3814*w\/3 - 1384 = 0. What is w?\nAnswer: -12, 1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -2813 in increasing order.\nAnswer: -2813, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.84386 decades to years.\nAnswer: 328.4386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131264727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -38 - (-44 + -7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 + 4*b**2)*(-b + 0*b - b) + 6*b + 0*b + 3*b**3 - 3*b.\nAnswer: -b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -1 - 7. Let m be ((-2)\/a - -1)\/(0 - -1). Suppose 35*v**m + 25*v**4 + 23*v**2 - 68*v**2 - 7 - 20*v + 28 - 1 - 15*v**5 = 0. Calculate v.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2508695 millilitres in litres?\nAnswer: 0.0002508695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (2\/(-3))\/(2\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 239 - 1209 = 0. List the prime factors of w.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 5*f - 6*f**2 + 3*f)*(f + 2*f - 4*f) - 15*f**3 + 15*f**3 + 16*f**3 in the form j*f + m*f**3 + y + c*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1d8f1e?\nAnswer: 1d8f1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtd when three letters picked without replacement from ddtddddt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 9 - 13*h - 2 - 3 as u + g*h and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13143, 12947, 12755, 12567, 12383, 12203, 12027?\nAnswer: 11855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -1\/26, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by 4\nAnswer: -145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 32934*j - 32931.\nAnswer: -3*(j + 1)*(j + 10977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 14*q**2 - q - 15. Let u be y(8). Let v = 3906 + u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 18*p**2 - 2\/3*p**3 + 0*p + 3\/8*p**4 + 0 - 1\/10*p**5 + 1\/120*p**6. Find a such that b(a) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/1475*(1 + 6 + 1). Are 5 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.5 (b) -3 (c) 4132 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 201 + 69. Let u = s + 32. Let w(n) = -16*n. Calculate the lowest common multiple of 10 and w(u).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -42. Let s(o) = -4*o**2 - 5*o + 2 + o**q - 8 + 2*o**2 - 3*o**2. What is s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:09 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 9257 = -37378. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -c - 10, 2*r - r = -2*c + 24. Let m be 35\/c + ((-2)\/4)\/1. Suppose -m*b = 115 - 3538. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508208 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 31 = 5*r. Let f be 120\/(-14) + (-62)\/r + 4. Let x = -6 - 2. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/7 + 375*a**4\/7 + 8958*a**3\/7 - 29154*a**2\/7 + 29919*a\/7 - 1443 = 0?\nAnswer: -91, -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zek when three letters picked without replacement from {k: 4, z: 3, m: 3, e: 3, j: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 2*l + 13 + 11*l. Is 9 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6 - -2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by 49225.\nAnswer: 173\/49225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -571, -604, -661, -748, -871, -1036?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9103 is divided by 253?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 781842 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - i**2)*(1 - i - 1) + (-48*i - 19*i - 140*i)*(-3*i + i + 4*i)*(0*i + 3*i + i).\nAnswer: -1655*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.046711m in micrometers?\nAnswer: 5046711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:39 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 - 5*h + 2. Let p be b(-5). What is the second derivative of 2*d**2 + d + d**p - 4*d - 2*d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2897289*l**2 - 7465340*l?\nAnswer: 5794578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 10*r + 24. Let l be r\/14 - -37*(-16)\/(-14). Let v = l + -37. Solve v*k = -2 + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/22 - 694*c**3\/33 - 697*c**2\/11 - 698*c\/11 + 2798. Find i such that o(i) = 0.\nAnswer: -1, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = -15, -2*w - 17 = -s. Solve k - 6*k - 25 = 0, 3*k = 4*r - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -37. Let t = -1146 + 1158.97. Let u = n - t. Sort u, 1\/2, -0.3 in descending order.\nAnswer: 1\/2, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and (-2)\/(-3)*95256\/112.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 448324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, 1, -5, 4 in increasing order.\nAnswer: -5, -3, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29199 divided by -7\nAnswer: 29199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -3, -228 in descending order.\nAnswer: 5, 4, 2, -3, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3239*b = -6589*b + 3276*b - 4070 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - y**3 + y**3)*(9*y + 0*y + 6 - 7*y).\nAnswer: -4*y**4 - 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195473936 to the power of 1\/3, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -101, -142, -171, -182, -169, -126?\n\"Answer: s**3 - 48*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 756 = 109*z - 105*z, 10*c = 4*z + 1536. What is the remainder when c is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (384\/(-7))\/16*14\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -265749, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24144 divided by -25397\nAnswer: 24144\/25397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3 - 41 - w + 108. Is l(30) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/10 - 2\/4. Which is the third biggest value? (a) -2\/3 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-66)\/5)\/((-207)\/345). Suppose -4*v - 2*q = -3*q - 164, -5*q = -v + r. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -773 or -14680\/19?\nAnswer: -773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 21091675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 33328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 23*u + 46 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 1. Suppose 8 = -2*v, -2*y = -3*y + 3*v + 11. Determine k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 23*r**8\/336 + 7*r**5\/60 + 24*r**2. What is the third derivative of i(h) wrt h?\nAnswer: 1380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 + (6 - 6\/6) + 720. What is the greatest common divisor of q and 1218?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 2, p: 3, w: 2, y: 1, u: 3}. Give prob of sequence zly.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 49*b - 3*b**3 - 13*b - 12*b - 4*b**2 as d*b**3 + u*b**2 + g + w*b and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:30 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6))\/((-2)\/(-92)). Suppose 0 = 4*d - 4*j + 7*j + 7, -2*d - c = -5*j. Is 2 a factor of ((-36)\/(-24))\/(-3*1\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -142 and -2990\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73541.7 rounded to the nearest 100?\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171080 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 39879.58076 to zero dps.\nAnswer: 39880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.782751 + 1.8408. Let t = -31.942 + 32. Let w = m - t. What is w rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 40 = 3*g - v, 5*v = -2*g - 11. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywxwxwxwwyxwkxxwy. What is prob of picking 2 y?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315668816 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 20 - -9 - (1 + -11 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 14*l - 36*l.\nAnswer: -22*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 5*u**2 - 6*u - 3. Let q be t(-6). Let p = -19 - -19.1. Let h = p + 0.4. What is the second smallest value in h, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = -19*o + 968. Suppose -3*j + 3*t + 1635 = 0, 0 = 2*j + 2*j + 2*t - 2210. Calculate the highest common factor of j and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 + 196*u**3 + 2516*u**2 + 9116*u + 9672 = 0 for u.\nAnswer: -31, -13, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/342608 and 64\/58121?\nAnswer: 6509552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 17622704?\nAnswer: 193849744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70269230?\nAnswer: 2, 5, 47, 307, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.7, -0.3, 5?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 divided by 35?\nAnswer: 137\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6119 or -1013?\nAnswer: -6119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2807 = 4*p + 1077, 0 = 2*n - 5*p + 1963. Let y = -495 - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489 + -1466\/3. Factor x*n - 4\/3*n**5 + 1\/3*n**2 + 0 + 11\/3*n**4 - 3*n**3.\nAnswer: -n*(n - 1)**3*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s - 6 - 24 = 54 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175740.4456 rounded to the nearest 1000?\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -31, -55, -1, -6 in descending order.\nAnswer: 1, -1, -5, -6, -31, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 289099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {w: 1, t: 1, c: 1, e: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d - 92. Let k(n) = 3*n + 184. Let a(z) = -2*z - 92. Let s(p) = 9*a(p) + 4*k(p). Let h(q) = 3*s(q) - 2*x(q). Let i(o) = -2*o**2. Determine i(h(c)).\nAnswer: -8*c**2 - 736*c - 16928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*h*l - 5*h - 771*l - 1 wrt h?\nAnswer: -38*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 14. What is h(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/76*(1755\/(-90))\/13.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t. Let u(v) = v**3 - 2*v**2 + 2*v + 2. Let p be u(2). Let y(k) = -6*k**2 - 7*k. Let b(j) = p*y(j) - 42*f(j). Let n = 101 + -100. Give b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t**3 - 6*t**2 + t + 10. Let l(c) = -3*c**3 - 2*c**2 + 3. Let n(i) = 11*l(i) - 4*m(i). What is the second derivative of n(s) wrt s?\nAnswer: -6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 less than 8.43907?\nAnswer: 509.43907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k + k - 13*k - 14 as z + a*k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*x = x + 77, 0 = -d + 5*x + 35. Suppose v + v = -5*a + d, -4*v = a - 26. Let o = 18 + -13. Solve a = -o*b - 3*w, 5*b = w + 4*w - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 2.37. Let d = 0.15 - 1.55. Let x = d - y. Are x and -0.19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -134, -131, -128, -125, -122?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q*s*u**4 + 8*q*s + q*u**3 - 3*q*u - s*u**3 + 2*s*u wrt u.\nAnswer: -60*q*s*u**2 + 6*q*u - 6*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 921342 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 26 = -w, 0 = 2*w + 5*s + 178 - 74. Let p be (-3)\/w*-4 - 241506\/(-21). What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/21? (a) -0.5 (b) 2 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 4.02. Let z = -161 + 162. Put -8, z, g in descending order.\nAnswer: g, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72662*4.\nAnswer: -290648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4811817 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1375) - -3*sqrt(1375)) + sqrt(1375) + sqrt(1375)))\/(-2*(sqrt(25)*1)\/sqrt(5)).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -120*w. Let i be c(-1). Suppose i = j - 0*j + 5*y, 3*y = 3*j - 360. Suppose 0 = 8*z - 536 - j. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2*i + 232 - 232.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*j - 60, 37*j + 104 + 592 = -2*j - 5*r - 108 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - -101 - (0 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcckkcwsctddccwcwcs. Give prob of picking 1 c and 1 k.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/9 + 92*r**3\/9 + 1058*r**2\/9 = 0. Calculate r.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13024 + -143254\/11. Solve h*f**3 - 42\/11*f + 2\/11*f**2 + 2\/11*f**4 - 36\/11 = 0 for f.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 942 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 447 and 2228\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3436072 and 1336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*d - 12, -3971*y - 57 = -3963*y - 5*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/((o\/(o**(-1\/2)\/o))\/o)*o*o**(-4\/7)*o*o**(9\/5))**(-21) assuming o is positive.\nAnswer: o**(-949\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928135397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 130515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s - 8*s**2 - 1\/60*s**5 + 0 - 8\/3*s**3 + 1\/3*s**4. Let y(f) = 0. What is f?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -25. Suppose 0 = -z + 7*q - 3*q + 10, -3*z = 3*q + 15. Let w be 1 + z + -2 + 0 + 5. Solve -w*f = 1 + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(425) - 5*sqrt(425))**2 + 3) - ((sqrt(204)*6)\/sqrt(12) + sqrt(68)*5)**2.\nAnswer: -38367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*v + 317*v - 11 + 36*v + 56*v - 6*v**2.\nAnswer: -6*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3859 + -0.432. Let i = y - -0.0461. What is the nearest to 9 in -3, 4, -0.3, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 5*x - 3. Let p(t) = -1730*t**2 - 15*t + 9. Calculate -p(b) - 3*s(b).\nAnswer: 1733*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40860678 divided by 6.\nAnswer: 6810113","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -93, -11, 157, 441?\n\"Answer: 5*f**3 - 2*f**2 - 3*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:51 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(228)\/sqrt(3))*-3.\nAnswer: -6*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6641.73um?\nAnswer: 0.00000664173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*b - 29*b + 12*b)*(b**3 - 5*b**3 + 2*b**3) - b**4 - 2*b**4 + 5*b**4 + 2*b**3 to w*b + z*b**3 + h*b**2 + x + s*b**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2\/4)\/((-3)\/6))\/(105\/882). Which is the third smallest value? (a) 0 (b) -1 (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 1. Let z be x(2). Suppose 18*d - 12*d = -342. Let v be z\/12 + d\/(-12). Solve -5*g = -5*r + 10, -v*g = -4*r + g + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.9*-367459.\nAnswer: 5107680.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 35. Let l be o(10). Which is the second smallest value? (a) -11 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2747 + -2746. Let g be (-4 - 0) + (-1065)\/(-266). Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o - 0*o. Let v(x) = -x**3 - 7*x**2 - 4*x + 7. Let d be v(-6). Let f = d - o. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312a5 (base 11) in base 12?\nAnswer: -215bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -3. Let y be (-2)\/((-5)\/5) + 0. What is the third derivative of l**4 + z*l**y - l**2 + 3*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1127873+0.1\nAnswer: 1127873.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*h**4 - 4*h**3 - h**2 + 13*h + 143 wrt h.\nAnswer: -228*h**2 - 24*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((9\/6)\/(-3))\/(5\/(-1720)). Suppose -700 = -8*d - m. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 599707.00092 - 599666. Let j = -41 + u. What is j rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-5 - (3 + -12)). Let d = o - 41. Let x(n) = -n**2 + 5*n + 5. Give x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/385*121\/88\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 243.8?\nAnswer: -243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32394*v**2. Let n(r) = 6*r. Calculate m(n(o)).\nAnswer: -1166184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8084481 and 209?\nAnswer: 88929291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/717, 1, -0.1, -0.2, 0.4 in decreasing order.\nAnswer: 1, 0.4, 2\/717, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 13580 + 2*x**2 + 13571 - 27148 - 138*x to the form b + i*x**2 + q*x**3 + l*x**4 + g*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b78e (base 15) in base 9?\nAnswer: -658338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (-102214)\/1421 + (-6685)\/(-203).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j + 2*j + j**2)*(2 + 2*j - 2)*(5*j - 5*j + 4*j**2).\nAnswer: 8*j**5 + 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 17. Let l(a) = -4*a + 6. Let f(y) = 3*j(y) + 8*l(y). Let c be ((-70)\/(-21))\/(2\/12). Suppose 0*q + 4*q + c = 0. Calculate f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from {w: 4, r: 1, z: 3, s: 4, g: 1, f: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 17*x**2 + 38*x - 348. Let u be w(16). Put u, -1, -51, 3 in decreasing order.\nAnswer: u, 3, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (618\/(-21))\/(54*100\/(-4725)).\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + 4 + 1 + -5 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 14*i - 10. Let j be f(13). Suppose 15 = -4*t - j*d, 2*t + 4*d + 27 = 7. Solve t = 6*x - 2*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72*15\/480)\/((-21)\/56).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(55)\/sqrt(5))*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1106 - 557. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + 3*d**2 - d - 4. Let g(z) = 5*z**3 - 30*z**2 + z - 8. Let j be g(6). Let p be a(j). Calculate the greatest common factor of 105 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3323, 3324, 3325, 3326, 3327, 3328?\n\"Answer: g + 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234d40 (base 16) in base 7?\nAnswer: 25444001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.924231 rounded to three dps?\nAnswer: -0.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 5*t - 4*c = -20, -3*t = -4*c + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1865 + 1871. Solve -15*m + 36 = -x*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 39*m - 12893*m**2 + 25783*m**2 - 22 - 12889*m**2 - 154. Determine o(-43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1015 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + v**3 - 2*v**3 + (2*v**2 - 15 + 15)*(-28 + 28 + 15*v).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 169.8 * 0.3\nAnswer: 50.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.085026 - -0.085. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven quarters of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 4*o**2 - 3*o**2)*(-771*o**2 + o + 369*o**2 - 3 + 274*o**2).\nAnswer: -512*o**4 + 4*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 7 = 4*l. Let f(b) be the second derivative of -b**5\/20 - b**4\/2 - b**3\/2 + 2*b**2 + 2*b. What is the lowest common multiple of l and f(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/6 + 583*y**2\/2 = 0. What is y?\nAnswer: -1749, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 157? (a) -4 (b) 1\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(24)\/(sqrt(40)\/sqrt(5))) + 1 + sqrt(1539) + sqrt(931) + (1 + sqrt(931))**2.\nAnswer: 31*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -167. Let x = u - -102. Let m = 42 - x. Solve 2*j = 4*n - 14 - m, 0 = -n + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17160 and 3003?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 706*y + 1418*y - 699*y in the form d*y + k and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/1399, 0.04, 17 in increasing order.\nAnswer: -6\/1399, 0.04, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4 + 1498*p**3*t + 39324*t + 1 wrt p?\nAnswer: 4*p**3 + 4494*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 211299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 8:24 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5952631cm to micrometers.\nAnswer: 5952.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 = 4*h, -2*o + 2 = 59*h - 57*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.61 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -9, -50, -127, -252, -437?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsyggsgysg. Give prob of sequence gsg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1655 + -26489\/16. Calculate the common denominator of z and ((-46)\/10)\/((12\/5)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Is 39\/((-6)\/f) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 9.28.\nAnswer: -6.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by -27\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*h - 27*h. Suppose -2*p + 2*g = -7*p + 20, -2*p - 2*g + 14 = 0. Suppose -p*f + 8 = -4*z - h*z, 2*z + f - 4 = 0. Solve 0 = -z*t - t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*d = 38, m + m = -2*d + 20. Let g be 24\/(-36)*m\/(-4). Solve -2*v + 0 - g = 3*p, v = 5*p + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-7 + -7 + 5 + 2 + 9 - -39).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*l - 8 = -83*l. What is the third derivative of -1 - 85*n**5 + 608*n**4 - 201*n**4 - 204*n**4 - l*n**2 - 203*n**4 wrt n?\nAnswer: -5100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2.2 (c) -8995 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i + 5. Let y be v(4). Let m(p) = -5 - p + 0 + 6 + 2*p. Is m(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + t = 10, 2 = 3*d - 2*d - t. Solve -d*y = 2 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877622331 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, d: 2, w: 1, m: 2, h: 3, n: 2}. Give prob of picking 1 w and 2 m.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k - 3*k**2 + 16*k**2 - 18 - 5*k**2 + 4 + k**3. Let j be c(-9). Let 41*b**4 - j*b**3 + 2*b**3 - 40*b**4 - 1 + 2*b = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 - ((-24)\/(-3))\/(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:15 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 73?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2268\/(-48) - 11 - 3\/(-36)*(-18)\/(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205\/15*(-135)\/(-225).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = -3*k + 32, -4*w + 28 = 3*k. Let i(t) be the second derivative of w*t - 2\/21*t**3 - 1\/42*t**4 + 0*t**2 + 0. Factor i(u).\nAnswer: -2*u*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -b + 7. Suppose -2*q + 4*q + 12 = 3*r, 0 = 2*q + 3*r + 12. Let f be (-40)\/(-24) - 2\/q. Solve -f*d - b = c, -2*d + 16 = 2*d - 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, -4, 4, -2743, -2\/9 in decreasing order.\nAnswer: 4, 2, -2\/9, -4, -14, -2743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + -c?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81a47 (base 12) in base 14?\nAnswer: 458b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283012 rounded to three dps?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(494*a**3 - 35*a**3 - 250*a**3).\nAnswer: 209*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5411 + -0.79.\nAnswer: 2.7511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(6 + (-30)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -513*x + 56430. Calculate p(110).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5\/2. Let t = 171 - 26. Let f = t + -148. Sort 2, f, k in increasing order.\nAnswer: f, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 + 56*j**4 + 506*j**3 + 1388*j**2 - 1408*j - 7744 = 0.\nAnswer: -11, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - j)*(0 - 2 + 0) + (5*j + 6*j - 5*j)*(-2 - 3 + 4).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2531742159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26532, 52974, 79416, 105858?\nAnswer: 132300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2. Let j(x) = x - 5. Let z(t) be the second derivative of t**3\/6 - 2*t**2 + 15*t. Let f(d) = -4*j(d) + 5*z(d). Calculate s(f(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/13))\/(g\/(g\/(g*(g**(-1\/8)*g)\/g))) assuming g is positive.\nAnswer: g**(-11\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 + (-6 - -5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 84\/(-54) - -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 12 + -2 - (3 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - (-7 + -1 + -15 + 39).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 3 = -9*x. Calculate the common denominator of x and ((-4)\/(-16))\/((-155)\/6572).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4*-1*sqrt(700) + sqrt(700) + 2 + (sqrt(700) - sqrt(700)*-2) + -3)*2)**2 + 1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 6*q - 6*q + (-53*q - 118*q - 46*q)*(3 - 3*q - 3) to j*q**2 + w*q + d and give j.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 167\/5. Let j = -160 - -150. Let w be ((-20)\/(-80))\/((-1)\/j). Sort w, -1\/6, -0.2, c in descending order.\nAnswer: w, -1\/6, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249170 divided by -45.\nAnswer: 49834\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(2 - 15\/9). What is the third derivative of -t**4 + t**4 + 10*t**5 - 6*t**5 + b*t**2 wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3205, 3213, 3215, 3211, 3201, 3185, 3163?\n\"Answer: -3*c**2 + 17*c + 3191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -865*t - 102045. Determine x(-118).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.316741 nanometers in micrometers?\nAnswer: 0.008316741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 392\/133)\/(3\/(-6))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 9 = 0. Let u(g) = -g**3 + 12*g**2 - 5*g - 11. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 408*s + 10*s**2 + 428*s.\nAnswer: 4*s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-57)\/(-1463))\/(9\/74). Let x = u - -1\/77. Find t, given that -2\/3 + t - x*t**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 12. Let d(n) = -n**2 - 4*n - n + 4*n. Let j be d(-1). What are the prime factors of y(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -19, -53, -101, -163?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*b = -8, -8*b - 2 = k - 7*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - a + 29 = 0, a + 27 = 2*h + 2*h. Let u be 0 - (-20 - -12) - (9 + -1). Suppose -h*y - 179 + 579 = u. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (-5 + 1)) + -2135 + 2138.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g**4\/5 + 33147*g**3\/5 + 22026*g**2\/5 - 73596*g\/5 + 29448\/5 = 0. Calculate g.\nAnswer: -1227, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mldm. Give prob of sequence ld.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m - 207 = 84*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2)\/(-3 - -6). Suppose j - 28 = 3*o, -20 = -j - c*o - 5*o. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 - 5*n - 2041 + 5*n + 6*n.\nAnswer: 6*n - 2281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Suppose 4*x + 5*t = -2, 14 = 3*x - 0*x - f*t. Let l = 1 + 1. Solve -x*k - l = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiinviiiiiviiinv. Give prob of picking 1 n, 2 v, and 1 i.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 110 = 5*b. Is b bigger than 126\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -544798 and -1.222?\nAnswer: 544796.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/12 + 4*x - 1. Let u(w) = 5*w**2 + 11*w. Calculate r(u(b)).\nAnswer: 25*b**4 + 110*b**3 + 121*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g. Let m = -270 - -271. Calculate t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52066 is divided by 105?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 + 0.4. Let n = o - 0.010208. Round n to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 112 = 5*o. Let v(f) = -f**2 + 4*f - 6. Let c be v(5). Let d = o + c. Let p(m) = 3*m - 7. Let y(h) = 4*h - 8. What is d*p(x) - 5*y(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527*14.\nAnswer: 7378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87868393 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*s**2 + 58*s**2 - 27*s**2 in the form h*s**2 + l*s + r and give h.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.5, -2\/4573, -4?\nAnswer: -2\/4573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 140.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572526 divided by 306?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/(27738\/670 - 69).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (24\/77 + (-1770)\/(-3245))\/(4\/(-217))\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6 = -77*o + 74*o, -3*o - 18 = 3*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-14)*(-8)\/6. Suppose 5*p = -b*m - 13, 9 = 2*m - 5*m - 4*p. Put -2, m, -5 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2. Let i(c) = -154*c + 93. Let v(s) = -59*s + 36. Let d(g) = 12*i(g) - 31*v(g). Calculate m(d(j)).\nAnswer: -1444*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2194 - -2951. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7644205 is divided by 103?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 26. Let x = -1238.7 - -979. Let c = x + 260. What is the nearest to 1\/2 in m, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*l**3 + c**2*l + 36*l**4 - 31*l wrt l?\nAnswer: -6*c**2*l + 432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 224 = -t. Let j(r) = -t*r + 16*r + 12*r. Let i(y) = 2*y**2 + 4*y. Give i(j(k)).\nAnswer: 32*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, 1\/8, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 27*r - 65. Calculate the remainder when 253 is divided by s(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0 + 3. Let w = 2 - z. Calculate the remainder when w\/((15\/129)\/(-5)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdgp when four letters picked without replacement from {p: 2, a: 4, e: 1, g: 1, b: 3, d: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1306 = -13*u - 344. Suppose 4*g + 5*t - t + 40 = 0, t = 5*g + u. Which is bigger: g or -18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -14181?\nAnswer: -14181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2*w**6\/3 + 12*w**5\/5 - w**4 - 4*w**3 + 21. Factor x(j).\nAnswer: 4*j**2*(j - 1)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12186535 and -5.\nAnswer: 12186530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-4\/25)*(f*f*f\/(f\/(f\/((f*f**(-2))\/f*f)))*f)**16 assuming f is positive.\nAnswer: f**(2004\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119637 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.108161 kilograms?\nAnswer: 0.009108161","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1904 (base 14) to base 9.\nAnswer: -6163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 + -402423?\nAnswer: -403213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-13))\/(9072\/(-1611792))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c952 (base 13) in base 6?\nAnswer: -1453510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9122345 divided by -3.\nAnswer: 9122345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (-31 + 32 - (-2 - -16) - -26).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22.263 times 373\nAnswer: -8304.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v + 1. What is l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 136051, -4, -2, -3 in ascending order.\nAnswer: -4, -3, -2, 0, 136051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/4)\/x)\/x)**(-2\/33)*(x*x*x*x**5)\/x**(-2\/9))\/(((x\/x**(1\/9))\/x**(1\/8))\/(x**(-4\/7)*x*x**0)) assuming x is positive.\nAnswer: x**(14771\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - w**2 - w**2 + 2 + w. Let r = -24 + 7. Let o be r - -12 - -1*5. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -557316 and 316?\nAnswer: 557632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 33 (c) -19406\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 794352 and 1092.\nAnswer: 5560464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventy-five sevenths of a week?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-52)\/260).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 20, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1363)\/(-58))\/(2\/4) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243*a**2 + 2886 - 118*a + 279*a**2 + a**3 + 11961 - 532*a**2 wrt a?\nAnswer: 3*a**2 - 20*a - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h. Let m(g) = -24161062*g - 1. Calculate u(m(k)).\nAnswer: -72483186*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.502 minus -15292086991?\nAnswer: 15292086990.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15573 is divided by 336.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 28. Let i be x(-7). Let n = 2 + i. What is the units digit of ((-4)\/(-24)*-2)\/(-1)*n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6375900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/((-9)\/(-6)*14\/42).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 - l + 1. Let u be y(1). Let f(t) = t. Let o be f(u). Let x be (5\/(-4))\/(1\/4). Put x, -4, o in descending order.\nAnswer: o, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3 - 41637*k**2 - 48172485*k + 48214125 = 0.\nAnswer: -12605, -1275, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1592 (base 16) to base 6.\nAnswer: -41322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 63. Let r = 82 - w. Which is the second smallest value? (a) -0.13 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.5. Suppose -16*g = -15*g - 8. Suppose g*t = 11*t - 12. Which is the second smallest value? (a) f (b) 3\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/(-2) - 6)*(-29938)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 10*x. Suppose c + 5*z = -9, 0 = -3*z - 3 - 6. What are the prime factors of ((-9)\/x)\/(c\/(-40))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -5*i + 23 + b = 0. Suppose -3 = o - 3*f + 6*f, -i*f = 3*o + 1. Solve 5*k - o*k - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53000456, 53000458, 53000460, 53000462, 53000464?\nAnswer: 53000466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*y + 31*y - 112*y**4 + 72*y**4 wrt y.\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112.1783 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -905 or -904?\nAnswer: -904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -86 - ((-3 - 1) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -53460 divided by 3564?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Determine w so that 63*w**u + 6*w**3 + 12 - 60*w - 12*w**4 - 11*w**4 + 2*w**4 = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9072581 + 13872581. What is f rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-26) - (-1070)\/(-6955)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3*d - 18, 2*h - 5*d + 4 = -6*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/((f**(-2\/7)\/f)\/f)))**4\/(f**(2\/3)\/f)**6)**(2\/19))**49 assuming f is positive.\nAnswer: f**(-1092\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 67. What is w(-20)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29*o. Let u(f) = 75 - 192*f + 219*f - 28*f. Determine b(u(g)).\nAnswer: 29*g - 2175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6030313650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 21 = -3*q, -14 = 82*i - 85*i + 2*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + 1 + 20895\/42. Let t = z + -334. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/47? (a) 4 (b) -0.048 (c) -79\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 + 26*j + 46. Let c(a) = 3*a**2 - 9*a - 16. Let o(k) = -11*c(k) - 4*s(k). Let w(g) = 3*g**2 - 6*g - 8. Calculate -6*o(p) + 5*w(p).\nAnswer: -3*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*x**2 - 4*x**2 - 3*x**2)*(-3*x**2 + 5*x**2 - 3*x**2).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -44, 2, 1\/5, -0.5 in decreasing order.\nAnswer: 2, 1\/5, 0, -0.5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5940935 is divided by 436?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 + 7*o - 8. Let b be z(-8). Suppose b = p + p - 4. Solve -5*y + 3*k = -28, -2*y - p*k + 6*k = -14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639 - -648. Let w be 24\/27*(-3)\/(-4). Put w, p, 0.4 in descending order.\nAnswer: p, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 3*o**3 + 15*o**3 - o + 3*o.\nAnswer: 12*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) -2\/3 (c) 13 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3 + 12*t**2 + 78*t + 18. Determine a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90164096.\nAnswer: 2, 11, 64037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*q + 3*z - 12, 0 = -4*q - z + 21. Suppose 3*n + 4*c = 73, 74 = q*n - n + 5*c. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 184, 0.1, 1\/2, -10, -21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4197*-2423.\nAnswer: -10169331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1 + 7*a**2 + 8*a - 7*a + 0 + 3. List the prime factors of o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 - 36*j**4 - j**3*n + 2*j**2*n + 79*n wrt j?\nAnswer: -60*j**2 - 864*j - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3415 and -0.2.\nAnswer: -3415.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -6. Suppose u*q - 69 = 81. Suppose -q = -5*z, 0 = -5*f - 3*z + 10 + 15. Solve -3 - 1 = f*k - 2*i, -2*k = i + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 179.\nAnswer: 14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-6) - (-2)\/(-6). Suppose n*z - 5*z = -154. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373020879.\nAnswer: 3, 7, 11, 197, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 61, -7444, 5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -159.9797.\nAnswer: -319.9594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 80. Suppose -f + 27 = -4*g, 0 = -4*f + 5*g + 68 + k. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 77 = 1292. Let q = 379 - l. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.45452 and -19?\nAnswer: -388.63588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/3440)\/((-6)\/8)*-6. Which is the fifth smallest value? (a) w (b) -0.5 (c) 2\/19 (d) 3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/4 - 6977*l**4\/4 + 12046683*l**3\/4 + 429751489*l**2\/4 + 205833754*l + 101409297 = 0?\nAnswer: -33, -1, 3506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - r**2 + 6*r - 285 + 12*r + 266. Is 15 a factor of a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4737 (base 12) to base 5\nAnswer: 223323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 - 38772*o + 38768 = 0 for o.\nAnswer: 1, 9692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/9 - 48292*t\/9 = 0 for t.\nAnswer: -24146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (118\/(-14632))\/((-3)\/12)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260475 by -3473.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77785?\nAnswer: 5, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1939\/63 - (-4)\/18. Suppose 0*z = -3*z + 15. Suppose -4*t + 30 = 2*a, 0 = 2*a + z*t - 4 - b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(-4 + 1 + 1)*(-q + q - q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2772 + 393 = 5*y. Let l = -408 + y. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = y + 3*d, -4*d + 9 = 3*y - 8*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 15*u - 47. Let w be v(-10). Let y = 1 - 6. Put w, 4, y in ascending order.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (156 - -9)\/15. Sort -5, -4, 2, l in increasing order.\nAnswer: -5, -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*x - 565*x - 468*x = 3192 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 2*s + 1. Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -27. Let v = z + -66. Let a = -33 - v. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -31*j - 1. Let v be x(1). Let a = v - -53. Suppose -5*h - 205 = -5*u, -3*h + 4*h + 123 = 3*u. What is the remainder when u is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**5 + 5528*i**4 - 57*i - 316.\nAnswer: -160*i**3 + 66336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 + 44 = -4*m. Suppose -w = -i - 8, w - m - 21 = 5*i. Which is smaller: i or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2 + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(2 - 3)*2\/(-3). Suppose 0 = 3*r - l*r - 22. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*s**3 - 111*s**3 + 230*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -714, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.0708 + -0.0708. Suppose 0*g = -2*g + 44. Let d = -8 + 3. What is the biggest value in d, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/23, 27\/8, -1793, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311\/837 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001949005 rounded to 7 decimal places?\nAnswer: -0.0001949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose -6 = -x*h + 4. What is the remainder when 14 is divided by (-10)\/(-4)*4\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -7*k**5\/20 + k**4\/6 - k**3\/2 - 3*k**2\/2 + k. What is the remainder when h(-2) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*t**4 - 190*t**2 + t**6 + 2*t**6 - 67*t**2 wrt t?\nAnswer: 360*t**3 - 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 296 + -125. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 18*m - 9. Let y be b(18). Let l(n) = -16*n + 60. List the prime factors of l(y).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 13 = 4*l - 0*l, -3*l = -2*j - 6. Suppose l*o = -o + 15. What are the prime factors of (12\/10)\/(o\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/333 and 55\/962?\nAnswer: 8658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104557, -418269, -941151, -1673227, -2614521?\nAnswer: -3765057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 0 + 2 - 2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268187207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 7. Let g be 1\/1*-2 + d. Suppose 97 = g*w - z + 2, 5*w + 4*z = 70. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**7\/525 - 11*a**6\/300 + a**5\/5 + 11*a**4\/15 - 104*a**3\/15 + 807*a**2. What is s in v(s) = 0?\nAnswer: -13, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 319099*m**5\/30 - 11*m**4\/6 + 8*m**3\/3 - 289*m**2. Let u be y(12). What is u rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-719)\/5752)\/((-12)\/800)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-380)\/(-80))\/(-19))\/((-1)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = l - 63, 5*l - 5*w + 149 - 494 = 0. Let p = l + -61. Solve v = 2*k - 7 - p, 0 = -3*v + 5*k - 34 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/600*8*(-90)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*z + 58 = 0, 10*j = 12*j + 2*z - 20 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1775216833, 1775216831, 1775216829, 1775216827?\n\"Answer: -2*s + 1775216835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6343\/2 - -22300\/7. Let g = t - 57\/4. Let s = g + 15\/28. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2740 - -4077. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 2*z + 38. Suppose 4*u + 2 = -3*h - 6, 0 = h - u - 2. Does 19 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2289 and 425481?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) -0.5 (d) -7 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*(25 - (-25449)\/(-986)) - (-2)\/29?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17485 + 96072. Let r = n + -3695. Suppose i + 1135108 = -r. What is i rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 190, 418, 738, 1150, 1654, 2250?\nAnswer: 2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = 2*z - 11, -2*z = -4*i - 10. Suppose -z*w + 2*w = 3. Let q(x) = -x. Let y be q(w). Sort 2\/19, 5, y in decreasing order.\nAnswer: 5, y, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 633 - 647. Let m(o) = 27 + o + 0*o + 0. Calculate the remainder when 49 is divided by m(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 7*h**2 - 18*h - 136. Let i be l(-6). Let a(b) = 65*b - 1. Let t be a(1). Calculate the greatest common factor of t and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11271924 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2258 + 2.5998. Let l = 2.08 - q. What is l rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p + 11. Let j be v(13). Suppose -8*o = -10*o + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*z**4 + 17268*z**3 - 155199*z**2 + 2262*z = 0 for z.\nAnswer: 0, 2\/137, 13, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*g + 2. Suppose -185*k + 181*k = -52. Suppose -k*w = -18*w. Put 5, g, 3, w in increasing order.\nAnswer: g, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 5*u - 5, 0 = -4*i + 4*u - 8. Let w be (192\/20 - 3)*i. Let f = 37 + w. Solve -13 = f*q - g, 4*g - 8 = -q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356057 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*o + 265, -3*o - 62 = 114*a - 115*a. Solve -12*c = -17 + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -133*g - 35. List the prime factors of f(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*x + 32 = 0, 2*a + 25801 - 25807 = -5*x for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28650\/13 + -2204. What is the fourth smallest value in -168, d, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 3*o**2 + 2*o**2 - 2*o. Let j be h(5). Let c be (-2)\/(4\/j*-4). Solve 0*v + 6 = -2*g - 2*v, -15 = c*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 185 = o - 0*x, o + 5*x = 185. Suppose 12*u = 19 + o. Suppose -95 = -3*z - u. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 87*z - 579. Calculate s(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-216)\/40)\/(-9))\/(3\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68341 is divided by 4588.\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, 2\/3, -852?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/5 + 2\/(-5). Let i be ((-1)\/46)\/(2\/s). Suppose -35 = 20*r - 55. Is r <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*j = 4742, -5*y - 2*j + 3792 = -y. List the prime factors of y.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.13, -4\/7, -14, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1573) - sqrt(1573)*2) + 1).\nAnswer: -1 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44\/15 - -10\/3. Determine g, given that -6\/5*g**2 - h*g**3 - 4\/5*g + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331 (base 4) to base 3.\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 + 111*t**2 + 90*t.\nAnswer: -3*t*(t - 10)*(4*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -77 (b) 0.1 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {p: 3, f: 2, y: 3, w: 2, r: 6}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiiiooiioixxoi. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 87. Calculate the remainder when 94 is divided by t(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 1. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 bigger than -50462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.1. Let l be (-15)\/5 - (-70)\/22. Which is the closest to 0? (a) -0.2 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6012*f**2 + 19495 - 9748 - 9747 to z*f + m*f**2 + n and give m.\nAnswer: 6012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 9*w**4 + (-3*w**3 - 2*w**3 + 7*w**3)*(0*w + 3*w - 2*w) + 2*w - 3*w + w**4 - 83*w**3 + 74*w**3.\nAnswer: 12*w**4 - 9*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6991 and 741808019.\nAnswer: 6991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15311\/12 + 1273. Let q be 1 + 0 + 406\/20548. Let m = q + 12\/467. What is the common denominator of y and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6779904\nAnswer: -5\/6779904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 89 = -151*a + 154*a, 2*a - 2*q = -20 - 14 - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**7\/840 - q**6\/240 - q**5\/12 - 17*q**4\/24 + 99*q**2. Let i(m) be the third derivative of r(m). Determine i(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*c + 825 = 0, -8*z + 10*z - 4*c - 326 = 0. What is the remainder when z is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.1 + 16.96. What is l rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gniiginieqninneegnn. Give prob of picking 1 g, 1 e, and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891746 divided by -757.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)*8\/4164*9. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125772 and 83848?\nAnswer: 251544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.6 + 80. What is the second smallest value in -3, -1, o, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 8, -2476?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35748576*a*q**3 + 2613*a*q + 8808*q wrt q?\nAnswer: -214491456*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -3*l**3\/2 - 239*l - 10. Let b(h) = 58*h**2 + 4*h. Determine b(r(a)).\nAnswer: 4698*a**2 - 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6879.695 kilograms?\nAnswer: 6.879695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-34)\/153). Let f(b) = -3*b + 7. Determine f(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -198 in 0.1, 0.22, -4, -11\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(3 - 1 + 0) - 1 + 2 + 2)*(8 - 3 - 2)*(4*p**4 - 2*p**4 + 0*p**4).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - 0.2. Let i = 0.27 - v. Let u = -1\/500 + -249\/500. Which is the closest to u? (a) 0.2 (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4844 + 4846. Solve -63 = 4*w + 2*a - 61, w + f*a = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6478 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314001*b**4*d + 35*b**2*d + 2*b*d - 332*d + 16716 with respect to b.\nAnswer: 1256004*b**3*d + 70*b*d + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/774 and 61\/72?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 d when three letters picked without replacement from ogxgoooooggooxoygdxo?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 507*x + 492*x + 3.\nAnswer: -15*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17149661 times -3\nAnswer: -51448983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*i + 222 = -71, 2*i - 2 = 0. Let r = a - 11. Let j be 17*(-2)\/(-2 - 0). Calculate the greatest common divisor of r and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.419 + 1.819. Let l = -2.42 - -2.32. Which is the nearest to -0.1? (a) l (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -40. Let q = -162 - -177. Calculate the greatest common divisor of q and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 345 = -339. Let m(d) be the third derivative of -1\/6*d**h + 0 + 3*d**2 - 1\/180*d**5 + 1\/18*d**4 + 0*d. Factor m(q).\nAnswer: -(q - 3)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*m, -6*m + 5*y = -3*m. Solve m = -p + 2*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**3 - 1384*n**2 - 113484*n - 328104 = 0.\nAnswer: -217, -126, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgg when three letters picked without replacement from {z: 1, g: 2, v: 3, m: 10}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 1213*b**3 - 1214*b**3 - 3*b - 3*b**4 - 3*b**2 + 5*b**4 to the form g + z*b**4 + n*b + t*b**2 + u*b**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -483*a + 4 - 489*a + 976*a - 4. Let z(n) = 2 - 2 + 11*n. Determine z(l(j)).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72914953615\/16699840278 + -747780\/251269. Let s = -42\/1007 + i. What is the common denominator of -67\/18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26855?\nAnswer: 5, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -410?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -51. Suppose -r*h - 15 = 3. Is 0 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 4399.3673 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8879 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7946 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(96) - 1*sqrt(96))\/sqrt(4))\/(sqrt(144)\/(sqrt(192) - sqrt(12))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74947 divided by -1.\nAnswer: -74947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/((-168)\/7) + 2 + 35\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -16 - (0 - (-798)\/48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116691 = 647*a - 2536*a - 322592 for a.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1632\/10)\/((-18)\/120). Let r = 1838 + d. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/62317 - 4612358\/14021325. Find the common denominator of v and -12\/125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 3 - 1 + 2*k + k to h + j*k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:33 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k + 28 = 0. Let s be (k\/6)\/(2\/(-6)). Suppose -5*u + s = -3. Solve 5*d - u = 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -454290000 to the nearest 1000000.\nAnswer: -454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 135, 226, 353, 516, 715?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -342 + 1242. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/60 + k**2. Let y(h) = 10349 - 10349 + 2*h. Determine y(j(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 88*v - 167*v + 104 = -85*v, 58 = -12*p - 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddld when four letters picked without replacement from ltwlwdtwtddtttl?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 659942 (b) -1\/5 (c) -324 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 7. Let t(u) = 7*u - 12. Is t(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*r = -26, -60 + 52 = 2*r. Solve 0 = -2*q + 5 - 1, 23 = c*s - q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298*n = 8599 + 2992 + 28647 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (3 - (-1 - -7)). Let x = 4.3 + -4. Which is the biggest value? (a) -0.2 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, 12, 101?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -2*u**3\/3 - 25*u**2\/2 + 5*u - 1. What is the derivative of m(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by -103617.\nAnswer: -88\/34539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 - 5775*z**2 + 34743*z - 28965 = 0.\nAnswer: -1931, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 147 (c) 1212 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (5 + -3 + (-7 - -7) + -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/3 + 5*i**2\/3 - 2*i = 0 for i.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-12)\/(-4)) + (-996)\/1722*-7. Which is the nearest to l? (a) -1 (b) -4 (c) 23 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16817.\nAnswer: 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -10. Suppose d = -3*c + 7*c. Suppose 28 = c*n - 22. Calculate the highest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255093 is divided by 127078.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**8\/2240 + t**7\/252 + 7*t**4\/12 - 5*t. Let s(b) be the third derivative of p(b). Find the third derivative of s(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -14*a**5 - 24410*a**4 - 22570976*a**3\/7 - 111802352*a**2 - 63099680*a - 8976800 = 0.\nAnswer: -1603, -70, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 402*a - 400*a. Do a and -128 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:36 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -314 (b) 9\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from xxjjjxjjjj?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 220*m - 944. Does 6 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 52*h = -15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 72*z**2 + 106*z - 104. Is 3 a factor of m(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 - (-15)\/(-21). Let z = 1 + s. Suppose -8*u = -3*u - 3*v - 22, -2*v - 8 = -2*u. What is the nearest to -1 in -0.5, z, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12867, 13042, 13221, 13404, 13591?\nAnswer: 13782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Let p(d) = 2*d - 5. Calculate the least common multiple of p(3) and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/903 and -73\/17438134.\nAnswer: 52314402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/22, -6455, -1\/22?\nAnswer: -6455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15837901 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:51 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(8\/34)*207. Let f = 6374 + t. Suppose -y + c - 571 = -2*y, 4*c - f = -5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 861*g - 866*g + 3*m, -20 = 3*g - 5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 6:35 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 772, 1, -2, 4\/717.\nAnswer: -2, 4\/717, 1, 772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147723065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 3}. Give prob of sequence kkka.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -48, -45, -40?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 + -3 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*o - 11, -4*u = -3*o + 3 - 2. Suppose -v = u*v - 33. What is the highest common divisor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 - 494*c**2 - 16014*c + 1903230 = 0.\nAnswer: -159, -133, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -10) + 20 + -6. Suppose 7 = 6*v - p. Let k(a) = -a**2 - 6*a + 6. What is k(v)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435730 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 + 1. Let r be a(1). Let n = 4 + r. Let g = -8367 - -8372. Solve -g*q - 11 - 14 = n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 6*c - 4. Let j(y) = -17*y - 10 + 8 - 14*y**2 - 10. Let n(i) = 17*d(i) - 6*j(i). What is n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 27*w - w**2 - 4 + 49*w - 2*w**3 + 6 in the form g*w**2 + u*w**3 + p + a*w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 2723125 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4822 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 3*s + 4. Let z be h(0). Sort -3, 17, z in ascending order.\nAnswer: -3, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 954180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnw when three letters picked without replacement from {n: 1, y: 5, w: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 11 = -15. Sort m, 4, 3, -5 in increasing order.\nAnswer: -5, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8175)\/780*4 + 24\/26?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2) - 0)*1696\/(-636). Suppose 2*d - 7*d - 20 = 0. What is the second smallest value in -9, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -401 + 407. Let c(f) = -f**3 - 3*f**2 + 3*f + 2. Let l be c(-4). Calculate the highest common divisor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3 - 15\/7*l + 33\/14*l**2 - 22 + 3\/28*l**4. Let z(h) = 0. What is h?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3004467 (base 11) to base 10\nAnswer: -5320564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c - 5. Let f be j(-6). Let u(n) = -n**2 - 4*n - 6. Determine u(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 27. What is the greatest common divisor of 95 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 13*a**2 + 0*a**6 + 0 + 2\/525*a**7 + 0*a**3 - 1\/75*a**5 + 0*a**4 + 0*a. Determine b, given that d(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*14504.\nAnswer: 29008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 14. Give s(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(325))**2 + (sqrt(325) + -1*sqrt(325)*-2)**2)*-1*-3.\nAnswer: 30*sqrt(13) + 9753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:45 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*u - 2*u + 3*u)*(0 + 5 - 1) - 198*u + 4 + 213*u - 12)*(-3*u + 7*u - 3*u) to z + f*u**2 + p*u and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1156 and -50852.\nAnswer: -5878.4912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92646, 92447, 92248, 92049, 91850?\nAnswer: 91651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {i: 4, j: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2*w**5\/65 - 5*w**4\/26 + 6*w**3\/13 - 7*w**2\/13 + 4*w\/13 + 76. Factor a(u).\nAnswer: 2*(u - 2)*(u - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q + 90. Let u be o(-15). What is the closest to -3 in 2, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19757221.5412+0.4\nAnswer: 19757221.9412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3297*a**2 + a - 3491 wrt a?\nAnswer: 6594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35884490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313.7 minus 25356484?\nAnswer: -25353170.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**4 - 5*f**3 - 5*f**2 - 647*f - 1592. Let m(a) = a**3 + a**2 - a - 20. Let g(u) = -2*k(u) - 10*m(u). What is the derivative of g(t) wrt t?\nAnswer: -8*t**3 + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2)\/(6 + -7) - -1. Suppose -3*z = -3, -3*r - 5*z - 47 = -z. Let x = r + 25. Sort q, x, 2 in ascending order.\nAnswer: q, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16\/89 + 121\/178. What is the second biggest value in 6, -203, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 52. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101948 is divided by 946?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852652 is divided by 761.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + y - 41 = 0, 0 = 3*q - 131*y + 134*y - 33. Differentiate q + 4*h**2 + 4 + 67*h - 3*h**2 + 60 wrt h.\nAnswer: 2*h + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 4. Let p be o(3). Let n(b) = -b**2 - 4*b - 1. Let u be n(-3). Let s(z) = -10*z**2 + 5*z**u - 4 + 5 - z**3 - 2. Calculate s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*(-3 + 1*sqrt(1216) + sqrt(1216)) + (sqrt(1216) - ((sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216)))*-1 - sqrt(1216))) + 1) + 2)**2.\nAnswer: -40320*sqrt(19) + 1580836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - w + 5 = 0, -3*w + 25 = -2*b + 2*w. Suppose -5*n - r - 4*r + 50 = 0, b = 4*r - 8. Calculate the highest common factor of n and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.45921947 to four dps.\nAnswer: -0.4592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**2 + 3104*n - 3104*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.926*1.1\nAnswer: -1.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*q*y**2 - q*y - 70*q - 1 wrt y?\nAnswer: 148*q*y - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 + 751*f + 30. What is d(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*g**2 - 4 - 20*g**2 + 9*g**2)*(-12*g - 48*g - 56*g) in the form m*g + x*g**3 + b + k*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + 2 + sqrt(117) + 0) - sqrt(117))**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*(16\/1)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*t + 2*p + 2, t = 2*p + 12. Solve -2*v + 3*v + 4*q = 2, -t*v + q + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -4. Which is the closest to -2\/3? (a) 2 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.6046576 + 0.1\nAnswer: 33.7046576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in centimeters?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -3, -76, -663 in ascending order.\nAnswer: -663, -76, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -10. Let j = n + -6.2. Let l = -10 - -9. Are l and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 8:46 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -9715\nAnswer: -57\/9715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c4 (base 15) to base 16.\nAnswer: -43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 5*a**2 - 5. Let v(g) = g**3 - 2*g**2 - 2. Let w(h) = -4*t(h) + 9*v(h). Let n be w(-2). Factor -p**n - 3*p + 3*p + 4 - 5 + 2*p.\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -267 - 51. Let p = b - 194. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 12*f**3 + 2*f**3)*(2 + 4*f - 2)*(3 + 12*f - 1 - f).\nAnswer: -484*f**5 - 88*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -5. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 38*k - 6. Let s = 368 + -367. Suppose -3*b = -12 - 30. Calculate the remainder when c(s) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**42)**(-2\/57)\/((p**(-1))**(-1\/47)*p**(-4)*p**3) assuming p is positive.\nAnswer: p**(3506\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from {f: 1, u: 2, b: 6, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8.820077ml to litres.\nAnswer: 0.008820077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7.004. Let n = 35.004 + f. Let p = n - 34.951. What is p rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54469368 to the nearest integer?\nAnswer: 7380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2295803*l**5 + 6047016*l**2?\nAnswer: 137748180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/33359?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/7, -1, 2, -975?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 + n + 3. Let l be b(0). Let o(y) = -2*y + 3*y + 4*y**2 - y - 7*y**l. Let a(t) = -3*t**3 + 2*t**2. What is 9*a(x) - 4*o(x)?\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - -4*((sqrt(90)*-2 - sqrt(90)) + sqrt(90)))*4)\/((sqrt(2016)*2)\/(sqrt(7) + sqrt(112)*-2)) + 0.\nAnswer: 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -639 + 638. Let s(d) = -d**3 + 6*d**2 - 4*d + 5. Let g be s(5). Is r > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(7\/5)*u**(-1) assuming u is positive.\nAnswer: u**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 42, 122, 248, 426?\n\"Answer: z**3 + 14*z**2 - 9*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.43 and 20809049269.\nAnswer: 20809049258.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1895 - -2021. What is the highest common factor of l and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b - 12*b - 9*b - 2*b. What is the units digit of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 2, f: 4, n: 1, y: 1}. Give prob of sequence fsyn.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1290689*j - 1688054 wrt j.\nAnswer: 1290689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1792 = 135*b + 660 - 1433 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -20 + (49 + 8 - 24) + 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5109 and 364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24061*l**2*o**2 + 6531*l**2*o - 2*l**2 + 10*l*o**2 - 102283*l*o - o**2 + 2 wrt l?\nAnswer: -48122*o**2 + 13062*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**4 + 1462*u**3 + 2*u**2 + 340825*u wrt u?\nAnswer: -84*u**2 + 8772*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 2985*x**2 + 24120*x + 48400.\nAnswer: -5*(x - 605)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158491 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28241\/2 + 14127. Let r be ((-12)\/10)\/((-24)\/60). Factor 11\/2*v**2 + 5\/2*v - 3 - p*v**r + 3\/2*v**4.\nAnswer: (v - 3)*(v - 1)**2*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 380. Let h be d(-54). Suppose h*r - 405 = 1351. List the prime factors of r.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103512 divided by 256\nAnswer: -12939\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*w + 5*o, 2*w - 245 = -3*w + 4*o. Calculate the smallest common multiple of 98 and w.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 573 = 3907. Calculate the highest common factor of f and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78775939\/142796493 + -1345\/78159. Let s = -581\/16 + 454955\/12528. Let g = a - s. Sort g, -1\/7, -3 in decreasing order.\nAnswer: -1\/7, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 138430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, 34 in decreasing order.\nAnswer: 34, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -265 - -264. Let o(g) = -g**3 - 5*g**2 + 1. Let a(n) = -n**2. Give y*o(r) + 5*a(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -68184.84.\nAnswer: 68177.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-1*sqrt(84))\/sqrt(12) + sqrt(7) - ((sqrt(112)*2 - sqrt(112)) + 3*(0 + sqrt(7))))**2*6.\nAnswer: -2154 + 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, 34, -2.\nAnswer: -4, -2, 26, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39302*v + 39307*v - 2*g = -59, 17*v - g + 44 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-3*sqrt(275)*-6*-1)**2.\nAnswer: 28868400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34824 - -68272. What are the prime factors of m?\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*l - 1398, 34*l = 3*y + 36*l - 826. What is the remainder when y is divided by 261?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3515, -10215, -21363, -36959?\nAnswer: -57003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/3 - 72*f**2 + 652*f - 1736\/3 = 0.\nAnswer: -62, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z + 32. Let w be f(6). Let r be w\/(-6)*(-3)\/11. What is the nearest to 2\/7 in r, -2\/5, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c\/c**(-16)*c))*c)\/(c\/(c*c*c\/(c**(2\/47)\/c))*c)*(c\/(c*c**1*c))\/(c\/(c\/c**(2\/9))))**(-8\/17) assuming c is positive.\nAnswer: c**(-66784\/7191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 9*d - 5. Let c(q) = -2*q**2 - 5*q + 2. What is -5*c(b) - 2*f(b)?\nAnswer: 2*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -487*z**2. Let b(f) be the first derivative of -2*f**3\/3 - 5. Determine m(b(t)).\nAnswer: -1948*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/43? (a) -0.04 (b) -1\/8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 7, 0.2, 0.7, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 81931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 32 + 16 - 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/20 - a**4\/6 + a**3\/3 + 3*a**2\/2 - 53*a - 151. Let j(i) be the first derivative of y(i). What is j(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -19. What is the units digit of (-5 + s)*(-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 23. Is u greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*m - 4124, 4*c = c. What are the prime factors of m?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11)*1*-4.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51201 is divided by 17064.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(14355\/(-30)))\/(2\/(-3))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 4\/5*m**2 - 2\/5*m - 2\/25*m**5 + 2\/5*m**4 - 5 - 4\/5*m**3. Factor s(h).\nAnswer: -2*(h - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254 + 37.33.\nAnswer: 291.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1559, 8, -3.\nAnswer: -3, 6, 8, 1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8203*2)\/2 - (-3 + -2). Let q = b - -23289. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-23)*(j*j**(2\/15))\/j)\/(j\/j**(-12))**(1\/41) assuming j is positive.\nAnswer: j**(-14258\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.434987836 + 34.435. Round f to seven decimal places.\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x)*(4*x - 4*x - x) + 29 - 29 + 31*x**2 + 82 - 82 - 109*x**2.\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.7. Let b = -0.418 + 0.518. What is the second smallest value in p, -0.05, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89016122 - 3757\nAnswer: 89012365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**9)\/l)\/l**(-7))**(-10\/7))**36 assuming l is positive.\nAnswer: l**(-5760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -131, -357, -687, -1121, -1659?\nAnswer: -2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -53. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4898 by 106.\nAnswer: -2449\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2101*h + 868 + 2094*h - 4194*h to p*h + q and give q.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/(-1)*-5. Suppose 70*m - 251*m = 425*m. Is 37 a factor of m\/t + 142 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.08 - -0.08. Let y = p + 14. Let k = -9\/22 - 1\/11. Which is the second smallest value? (a) k (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 229953942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-5))\/((-10)\/925). Let r = -43 + c. Calculate the remainder when r is divided by 3\/((-6)\/(-16) - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276053 + 15458897\/56. What is the common denominator of d and 2\/4*5\/(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-19)\/((-133)\/168). Let a be 11\/((-77)\/p) - -5. Let 36\/5*r**a + 26\/5*r**4 - 14\/5*r - 6\/5*r**5 - 44\/5*r**3 + 2\/5 = 0. Calculate r.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37790?\nAnswer: 2, 5, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61910701 + 18403\nAnswer: -61892298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 14 = 5*k - 0*k, g + 12 = 5*k. Factor -9\/2 - 3\/2*d**k + 6*d.\nAnswer: -3*(d - 3)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 81. Suppose -13 + 33 = -p*k + 4*a, 3*k + a = 5. Solve -5*s - 16 = 3*v, 3*s - 5*v = -k*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 + d - 1 - 2*d. Let b(h) = h**3 + 3*h**2 - 4*h + 3. Calculate the least common multiple of k(-3) and b(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6375.35 and 49217.\nAnswer: 42841.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 7780.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -287 and 309156.3.\nAnswer: 308869.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 3, c: 3, m: 13}. Give prob of sequence ccq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4223 - -13882?\nAnswer: 18105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549626769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(684)*-1 + -1 - sqrt(684)) + (sqrt(684) + 1)*3)*-2.\nAnswer: -48*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f**5)\/f*f)\/((f**(-34\/5)\/f)\/f) assuming f is positive.\nAnswer: f**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1879*y - 1716*y + 8749*y - 1720*y - 1722*y - 1706*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3114)\/(-10) + (-42)\/105 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxx when four letters picked without replacement from sxxsssxsss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**4 + 1\/6*g**5 + 1\/6*g**3 - 1\/3*g + 1\/2*g**2 + 0.\nAnswer: g*(g - 2)*(g - 1)**2*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 5*f**2 + 4*f**2 - 4*f**2 - f**2 + 2*f**2 + (-1 + 0 + 0)*(1 - 1 - f**2).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Suppose h = -0*j - j + 7. Calculate the least common multiple of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 13, -8, 0, -14 in descending order.\nAnswer: 13, 4, 3, 0, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-77 + 32 - -26) + 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7674736ml?\nAnswer: 0.0007674736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**5\/30 - z**4\/12 - z**3\/6 - 73. What is r in d(r) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/13 or -11\/5846?\nAnswer: -11\/5846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) - (-31)\/11. Let k(a) = -a**3 + 2*a**2 + 5*a - 4. Let f be k(h). Suppose z - 9 = f. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 28*q + x + 701 = 0, 12 = 3*x. What are the prime factors of q?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.67 - -1.97. Which is the biggest value? (a) 0.17 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n - 2*n + 3*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 + 14280*n**3 + 0*n + n - 1 - n + 3*n - 14289*n**3 to the form p*n + j*n**2 + x + l*n**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 6 + 8\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4734.1 + -4734. Let v = 0.4 - -0.1. Which is the nearest to h? (a) v (b) 0 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7ce (base 15) to base 14\nAnswer: -905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2532?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from zygkryg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 162091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.993 + 0.007. Let i = -2.999887 + c. Round i to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - y - 4. Let w be b(-7). Suppose -24 - 26 = 2*r - 4*p, 4*r = -w*p - 100. Let o be ((-10)\/r)\/(4\/(-5)). Is o not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73910, -73853, -73756, -73619, -73442?\n\"Answer: 20*m**2 - 3*m - 73927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m**2 - 85*m**2 - 49*m**2 - 47*m**2 + 248*m**2 - 70*m**2.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 + 51*p + 18. Let y be j(-6). Let d(i) = -2*i - 3. Calculate the lowest common multiple of d(-3) and 10\/(-45) - (-260)\/y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 1670*m - 11935.\nAnswer: 5*(m - 341)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207629185.\nAnswer: 5, 347, 119671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*y**2 + 46*y**2 + 16*y**2 - 35*y**5 + 46*y**2 - 2 + y**3 wrt y.\nAnswer: -2100*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 6. Suppose -196*a + 10 = 10. Let o(f) be the third derivative of -1\/60*f**5 + 0 + 7*f**2 + a*f**4 - 1\/3*f**3 + 0*f. Give -8*o(r) - 3*w(r).\nAnswer: -4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 106\/(-5)) + 456\/570. Solve -h*y + 24*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45858069\/440 - 104223. What is the common denominator of s and 79\/10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 185, 549, 1213, 2267, 3801, 5905?\nAnswer: 8669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.66 + 30.84. What is k rounded to zero decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(88)\/sqrt(8))*6)\/(3*sqrt(640)*-3 + sqrt(640)) + 3.\nAnswer: -3*sqrt(3)\/32 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from sageo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/9 - 125\/75?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 663*r**2 + 36960*r + 36300.\nAnswer: 3*(r + 1)*(r + 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/137 - 284\/685. Is d at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 311\/5 + -62. Let c(f) be the second derivative of 0*f**3 + 1\/4*f**4 - 9*f + 0 + d*f**5 + 0*f**2. Find the third derivative of c(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = -2. Let k(b) = b**2 - b - 13. Let w be k(f). Let v = 38 - w. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948904 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2. Let x(q) = -4*q - 39. Let d(s) = s. Let m(h) = -6*d(h) - x(h). What is m(b(a))?\nAnswer: 4*a**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247537 - -495089\/2. Let s + 5*y - 5\/2*y**2 = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20985 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12283, 24618, 36945, 49258, 61551, 73818, 86053, 98250?\nAnswer: 110403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.592 - 15.058. Let d = o + -0.15. Let z = 16 + d. What is the closest to -1\/3 in z, -4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**7\/735 + 41*y**6\/420 - y**5\/5 + 585*y**2. Factor w(r).\nAnswer: 2*r**2*(r - 1)*(r + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 51*z + 47*z + 3 in the form i + x*z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 14*t - 4 - 3 + 2. Let a be u(-15). Calculate the highest common factor of 90 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*c + 2*q - 52, 104 = -2*c + 151*q - 176*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {b: 7, f: 4, i: 2, s: 3, n: 1, w: 1}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*a + 20, 0*a + 3*a - 3*l = 0. Let i(r) = 11*r + 2*r**a - r - 6 - 2*r. What is the remainder when 52 is divided by i(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9616711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/25)\/v**(-9)*v**24\/v**(11\/4) assuming v is positive.\nAnswer: v**(3017\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -584788.282 to the nearest ten.\nAnswer: -584790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 265c5?\nAnswer: 265c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 6, o: 1, b: 7}. What is prob of sequence bu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/101594844 and -43\/22.\nAnswer: 1117543284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5 + 2*x**2 - 4 - 1 - x. Let q be a(-1). Suppose 0 = -2*m + q*m + 2, 16 = z - 5*m. Solve -u - z + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 - -0.08. Let t = 0.1517 + 0.0483. Which is the closest to 3? (a) x (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u)**(11\/6)*(u\/(u*u*u*u**0)*u)**(1\/18))**(1\/10) assuming u is positive.\nAnswer: u**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/12 and -121\/190.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 438849 + -242558. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 201 + 198 + 38*u - 416 + 33*u**2. Is h(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3860 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7731 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*x + 31. Suppose x*y = 15*y + 10. Which is the smallest value? (a) 4\/3 (b) 1 (c) 1\/6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(153) + sqrt(153))*-4*2)\/(-3*sqrt(576)*-3).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37077336 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117346 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(0 + sqrt(832) + sqrt(832)))**2 + 2.\nAnswer: 266242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33*(-1947)\/(-15) + (-14)\/35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, -12 in increasing order.\nAnswer: -27, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {n: 4, t: 4, b: 3, m: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9083844 and 3027948.\nAnswer: 9083844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158096278.\nAnswer: 2, 971, 81409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 570792600 a multiple of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:16 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 468\/52 + 70\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19762055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba + 54?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/60 and -145\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337720*x - 337731*x - 1 + 1.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5, 9283, -363, 2 in descending order.\nAnswer: 9283, 4, 2, -1, -5, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1680, 5, 3\/2 in decreasing order.\nAnswer: 5, 2, 3\/2, -1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11*r - 60 = 0. Let i be (12 - 3) + r - 1. Let z(w) = -w**2 + 1. Let y be z(1). Sort 1, -1, y, i in descending order.\nAnswer: i, 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4054 (b) -2\/7 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 - 310*h + 733. Determine y(50).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u + 4*u + (-2*u + 2*u + 3*u)*(-1 - 2 - 1) - 2*u - 2*u + 2*u - 4*u + 2*u + 5*u - u - 4 + 3 + 2.\nAnswer: -8*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (2 + 5 - -6)) + 17 + -26.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*h**3)*(-h - h + 3*h) + 9*h**4 - 3*h**4 + 6 + 6 as t*h**2 + a + j*h**3 + r*h**4 + o*h and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/7 + 8*i**4 + 64*i**3\/7 - 5888*i**2\/7 - 33280*i\/7 - 51200\/7 = 0. Calculate i.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (0 - 2)) + 2. Solve v*y + 5*c - 25 = 0, 3*y + 9*c = 4*c + 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p**2. Let w(a) = -533*a**2 - 1173. Let f(d) = 178*d**2 + 414. Let t(u) = -17*f(u) - 6*w(u). Determine t(z(c)).\nAnswer: 62092*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 125 = -31*l. Solve -l*n - 18 = -3*k, 2*n + 5*k + 0 = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 685 + 283. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 1275 - 1284 = 0. Which is bigger: 6\/235 or s?\nAnswer: 6\/235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 12*a + 23. Does 3 divide w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446478.\nAnswer: 2, 3, 74413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12372*h + 13216 wrt h?\nAnswer: 12372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26.29619 minutes?\nAnswer: 1577771400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*v - 40, 2*v = 2*x - 0*x + 4. Factor -2*c + c**2 - 5*c**2 - 9*c**v + c + 2*c**3 + 12*c**4.\nAnswer: -c*(c - 1)**2*(3*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*22\/55 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -16. Suppose -56 = -w - f*w + c, c + 23 = 2*w. Let q be (w + -8)*2\/3. Solve -q*x - x = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/436 and 38\/545?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - a + 12 = 0, -5*g + 15 = -6*a + 2*a. Let v = -21 + 23. Suppose b = -g, -2*b = v*p - 116 + 30. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 + -188.63. Let j = -31313\/36 - -7826\/9. Is a <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13*q**3 - 4*q**2 + 4*q + 6. Let h(s) be the second derivative of -5*s**5\/4 - 7*s**4\/12 + 7*s**3\/6 + 11*s**2\/2 - 75*s. Calculate -4*h(f) + 7*p(f).\nAnswer: 9*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 1, t: 7, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 59*y**2 + 0*y**3 - 1\/150*y**5 + 0*y + 11\/60*y**4 + 0. Factor r(p).\nAnswer: -2*p*(p - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 7*o**2\/2 - 17. Suppose 3*a + 8 = g, -2*a + 3*g = -2*g + 27. Give h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-102))\/(28404\/(-2592) - -11)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + q**3 - 4*q**2 - q + 5*q**2 + 0*q in the form i*q**3 + c*q + a + b*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:39 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 331, 351, 383, 433, 507, 611?\n\"Answer: j**3 + 13*j + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 1:43 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 17 = j - 0, -m = 0. Let i(b) = 53 - 39 - j*b**4 + 5*b**2 + 7*b**4. Let y(u) = u**2 + 1. Let d(t) = i(t) - 5*y(t). Differentiate d(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x + 49. Calculate b(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 33 + 2*h**2 - 9)*(-4*h + 5*h + h).\nAnswer: 6*h**3 - 84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 - n + 3. Let u be t(5). Let d(g) = 4*g. Let o be d(-1). Let a = u - o. Calculate the lowest common multiple of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 26*z**2 - 116*z + 37. Calculate q(-20).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + 2*6. Suppose 4*o = -h + 10, 4*o + 2 = -3*h + 8. Solve 0*y + t = -o*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 85.3. Which is the fourth smallest value? (a) 2\/17 (b) q (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*f = 124, -f = -2*f - 2. Let z = l + -18. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 3*x**3 - x - 2*x**3)*(-8 - 12 + 21).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228 + 227. Which is greater: -3\/11 or z?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211206793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 9*g - 2. Let h be i(4). Suppose h*p + 208 = -242. Which is the closest to -1? (a) -0.5 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -279951750 at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13484 or -13466?\nAnswer: -13466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = o + 2*o. Suppose -3*h + 0*h = -o. Let a = 12 - h. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/28)\/(14\/24)*7. Solve 4*n + 5 = -r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/28 - (-379)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (2 + sqrt(1053) + 2 - sqrt(1053)) + (-3*sqrt(117)*-6 - sqrt(117))\/sqrt(9))**2.\nAnswer: 208*sqrt(13) + 8804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*(((-6)\/1)\/(-24))\/(2\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 - -4.27. Let y = -3.2 - -3.53. Let q = w + y. What is q rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241 - -120?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*y + 43, -28*k - 57 = -33*k - 2*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -74*v + 77*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(6100\/2040 - 3)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/32)*(u*u**(-9))\/u)\/(u**6*u**(-1\/17)*u*u*u) assuming u is positive.\nAnswer: u**(-8655\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p - 6. Suppose 5 + 7 = -3*h. Give w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.8 - 18.8. Which is bigger: s or -21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = r - 35 + 3, 27 = -5*x - 3*r - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4609110266 to the nearest integer?\nAnswer: 67890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62251*i = 62793*i - 18428 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 309 = 146*m. What is the third smallest value in -97, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsnnslllllnnsl. What is prob of picking 2 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p = 81*p - 18*p - 720. Let o(c) be the third derivative of 1\/3*c**3 + 1\/75*c**p - 11\/60*c**4 + 0*c - 32*c**2 + 0. Suppose o(h) = 0. What is h?\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667 + 661. Let c(q) = -q**2 - 11*q. Calculate c(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Calculate the remainder when (-2)\/(-1)*(2 + 2) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/60*(-80)\/(-44)*(-2)\/(-8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/240 + 129\/(-8) + 16. Sort w, -3\/4, -1\/2, -4, 5 in ascending order.\nAnswer: -4, -3\/4, -1\/2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**7\/840 - 7*m**4\/24 + 5*m**3\/6 - 7*m**2. Let k(c) be the first derivative of b(c). Differentiate k(w) wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -91. Let m(s) = 6*s - 95. Calculate the lowest common multiple of 8 and m(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {a: 5, n: 1, p: 4, c: 1}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7643, 15278, 22913?\nAnswer: 30548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1100*v - 563*v - 603*v + 1320 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen quarters of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 - -34?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) 2\/13 (c) -2\/9 (d) -1.4 (e) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -21*f - 5*z - 601, 0 = 3*f - 3*z - 879. Solve f = -6*r + 294 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143721 is divided by 1682.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*m - 10944 - 16575, 5*m + 16499 = 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/4 - 387*c**2\/2 - 23317*c\/4 + 12045\/2 = 0?\nAnswer: -30, 1, 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 3 + 214 + -194?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + d = -4*d - 6, 0 = -2*m - d + 2. Suppose -j - 2*g - m = -4*j, -3*g = 5*j + 3. Let w be j\/(2 + 12\/(-3)). Solve -y = 4*f - 5 - w, -3*f = y - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x**(-6))**(-1\/8))**6 assuming x is positive.\nAnswer: x**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 64 = -16. Find the third derivative of 5*w**4 - 6*w**5 + 49*w**2 - 1 - 5*w**4 + w**k + 3*w**5 wrt w.\nAnswer: -180*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 10*b = 118, 209*b + 81 = 4*j + 204*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let w(x) = 4*x - 3. Let p(h) = w(h) + 3*y(h). Let z(v) = -v + 1. Let o(c) = 5*c**2 - 3*c + 3. Let f(d) = -o(d) + 3*z(d). Give p(f(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27324054 and 2114.\nAnswer: 191268378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/(2\/5). Solve -3 + 3 + 8*w + 2 - 4*w + 2*w**n = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 406082, 10, 5, -3 in decreasing order.\nAnswer: 406082, 10, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4))**(-29)\/(w**(6\/5)\/w*w*w**(-15)) assuming w is positive.\nAnswer: w**(711\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/63 and -1\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15894 + -5831. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*a - 6186 + 3421 - 4231 = 0 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*b = -387*b. Solve -5*g - 8*g + 39 = b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 q(u) = 2*u + 1. Let a(w) = w + 17. Let x(n) = 3. Let s(f) = -6*a(f) + 33*x(f). Suppose i + 2 - 3 = 0. Suppose i - 34 = -3*g. Give g*q(y) + 4*s(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -37*v - 66. Let s be b(-2). Factor 262*w - s*w**2 - 480*w - 6*w**3 + 2*w**4 + 242*w.\nAnswer: 2*w*(w - 3)*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v. Suppose 2*p - 266 = -0*s - 4*s, 0 = 5*s + 4*p - 340. Suppose v = 3*n + n - s. Calculate the greatest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2\/129, 30\/23, -0.2, -6.\nAnswer: -6, -1, -0.2, -2\/129, 30\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 + -21 + -1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271891 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and ((-396)\/55)\/(3\/(-10))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 + 2*j + 2. Let b be (-6)\/(-9) + 16\/(-6). What is the lowest common multiple of 10 and z(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z**(-1))\/z*z)\/z**(4\/7))\/(z**(-2\/9)\/(z*z**(-5))) assuming z is positive.\nAnswer: z**(-148\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*k**2*u + 5444*k*l*u + 36*l*u - 22*l - 22*u + 1 wrt k?\nAnswer: -70*k*u + 5444*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6688 and 15204940?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(168\/(-10))*-6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (5 + -1)) + 16. Let h = t - 10. Suppose -h*o = -2*o - 16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, k: 1, w: 1, e: 1}. Give prob of sequence enk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -133. Let g = a - -46. Let o be 120\/476 - (-8)\/14. Sort 2, g, o in decreasing order.\nAnswer: 2, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0466 - 23.2534. Let k = f - -24.6. Which is the smallest value? (a) -1 (b) -1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 2*d - 15, 5*o - 13 = -2*d. Solve -7*t = -d*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*j - 1283 + 1500 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t**2 - 59*t - 95. Determine r(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*k + 9568 = 9565, 4*x + 5*k = -37 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(-1*sqrt(99))\/sqrt(9).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 7*v - v)*(-22 + 21 - 53)*(3*v**2 - v**2 - 4*v**2 + (v**2 - 2*v + 2*v)*(-5 + 4 + 2)) in the form j*v**3 + f*v + h*v**2 + m and give j.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3048)\/2540)\/(3\/660*-3)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142541*g**3 - 71348*g**3 - 70527*g**3.\nAnswer: 666*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 152 = -6*b + 54*t, 2*b = 2*b - 2*b - 2*t + 64 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from {v: 1, f: 1, a: 1, x: 2, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-88 + 95 + 0 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19587 - -489.3.\nAnswer: 489.10413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 8*a + 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-172 - -163 - (-7 + 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -161, -324, -487, -650, -813?\n\"Answer: -163*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -190*r + 3448. Let u be x(18). Solve -2*f = 3*f + 4*l + u, 3*f = l - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 19*y + 8. Give h(-10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p*w*y + 2*p*w - p*y + p + 4*w**2 - w*y + 178*w - 6*y + 1122 wrt w?\nAnswer: 2*p*y + 2*p + 8*w - y + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*c**2 + 2*c**2 + 3 + (-109 + 109 + 8*c**2)*(1 + 3 - 2).\nAnswer: 14*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 9*h - 2. Let q be r(8). Suppose 62 = 4*m - q. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*(537 + -538)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*o**2 - 83100*l**3 - 2760*l**2*o**2 - 12*l**2*o wrt l?\nAnswer: -12*o**2 - 498600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-20)\/(-6)) - (-4667)\/3590?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121474633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + 3.04. Let b = -3.2 + u. Let m = -2 - -1.5. What is the second smallest value in 3, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/18 and -109\/260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 8 + 12\/(-6) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/12*30\/4. Let u be (30\/s)\/((-2)\/(-16)). Let t(n) = 3*n + 11. Is t(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 - -1 - (-929 - -900)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) 45 (b) -0.2 (c) 4 (d) -31\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*u**4 - 33470765*u**3 - 11202897667290*u**2 + 15684108948640*u - 4481177810560 = 0. Calculate u.\nAnswer: -669416, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19055.2 times -2\nAnswer: -38110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140502 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -4*d, 0 = 5*d + 5*l - l - 7. Suppose -d*s - 17 + 65 = 0. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-6)\/40*2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 21*l - 17. Let x be f(-18). Suppose -238 + x = -i. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3ad1d (base 14) to base 3\nAnswer: -21101021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-644))\/((-12)\/7*(-10)\/20)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 92.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/(-25) - (-2)\/(-10). Solve w = -2 + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 4*n**2 - 2*n - 1. Let g be l(3). Let v be 58*(-2 + 5\/g). Let d = v + -21. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2623860 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376308 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 16*q**2 - 30*q - 32. Let t be m(-14). Sort t, -5, 5\/2.\nAnswer: -5, t, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 532*j + 533 = 0. Calculate j.\nAnswer: -1, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 78, 130, 188, 246?\n\"Answer: -s**3 + 12*s**2 + 11*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-150))\/((-8)\/(-395)) and 97\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1)\/sqrt(8) + 3)**2 - (-4 + sqrt(65)\/(3*sqrt(5) + sqrt(5) - sqrt(5))).\nAnswer: 17*sqrt(13)\/3 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 - 109776*g**3\/7 - 2306100*g**2\/7 - 4282864*g\/7 - 2086542\/7 = 0. What is g?\nAnswer: -19, -1, 54909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**2 - 154*d + 405. Let z(v) = 6*v**2 - 103*v + 270. Let t(k) = 5*p(k) - 8*z(k). Determine q so that t(q) = 0.\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - 59) + 2 + (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4223 is divided by 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -673\/3 at least -224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:22 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -43\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 35*w**7\/6 + 91*w**6\/2 + 487*w**5\/4 + 605*w**4\/4 + 280*w**3\/3 + 30*w**2 - 22*w. Let c(p) = 0. What is p?\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4293 - (1 + 1)\/(-15 + 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27*3)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10696 minus -582?\nAnswer: 582.10696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*c, 3*w = -4*c + 8*c - 3. Suppose 2*y - s - 4 = -6*s, -3*y + 6 = s. What is the least common multiple of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - ((-1641)\/(-15) - 14\/35). Let t = y + 111. Let u be 38\/475 - (-148)\/25. Is t > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112\/423 - 2\/47. Which is the third smallest value? (a) 2 (b) y (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 0, -10\/9, 18, 4\/5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 2187107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 47*z = 0. Solve -i + 5*m + 2 - 1 = z, 4*i - 5*m = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109852 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(141\/(-94))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/5, 5, -105, -12\/25, 2\/5, 2\/17, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 3\/4*h**5 - 25\/24*h**4 + 102*h**2 + 0*h**3 + 0 - 1\/8*h**6 - 1\/42*h**7 + 0*h. Factor d(u).\nAnswer: -5*u*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 + 4*z - 9. Let n = -8412 - -8415. What is t(n)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*h + 49*h + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13352 is divided by 4388?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 i when four letters picked without replacement from {o: 3, i: 4, a: 4, r: 7}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 6. Let t(k) be the third derivative of k**5\/10 + 3*k**3 - 2*k**2 + 63. Calculate 11*l(a) - 4*t(a).\nAnswer: -2*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 0.3 (b) 7 (c) -1\/3 (d) -0.3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83031 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/95 + (-32)\/(-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*s**4 - 78*s**3 + 29530*s**2 wrt s?\nAnswer: 912*s - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*j - 892*j = 2610 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 346232.1 kilograms in nanograms?\nAnswer: 346232100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19554, 19568, 19592, 19626, 19670?\nAnswer: 19724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 6289?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + d**3 - 6 in the form p*d + n*d**3 + s + i*d**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12341 - -1946\nAnswer: 14287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3745 + 5562. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let h(z) = -1019*z - 3. Let x(w) = -5116*w - 16. Let r(g) = -16*h(g) + 3*x(g). Determine r(s(y)).\nAnswer: -956*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/20 - v**4\/3 + 22*v**3\/3 + v**2 + 78*v. Find the second derivative of u(i) wrt i.\nAnswer: 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33021111 (base 4) to base 11.\nAnswer: -42678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842167038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maqvmmmmaamaimqqva. Give prob of picking 1 m and 1 q.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 138544*y - 1199652496 = 0.\nAnswer: 17318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 p when three letters picked without replacement from {p: 1, x: 2, t: 2, d: 2, c: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 25*a**2 + 147*a + 125. What is the remainder when q(-7) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 2*m**2 - m + 2. Let d be l(-2). Calculate the common denominator of 2\/(-11)*(-74)\/(-4) and d\/(-42) + 241\/63.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 39*d + 1. Let m(g) = 8*g. Determine -11*m(j) + 2*p(j).\nAnswer: -10*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 2004?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4361000 to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77299349?\nAnswer: 47, 1644667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 7:31 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3737851 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -6122?\nAnswer: 6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0584 and 0.098.\nAnswer: 0.0057232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10283309.03 rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 421159424 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/311 - 648\/4043. Let v = 158 - 157.853. Let q = 0.053 + v. What is the third smallest value in q, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 3\/7, -4, -105?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*-460.7\nAnswer: 2395.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77545253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 - 1 = 0. Let f = 13 + -8. What is the third derivative of q*r**3 + f*r**2 - r**3 - 3*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 5. Determine u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -10 + 28. Suppose 5*x - 6 = b. Solve -12 = x*l, -l - 11 - 1 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/2*n**4 + 5*n + 0*n**2 + 0 + 5\/6*n**3. What is the second derivative of t(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 54 = 7*h. Suppose 11 = r - 2. Let b = r + h. Solve -d = -5*g - 9, 2 = b*g + 5*d + 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 1:25 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.090307*0.3.\nAnswer: 0.0270921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196867 + 196894. Calculate the remainder when (-200)\/(-2) + 1\/1 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 48*d + 90*d**2 + 39\/2*d**3 + 0 = 0.\nAnswer: -4, -8\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 34*m**2. Let p(c) = 5*c**2 - 33*c - 264. What is p(y(t))?\nAnswer: 5780*t**4 - 1122*t**2 - 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2885, 870?\nAnswer: 2885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 3. Let s be 173038\/(-24) - t\/(-12). Let w = -7228 - s. Find the common denominator of -25\/7 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*p + 438*p + 1603 - 5887 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -219 and 11448.\nAnswer: -2507112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-90)\/4)\/(-9))*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-96)\/(-18)*3\/2. Let y(p) = p**3 - 6*p**2 - 8*p - 4. Let o be y(w). What is the highest common divisor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, -0.2, 0.1, 0.047, 61, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 34*z + 12. Determine q(4).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12385 + 12397. What is the least common multiple of r and 2716?\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533358499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 7) in base 3?\nAnswer: 21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3474396 divided by 868599.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 181.83.\nAnswer: 1454.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 111*w**2 - 814*w - 888. Give c(103).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 3*q + 4. Let u be l(-4). Let i(b) = 3*b**2 - 4*b - 1. Let h be i(3). Let v = u + h. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhhjhhhjhj. What is prob of picking 2 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 8. Let s be u(-8). What is the remainder when (s + 13\/3)*21 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1036 and 1841.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25520 and 49300?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - 0.6. Let f = 3.5 + x. Let l = 5 - 1. Sort f, 0, l in decreasing order.\nAnswer: l, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15352080 divided by 282.\nAnswer: -54440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 14306222.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Let q(j) = 2*j + c*j - 3*j + 3*j. Let i(n) be the first derivative of -n**2\/2 + 2. Calculate q(i(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.5288571 + -36.528. What is m rounded to five decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 5*g**2 - 36*g + 70. Let x be 1500\/175 - 6\/(-14). Let n be w(x). Calculate the highest common divisor of n and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/6)\/((-4)\/8*-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from xtjtqjz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136924856 and 24199?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 596 = 2196. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3215 divided by -602\nAnswer: -3215\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -41, -46, -71, -122, -205, -326?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 + 4*l - 8. Let t be j(5). Let p = 190 + t. Let q be (5\/(-1))\/(-2 - -1). Solve 6 = q*w - n, 10 - 2 = p*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 2*n**3 - 4 + 2 + 0*n**2 - n**3 as b + u*n**3 + p*n + g*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -453. Suppose -k = 5*v + k - 2204, -k = -4*v + 1758. Let m = v + p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 21*q - 15 = -n, -21 = -5*n - 3*q. Let c(y) = -8*y - 6. Let t(b) be the first derivative of -b**2\/2 - b + 1. Calculate n*t(a) - c(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 228032629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/125 or 5200?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 - 12*t - 24. Suppose 2*u - 5*w = 12, -68 = -0*u - 5*u + 3*w. Calculate the least common multiple of j(-8) and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/1128 + -14659\/5640. What is the fourth biggest value in i, -3, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 265*j**2 - j. Let i(m) = -101*m**2. Let u(a) = 5*i(a) + 2*r(a). Give u(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(s**4 + 3*s**4 - s**4).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 = 1, -3*z - 6 = 3*n. Suppose 2 = 5*a + 7. Let f be (2 - 1) + n - 2\/a. Solve 2*d = f*i - 4, -2*i = -3*d + 6*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-3 - -2))*49\/343. Which is the fifth biggest value? (a) f (b) 6 (c) -633 (d) 1\/6 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2231, 0.1, -115?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(28))**2 + 1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2224345053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*f + 22, g = -f - 37 + 35. Put 3, -3, -1, f in descending order.\nAnswer: 3, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -9)\/(12\/(-8)). Let o(r) = -4 + 20*r + g + 16*r - r**2 - 40*r. Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -31. Let h(v) = 3*v - 2. What is the least common multiple of h(3) and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 256 = -182. Let f(x) = 58*x**3 - 3*x**2 - x + 2. Let c be f(2). Let k = c - t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = 2*x, 18*p - 15*p = -5*x + 16. Sort -878, 4, 3, x in descending order.\nAnswer: x, 4, 3, -878","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5452, 5569, 5686, 5803, 5920?\n\"Answer: 117*h + 5335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4166, -4201, -4236, -4271, -4306, -4341?\n\"Answer: -35*o - 4131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*t + 0 = -1, -2*t - 16 = v. Let m(r) = -4*r**3 - 17*r**2 + 10*r - 3. Let q be m(v). Are 189 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:51 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eaiebae?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1515 + 643.5. What is a rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 65 = -a - 67, -5*c = a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50944 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(1\/4))\/p))**(-10)\/(p**8\/(p*p**(-2\/9))))**(1\/10) assuming p is positive.\nAnswer: p**(-53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28555*g*i + 22849*g with respect to i.\nAnswer: -28555*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t\/(t\/(t\/(t**(3\/23)*t))))\/((t*t*t**(-6\/11))\/t)**(-1\/16) assuming t is positive.\nAnswer: t**(19827\/4048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y + 179. Let v be c(0). Suppose -2*x + 1125 = -v. Does 34 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573664 by -4.\nAnswer: -143416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgmmmvmvmvvmme. What is prob of sequence ve?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*h = -21, -11*o + 2*h = 4*o - 0*h + 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 1, t: 6, v: 3}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 724 - 720. Sort 2\/27, f, -11 in ascending order.\nAnswer: -11, 2\/27, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 5, r: 10, s: 3}. What is prob of picking 1 s and 1 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101111 - 11001001100?\nAnswer: -101101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 24 = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*s + 923, 3*y - y - 3*s - 622 = 0. Suppose -4*x + y = -3*p, 6*p - 3*p - 95 = -x. Let j = -36 + x. Are 45 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 6. Let i be k(-7). Let x be i*(2 + 35)\/1. Let n = -5 + x. Solve -5 = -q + 2*s, -4*q - 4*s = s + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6175016 by -1543754.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v - 20 = 0, -2 = -2*t + v. Put -9, t, 4 in descending order.\nAnswer: 4, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5927 less than -183?\nAnswer: -182.4073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(196)\/(sqrt(126)\/sqrt(2)))\/((-5*sqrt(40)*1)\/((1*sqrt(100))\/sqrt(10))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 1. Let b be a(1). Suppose b = -4*p + 13 - 5. Is p*2*(-26)\/(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {m: 7, c: 1, s: 4, n: 2, h: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h**2 - 2*h + 1. Let s be n(-3). Solve s*c = 6*c + 15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*b - 2*b. Suppose -b = 6*g - 4*g. Let j(r) = -r**2 - 2*r + 2. Determine j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*t - 3*y = -231*t - 13 + 187, 18*t = 5*y + 324 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.121959l in millilitres?\nAnswer: 6121.959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 564377507939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 0.2, -13\/4, -2\/7, -38, 8?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24224924 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6751 and 224039?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -447*w**3 - 4573*w**3 - 2057*w**3 - 2050*w**3 - 7732 + 1543*w**3 with respect to w.\nAnswer: -22752*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 84 + 4*j**3 + 4*j - j**3 + 95.\nAnswer: 3*j**3 + 4*j + 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**2\/2 - 1431. Let n(y) = 147*y - 1. What is n(u(b))?\nAnswer: 147*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615 divided by 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - ((-1)\/2 + -2). Determine g, given that 1\/2*g + 0 - g**p + 1\/2*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/2 + 199029*o\/2 + 99516 = 0. Calculate o.\nAnswer: -1, 66344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 13095?\nAnswer: -13092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - c - 2*c - 69 = 0, -3*c = 5*b - 66. Suppose 0*m - b = m. Let o = m + 17. Solve r = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-25)\/30 - (-767)\/1416?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1904 - 3733\/2. What is the common denominator of 89\/8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 16*y - 12. Suppose -2*j - j = -18. Calculate the smallest common multiple of j and v(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5781540, 5781538, 5781536?\n\"Answer: -2*f + 5781542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 21*t - 53. Calculate the remainder when 105 is divided by c(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 less than 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195721 and 174.\nAnswer: 1174326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30456 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = -l + 5*l. Let w = 73 - 63. What is the remainder when l is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (-8 + 8 - -17). Let u(r) = r**3 - 8*r**2 - 8*r - 12. What is u(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100 + -10011011111100101?\nAnswer: -10011101000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 10}. Give prob of picking 3 h.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17ab3 + 16?\nAnswer: -17a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/50, 1\/3, -3\/7, 1?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjeejejjeejeejjeej. Give prob of picking 1 j and 2 e.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1670 divided by -5\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 569 + -570. Is p < 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2334 (base 7) to base 12\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 3*x + 10 = -40*m, -m + 2*x = -9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5629784463?\nAnswer: 3, 6337, 98711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 + 91*z + 162. Calculate c(8).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 1\/2, 5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 5:04 AM?\nAnswer: 403","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let v = 5 - w. Let t be 1\/((-3)\/10)*-6. Solve -2*b - v*b + m = -10, 5*m = 5*b - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10376380 to the power of 1\/2, to the nearest integer?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f - 213. What is d(-12)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46164758 to the power of 1\/2, to the nearest integer?\nAnswer: 6794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 7*h + 9. Let t be f(6). Suppose 4 = t*s - s. Suppose 0 = -s*w + 13 + 75. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1180\/296 + (0 - 0). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*q - 1512 = 106*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 550.\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 429.29441428882.\nAnswer: -429.39441428882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -2*t**2 + 12*t - 1\/12*t**4 - 7\/6*t**3 + 0. Give h(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51628714 to four dps.\nAnswer: 0.5163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c338 + -421?\nAnswer: 1bf17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y - 16 + 16)*((y + y + y)*(2 - 2 - 1) + y + 0*y + y) in the form l*y**2 + a*y + v and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213)\/(-2)*(19\/4)\/((-110238)\/(-15472))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 - (2 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 0 - 10*c**2 + 0.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-3 - -5) - (7 + -5 + 2) - -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*n**3 - 3*n + 323*n**3 + 5*n.\nAnswer: 5*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Let v(q) = q**3 - q**2 - q + 5. Let o be v(u). Solve 3*z - t = -3 - 2, 0 = t - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3994 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/8 + y**3\/6 + 3. Factor i(s).\nAnswer: s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 325*y - 7892. Give u(37).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 28 = -z + 5*x, 2*z + 4*x - 26 = 0. Suppose 5*j + 4*y = 871, -z*y = 8*j - 4*j - 696. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 1, m: 1, b: 1}. What is prob of picking 1 r and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*a - 1127*a + 1548*a = 3800 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + 2*t**2 - 34*t - 195. What is the ten thousands digit of i(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 1649?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/39*(-6)\/13*2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-9)\/6))\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l**(-4\/5)\/l)\/l)))\/l**(2\/17)*(l\/(l**2\/l))**33*(l\/l**(4\/7)*l*l*l\/(l**8*l))**(1\/14) assuming l is positive.\nAnswer: l**(-35949\/8330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13034120*3.\nAnswer: -39102360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*s + 21*s - 3*s**2 + 2*s**2)*(0 - 1 - 1) to the form z + y*s**2 + m*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3355 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26442 minus -1.1761?\nAnswer: -26440.8239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562 divided by 7.\nAnswer: 562\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 3*h + 1. Let g be m(5). Let l(v) = 13*v**3 - 11*v**2 - 11*v + 13. Let a(x) = 7*x**3 - 6*x**2 - 6*x + 7. What is g*a(w) - 6*l(w)?\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 50 (c) 2 (d) -1\/17 (e) 5 (f) -119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a + 6. Let p be (3\/a)\/(-4 - -1). Which is greater: p or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252080 = -72*v + 14*v + 489276. List the prime factors of v.\nAnswer: 2, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*s = -162. Suppose -s = -3*w - 3*m, 0 = 5*w - 3*m - 2*m + 10. What is the third derivative of -2*c**6 - 2*c**w - 3*c**2 + 10*c**6 wrt c?\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21355, 42707, 64061, 85417, 106775, 128135, 149497?\nAnswer: 170861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109590583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001135914 rounded to six dps?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-39)\/(j**(-1\/9)*j**(-2\/5)) assuming j is positive.\nAnswer: j**(23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15143, 15138, 15133?\nAnswer: 15128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*q**4 - 2*q**2 - 2 + 0*q + 376*q**4 - 17*q**3 - 5*q**4 - 39*q**4 + q to the form x*q**3 + i*q + g*q**4 + t + l*q**2 and give g.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/((b\/b**(-14)*b)\/b))*b*b**16*(b**(2\/3)*b*b)**(-2\/3) assuming b is positive.\nAnswer: b**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25058472, -50116937, -75175402, -100233867, -125292332, -150350797?\n\"Answer: -25058465*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2784830 is divided by 67?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 2, o: 1, w: 3, a: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from qqqqquqqqqqqqquqqqq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-2300)\/6. Let a = c - 196. Find the common denominator of -79\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -22204413031?\nAnswer: 22204413044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.49 + 0.01. Let p = -5.7 + 6. What is the closest to 2 in -4\/3, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(11\/(-704)*8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 2*b + (-3*b - 2*b + 3*b)*(-2 + 2 + 2) + 21 + 18 - 5*b + 14 + 4*b + 3*b - 5*b + (-2 + 0 + 0)*(-4*b + b + b))*(2 - 6 + 1).\nAnswer: 6*b - 159","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1125891095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from rrux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -11 + 4)*(1\/(-34) + (-193311)\/1598).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34751 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0*y**2 + 0 + 4*y**3 - 32*y + 0*y**4 + 31\/30*y**6 + 0*y**5. Find the second derivative of l(q) wrt q.\nAnswer: 372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k**2 + 17*k**2 + k - 10*k**2 as b*k + m + h*k**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 less than or equal to -3.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -348580374+-1\nAnswer: -348580375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 19*k**2 - 27*k - 3. Calculate p(17).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*1*-5 + (sqrt(384) - -1*(sqrt(384) - (-2*sqrt(384) + sqrt(384)))))\/((-6*sqrt(12)*1)\/(-2*sqrt(6)*6 + sqrt(6) + sqrt(6))).\nAnswer: -80*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfof when four letters picked without replacement from {o: 2, w: 3, f: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 3*s. Let i be 8\/(-20) + (-34)\/s. Put -5, -2, i in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821 + 2439 = 163*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422 + -179. Let u be 4\/16 + (-34)\/8. Calculate the remainder when r is divided by 1\/((-327)\/(-420) - (-3)\/u).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 22. What is a(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*s = 151*s + 423 + 76377. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6 - 511*u**4 - 12*u**3 - 92993*u**2.\nAnswer: -360*u**3 - 12264*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 2, a: 3, h: 6, w: 6}. What is prob of picking 3 a and 1 w?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 2271*q + 1140*q**2 + 86 - 45 + 377 + 716.\nAnswer: -3*(q - 378)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = 212. Let i be 74*((-2)\/(-4) - 1). Let t = i - b. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 186.100808053 and 77.\nAnswer: 263.100808053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123511 and 4.\nAnswer: 494044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -3befff?\nAnswer: -3bf011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 divided by -15?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(3\/2))*w\/(w\/w**18*w)*(w*w**(7\/2))**(1\/28) assuming w is positive.\nAnswer: w**(877\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-13 + -10 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 + 22*x**2 + 23*x - 8*x**2 to the form w + k*x**2 + u*x and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -130, 5494, 240?\nAnswer: 5494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(351\/26) + 4. Solve -o*c - 3*x = 0, -c + 20 - 15 = 4*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(16 + -1)*0. Suppose 2*c - 4*c + 52 = q. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -40, -112, -254, -490, -844, -1340?\nAnswer: -2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(48) + 4 + (sqrt(15)\/sqrt(45) - (sqrt(243) + 1 + sqrt(3))))*4.\nAnswer: -68*sqrt(3)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 - -10300012030?\nAnswer: 10300013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 - -348.378. Let z = n + -0.078. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 14 + 94 = 0. Let v = o - 46. Let h be (v\/7)\/(2\/(-14)). Solve 5*m + h = 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 65. Let l be j\/18 + -2 + -1. Let a = -5.2512 + 0.2512. What is the closest to l in -2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -1481.\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -l - 33. Let r(c) = 0 + 2*c**2 + 5*c - 3*c - 12 - l. What are the prime factors of r(-7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745.056 less than 7550?\nAnswer: 10295.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053 (base 6) in base 11?\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2042558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-4 + sqrt(3))) + 2 + sqrt(3) + sqrt(243)*4.\nAnswer: 6 + 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 683, 641, 603, 569?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.2 + -78. Which is the nearest to g? (a) 2 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 - 52*m**2 - m - 168. Let p(x) = -13*x**3 + 96*x**2 + 2*x + 308. Let v(j) = -6*p(j) - 11*r(j). Let l = 14 + -10. Give v(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 125*i**2 + 124*i + 236. What is x(126)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-15)\/(-4)) + 2955\/3940?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 8 - 412*c**3 + 14 + 384*c**3 - 37.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4)*4*1. Suppose -5*p = -o - 1 - 36, -5 = -p + o. Suppose b + 3*i + p = 0, -3*b - 2*i + 6 = -8*b. Put 5, n, 2, b in decreasing order.\nAnswer: 5, 2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + -18 + 21 + 0 - 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*t + 2*t**3 - 5*t**3 - 240*t - 9*t**3.\nAnswer: -12*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.27, -1\/4, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113302113 + -1103230?\nAnswer: 112132223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -90*m**2 + 358*m + 5. Determine g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 11*m**2 + 18*m + 10. Let p be a(-9). Let o = 114 + p. Suppose -3*g + 53 + o = 0. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 383 - 76 = -526. Let a(i) = i - 47. What is a(s)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1942*f - 3526. Let i be s(4). What is the highest common factor of i and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-984)\/3280*(-50)\/3. Solve -5*j + 4 = -4*k, -39 - 1 = -5*j - t*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 32. Let p(g) = -2*g - 33. Determine -3*p(h) - 4*u(h).\nAnswer: -2*h - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11245*o**3 - 9*o**2 - 3*o - 373. Let t(p) = -16867*p**3 + 13*p**2 + 4*p + 559. Let a(r) = -7*b(r) - 5*t(r). Find the third derivative of a(d) wrt d.\nAnswer: 33720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h - 7. Let k be u(-3). Suppose 2*s = 3*g + 40, 3*g = s + 3*s - k. Calculate the highest common divisor of s and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z = -20185 + 23785 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + p**3 - 1 + (0 - 4 + 6)*(-319*p**2 - 13*p**2 - 56*p**2)*(-2*p + 0*p - p)*(-1 - 2 + 1).\nAnswer: -4655*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*i + 1)*(-3*i**3 - 2*i**3 + 3*i**3) + (-77 + 27*i**3 + 77)*(-1 + 3 + 0)*(2*i + i + 6*i) as y*i**4 + n*i**2 + g*i**3 + d*i + o and give y.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 43 + 29 + 1032*a.\nAnswer: 1032*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -742, -736, -726, -712?\n\"Answer: 2*d**2 - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -201.\nAnswer: 100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1500, 1562, 1666, 1812, 2000, 2230?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 2*v, -5*k - 4*v + 9 + 13 = 0. Let s be (117\/(-27))\/(2\/6). Let j = -8 - s. Solve -4*w + j - k = -h, 2*h = 5*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 48*l + 60. What is the hundreds digit of m(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5, n = -2*s - 2 + 1. Let r be 2 - -3*(s - 5). Do -12 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*n**2 + 129*d**2*n - 4*d*n**3 - n**4 - 2*n wrt n.\nAnswer: -8*d**2 - 24*d*n - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 61021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -103*-1\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -19. Suppose -3*a + j + 21 = -s, 15 = -5*s. Suppose -5*g - 19 = -5*x + 11, -x + 2*g = -a. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -125*w**3 - 2*w**2 - 6*w - 3. Let q be f(-1). Do q and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (37 - (18 - (75 - 32)))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4264 = 7*c. Suppose r + 9367 = -c. What is r rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3 + 2. Let h(o) = -6*o**3 - o**2 + o + 1. Let u be h(f). Suppose -i + x = -5 + 1, 3*i - 52 = -u*x. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-102)\/(-21) + 1\/7. Suppose -y + l*y = 2337. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 972803.4 micrometers?\nAnswer: 0.0009728034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3251c (base 15) to base 5.\nAnswer: -20103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1641 - -689. Suppose 5*q - a = -5*o, 2*o + 1418 = 5*o - q. List the prime factors of o.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxww. Give prob of picking 1 x and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*x - 0*x - 13, 0 = -3*x - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, -2\/11, 28\/9 in decreasing order.\nAnswer: 28\/9, 0.4, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15363962 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let w = -78 - -55. Let n = w - -32. Solve 5*q - d - n = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - (1 + 0)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1500\/450*(-402)\/(-20)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, -68, 2\/11, 2, 4 in descending order.\nAnswer: 4, 2, 2\/7, 2\/11, 0, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + 6?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 3. Let u be a(-3). Suppose -r - 3*b - 8 = u, 0 = -5*r + b - 3*b + 12. Let i = r + 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4)*c\/(((c*c**(-2\/7))\/c*c*c)\/c))\/((c*c**2*c*c)\/((c*c**(-3))\/c)))**(-16) assuming c is positive.\nAnswer: c**(304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/19 - 17154*o\/19 + 291040\/19 = 0 for o.\nAnswer: 17, 8560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3884 and 28?\nAnswer: 27188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*(p*p**(-24\/7)*p)\/p)\/(p**19*p\/(p**(-40)*p)) assuming p is positive.\nAnswer: p**(-409\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1485 = -2036*u + 2135*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 + 10*u - 6. Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 508 = 4*v, -4*z + 204 = 2*v - 26. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -9. Find the common denominator of ((-6)\/(-18))\/(j\/(-186)) and 81\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 8*x + x)*(0 - x**3 + 0) + (-2 - x**3 + 2)*(54 - 54 - 15*x) in the form u + h*x + m*x**2 + o*x**3 + s*x**4 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 16. Let w be c(-5). Let i be (-4)\/(-20) - 34\/(-5). Suppose -g - i = -3*g - 3*k, 4*k = -3*g + 10. Put -5, w, g in increasing order.\nAnswer: -5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)*g*(g\/(g\/g**(-5)*g))\/g*g)\/(g**2)**(2\/71))\/((((g**8*g*g)\/g)\/g)\/g**(-6))**33 assuming g is positive.\nAnswer: g**(-165947\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 - 3*c**2 + 2*c**2)*((0 + 1 + 3)*(1099 + 27*c - 1099) + 4*c - c - 5*c) as w*c**3 + p*c**2 + o*c + v and give w.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*i + 9810764 = 149*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83\/72 + 2\/8. Let g = 13\/8 - w. Sort g, 22, 1 in decreasing order.\nAnswer: 22, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3181\/9 - 1103825\/3123. Which is the second smallest value? (a) i (b) -1 (c) -0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**(2\/7)*l)\/l)*l)**39*(l\/(l**(-1)*l)*l)\/((l**(-3\/8)*l)\/l))**(-9\/2))**(-18) assuming l is positive.\nAnswer: l**(314037\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -0.3 (b) -2\/7 (c) -579\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Find the second derivative of -m**4 + 41*m - 39*m - m**g wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28344754 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-2)\/6)\/(9\/378*6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/(2\/52). Let q = -25 - p. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 - 94. Let x be -3*2280\/w*6\/(-4). What is the greatest common factor of 247 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/70*(-75)\/(-2)*(-64)\/48?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 q when four letters picked without replacement from llgqllqolglqm?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let o(z) be the second derivative of 0*z**2 - 6*z + 2\/3*z**3 + 0. Determine o(b(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (2 + -3 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6623, -26472, -59555, -105872, -165423?\nAnswer: -238208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*v + v + 14, -3*v + 23 = 4*r. Suppose 0*w - 4*h + 35 = -r*w, 0 = 4*h - 20. Let k = w + 16. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*v = -75, 1115*g - 22 = 1113*g + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2 - d - 4 - 5*d. Let x be l(-7). Suppose 0*f - x = -4*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -4778, -16140, -38172, -74408?\nAnswer: -128382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(4)*-1)\/sqrt(3))**2 + ((sqrt(98) + 0)**2 - 6*sqrt(6)\/sqrt(3)).\nAnswer: -6*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (46\/(-69))\/((-1)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 25*a + 3*a + 0 - 2. Let l(g) be the second derivative of -g**4\/12 + g - 2917. Give d(l(y)).\nAnswer: -28*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 38933*d**3 - 2*d**2 + 123*d - 121. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 460 = -7*k. Let f = k - 110. Solve y + 10 = f*l, 2*y - 3*y - 5*l + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*14\/462*-11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 90, 125, 178, 255, 362, 505, 690?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 15. Let a be (-1 + (-36)\/20)\/((-8)\/20). Let q be 2 - a\/((-7)\/6). Suppose 0 = q*w - 4*w - 28. Calculate z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96\/289 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4862 by -1.\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 + -268. Suppose 0 = 4*y - 4*c - s, 3*y - 4*c = -8*c + 79. Solve -11*j = y - 76 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/8 + 5*f**2. Let j(s) = 8*s**3 - s**2 - 7*s + 3. Let h be j(5). Let u(t) = 943*t - t**2 - h*t. Give r(u(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42639223 and 4587?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475504 and 6441.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/12 + 7*c**3\/6 - c**2 + 592*c. Let r be 8\/6 + 2\/(-6). Suppose -x = -u - 8 + r, 3*x = 2*u + 20. What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -35, -72, -129, -212, -327?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 288259 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let r(k) = k**3 + 4*k**2 - 5*k + 4. Let y be r(-5). Is 46\/4*(w - y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154729.\nAnswer: 179, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))\/p**1)\/(p\/p**(2\/5)*p)**(10\/7)*p**5*p**(-3)*(p\/(p\/(p*p**(4\/7)\/p)))\/(p\/(p**(-2\/15)\/p)) assuming p is positive.\nAnswer: p**(-89\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9ba + c?\nAnswer: -c9ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2565 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -3*f - 13. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2296*j**2 + 11*j + 1919. Let c(d) = 1722*d**2 - 8*d - 1439. Let r(k) = 11*c(k) + 8*h(k). What is the derivative of r(x) wrt x?\nAnswer: 1148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211532?\nAnswer: 2, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -4. Calculate the remainder when 20 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, -0.1, 0.067, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*t - 11, 0 = t + 4*t + 15. Let u be (-14)\/49 + r\/(-7). Calculate the common denominator of ((-1)\/(-36))\/(u\/(-10)) and 37\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*p + p = -80563, -6 = 3*p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(3 - 0) - 3311\/220) + 250 + -236.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/5 (b) 3 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1693 times -6\nAnswer: 10158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 9. Calculate x(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207124*m + 23 = -207123*m + 4*q, 0 = -168*q + 1008 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -278*y - 267*y + 5*y**2 + 1097*y - 5 - y**3 - 270*y - 274*y. Let c(d) = d**3 + 3*d**2 - 6*d - 2. Let u be c(-4). What is j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/1 - -5) + 31. Suppose 75 = x*v - 17*v. Solve 1 - 6 = -v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34944 + -244596\/7. Factor -80\/7*l - 2\/7*l**4 + 16\/7*l**3 - k*l**2 - 50\/7.\nAnswer: -2*(l - 5)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5\/2*c**2 + 5\/6*c**3 - 1\/12*c**4 + 0 - 3\/20*c**5 + 8*c. Let v be x(-2). Calculate the greatest common divisor of v and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.579078 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 13. Let h be q(14). Suppose 2*g - 5 - h = 0. Suppose 0 = -4*f - 16, 3*j + f = -g*f + 1049. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4*(-360)\/(-450). Put -2, s, 119 in descending order.\nAnswer: 119, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62696479, -62696480, -62696481, -62696482, -62696483, -62696484?\nAnswer: -62696485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-316)\/2765.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 795 + 412. Suppose -2*i = 3 - b. What are the prime factors of i?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33314 in -0.7, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, -0.69, 0.381?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (22 - 6)) + 37\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 22286210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 16, 3*b - 2*b - 8 = -i. Suppose 9*h - b*h = 140. Suppose -4*s - 28 = -4*k + h, 3*k + 5*s = 66. Solve 2*n - 5*c = 16, -5*n - 5*c - 13 = k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*3.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 563*x**2 - 5056*x - 87. What is l(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8408111 is divided by 765?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 1010*h**2 + 131 - 1012*h**2 - 34 + (2 - 4 + 4)*(4*h**2 + h**2 - 4*h**2) + 0*h**2 + 6*h**2 - 4*h**2 to the form n*h + r*h**2 + o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 - y + 1. Let c(i) = 2*i**3 - 4*i**2 + 5*i - 7. Let r(v) = c(v) + 3*d(v). Let p be r(-3). What is the units digit of (-4)\/p - (-21)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/180 - 14*p**5\/15 + 60*p**4 - 1728*p**3 + 2720*p**2. Let m(r) = 0. Calculate r.\nAnswer: 12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from snllnlllnddddr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((2*7\/14)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 5\/4, -5, 5\/2, 32, 1113, 0.2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -59. Let t be 2\/10 + h\/15. Suppose 0 = t*o - 9 - 3. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -669 or -315356\/471?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-240)\/28)*4\/14\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*v + 774 = 0, 1182 = -0*c + 3*c - v. Put -2, 4, c in decreasing order.\nAnswer: c, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-14) - 2\/7. Let s(x) = x**3 + 7*x**2 + 6*x + 8. Calculate s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 1282 + 27*q + 1282.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 36 = 13*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7213 divided by 720.\nAnswer: 7213\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.4 (b) 28 (c) -0.2 (d) 5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002285 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -89. List the prime factors of 282\/(-8)*q\/15.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 12 = 3*c, -2*c + 2 = 2*c + 3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15633, -15640, -15657, -15690, -15745?\nAnswer: -15828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43142222122 - -12?\nAnswer: -43142222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -733*q. Let w(r) = 17*r**2 - r. Determine u(w(x)).\nAnswer: -12461*x**2 + 733*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 15. Let x be b(15). Suppose 0 = h + 4*h. Suppose -c - 3*c = h. Are x and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 99 = 8*m. Find the second derivative of 10*b**2 - 3*b**2 + 15*b + m*b**2 + b**2 wrt b.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15958322*h*r**3 + 116*h*r**2 - 31773*h*r wrt r?\nAnswer: 95749932*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 258 = -248 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 88884994?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 - 1 + 2*n**3 - 1 - 3*n**3 as l*n**2 + w + x*n**3 + s*n and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1)*k**(-4\/3))\/(k\/k**(-3)*k**2))\/(k*k*k**9*k**(2\/7))**(-37) assuming k is positive.\nAnswer: k**(8636\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51303 (base 9) in base 12?\nAnswer: -17670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21707 and 297920.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*v**2 - 434*v**2 + 862*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 109. Calculate the highest common divisor of 182 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -3\/4, 1, 4.26, -1, 3 in decreasing order.\nAnswer: 4.26, 3, 1, -1\/7, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230625340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 15*i - 8. Let j be o(-13). Let h(c) = -c**2 + c + 212. Let y be h(0). What are the prime factors of y\/j + 8\/36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41204, -41096, -40986, -40874?\n\"Answer: s**2 + 105*s - 41310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, 101.\nAnswer: -1, 3, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:48 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10745*f - 53741. What is u(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 114, 383, 906, 1767, 3050, 4839?\nAnswer: 7218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in -3\/2, -2, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q - q + q)*(-2 + 1 - 1) + 28 + 9*q - 28 + 3*q + q - 2*q)*(13*q + 16*q - 10*q).\nAnswer: 285*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 20. Let h(p) = -5*p. Calculate h(z(a)).\nAnswer: 10*a + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125274 divided by 2?\nAnswer: 62637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5360251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20101212 - 20233?\nAnswer: 20020313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249800 and 5272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -47 + 47 - (-1)\/(-4). Which is the smallest value? (a) w (b) -75 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*-2*3)\/((sqrt(88)\/sqrt(2))\/sqrt(4)) + (sqrt(242) - -2*sqrt(242)*-1)*-5)**2.\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/96 and 133\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046454840 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2 + 76935*k + 230778 = 0.\nAnswer: -25642, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100011101 (base 2) to base 8.\nAnswer: 20435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:55 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 122?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/15)*q)\/q)\/(q**(-17)*q))\/(q**(-4)*q*q**21*q) assuming q is positive.\nAnswer: q**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from {f: 1, b: 1, c: 3, n: 2, l: 7}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 17*n - 12*n. Which is bigger: n or -12\/29?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-24) - 3\/9. What is the second smallest value in 1\/5, s, 4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*y - 35, 47786541*y - 47786546*y = -2*w - 56 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 326570 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 360990.\nAnswer: 721980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/343 and -23\/36848.\nAnswer: 257936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1669836*n + 666143*n + 1149*n - 4379740*n.\nAnswer: -5382284*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-10)\/6)*(4 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 494*r**2 - r - 1. Suppose -2*a + 5*k + 14 = 0, 5*a - 21 = 2*k - 7. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 19, 67, 135, 223?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*c - 314 = -c, 0 = 3*j + c - 190. Let h = j + -41. Suppose 0 = 2*f - h - 43. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*f - 18 = 0, -3*a - 4*f - 1 - 9 = 0. What is the highest common factor of 14 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*i + 14*i - 8*i**2 + 4*i**2)*(-834*i + 337*i + 103*i)*(-4 + 6 - 1) to t + z*i**2 + j*i**3 + h*i and give j.\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 + 14*o - 18*o + 3*o**4 to z*o**3 + h*o**4 + l + x*o + p*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5964623?\nAnswer: 7, 121727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 102*a - 313. Let y be f(3). Is -216 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17244543 and 5.\nAnswer: -17244538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d**2 - 3*d**2 + 8*d - 8*d + 18*d**2 + (2*d**2 - d**2 + d**2)*(1 + 2 + 2) - d**2 + 0*d**2 + 2*d**2 + 2 - 2 - 2*d**2.\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18831 - 18083. What is the greatest common divisor of 187 and m?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/(-6))*(27 - (-58828)\/(-2178))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 37*b**2\/2 - 21. Let n(u) = -u**2 - 4*u - 4. Let w(l) = -l**2 - 5*l - 5. Let v(y) = -5*n(y) + 4*w(y). Give q(v(s)).\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*r - 10*r + 14, 3*o + 8 = -2*r. Put -5\/2, -2\/9, o, 0.8 in descending order.\nAnswer: 0.8, -2\/9, -5\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5\/4 - 69*t**4\/2 - 99*t**3 - 195*t**2\/2 - 129*t\/4.\nAnswer: -3*t*(t + 1)**3*(t + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1392612.\nAnswer: 9748284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 2. Let o be j(-2). Let z = -24 - -13. Let w = o - z. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114572?\nAnswer: 2, 31, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -591 - -596. Let j(u) be the first derivative of 9 - 1\/5*u**v + 7\/2*u**2 + 0*u**3 + 0*u + 0*u**4. What is the second derivative of j(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*180\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -373, -300, -227, -154, -81?\n\"Answer: 73*r - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-108)\/45 + 3 - 1376648\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = -2*y + 30, -47 = -3*o + 2*y. Solve 1 - o = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 27*l - 24 = 0. Suppose -2*a = 2*g - 3*g - l, -28 = -4*g - 4*a. Let o be 1\/(4*(-6)\/4). What is the closest to 0 in 2\/11, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 2*l**3 + 3*l**3)*(-138544 + 138544 + 151*l).\nAnswer: 755*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(200) + 0 - sqrt(200))**2*-3 + 4*(-1 + sqrt(200))**2 + ((-2 + sqrt(200) + 0)**2 - sqrt(200)) + -1*(sqrt(200) + 0) + -2.\nAnswer: -140*sqrt(2) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-15)\/4 + 5\/(-4). Let f = x + 23. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 3\/4, 3\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 794*h**3\/3 + 2095*h**2 + 2396*h. What is the first derivative of g(m) wrt m?\nAnswer: 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -1\/2*h**2 + 2*h + 0 - 1\/6*h**3. What is the units digit of s(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*f - 17, 4*s + 2*f = 19 + 3. Suppose -62 + 8 = -18*j. Differentiate -o**4 - o**s + 2 + j - 2 wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283\/418 + -5\/38. Let n = -10 + 11. Is n smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 12*c - 128. Solve c*y - 9 = 87 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15906260.\nAnswer: 2, 5, 617, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332 divided by -17.\nAnswer: -332\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 + 111*z**2\/5 - 1008*z\/5.\nAnswer: -3*z*(z - 21)*(z - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/2370099 and -10\/9.\nAnswer: 7110297","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*g**4 + 2*g**2 + 920.\nAnswer: -72*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1584)\/40392)\/((-3)\/(-102))*(-87)\/16?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -21 - (-11 - -34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 7}. Give prob of sequence vvnv.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -8\/211 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11562 and 263104900?\nAnswer: 263116462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 544*j**7\/105 - 4*j**5\/5 - 29*j**4\/12 + 4026*j**2. What is the third derivative of r(t) wrt t?\nAnswer: 26112*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045075 to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410*j + 2711 = -298*j + 8513 + 11990 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in -0.2, -5, -212?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2431 - 2399. What is the highest common factor of h and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -20*m**5 - 77365*m**4 - 76886020*m**3 - 4002405710*m**2 - 54018139680*m - 13255585605 = 0.\nAnswer: -1907, -27, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 2515, 6580, 12511, 20308, 29971, 41500?\nAnswer: 54895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d - 3*n = -5, 0 = -d - 5*n + 16. Let t be (-1 - 8 - d) + 1. Is 32 + -3*3\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**6 + 58104*c**4 - 2*c**2 + c - 20770.\nAnswer: 600*c**3 + 1394496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*v**3 - 967*v**2 - v + 6364227.\nAnswer: -15*v**2 - 1934*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333)\/555*465\/(-2) - -13)*4\/30.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/7 + 39*b**4\/7 - 57*b**3\/7 - 435*b**2\/7 - 528*b\/7 - 192\/7.\nAnswer: -3*(b - 8)**2*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/4 (c) 14\/5 (d) 295 (e) 0.3 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 50\/7 (b) -3\/4 (c) -2\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 + 4*p - 9. Calculate f(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l**2 + l + 4. Let o be h(0). Let j(d) = 11*d - 23. Let u be j(o). Find the third derivative of -5*t**2 + 21*t - u*t + 3*t**5 - 15*t**2 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2676 + 3054. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01137 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b + 8. Let s(i) = -i**2 - 3*i + 94. Let c be s(8). Solve b*h - c = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8618068741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h + 5*z + 125 = 144*h, -3*h + 115 = 5*z. Solve 5*k - 10 = -h, 2*a = 3*k + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -392, -400, -408?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmymmymmmm. Give prob of sequence mmyy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -238\/15393435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48*((4\/(-60))\/(-1))\/((-89)\/(-890))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.4*0.0694.\nAnswer: 0.86056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (9 - 21) - (2 - 5 - 1)) + 40.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.233 - -1.057. Let v = u - 1.69. What is the nearest to 2 in v, 0.2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 17. Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/1233, -5, 11, -1\/10, -1\/3, -1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*z + 48873 = 3*m - 99*z, -2*m - z = -32582. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-9 - -73) - -8\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 35. Let r = -37 - -78. Calculate the remainder when r is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*s**2*x**2 + 842*s**2*x wrt x.\nAnswer: 606*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -41603*l - 139. Let p be k(-3). Round p to the nearest 1000.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 14*z + 6013534 = 30*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.2 - 32.4. Let t = p + -0.8. Let o = 21 - t. Which is the smallest value? (a) o (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144925 and 2945.\nAnswer: 2753575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -213*i**3 - 283*i**2 - 102*i + 4. Determine x(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*(r**(-7\/5)\/r)\/r)**1\/(r**(2\/3)*r**6*(r**(-1))**40) assuming r is positive.\nAnswer: r**(554\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a - 868. Let k be d(-60). Calculate the highest common divisor of k and 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrfzrrzh. What is prob of picking 1 f and 2 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1099.1 * -3\nAnswer: 3297.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-18)) + -1. Suppose -2*w = -3*p + y, 2*w - 24 = -0*w - 5*p. Let l = -0.04 + 5.04. Put -1, w, l in decreasing order.\nAnswer: l, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -165*l + 168*l - 262, -5*c + 166 = 2*l. What is the highest common divisor of 99 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1146381885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 40, 28, 24, 34?\n\"Answer: z**3 - 5*z**2 - 6*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 5*k - 21, 247 - 523 = -w - 2*k - 261 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*j + 5*v + 21 = 116*j - 9, 4*j + 28 = -2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51625, 50634, 48981, 46666, 43689, 40050?\nAnswer: 35749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*sqrt(12)\/sqrt(6) + -5) + ((sqrt(32)*-2)**2 + (sqrt(2) + sqrt(6)\/sqrt(3)*-1)**2)*4.\nAnswer: 4*sqrt(2) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/1 + 2 + 0. Suppose -5*y - g = x + 1, -5*x = y - 46. What is the smallest common multiple of 8 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 2. Let n = 63 + -64. Let y be s(n). Solve -4*d + 2 - 6 = y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 25*y**2 + 8*y + 883. Let z be i(-26). Let m(v) = v**2 - v - 1. Let w(b) = -b**2 + b + 3. What is z*w(a) - 2*m(a)?\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -11123310?\nAnswer: 11123341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*64\/(-1120))\/((-3)\/(-14))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (-29 + 33 - 23)) + -13 + 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0 - 59\/210*k**7 - 1\/12*k**5 + 0*k**4 + 0*k**6 - 1\/2*k**3 - 30*k**2 + 2*k. What is the third derivative of i(d) wrt d?\nAnswer: -1416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 0*z - z)*(-2*z**4 - 4*z + 4*z) + (-15*z**5 - 6*z**5 - 3*z**5)*(1 + 10 - 4).\nAnswer: -180*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31321 (base 6) to base 2.\nAnswer: 1000010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 36. Let i(b) = -8*b - 8*b - 1 + 18*b + c*b**2. List the prime factors of i(-3).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -594\/5 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4666 = -r, 58*r - 60*r = -5*x - 7778. Does -3105\/2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 143?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8063*k + 8184*k = -440 - 44 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*f**2 + 436*f**2 + 604*f**2 - 2*f - 1710*f**2.\nAnswer: -31*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b**3 - b**2 - 9*b + 194. What is the tens digit of x(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3724910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137408280 divided by -2020710.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1000*h - 499006 + 499006 + (0*h - 5*h + 3*h)*(-3 + 2 + 0) + 1 + 0*h - h - h)*(2 - 2 + h + (-1 + 2 - 3)*(5*h - 4*h + 3*h)).\nAnswer: 7000*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-15)*(2 - -28). Let c = -15 - w. Let s be (-6160)\/c*3*-1. Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21731, -43472, -65221, -86978, -108743, -130516?\n\"Answer: -4*t**2 - 21729*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/6 - s**3\/3 + 2*s**2 + 2*s. Let c(o) = -o. Let q = -30 - -34. Let y(k) = q*c(k) - i(k). Determine u so that y(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:09 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 + u**5\/12 + u**4\/24 - 221*u**2 - 2*u. Calculate w(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12179898779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -893 + 2170. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 13. Let j = 1.4 + 1.1. Let o = j + -2. What is the third smallest value in o, g, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + 17 + 39 - (-1 - 61).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 2*g - 5. Give t(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, f: 9}. What is prob of picking 2 f and 2 o?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 4, 3, 5, -0.5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4\/((-60)\/1). Let c be 4\/(-6) + (-38)\/(-30). What is the nearest to 1 in k, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 28*z + 59. Let d be c(4). Suppose 17*s = 186 + d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11895)\/(-49959))\/((-3)\/14).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356304 (base 9) to base 8.\nAnswer: 643055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3294464157 to 5 decimal places.\nAnswer: -0.32945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = -202 - 179 + 1706. Calculate the highest common divisor of 15529 and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from {t: 4, r: 6, u: 1, w: 2}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 15 = 0. Let i = 63 + -38. What is the highest common divisor of g and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/12 - -1\/3. Let r be (-2 - 2\/(-1))\/2. Is r greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017354281 to six dps.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2, -3, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 6*h + 4 + (-3*h + 4*h - 3*h)*(-5 + 3 + 4) + 21*h + 15*h - 23*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 0.94. Let y = 271.1 - 379. Let u = y - -108. Which is the biggest value? (a) 1 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -10*v + 360. Let w = v + -16. Is 16 a factor of (-6)\/12 + 260\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 736*q**3 + 3*q**2 + 3*q - 3. Let b(o) = 33116*o**3 + 136*o**2 + 136*o - 136. Give 3*b(t) - 136*r(t).\nAnswer: -748*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 1. Let v(q) = q**3 - 12*q**2 - q + 10. Let n be v(12). Let x(i) = 2*i + 2. What is n*x(r) - 3*c(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4 - -1) + (2 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 w, and 1 p when four letters picked without replacement from {h: 9, w: 6, p: 3, s: 1}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -419 + 596. Let q = 480 - i. Let f = -86 + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 64*x + 10. Let h be m(7). Solve 6 - h = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165696816 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/270 - i**5\/90 + i**4\/9 + 2*i**3\/3 - 7*i**2. Let w(s) be the first derivative of o(s). Factor w(h).\nAnswer: -4*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 6d74?\nAnswer: 6d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - 0.5. Let n(u) = 2*u. Let x be n(0). Sort g, -0.5, x in decreasing order.\nAnswer: x, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -549, -1425, -2857, -4965, -7869, -11689?\nAnswer: -16545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*z - 144*z + 45*z**4 - 21*z**4 + 54*z**3 - 23*z**4 - 16*z**3 wrt z?\nAnswer: 12*z**2 + 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottotottottttottot. Give prob of picking 4 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 2 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594478734 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmzvmvmvvvkzmzmzzvzv?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w + 19. Let d(h) = -5*h + 10. Let l(u) = 9*d(u) - 4*t(u). Let n be l(7). Solve 3*g + g = k - 8, -k + n = -3*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/954)\/((-38)\/(-39) + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-47)\/141*1\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 3*l + 4. Let s be j(-3). Suppose -q - 4 = -s*v, -2*v + 5*q = -v - 1. What is the remainder when 2\/20*-2 + (-368)\/(-115) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21211201 (base 3) to base 11.\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -25. Let b(k) = -48*k - 104. Let c be b(-16). Let d = c - 582. What is the remainder when d is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, 20*f + 2*t = 16*f + 820. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 73*r - 25. Let j be g(-18). Let v(q) = 11*q + 1. Let t(o) = 36*o + 3. Let z(x) = j*v(x) + 2*t(x). Give z(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51168 - -86?\nAnswer: -51082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-2\/9)))**0\/(o**(1\/6)\/o**(-8\/3)) assuming o is positive.\nAnswer: o**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 6. Suppose -w + 0 = -7. Let o(m) = m**3 - 8*m**2 - 9*m + 95. Let n be o(8). Suppose -w*x + 19 = -n. What is p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*c + r, -26 = -30*c + 4*r - 214 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**6\/15 + v**5\/5 - v**4\/2 - 4*v**3\/3 + 4*v**2 - 3*v + 4. Let h(i) be the first derivative of f(i). Factor h(g).\nAnswer: 2*(g - 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:13 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15739 - 15738. Let m(v) = -v**2 + v. Let x(f) = -15*f**2 - 2. Determine d*x(l) - 2*m(l).\nAnswer: -13*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -13, 3, 1 in increasing order.\nAnswer: -13, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16728 times -0.5?\nAnswer: 8364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*a**2 - 110*a - 5031?\nAnswer: -42*a - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let j(r) = -10*r + 132. Let g = 408 - 396. Calculate the lowest common multiple of j(g) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 0.5, 3.82, 0, -7, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000035891 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*c - 2*c. Let d be 2 - 2\/(26\/c). Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6174 - 6173.70008. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 88063520?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-192)\/(-105)))\/(-3 + 94\/16 - 3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138.447 and 8.\nAnswer: 1107.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*r + 2*r**3 - 3*r**2 - 546*r + 151*r + 4*r**2 + 183*r to c*r**3 + h*r**2 + k*r + l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - 2*k**2 - 5*k - 1. Let c(y) be the third derivative of y**6\/40 - y**5\/60 - y**4\/6 - y**3\/6 + 455*y**2. Determine -5*c(w) + 4*i(w).\nAnswer: -3*w**3 - 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 19 = -69. Suppose 0 = -5*u + 13 + 27. Calculate the remainder when h is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -30 - (-28 + 24 - -49) - 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 5*c - 358, -3*b = c - 571. Calculate the greatest common divisor of b and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155428 and 6812.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7265 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z**3 - 52*z - 55*z - 318*z + 425*z.\nAnswer: -109*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37112897?\nAnswer: 1741, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.518*-0.539.\nAnswer: -3.513202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-44)\/(-20)*2160\/(-288).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15*(170\/60)\/(66\/(-4)). Let i = -21\/11 - p. Find q such that -q + 1\/3*q**2 + i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 2*w**2 + 2*w + 1. Let d be y(-1). Let c = 6 - d. Let z be 1*(c - -1) - -3. Solve z*f - 5*f - 1 = 0, 7 = x - 3*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r + 8. Let w be i(6). Let t be w\/(-10) + (-8)\/20. Solve t*a = 4*v + 15, -4 = 3*v + 3*a + 2*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -3, -9, -37, -93, -183?\n\"Answer: -l**3 - 2*l**2 + 23*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let s(u) be the third derivative of -u**4\/24 + u**3\/3 - 9*u**2. Suppose -3*l - 20 = 2*v - 18, -3*l - 4 = v. Determine l*s(p) + 4*b(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -10*n - 20. Let q(o) = o**3 + 4*o**2 - 2*o + 7. Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.3577 tonnes to milligrams.\nAnswer: 530357700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7*(-10)\/((-6)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**3\/3 - 3*f**2\/2 - 1. Let s be a(-2). Let j(c) = 3*c. Let x(q) = 2*q. Let g(w) = -3*j(w) + 4*x(w). Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7380648 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2457\/81*-1*(0 - 3). Are y and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*d + 97*d + 1242 = -q, -4953 = 4*d + q. Is -1237 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -5. Let x(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/3 + 5*u**2\/2 - 6*u. What is x(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -41. Let k(z) = -20 - z**2 + 49 - 14 + y - 14*z. Let g be k(-17). Solve g*c = 2 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 7 = 26*p + 6*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 16*u**2 + 62*u - 29. Calculate t(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10483 and 0.0465?\nAnswer: -487.4595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.22928 - -603.\nAnswer: 565.77072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60998261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1194)\/(-14) + (-2)\/7. Suppose -c + 4*i = -2*c, -3*c + q = -5*i. Let r = -43039 + 43047. Calculate the remainder when c is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2829 and -99 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 2\/15 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2*b - b**2 - 2*b) - 1 + 14*b**2 + 11*b + 33*b**2 - 57*b**2 + 2*b**2 - b**2 - 2*b**2 + (-b + b - 2*b)*(1 + b - 1).\nAnswer: -12*b**2 + 11*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Suppose q + 3 - 15 = 0. Let s be (-4)\/q - (-80)\/6. Let p(h) = -4*h - 5. Let t(m) = 9*m + 11. Calculate g*t(v) + s*p(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 0*l. Suppose -3*h + 4*i - 18 - 3 = 0, -26 = h + 5*i. What are the prime factors of h\/(-1) + (l - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + -1861?\nAnswer: -1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 113618?\nAnswer: 48\/56809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 11, -5 = 5*s - 5*z. Suppose 3*w + 2*j - 1 + 6 = 0, 4*w + 4 = -s*j. Solve -2*n + 4 = -3*p - 0, 0 = -3*n + 2*p + w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20 + 25 - 5*r**2 - 25*r - 65.\nAnswer: -5*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, i: 2, f: 7, z: 1}. Give prob of sequence sif.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 22*j + 295 = -18*p + 24*j, 3 = 2*p + j - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86834 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 15 = 0. Suppose -3*b + 10 = 4*o, -5*b + 24 - 9 = 5*o. What is the first derivative of -1 - x*q + 4 - b wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 90, 562, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1844329 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.132608 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v - 12 + 9 + 10*v to the form q + l*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 - -233. Is 2\/15 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 6*o + 13. Let w(g) = 5*g**2 - 6*g + 13. Let z(j) = 4*h(j) - 3*w(j). What is the units digit of z(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l. Let z be r(7). Let f be (-2 - -3) + z*1. Let w be f\/28 + 2\/(-7). Solve w*g = -14 + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129\/154 + 31\/22. Solve 0*z + 32\/7*z**3 - g*z**5 + 0 + 48\/7*z**2 - 4\/7*z**4 = 0 for z.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, and 1 q when three letters picked without replacement from qqhyyqy.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n + 60 - 60 - 10*n**4 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 13*r**2 - 11*r + 10. Calculate the remainder when 107 is divided by a(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - b = -7, -b = 20*q - 19*q - 1. Sort q, 0, -24 in decreasing order.\nAnswer: 0, q, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3110 divided by -622\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3954790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -648.879 to 0 decimal places.\nAnswer: -649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 27, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**2 - 2172*s - 16653. Give v(143).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**3 + 4*o**2 - o - 6. Calculate t(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r - 116865 = -35*r + 12*r. Does 53 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 11*z - 6. Determine f(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481 + 475.07. Let t = s - -1.93. What is the closest to -2\/5 in -1, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4924669*h**3 - 4*h**2 + 176719 wrt h.\nAnswer: 29548014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000249 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 13*h + 5. Let o(s) = 4*s**2 - 7*s + 3. Determine -6*n(b) + 10*o(b).\nAnswer: -2*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -35. Calculate the greatest common divisor of 44 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000010010000010001 (base 2) in base 3?\nAnswer: -11221122121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1303520 or 0?\nAnswer: 1\/1303520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 121 = 141. Let t(o) = -2*o + 16. Let k be t(-13). Let j = y - k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.07 - 0.07. What is the nearest to -4 in -0.2, 2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -23 in increasing order.\nAnswer: -23, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 10*m**2 - 12*m - 8. Let z be p(-9). Let y = 42 - z. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -22*a**2 + 0 - 13\/3*a**3 + 1\/4*a**5 + 25\/24*a**4 + 0*a. Let f(l) be the first derivative of b(l). Differentiate f(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 2*r**3 + 55*r**3.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11049, -11453, -11857, -12261, -12665?\n\"Answer: -404*o - 10645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from nbnbbnnjvnjnbj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-5)\/(15\/6). Suppose 3*x + 0*x - 108 = 0. Suppose -12 = -3*r - x. Do c and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -5, -57, 3 in increasing order.\nAnswer: -57, -27, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -270*g**3 + 6*g**2 - 5*g - 4. Let k = -272 - -269. Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxr when three letters picked without replacement from {r: 1, a: 1, v: 1, y: 2, x: 1, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -927, -2.6, -65 in decreasing order.\nAnswer: -2.6, -65, -927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/35*2)\/((-20)\/(-35))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119389*l**2*q**2*v**3 - 3*l**2*q**2 + 2*l*q**2*v**3 - 81*l*q*v - q**2*v**2 - 87*q**2 - 3*q*v**3 wrt l.\nAnswer: 238778*q**2*v**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llc when three letters picked without replacement from {c: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 21*p**2 - 55*p - 1494. Give b(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 80 = 3*g + 50, a + 62 = 6*a + g for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15. Solve s = i + 4 - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - z. Suppose o + y + 0*y - 9 = z, -3*o - 2*y + 24 = 0. Calculate the least common multiple of o and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - f + 104. Determine d(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -224fe4?\nAnswer: 224feb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from mkmmkrrrmrkrrr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 28*h - 36*h as m*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 + 4*h. Let x(m) = -11*m**2 + 9*m. Suppose -13*b + 107 = 3. Suppose -3*u + 35 = b. Give u*o(t) - 4*x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 3*x + 9 = 0, 3 = -x. Suppose 2*m + a*m = 6. Let y = 1 + m. Solve 32 = 3*g + 5*d, 0*g + 2*d - y = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s - 1. Let p be g(4). Let n = 32 + p. Solve 0 = -0*z + n*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.3 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 12*b - 78. Let d = -15 + 7. Calculate the least common multiple of a(-5) and (d\/(-10))\/(2\/30).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 3. Suppose -1 = -3*i + 5. Suppose -a + 15 = i*a. Let p be c(a). Put 0, p, -4 in descending order.\nAnswer: 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 77*y + 987. What is q(14)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9415 rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116649071*i**3 + 159468821*i wrt i?\nAnswer: -699894426*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 - 235. What is the third smallest value in -0.5, -28, -0.1, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 17. Give k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1123 - -5?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 1\/14 (c) 4051 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 51 = -38 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y)*(y + 0 + 0) + (y**2 - 2*y**2 + 2*y**2)*(-4 + 4 + 2) + 2*y**2 - 5 + 5.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*10.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1850 = 3*b + m - 1818, 3*m + 96 = -2*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1088))*-6*4 + (sqrt(1088) - (-4 + -2*sqrt(1088))) + (0 + sqrt(1088))*1)**2*-3.\nAnswer: -1319472 - 65280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 42*l + 25. Let o(k) = k**2 - 21*k - 11. Calculate 7*o(d) + 3*r(d).\nAnswer: 4*d**2 - 21*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4538.27785 - -4538. Round r to three decimal places.\nAnswer: -0.278","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*d + 471 - 2 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -19*o + 25*o + 117, -2*o = -v + 5*v + 138 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**3 + 55*v**2 = 0. Calculate v.\nAnswer: 0, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 47*n + 5. Let l be d(-14). Round l to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 + 6 = -4*r, -2*w + 2 = 5*r. Solve -2*l - u = 8, -r*u = -l - 0*u - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) - 7\/9. Suppose 3*c = -5*j, -2*c = 3*c - 5*j + 40. Sort -2, q, c.\nAnswer: c, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 9300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 take away -3060266481?\nAnswer: 3060266531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 1, w: 2, b: 1, q: 2}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.04. Let s = 0.99 - u. What is the closest to 1 in -2\/11, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 40*z**3 + 25*z**2 - 25*z. Let t = -733 - -736. Let a(p) = 5*p**3 + 3*p**2 - 3*p. Calculate t*h(j) - 25*a(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.772 - 17.742. What is the third smallest value in 4, 0.1, t, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 92 = 9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, n: 3}. Give prob of sequence nzn.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 4. Let p be o(2). Suppose -4*j = -2*g - 238, -g - g + 2 = p. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 822 + -817. Suppose j + 0*j = 9. Suppose -o - c = -4, -4*c + 3 = -4*o - 5. Solve -a*v + j = -o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2689, 10696, 23973, 42466, 66121, 94884, 128701, 167518?\n\"Answer: -9*t**3 + 2689*t**2 + 3*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -2*r, 15*r + 2*t = 11*r + 24. Solve -5*v + 15 = 4*w - 2*w, -3*w = -2*v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279417199834447 - 0.5.\nAnswer: -279417199834447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.201 - 6059.3\nAnswer: -6059.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogz when three letters picked without replacement from {o: 8, g: 1, f: 2, h: 1, u: 3, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyczdszszs. What is prob of picking 1 d and 2 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20*y**3 + y - 1. Let n(f) = f**3 - f + 1. What is 3*n(k) + 3*r(k)?\nAnswer: -57*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104870952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*l - 9 = -0*x, 0 = -2*x + 2*l + 6. Let n = 741 - 743. Put 4, -5, x, n in increasing order.\nAnswer: -5, n, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 - 3 = 0, -3*s + 143 = 2*y. Suppose -3*h - r - 18 = -4*h, -y = -4*h + 5*r. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + 6*l**3 - 5*l**2 + (-1 - 2*l + 1)*(3*l**2 + 2*l**2 + 0*l**2) to the form m*l + h*l**2 + g*l**3 + a and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13913917, 27827896, 41741893, 55655914, 69569965?\nAnswer: 83484052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 530051 (base 8) to base 6\nAnswer: 3435333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/7 (b) 0.3 (c) 73 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6, 1\/3, 22, -70\/3, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iinn when four letters picked without replacement from {n: 2, y: 7, i: 3, j: 8}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 17, f: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhghghhhgugghg. What is prob of picking 2 g?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u = -69*u - 1736. Calculate the remainder when 91 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -447, 6, 71 in decreasing order.\nAnswer: 71, 6, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 232 = 5*k, 281 + 9 = 5*q + 2*k. Find the first derivative of 63 + q + 119*j - 218 - 314*j + 70 wrt j.\nAnswer: -195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8 = 2*r. What is the remainder when 85 is divided by 11\/r*12\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jqmmmmjmjjjjqjmqj.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d - 3. Let x(k) be the first derivative of -17\/2*k**2 - 5*k - 6. Give 5*l(i) - 3*x(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103 + -28382.\nAnswer: -28381.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, -u - 45 = -3*s + 6*s. Let h be (3*(s - 0))\/(-1). Let i = -14 + h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 6. Let n be 15 - (1 - (-2 - -2)). Let g = 13 - n. Sort d, g, -2 in increasing order.\nAnswer: d, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.94 + 0.06. Let s = 2.5 - 2.46. What is the second smallest value in t, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stsz when four letters picked without replacement from {z: 2, t: 2, s: 5, x: 3}?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5, -0.6, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 4*o + 7. Let h be r(5). Solve -5*l + 5*y = -4*l + 10, y = 2*l + h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let j(v) = -14*v**2 - 5*v. Let y(w) = -15*w**2 - 6*w**2 - 8*w + w + 0*w. Let g(s) = 7*j(s) - 5*y(s). Give g(b(n)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 + 308. Suppose p = -a + 13, l*p - a = 58 + 4. Sort p, -1, 0, -2 in descending order.\nAnswer: p, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1833095689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 20*n - 45. Let o(m) = 16*m. Determine o(a(q)).\nAnswer: 48*q**2 + 320*q - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -3083\nAnswer: -20\/3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, 30, 623, -122, 3\/2, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77800 is divided by 38800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmplbp. What is prob of sequence pb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2434*j + 2446*j - 4917*j)*(-4 + 4 + 2*j).\nAnswer: -6*j**3 - 74*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 divided by 324?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 12 = 2*l, -q + l = -8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*i + 810566, 3*g - 907*i + 910*i - 486348 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(22) + -6*sqrt(66)\/sqrt(3))\/((sqrt(2) + sqrt(32))*-3) + (sqrt(3168)*-1 + sqrt(22))\/(sqrt(8)\/sqrt(4)*2 - sqrt(2))))**2.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + t**4\/4 + 7*t**3\/6 - 2*t**2. Let s be x(-5). Let o(d) = -2*d + s*d - d. Let r(h) = h. Determine r(o(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.002, 4, -3\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -1214b?\nAnswer: -12159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 9, -7, -27, -51?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.4213346 to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2235)\/(-7) + 10\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3875437?\nAnswer: 211, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(((q**28*q)\/q*q)\/q))**(11\/4))**(-19))**(-3\/11))**36 assuming q is positive.\nAnswer: q**(-13851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/3, 15, 0, -2\/13, -6, 7 in descending order.\nAnswer: 15, 7, 0, -2\/13, -10\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6933 is divided by 882?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24586 and 18962.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -54*j + 725. Give s(10).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 12. Let k = i + -22. What is the units digit of 18\/(3\/((-9)\/k))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {h: 8, b: 5, j: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -80. Let q(r) = r**3 + 4*r**2 + r - 2. Calculate q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534326 + 534326 + 3282*b**2 to t*b + p*b**2 + j and give p.\nAnswer: 3282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348791 = 64*h + 351799 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -r - 2*r, 0 = 3*q + 4*r + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.100237 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p**2 - 70683*p + 70683*p. Let u(m) be the second derivative of -m**4\/12 - m. What is u(n(f))?\nAnswer: -100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*k. Let y(w) = 3. Let r(h) = h - 1. Determine k*r(a) + y(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Is 12 a factor of (-378)\/(-12) - d\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 79524*o - 795232\/5.\nAnswer: -2*(o + 2)*(o + 198808)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -344, 2\/5, 0.214, 2, -0.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 82. Let a(k) = 4*k**2 + 10*k + 11. Let y(v) be the third derivative of -v**5\/60 - v**4\/12 - v**3\/3 - 138*v**2. Give g*y(c) - 2*a(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 21*n - 52. Let i = 56 - n. Let w be (-4 + 3 + 4)*i\/(-3). What is the third smallest value in 1, -0.16, w, -1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(3\/(6\/4)). Let k(i) = -3*i**3 + 8*i**2 + 2*i + 9. Let s(c) = -13*c**3 + 33*c**2 + 9*c + 37. Let m(l) = z*k(l) + 2*s(l). Give m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*(c**(-5\/2)*c)\/c*c*c)*c)**(-2\/35)\/(c*c*c*c**(-3))**8)**(-44) assuming c is positive.\nAnswer: c**(44\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k + 32*k + 37*k - 7 = -32*k, 21*k = u + 18*k + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 2015436.\nAnswer: 2015437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u + 1013 + 1609 = 10858 + 3464 for u.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 + 4*a**5 - 5*a**5 + (-3*a**5 + 0*a**5 + 4*a**5)*(2 + 1 + 0).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -10 - ((1 - -7) + (-13 - -34)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*i + 9*c**3 + 5*c + i**2 + 21*i wrt i?\nAnswer: 2*c**3 + 2*i + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*g**2 + 16*g**2 + 436*g**2 to m*g + o + s*g**2 and give s.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:20 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -6, 2*r - 6*r + c = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8798, 8821, 8926, 9167, 9598?\nAnswer: 10273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 6*p - 3*p)*(-2 + 2 - 3)*(-p + 4 - 4)*(4 + 0 - 3) in the form y + k*p + t*p**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylo when three letters picked without replacement from {l: 1, y: 3, n: 4, i: 1, o: 3, w: 5}.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3818 and 15272?\nAnswer: 15272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*w + 5149, 10320 = -11*z + 17*z - 3*w. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92.957 + -93. Let s = t + -0.557. Let b = -0.4 + s. What is the nearest to -1 in 0.1, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 6) to base 2.\nAnswer: 1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(99) + sqrt(99) + sqrt(99)*5 + 4)**2 - (-1 + (sqrt(99) - (sqrt(99) + 0 + 5)) + 1)**2.\nAnswer: -96*sqrt(11) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/300*0)\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -535 greater than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -288, -260, -220, -162, -80, 32?\n\"Answer: a**3 + 21*a - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 426, 1497, 3592, 7053?\n\"Answer: 57*z**3 - z**2 - 7*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 32*g = -2*i + 2, 2*i = -5*g - 14. Sort g, -12, 2.\nAnswer: -12, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182217?\nAnswer: 3, 7, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x = 103*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3664*g - 36546. Calculate v(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 95*a - 24*a**3 - 23*a**3 - 2*a**5 - 84*a wrt a.\nAnswer: -40*a**3 - 282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1918\/11, -28\/9, -1\/4?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.1 rounded to 0 dps?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.02 - 0.48. Let p = d + -4.5. Let g = 8 + p. Sort g, 0.7, -0.5, 1\/2 in ascending order.\nAnswer: g, -0.5, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/9 - 23\/9. Let f(j) = 2*j + 14. Let p be f(-6). Let k be p\/(-12) - (-35)\/42. Put 0.4, k, v in increasing order.\nAnswer: v, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14685 + -15933227\/1085. Is -12 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3502.04 to the nearest 10.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56788, -55688, -54588, -53488, -52388, -51288?\n\"Answer: 1100*k - 57888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1266413769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3062280 and 243360.\nAnswer: 36747360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 1\/2*r**2 + 0*r + 10. Let m(p) = -7*p**2. Calculate a(m(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880753100 a multiple of 5545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7253*x**3 + 48718*x**3 + 46222*x**3 + 22605*x**3.\nAnswer: 110292*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and 53\/278208?\nAnswer: 278208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 41174b?\nAnswer: 41174b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -522*o + 458*o - 2*o**2 - 5*o**2 to j + s*o + q*o**2 and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 189509201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -300105 - -512106. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-36)\/(-192))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90824535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 4*g**2 - 109 + 6*g**2 + 108)*(3*g + 2*g - 7*g) as d*g**3 + h*g + q*g**2 + j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -5a6b?\nAnswer: 5a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 748182.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/25)\/(m*m**(-4)*m) assuming m is positive.\nAnswer: m**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 2*q**2 + 2*q. Let x(s) = 10*s**3 + 15*s**2 + 11*s + 1. Let z(g) = 6*t(g) - x(g). Calculate z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3517156 divided by 223\nAnswer: -15772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302103013 (base 4) in base 7?\nAnswer: 1515436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30510343 (base 6) in base 16?\nAnswer: d6df7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - x**3)*(0*x - 3*x + 2*x) - x**4 + 0*x**4 + 2*x**4 + 6*x**4 - 20*x**3 - 13*x**4 - 2*x**2 + 9*x**4.\nAnswer: 4*x**4 - 20*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 25. Suppose 5*o = 4*i + j, i + 3*i - 20 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Let n(v) = -v**2 + v + 4. Let s be n(4). Let f be ((-2)\/s)\/((-9)\/(-36)). Solve 0*g + 4*g + q - 16 = 0, -g + q - f = b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in -4, 4, 0, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -468 + 138. Let n(j) = 47*j. Let h(p) = 1738*p. Let u(i) = y*n(i) - 3*h(i). Let z(f) = 2*f. What is z(u(g))?\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -356277.4 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -2*z, -2*y - 4*z = 3*y - 33. Suppose 627 = 4*t + y*d, 0 = t - 5*d + d - 183. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*v - 327*v - 17142 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/(-4))\/((-4)\/8*6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*w + 0*w - w)*(-2 - 20 + 10) - 2*w + 0*w + w)*(2*w + 2*w - 3*w) to v + p*w + z*w**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -1307\/7. Let i = -2 + -1. Which is the closest to o? (a) i (b) 2 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2*n - 76. Calculate s(0).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 476.7789 kilometers?\nAnswer: 476778900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42178 - 36686. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.78 + -0.22. Are y and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and 1\/6*(3 - 55\/(-2)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -47*c**9\/252 - c**5\/60 - 37*c**3\/6 - 5*c**2 + 5*c. Find the third derivative of v(u) wrt u.\nAnswer: -11280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 94*a - 7. Calculate the remainder when t(80) is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 5442 - 5442.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403970631 divided by 3.\nAnswer: -134656877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 12.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21 - -0.51. Sort x, -2\/11, 5 in ascending order.\nAnswer: -2\/11, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24300)\/220 - -49 - 12\/22?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*s*t - 2*c**3*t - 28*c**2*s**3 + 19*c*s**3 + 5*c*s**2*t + c*t + 2*s**3*t wrt c.\nAnswer: 12*c*s*t - 12*c*t - 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 7 - (-1 - 66). Suppose -16 + j = 4*i. Let p = 3 - -2. Calculate the remainder when i is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + z - 3 = -2, 5*z = -j - 3. Suppose -w - 6 = -j*w. Let d be w\/20*12\/27. Which is the second smallest value? (a) d (b) 2 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*o - 5)*(-4 + 0 + 3) + 255*o + 1115*o + 326*o.\nAnswer: 1694*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/11 < -1577584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 4. Let c be j(3). Suppose 3*h - c - 2 = 0. Let d = 5 - h. Solve x + n = d*n - 4, -5*n + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -215352?\nAnswer: -215344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -75. What is the nearest to u in 3, -3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 14*u**2 - 11*u + 16. Let i be y(13). Let x = 16 + -9. Suppose -x*v + i = -4*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 42*i + 33*i = -330. Let b(v) = -11*v**2 - 5*v - 5. Let d(s) = 5*s**2 + 2*s + 2. Determine i*d(z) - 2*b(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14228057.3 rounded to the nearest 1000?\nAnswer: 14228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 12. Let s(j) = 13*j - 36. Let m(h) = -2*s(h) + 7*w(h). Calculate m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6*p - 6. Suppose 2*g - q + 0 = 7, -5*g - 3*q - 10 = 0. Calculate the remainder when v(-4) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3897758 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.132607.\nAnswer: -0.663035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/225 + 12\/(-60) + (1 - 2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*a**2 - 1 - 2236822184*a + 2236822184*a + 1.\nAnswer: 138*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 25, -274, -5\/4, 33?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let b(a) be the second derivative of a**4\/12 - a**3\/6 + 3*a**2\/2 + 4*a. What are the prime factors of b(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let w(d) = 2*d + 5. Let z be w(h). Solve 32 = -z*n + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-18) - (25\/(-30) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -36, -20, 2?\n\"Answer: 3*h**2 + h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**3 + 13*n**2 + 95*n - 104. Let p(z) = -8*z**3 - 6*z**2 - 47*z + 52. Let f(i) = 6*c(i) + 13*p(i). What is the first derivative of f(x) wrt x?\nAnswer: -6*x**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 490.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 79. Let d(s) = s + 2. Calculate d(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 60 = -18*h. Solve h*d + 3*c = -17, -3*c - 10 + 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 4. Let g(m) = 5*m - 7. Give 4*g(b) - 7*t(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66464203 to the power of 1\/2, to the nearest integer?\nAnswer: 8153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/11, 3, -42, 2\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172520583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -48?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 88269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3699 (base 16) to base 11.\nAnswer: a557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*h = 602410, 0*n - n = -h - 602410. Suppose 2*w - 240963 = -p, n = 5*w + 5*p - 2*p. Let x = w - 34479. Round x to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26312 + -26317. Sort 9, r, -2, 6 in increasing order.\nAnswer: r, -2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*856\/32)\/(3*(-1)\/12).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from zcddcdrrhcd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-3)**2*1.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 400 - 399.8844. Let u = j + -0.12. Round u to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5300*o - 5301*o - 9 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1825844 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 19*j - 65. What is the tens digit of g(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 658 + 4c9?\nAnswer: b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*y - 891*y + 555 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45616329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9143, 0, -2010, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -102?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 436, 398, 366?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191423\/65 + -2945. Which is smaller: s or 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8500083*f**5 + 1215888*f + 2.\nAnswer: 170001660*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/33, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/17 - 150*x\/17 - 972\/17 = 0.\nAnswer: -6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 13*m - 418. Let j be 84\/4 + 4\/(-2). Suppose 5*f - j = 16. What is the smallest common multiple of r(28) and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + -82 - (319 + -324).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 1.62. Let z = 2043 + -2042.68. Let x = z - i. Which is the third biggest value? (a) -3 (b) x (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50712 and 177492.\nAnswer: 354984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12406 (base 7) to base 4.\nAnswer: 303121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17037*j + 16949*j + 482 - 655 - 707 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**4*c))\/(c\/(c*c**4)*c)*c**(4\/7)*c**4 assuming c is positive.\nAnswer: c**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*h + 60 = 5972, -4*j - 4*h = -5940. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2 - (-5 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455112.5 minutes to microseconds.\nAnswer: 27306750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:59 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5601 and 545783844.\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 3. Let c(h) = 27*h + 138. Let j(u) = 17*u + 86. Let v(t) = 5*c(t) - 8*j(t). Determine -3*o(w) - 7*v(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 2734582336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*h + 448 - 32*h - 450 to the form y + f*h and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.65 + -17. Let u = c - -4.05. Round u to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -5\/4, 2, -3, -21480, -1\/5?\nAnswer: -21480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -14. Suppose 2*z - 57 = 11. What is the remainder when z is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*u = u + 1388, 0 = -5*o - 2*u + 1735. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s**3 + 5*s**3 - 48*s**3.\nAnswer: -94*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 0, 6 in descending order.\nAnswer: 6, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 1. Let c(y) = 3*y**2 - 4*y + 3. Let z(o) = c(o) - 2*p(o). Suppose 13*d - 150 = 71. Suppose 19 = 9*m - d. Determine z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 17532 = -4*y, -121*z = -125*z - y + 17523. What are the prime factors of z?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175402490?\nAnswer: 2, 3, 5, 107, 366169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 - 11*o**3\/3 + 5*o**2 + 4*o - 2. Let l be g(10). What is the second derivative of 2 + l*d**2 + d - 2 - d**2 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -768142, -1\/5, 2\/5, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + x**2 + 3*x + 1. Let w be s(2). Let z = -1 - w. Solve -z*u = 1 - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -1.8. Let x = -0.11 + -4.89. Let s = -3 - x. What is the biggest value in -2\/11, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 28*i - 13*i + 67*i**2.\nAnswer: 67*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:24 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 s when four letters picked without replacement from {s: 4, e: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 29*m**2 - 34*m - 125. Let h be g(-4). What is the greatest common divisor of h and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o**2. Let z(n) = 8*n. Give z(l(q)).\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*n + 5*h, 2*h - 116 = -4*n + h. Let d(q) = q**2 + q + 56. Calculate the remainder when d(0) is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from {x: 6, j: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 82*(68\/8)\/17 + -1 + -5.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 8*q**2 - 36*q + 72.\nAnswer: 4*(q - 3)*(q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.01531 years to centuries.\nAnswer: 0.0301531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53797\/9 - 5984. Let o = v + 44\/9. Which is the nearest to 2? (a) -1\/3 (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 21. Let o be (-8 - -1) + (-4)\/(-2). Let x = o + n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s - 4. Let c be k(-8). Let x(w) = -2*w - 7. Let i be x(-6). Solve -j - c = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 22\/3, -5, 2\/6739 in decreasing order.\nAnswer: 22\/3, 1, 0.3, 2\/6739, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 50\/3*x**3 - 5\/12*x**4 + 0 - 250*x**2 + 34*x. Suppose t(a) = 0. What is a?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*n. Let b(y) = 2*y. Let m be b(n). Solve -2 = -2*s + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y - 30 + 48 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(5*c - 3*c - 4*c) + (2 + c - 2)*(4 - 2 - 1) to the form h + v*c and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 23 = 41. What are the prime factors of -1 + 0 + (-3)\/((-3)\/t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1053*w**3 + 100 - 9*w**2 - 2*w**2 - 3*w - 6*w**2 + 27*w. Let s be z(-14). What is s rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a)\/(((a**(-1)*a)\/a)\/a)*a*a\/a**(-3)*a**(-2) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93865735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/6 + 2*s**3\/3 + 3*s**2 + 40533*s. Let u(z) = 0*z + 3*z - 3*z**2 + 5 + 2*z**2. Determine 4*u(g) - 3*x(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osggudookgs. What is prob of picking 1 u and 1 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 10*m + 5. Let b be v(-5). Suppose -b*j + 11975 = -0*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-16) + (-3)\/(-2). Suppose -3*q - 76 = -c*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5999271 - -6000282.5771. Let w = -921.573 + r. Let m = -90 + w. Round m to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:02 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*99\/1452*(-4)\/(-249)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1196 = j, 3660 = -10*j + 13*j - 3*l. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000695554 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-3)\/3)\/(-1). Let h = -4 + c. Let f = h - -10. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 2*s. Let a be o(4). Let t = a - 70. Let q(v) = -3*v**2 + 3*v + 4. Let g(b) = -b - 1. Calculate t*g(f) + q(f).\nAnswer: -3*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.118 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, t: 3, k: 1, m: 2, j: 1}. Give prob of sequence ojk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1, -5, -128?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 378062 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 0*t**3 - 1 + 0 - t - 2*t**2. Let z = -6 + 4. Give y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let i(g) = -118466*g. What is f(i(m))?\nAnswer: -28068386312*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j - 1. Let u(t) = 2*t**3 + 308*t**2 + 3*t - 4. Determine -4*c(x) + u(x).\nAnswer: 2*x**3 + 304*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + f - 33 + 13 = 0, -2*o = 4*f + 10. Solve -o*g + w = -2*w + 14, -16 = g - 5*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**7\/420 + 5*h**4\/24 - 5*h**3\/6 - 8*h. Let d(g) be the second derivative of b(g). Find the first derivative of d(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*f - 4 = 0, 5*f - 1506 = -2*z - 1473 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:02 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -471*r + 1622*r + 310*r to v*r + o and give v.\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 6. Let f be o(3). What is the second derivative of 5*y - 2*y + 2*y**3 + 2*y - 3*y**f wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16361 is divided by 348?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1031301003?\nAnswer: 1031301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 1\/240*l**6 + 1\/16*l**4 - 1\/12*l**3 - l**2 - 1\/40*l**5 + 0*l + 0. Solve q(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = -j, 4*j - 38 + 10 = -3*u. Calculate the lowest common multiple of j and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*m**2 + 29*b**4*m - 10*b**4 - 6*b**2*m**2 - 40*m**2 wrt b.\nAnswer: 24*b*m**2 + 696*b*m - 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 3. Let l(o) = -o + 2. Let u be (-1)\/(34\/(-8) + 4). What is u*m(i) - 5*l(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623187774?\nAnswer: 2, 263, 953, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144958 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, b: 1, l: 2, n: 7, v: 2}. Give prob of picking 1 g, 1 n, and 1 j.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21.042 * -2\nAnswer: 42.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7591480 divided by 5.\nAnswer: -1518296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301 - -24?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(539) + sqrt(539) + sqrt(539) + 4 + sqrt(539) + sqrt(539) + 0 + sqrt(539) + sqrt(539))**2 + -5.\nAnswer: 392*sqrt(11) + 26422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o**2 + 0*o + 3*o**3 + 16 + 63\/4*o**4 + 9\/2*o**6 + 15*o**5. Factor j(q).\nAnswer: 3*q*(q + 1)**3*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m + 49. Let k(j) = 2*j - 1. What is -c(q) - 2*k(q)?\nAnswer: 2*q - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 543 - 2*j + j**2 + j - 535 + 0*j. Let n be (-6)\/21 - (-2)\/7. What is v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 - 370.72. Let h = v + -0.28. Let i = 13.0000027 + h. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -1, 0, 3 in ascending order.\nAnswer: -104, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, n: 11}. What is prob of picking 3 n and 1 a?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -392*x + 17312. Give u(46).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1313410897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 933*r - 14. Give c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 246806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*-673167\nAnswer: 673167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2 - 16*k - 16. Let d(o) = 3*o**2 + 5*o + 5. Let n(i) = 16*d(i) + 5*t(i). Let c(g) be the first derivative of 6*g**3 - 39. Determine c(n(x)).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 54. Sort -3, j, 2, 5.\nAnswer: -3, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 55*f - 300 = 0. What is f?\nAnswer: -15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 11*g + 12. What is i(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i - 3. Let f be l(6). Let s = f + -15. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4324 and -23\/2.\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 57, 119, 239, 435?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316946372?\nAnswer: 2, 13, 4231, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from kdaokaatoa?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 12. Let u be j\/10 - (-88)\/(-80). Is -0.5 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + g**3 + 6*g**3 - 2*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39841\/215 - 932\/5. Find the common denominator of 49\/989 and h.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (9 - 6) + (4 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q = -24238 + 23211 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(-5 - 2 + 2)*(-7*m + 0*m + m - 3*m**2) to k*m**2 + f*m + t and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-eight thirds of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-8) - (-3)\/(-12). What is the closest to f in 0.5, -3\/7, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 3) to base 13\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3) - (-2 + 4). Let u be t\/(4\/(-26)) + -1. Suppose -148 = -4*l - u. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 102*m - 807. Let d be c(8). Solve 0 = 3*z + 3*b - 4*b - 7, 3*b - d = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -357*w - 91. What is n(0)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/23)*p*p*p**7)\/((p\/p**3)\/((p*p**7)\/p)))**(-46) assuming p is positive.\nAnswer: p**(-870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -74, -2 in ascending order.\nAnswer: -74, -2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((3\/12)\/(30\/(-72))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.6\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Suppose 52*u = 45*u - 63. Give p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360196 != 573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 114705\/(-81)) + 1 + 1. Let q = 1429 - z. Find y such that 0*y - q + 2\/9*y**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -120392.\nAnswer: -481568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -10 - (-13 - -12). Solve 0*c + c + z = 2*b, 4*b = 4*c + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44045662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 23 = -47 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + z - 4 = 0, 0*z + 4 = p + z. Let s(q) be the second derivative of 1\/2*q**2 + p - 1\/4*q**3 + 2*q + 1\/24*q**4. Determine i so that s(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286 and 130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/12 + r**4\/4 - 7*r**2\/2 + 3*r. Let b(h) be the first derivative of n(h). Find the second derivative of b(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5244 divided by 10\nAnswer: -2622\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665624120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -4539\/3647 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5700 + -5699.9. What is the nearest to -0.919 in 4, -2\/9, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-9 - (3 + (-2 - 4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 888740090 a multiple of 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5)\/k)\/k)\/(k**(2\/29)*k)*(k**(4\/3))**(-37))**(2\/5) assuming k is positive.\nAnswer: k**(-9988\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-132)\/(-176))\/((10\/(-80904))\/(-5))?\nAnswer: 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-230))\/(107\/(-13910))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71696221631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -6. Suppose 3*b - 5*r = 56, -3*b = -3*r + 19 - 67. Let g be b\/(-18)*9 - -7. Put g, -3, x, 2 in decreasing order.\nAnswer: 2, g, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -9 + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -5*g + 1, 4*h + 10 = 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17059.3 - 15959.971. Let w = s + -1098. Round w to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/81 and 64\/240255.\nAnswer: 2162295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let b(g) = -397*g + 56. Give s(b(v)).\nAnswer: 157609*v**2 - 44464*v + 3136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4569*k + 3237 + 2777 = 4666*k for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 25 = -7*u + 5*w, -2*u - 2*w + 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9341.9 from -12013.64.\nAnswer: -21355.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 11*p - 14. Let c be x(-10). Let k = c - -4. Suppose 0 = 2*v - k*v + 260000. What is v rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301799*r + 301800*r - 48 = 2*s, -5*r = -10 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvvvdlldlddvvvvvvlv. Give prob of picking 4 d.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**8\/4200 - i**7\/1050 - i**6\/900 + i**3\/3 - 8*i**2. Let w(a) be the first derivative of c(a). Let w(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 2 = 0. Let a(c) = 1. Let n(r) = -1 + 11*r**2 + r**2 - 18*r**2 + 5*r**2. Give g*a(k) - n(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1849 (b) -2 (c) 1\/3 (d) 7\/4 (e) -0.1 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - 5) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -170762*a**4 + 170762*a**4 - 129*a**5 + (-4*a - a**2 + 4*a)*(5*a**3 - 2*a**3 + 0*a**3).\nAnswer: -132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-4 - 2 - -29) + -4 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/5, 0.09, -3, 19 in descending order.\nAnswer: 19, 0.09, -0.5, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16569563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108416*m**4 + 94799*m**2 wrt m?\nAnswer: 2601984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2546 divided by 109709\nAnswer: 2546\/109709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l + 120*l - 85 = 0. Suppose -3*d - j - 7 = 0, -5*d - 3*j = -0*j + l. Which is bigger: 1\/13 or d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - n**2 - 3)*(-29*n**3 - 94*n**3 + 32*n**3) + (-n**4 + 4*n**4 - 5*n**4)*(0*n + 4*n - 2*n) + n**5 - 2*n**5 - 2*n**5.\nAnswer: 84*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*q - 18, j - 11 + 1 = -q. Suppose -6*k - 10 = -k + 5*v, 4*k + v = -20. Let i = k + j. Solve 3*m + 12 = -i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35474*c**5 + 2542*c?\nAnswer: -709480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3158604 divided by -4\nAnswer: -789651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 51*r**3 - 3*r**2 - 5*r - 5. Let t(c) = 50*c**3 - 2*c**2 - 4*c - 4. Determine -5*t(k) + 4*z(k).\nAnswer: -46*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1277221, 5108891, 11495017, 20435605, 31930661, 45980191, 62584201?\n\"Answer: w**3 + 1277222*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 43*r - 47*r. What is the least common multiple of 14 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1082, 1083, 1084, 1085?\n\"Answer: y + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (877230\/585)\/57 - ((-18)\/26 - -1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4089, 1, -0.1 in descending order.\nAnswer: 1, -0.1, -4089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 86\/11 + 2\/11. Suppose v + 3*v = d. Is (-16 + -4 + v)*-1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 451*a**6 - 4*a**5 - 4*a**3 + 352848*a**2 wrt a.\nAnswer: 54120*a**3 - 240*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*sqrt(81)*-3)\/sqrt(3) + -4)**2.\nAnswer: -972*sqrt(3) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**5\/5 + 2*z**3\/3 + 8*z + 15. Let o(c) be the first derivative of r(c). What is the second derivative of o(i) wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1228 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 - 4566*g\/11 + 53820.\nAnswer: 2*(g - 2145)*(g - 138)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {u: 5, g: 15}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1278, 2290, 3276, 4230, 5146?\n\"Answer: -p**3 - 7*p**2 + 1040*p + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -422 divided by -32\nAnswer: 211\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/4 - (-1)\/(-4). Suppose -15 = b*z + 5. Let n(h) = 3*h**3 + 8*h - 8. Let g(l) = -2*l**3 - 5*l + 5. What is z*n(k) - 8*g(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735080627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8080 is divided by 2693.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2357.00705 to the nearest integer.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 13168.58.\nAnswer: -1711.9154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 9\/(-60))\/((-216)\/13620). Let d = 28\/3 - t. What is the nearest to -0.1 in -2, d, 4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, 17, -1, -4.4, -37, -0.8 in decreasing order.\nAnswer: 17, 1\/22, -0.8, -1, -4.4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-120))\/(1\/(-70)). Let r(u) = 50*u - 20. Let i(d) = -33*d + 13. Let o(l) = -8*i(l) - 5*r(l). Is o(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(126)\/(1*sqrt(9)))\/sqrt(2))*-1.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + -31?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -21737*m**2 - 1. Let o(c) = 2*c. Give o(q(v)).\nAnswer: -43474*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 15\/(-180) + 2)*3\/(-5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 37*h - 8. Let q(i) = -4*i**2 - 36*i + 11. Give 2*q(g) + 3*w(g).\nAnswer: g**2 + 39*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*24\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16000368 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 3*a - 460 + 259 - 3*a - 3*a to v + b*a and give v.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20837\/692 - -24\/173. Let x = m - 51\/2. Let z = 107133 + -19069635\/178. Find the common denominator of x and z.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzhhhhhhhzhhzhz. Give prob of picking 1 z and 3 h.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6107649.387 to the nearest 100.\nAnswer: 6107600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -83*p**2 + 6*p + 3. Let c(g) = -4895*g**2 + 356*g + 178. Give -3*c(z) + 178*o(z).\nAnswer: -89*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*a - 9*a + 84, 2*c - 34 = -2*a. What are the prime factors of a\/28 + (-516)\/(-28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.419084 to 2 decimal places.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = m + 37. Suppose 3*n = 7*n + 2*k - m, -k = -5*n + 94. Calculate the remainder when 36 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 2. Let c(k) = 2*k + 3. Let j(g) = -4*c(g) + 7*p(g). Let a(z) = 2*z - 9. Let m(o) = o + 1. Let h(w) = -a(w) - 2*m(w). Determine -6*h(x) + 22*j(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-35)\/2) + ((-800)\/112)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*m + 2*m - 3, -3*m + a = -8. Suppose -4*j + 19 - 6 = o, -17 = -j - 3*o. Solve -m*k + 1 = -j*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17262.077 and -0.3.\nAnswer: -5178.6231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1825734 divided by 36\nAnswer: 304289\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -2.66 (c) -179 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/658637? (a) 1\/3 (b) -4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 105. Let g = -74 - z. Calculate the remainder when 60 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/330)\/((-1*3)\/((-190)\/(-19)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, v: 2, b: 1, g: 2, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 5*y**3\/6 + 5*y**2 - 2*y. Let r = 163 - 157. Is 6 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyvh when four letters picked without replacement from {y: 1, v: 2, r: 3, n: 3, h: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (2 - 0)\/2. Let n be -2 + 6 + s + 0. Suppose -2*q - 21 = -y, 4*q + 6 = y + n*q. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - 0) + -3 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 5, a: 3, p: 11}. Give prob of sequence cap.\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(66)*5 + sqrt(66)))\/(sqrt(60)\/(sqrt(50)\/sqrt(5)) - sqrt(600)*3).\nAnswer: 45*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**3 + 2*o + 2. Let f(k) = -9*k**3. Let t(v) = -9*v**3 + v + 1. Let y(l) = 3*f(l) - 4*t(l). Calculate -5*a(q) - 3*y(q).\nAnswer: -2*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/112 - 4*h**7\/35 + 11*h**6\/20 - 6*h**5\/5 + 9*h**4\/8 + 661*h**2. Let s(r) = 0. What is r?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26850427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -3*s + 45, -97*p - 219 = -s - 84*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/60 and -13\/580?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yypappaayuyyy. What is prob of picking 1 u and 1 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 111011000110110001000 (base 2) to base 7\nAnswer: 22314402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 1628464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9604981.\nAnswer: 9604981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -513*j**2 - 2. Let v(y) = 5*y. Calculate v(a(h)).\nAnswer: -2565*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, u: 3}. What is prob of sequence uuul?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from wwwzttztww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-929*u**5 + 83171*u - 83171*u).\nAnswer: 929*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1460 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*p + 13010 + 29582 = 0 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 37. Solve 5*q + 7 - b = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146762 bigger than 2146763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 2, 5, 1, 2\/3 in ascending order.\nAnswer: 2\/3, 1, 1.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 4*o**2 - 3*o + 2. Let i be h(2). Let r = 97 - i. Suppose -2*t - r = -4*c - 37, -4*t - 47 = -3*c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4002786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 - 331*i + 648*i - 318*i - 3*i**2 - 8*i**3 as c*i + w + s*i**2 + r*i**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4169 - -5541. What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.11 - 21. Let s = g - -0.29. Let z = 6 - 6. Which is the third biggest value? (a) 0.06 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25018673011 - 5\nAnswer: 25018673006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:09 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -1\/37, 4, -156\/17, 6\/5?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uue when three letters picked without replacement from uuuuuuuuuuue?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 376442.1 to the nearest one thousand.\nAnswer: 376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/290 - -1091\/6670. Let d = 82\/207 - g. Factor 2\/9*i**4 + 2\/3*i**2 + 0 + d*i + 2\/3*i**3.\nAnswer: 2*i*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2321 - 2304. What is the remainder when 662 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5819, 11663, 17571, 23579, 29723?\n\"Answer: 6*d**3 - 4*d**2 + 5814*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 5*w**2 - 2*w - 7. Let v be j(-5). What is g in 4*g**2 + 4*g - 3*g**v - 10*g**2 + 5*g**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-680)\/(-119) + 4\/14. Let s(h) be the first derivative of -h**4\/4 + 2*h**3 + 7*h**2\/2 + 14*h + 46. List the prime factors of s(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 - -117. Are -47 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -146. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*j - 1. Let v(h) = -2*h - 13. Let z be v(j). Solve 3*k = 4*k + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209585629.\nAnswer: 11, 19053239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 60 (b) 21 (c) -137.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 - 135*z**2.\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:10 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 + -123. Find the third derivative of -89*r**2 + 632*r**6 + r - r - 657*r**j wrt r.\nAnswer: -3000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14676447217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riw when three letters picked without replacement from {s: 4, r: 1, i: 4, k: 2, a: 1, w: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 1, 16.6684?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 4?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55345434.\nAnswer: 2, 3, 9224239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)\/((-8)\/34040). Suppose 21*p = 24*p - 4*i - t, 2*p = 4*i + 2842. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43413, -87421, -131441, -175479, -219541, -263633, -307761, -351931?\n\"Answer: -t**3 - 44001*t + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(8*475\/400))\/((-3)\/(-57))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h + 1. Let r(a) = -a**2 + 3*a - 4. Let s be r(1). What is v(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -184. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*f + 4 = 0, -11*f + 7*f - 10 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 + -540. Solve -f*v = -2*z + 2*v + 22, -7 = -z + v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24630310 (base 7) to base 16.\nAnswer: 21f6d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 20*l + 20. Let j(y) = -y**2 - 21*y + 16. Let p(k) = -10*c(k) + 8*j(k). Factor p(g).\nAnswer: 2*(g - 2)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 23 (b) -89\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119834 and 4.47.\nAnswer: -535657.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:46 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/(3 + (-10)\/4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 102172680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 8*g**2 - 2*g + 9. Let d be x(-8). Solve -5*v + d = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199750 and 423?\nAnswer: 1797750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387\/5 + 77. What is the nearest to y in 2, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-2)*4\/(-2 + -22). Which is the second biggest value? (a) 2 (b) -2\/9 (c) -2\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let n = u - -3. Suppose -5*f = 4*q - 6, 0 = 4*q + 2 + n. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033521741 to 7 dps.\nAnswer: 0.0003352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0*k**(-6)*((k\/k**(1\/2))\/k)\/(k\/(k**3*k)))**(2\/59))**(-4) assuming k is positive.\nAnswer: k**(20\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 155 = c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 13*l**2 - 17*l - 16. Suppose -2*n = -2*t - 6*n - 40, -t - 3*n = 23. Is 13 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -11\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l - 3559621 + 3560314 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Let p = 0 + f. Let o = 127 - 130. Sort -0.2, p, o in descending order.\nAnswer: -0.2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.061 - 0.061. What is the second biggest value in d, -0.4, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Suppose 10 = -5*z - 2*l + 43, 0 = -4*z - 2*l + 28. Let q = 17 + -12. Let n(b) = -q + z - b. Determine y(n(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 280987 = -48*y + 16*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1583, 0.03 in ascending order.\nAnswer: 0.03, 0.4, 1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434326296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/9 + 40*z\/9 + 14\/3 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziiz when four letters picked without replacement from ziizziiiiiizzi.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3824*m - 852.\nAnswer: 3824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - 3 + 0 + 7*u)*(-7*u - 2*u + 0*u) in the form r*u**2 + j*u + p and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o + 90022 + 46894 = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66\/9 + -7)\/((-2)\/30). Let f be 2*(-6)\/30*m. Sort 5, -3, f, 0 in decreasing order.\nAnswer: 5, f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - -354?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 0)\/(1\/(-4)). Let i be 15*(3 - z\/9). Let l(f) = -f**3 - 7*f**2 - 8*f - 6. Let v be l(-6). Solve -h - v = -4*h, -3*a = i*h + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56594*l**2*m**2 - 5*l**2*m - 153*l + 58*m**2 - 21*m + 7 wrt m.\nAnswer: -113188*l**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(((-4)\/(-6))\/1). Let s = -9 + j. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*x - 12, -5*n = -25491*x + 25492*x - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let y be h(-3). Let x = -5.1 - -0.1. Let r = -4.6 - x. Put y, 0, r in descending order.\nAnswer: y, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbb when three letters picked without replacement from bobbpbboobbbobbbob?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 526, 1?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/7 + 3\/7. Let h(f) = f**3 + 7*f**2 + 2*f - 3. Let m be h(a). Let q(i) = -i - 14. Let z be q(m). Solve -z*x = -6*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1462 + 2*v**3 + v**2 - 2*v**3 + 7*v - 1466 - 5*v**4 wrt v?\nAnswer: -60*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/6 + 73*w\/2 = 0. What is w?\nAnswer: -219, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4 - (5 - 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 264 = -0*j. Let p be 56\/j + (-2)\/(-3). What is the biggest value in 2\/19, -2\/7, p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*l = 21*l + 37066590. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 2. Give l(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 37268*m**2 - 1233552*m + 6058800.\nAnswer: 4*(m - 27)*(m - 6)*(m + 9350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**20)**23 assuming v is positive.\nAnswer: v**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278*m**2*o**2 - 54*m**2 - m*o wrt o?\nAnswer: 556*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314910 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {i: 2, w: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -0.5, 0, 0.5, 0.0504?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3634\/460 + 48\/(-6)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15, -2\/3, -0.03, 0.2, 0.14, -1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let s be (0 - -21) + 8\/(-1). Suppose 48 = -5*b + s*b. Solve b = w*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -235?\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by 15.\nAnswer: 247\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/30 + i**4\/24 - i**3\/3 + 51*i**2. Let t be y(-2). Solve -t = -5*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12990.18168ms to weeks.\nAnswer: 0.000021478475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9443951488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 41 - 44. Let c(o) = 4*o - 37. What is the remainder when c(k) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 88 + 124 = 0. Suppose -o + 3 = -0. Sort d, -3, o in increasing order.\nAnswer: -3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2\/(-3)*72\/(-22). Let z = 16 - 16. What is the closest to -1 in 0.3, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(275) - (sqrt(5) + -3 + -2).\nAnswer: -4*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 7*p + 6. What is d(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 25. Let q = 1 - 1.1. Let h = -0.3 + q. Which is the smallest value? (a) p (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2315*k**2 - 4898*k**2 + 4 + 2313*k**2 - 1 + 3.\nAnswer: -270*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 237 = -41*j. Find the second derivative of -10281*y**j + 10285*y**5 + 41 - y + 2*y - 12*y**2 wrt y.\nAnswer: 80*y**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**9\/7560 - q**7\/1260 - q**4\/4 + 6*q**2. Let y(t) be the second derivative of s(t). Suppose y(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -637*q**4 + 635 + 2568*q**4 + 480 - 886*q**4 - 758*q**4 wrt q.\nAnswer: 1148*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a factor of 2433952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30586*k**2*p**2 - 6*k*p**2 + 3*k + 7*p**2 + 3*p wrt k.\nAnswer: -61172*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -299388 divided by 4908?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 12. Let m be (-4)\/(-50)*(-7 - (-6)\/3). What is the biggest value in 2\/13, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 take away -0.002?\nAnswer: -131.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.05508mm in nanometers?\nAnswer: 82055080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - m - 219 + 213 = 0, 2*m + 6 = -5*j. Solve -25*q + 21*q + 8 = 4*w, -j*q + 1 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 80 = 4*f, 9 = -4*d + 2*f + 71. Suppose -7*u + 32 = -d. Calculate the remainder when 11 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1231?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3676098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/12*(-9)\/72*6*(-3)\/2505?\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 2\/4*-22. Factor -3*g**2 + d - 4*g - 5*g + 3*g.\nAnswer: -3*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.7, 0, 2\/29, 3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*q**2*s**3 + 2*q*s**3 - 580*s**3 wrt q?\nAnswer: 52*q*s**3 + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8*u**4 + 1427*u**3 - 9903*u**2 - 18050*u + 14800 = 0.\nAnswer: -185, -2, 5\/8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26\/(-2)*(-3)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10*k**5 - 2935*k**4 - 140105*k**3 + 362675*k**2 - 293345*k + 73700 = 0.\nAnswer: -44, 1\/2, 1, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 124*x + 293. What is a(-6)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let r = -5 - -8. Let b(m) = 0*m - 2*m + 4 - 3*m. Let s(w) = -4*w + 3. Let q(x) = r*b(x) - 4*s(x). Calculate y(q(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a99ab (base 16) in base 9?\nAnswer: -1267847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122688 and 578232?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (1 + 21 - (-16 - -16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 1*sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171) - (sqrt(171) - (1*sqrt(171) + sqrt(171))) - sqrt(171)) + -1)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 40 = -4*i. Suppose 5*r - z = 10, -3*z = r + r - 4. Suppose r*b = 12 + i. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6839884?\nAnswer: 2, 1709971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + 13 - (29 - 25)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 10.1?\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 213 = -41*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/3*0. Suppose 27*d + 46 = 181. Solve 5*r + 5*b = 20, -d*r + z*b - 4*b = -19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 5 + 4*u**2 + 5*u + u**3 + 4 - 5. Is 12 a factor of x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30213 (base 4) to base 7\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4 = -3*m, -3*m - 2*m + m = 5*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111001 (base 2) in base 8?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2. Let r(l) = l + 5. Let g(n) = 10*q(n) - 4*r(n). Let k(x) = 4*x + 21. Let u(j) = 20*j + 112. Let h(p) = 16*k(p) - 3*u(p). What is h(g(b))?\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n + 1 + 2*n**2 - n + n**3 + 0*n**3. Let f be q(2). Let i be (-6)\/f - 6\/(-40). Which is the closest to 2? (a) i (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 946014440 divided by 3314\nAnswer: 285460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 1281765*p**3 + 12818025*p**2 + 32045375*p = 0?\nAnswer: -5, 0, 256363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75302.76 centuries?\nAnswer: 7530276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*l**3 - 1652*l**3 - 4*l**2 + 4*l**2 + 821*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 47 = 904. Let l = -879 + m. Put 2\/21, 0.2, l in increasing order.\nAnswer: l, 2\/21, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 3. Let j = -4 - i. Let n be ((-2)\/9)\/(j\/3). Is n equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4 - 19*y + 2*y - 1. Let s be h(-2). Let b = s + -23. What is the smallest common multiple of b and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q - 73 = 0, -5*q = z - 6*z + 80. Let l be (4\/(-6))\/(z\/(-7137)). Let v = 227 - l. What is the closest to -3\/4 in -4, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1a49?\nAnswer: 1a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxuuupxp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67577 in -1, -2\/3, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t**2 + t - 1. Let h be d(1). Suppose 2*r - 11 = -45. Let u = h - r. Solve 2 = 2*w - 3*p, w - p - 2*p = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -707016.2 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a micrometer in nanometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -440\/23 - -18227\/966. Let l be (-4)\/10 - (-22)\/30. Let y = l + w. What is the common denominator of 95\/12 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.0138\nAnswer: -0.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, z: 2, f: 5, p: 1, e: 1}. What is prob of picking 1 c, 1 f, and 2 z?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446357 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdu when three letters picked without replacement from {n: 2, r: 1, d: 1, q: 4, u: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31062 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11556, 11555, 11554?\n\"Answer: -l + 11557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68 and 39281.8?\nAnswer: 39349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.4 + 99. Let u = -0.400558 - s. Round u to five dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 5. Let d = 18 + -14. Suppose 3*z - 9 = -3*m + 4*m, d*z = 2*m + 10. Let w be b(z). Is w <= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73663?\nAnswer: 19, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15144)\/1890 + (5 - -3). Is -1 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -1, 61, -22 in decreasing order.\nAnswer: 61, 6, 1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*z + 820. Let b = z - -158. Suppose -5*w + 5*o + b = 0, 4*w - 309 = -0*w + o. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*v + 541, 2*k + 451 = 5*v - 231. What is the remainder when v is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68))**2 - ((-2*sqrt(85) - sqrt(85))\/sqrt(5) + sqrt(17)).\nAnswer: 10*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + w**2 + 15*w + 30. What is the remainder when 2\/(1 - 87\/89) is divided by s(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -10 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -632*d**3 - 21*d**2 - 46*d + 14. What are the prime factors of r(-3)?\nAnswer: 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1911 times -0.1\nAnswer: 191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*h - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 4. Let o(b) = -b + 1. Let l be o(-3). Let r be i(l). Let c = -20 - -30. Calculate the greatest common divisor of c and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**7\/504 - 11*r**4\/12 - 10*r. Let w(m) be the third derivative of x(m). Let c(f) = -3*f**2. Determine c(w(i)).\nAnswer: -75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 17*g - 89 - 87 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 17305226*y - 224603135183307.\nAnswer: -(y - 25957839)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005512217 to 5 dps.\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80146 and 2288.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -159, -567, -1213, -2097, -3219, -4579, -6177?\n\"Answer: -119*j**2 - 51*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -61. Let a = 59 - c. Solve -3*b - 2*b - 40 = 5*r, -a = 3*b + 5*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4 + 32*q**3 + 3536. Let l(b) = 0. What is b?\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 12*b - 7*b - 99 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 18*d**2 - 6*d - 34. List the prime factors of s(-18).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 23*w + 20*w - 62 = -76, 24*b = 4*w - 88 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 1. Suppose 4*r - 38 = 5*j, 3*r = -3*j - 0*j - s. Let g = 12 + j. Calculate the remainder when 11 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*a**3 + 12*a**3 - 30*a**3 - 27*a**3 - 35*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*p**2 - 365*p - 680.\nAnswer: -5*(p + 8)*(7*p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2371*w + 2026*w + 494*w.\nAnswer: 4891*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -492, -5, -2, 65 in decreasing order.\nAnswer: 65, -2, -3, -5, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 - 93*o - 504 = 0.\nAnswer: -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1*l)**(-2\/7)*l**7\/(((l*l\/l**(1\/10))\/l)\/l))**34)**22 assuming l is positive.\nAnswer: l**(170918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - 4*h - 3. Let w(j) = 2*j**3 - 4*j**2 - 3*j - 4. Calculate 4*k(l) - 3*w(l).\nAnswer: -2*l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/17 and -145\/1614.\nAnswer: 27438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 - 1077*x**3 + 1173*x**2.\nAnswer: -48*x - 6462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7188*v**3 - 41 + 41 - 14374*v**3 + 7182*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171)*2 + (1 + (sqrt(171) - ((sqrt(171) - (sqrt(171) + (sqrt(171)*-1 - sqrt(171)))) + sqrt(171))))**2)*2.\nAnswer: -12*sqrt(19) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3039480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-38.8\nAnswer: 3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -260 + 274. Suppose -15*w + 12905 = h*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/8))**(-24)\/(u\/(u\/(u\/u**(-3\/5))))**38 assuming u is positive.\nAnswer: u**(-379\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -102*x + 12951. What is b(127)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -0.5. Let l = s - -5. What is the second biggest value in 0, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2529083 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10212, 10153, 10054, 9915, 9736, 9517?\n\"Answer: -20*s**2 + s + 10231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 3*d = 2*c + 17, 0 = 2*c - 3*d + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60977881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.019? (a) 3\/4 (b) -0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28817 - 13337. What is the highest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 58*w - 65*w. Suppose -49*a + 335799 = -w*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)*a*a*a**(-3)*a*a*(a*(((a*a*a*a**4\/a*a)\/a)\/a)\/a)\/(a*a\/(a*a\/a**(1\/2))*a) assuming a is positive.\nAnswer: a**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*m - 4*k - 44 = -1252*m, 760 = -95*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41\/42 - -5\/6. Let m(c) = -c**3 - 3*c**2 + c. Let b be m(0). Is a less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 118881235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-8008)*-26*(-7)\/(-2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 - 547 = -4*b. Let c(r) = -11*r**2 + 136*r - 222. Let i be c(10). What is the greatest common divisor of b and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001011 (base 2) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 876*k + 148925. Calculate x(-170).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6879131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243096824?\nAnswer: 2, 30387103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**6\/720 - x**5\/360 + x**4\/144 + x**3\/36 + 17*x**2\/2 - 6. Let t(f) be the second derivative of m(f). Factor t(o).\nAnswer: -(o - 1)*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001111369519 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/4 (b) -1 (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -2. Let g = 0.2 + j. Suppose 0 = 8*k + 17 - 41. What is the smallest value in g, 1\/10, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 10:59 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11283153 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.63 take away 4522700?\nAnswer: -4522697.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*g + 662, -70*f + 68*f + g + 334 = 0. What is the greatest common factor of f and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1646.68593967\nAnswer: 1647.08593967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1470 and 210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764 (base 16) in base 12?\nAnswer: 8258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30785, 61597, 92409, 123221, 154033, 184845?\nAnswer: 215657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.15 at most -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10377*h**2 + 10696876 + 989308499 - 11964681*h + 3598420356 - 3*h**3.\nAnswer: -3*(h - 1153)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813753 is divided by 401964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*j + 26, -5*f = 3*j - 0*f - 17. Suppose 0 = g + j - 12. Differentiate 38*t - 4*t**3 - 38*t - 12 + 5*t**g wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.05 (c) -0.4 (d) 0.02 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*r + 13993 - 53 = -192*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 8 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29230 or 29229?\nAnswer: 29230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003 * -0.2.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 2, g: 1, x: 1}. Give prob of picking 1 g and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309681960.\nAnswer: 2, 5, 43, 761443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-666)\/15 + (-72)\/120. List the prime factors of 3\/15 - 16776\/b.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8*t = 798. Calculate the remainder when t\/(-22) + 5 + 17784\/44 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19235 divided by 5.\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 - -13 - -37 - (-5 + 4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:52 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -51. Let w(r) = -r**3 + 38*r**2 + 40*r - 16. Is w(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -5)\/((-1)\/2). Let j(k) = k**3 + 3*k**2 - 4*k + 5. Let d be j(-4). Put d, s, -1 in descending order.\nAnswer: d, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398304?\nAnswer: 2, 37, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 3438 - 5778 = 0. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(0*o - 3*o - 2*o) to the form u + p*o and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(12 - 15 - 8)*(-1 + 0 - 2)*(5*s - 3*s + 4*s).\nAnswer: -396*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:07 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1874 and (-38318)\/238935 - (-1)\/6.\nAnswer: 9370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from wkxxxbxixikxxxixxlkx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 35*v**3 + 5*v**2 + 6*v - 5. Let u(b) = -34*b**3 - 6*b**2 - 7*b + 6. Give 6*c(r) + 5*u(r).\nAnswer: 40*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14133 + 14157. Suppose -7 + 63 = 2*p. Let w be h\/(-18)*(-6)\/p. What is the nearest to 0 in 0, w, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(18\/4)\/(-3). Let x = -82 + 143. Let h = 57 - x. Sort -5, z, h in descending order.\nAnswer: z, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 226 = 5*y - 10*y, 2*l + 3*y = -112. Let n = 107 + l. Calculate the remainder when n is divided by 67\/4 + (-18)\/(-72).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225 - 2468?\nAnswer: -2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/7 + 5804*v\/7 - 744180 = 0?\nAnswer: -6594, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-89)\/(-1602))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w**3 + w**2 + w - 1. Give y(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = 0, 4*r + 0*r + u - 10 = 0. Solve -5*m = -2*c - 7, 0*c - 5*c = -r*m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c - 4*s, 5*s = -3*c - c - 2. Suppose 2641 = 3*w + c*z, -w - z = 2*z - 885. What are the prime factors of w?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 greater than or equal to 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50218265 - 0.073124.\nAnswer: 50218264.926876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r*r**(1\/11))\/r)*r)**36 assuming r is positive.\nAnswer: r**(1152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*(87 + -36 + -52).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58208.5049 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + -1 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.99 - -69.29. What is the second biggest value in 0.16, -4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/12)\/(2\/(-12)). What is the least common multiple of 4 and 8 - (0 + -2) - s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03352 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let l(p) = -335*p - 9. Let t(q) = 37520*q + 1005. Let a(s) = 335*l(s) + 3*t(s). Calculate o(a(n)).\nAnswer: 112225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s - 49. Let j(c) = 6*c**2 - c - 2. Let b be j(2). Let v(y) = -48*y - 344. Let n(l) = b*i(l) - 3*v(l). Is 18 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let c(l) = 7*l**2 + 715*l - 9*l**2 + l**2 - 703*l. What is o(c(s))?\nAnswer: 2*s**4 - 48*s**3 + 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 35196924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162921 is divided by 1336.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 282 = 5*a, -3*j - 226 = -3*a - a. Suppose -5*y = -a - 42. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 131*m + 8. Let b(c) = 319*c + 17. Let i(a) = 2*b(a) - 5*t(a). What is i(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.52 - 11.52. Which is the biggest value? (a) -2 (b) o (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 76 = 16. Let m be 220\/30*(-9)\/p. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 455959, 4, 10 in increasing order.\nAnswer: 4, 10, 455959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 1284.56?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -110. Let b = -3 + 7. Suppose -5*o + 0*h - h = -i, 0 = b*o + 5*h - 1. What is the nearest to -0.3 in -3, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-7)\/3 - (-24)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (7 + -2) - 6) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2719\/2100 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-30) - (12\/(-18) - -1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 69.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 29. Calculate d(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 + -120. Let v = 36 - i. Let l = -47 - v. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/3 in -4, 0, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 23535142621.\nAnswer: 23535142621.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1586*g = 1584*g - 10, -5*u + 18 = -2*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656485.\nAnswer: 5, 31, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 208*n**3 - 3456*n**2 - 15552*n + 46656.\nAnswer: -4*(n - 2)*(n + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 1.3. Round z to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -21.3. What is p rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 38 + 70 = 0. Suppose 2*l - w - w - u = 0, 4*w = -l + 32. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -1. Let f be -1*10\/(-4)*(-4)\/(-15). What is the smallest value in f, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 42\/(-12))\/(3\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7802 + 0.812282?\nAnswer: -5.967918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1858 = y, 0 = -4*o - 8*y + 9*y + 7429. Let d = 4228 - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -174*g + 1602. What is c(13)?\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 equal to -0.3215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13414 (base 5) to base 4.\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.288 take away -20321?\nAnswer: 20342.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(605)*1) - -5*((sqrt(5) + 3)*-6 + sqrt(5)).\nAnswer: -90 - 274*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5*-5*(-51)\/(-840) and -129\/308.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17016 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -318, -1950, -4668, -8472, -13362, -19338?\n\"Answer: -543*c**2 - 3*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.2. Let m = 54\/223 + 176\/1115. What is the biggest value in q, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183.7 and -0.1.\nAnswer: 18.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -7766*o**3\/13 + 38966*o**2\/13 - 6828*o\/13 = 0. What is o?\nAnswer: 0, 2\/11, 1707\/353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 6*j + 42. Give m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 21 = -3*x, 0 = r - 3*x + x - 1. Suppose -7*m - r - 9 = 0. Let l(b) = -2*b - 9. Let g be l(-6). Put 2, g, m in decreasing order.\nAnswer: g, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.490413nm to centimeters.\nAnswer: 0.0000005490413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 + 9)*(2 + 3 - 4)*(5*h + h + h).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 50*n**2 - 20*n - 5. Is 37 a factor of u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/40958035 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let j = -30 + 70. Let i = 38 - j. Which is the closest to q? (a) i (b) 2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -22*x - 5. Let u = -5442 + 5444. What is d(u)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/6240*20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7 = -2, 5*j = 2*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/((4*sqrt(24) - sqrt(24)) + sqrt(6)) + 2)*-1.\nAnswer: -2 - 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -47, 5, -15, -6.\nAnswer: -47, -15, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 747005.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 24 = 9*i. Find the common denominator of 34\/11 and (-60)\/(-44) - i - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 22\/20 - (3664\/160 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763493957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11 = -r, 8 = 3*o + 4*r + 1. Let z be (-36)\/(-12) + o*1. Let s(d) = d**3 - d**2 + 19. What is the units digit of s(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 - 6*c**3 + 4*c**4 + 11*c**2 - 5*c**2 - 2*c - 6*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 44, 5, -40, -3 in descending order.\nAnswer: 44, 5, 2, -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 135 = -15*z. Let a = 37 + z. List the prime factors of 1386\/15 - a\/(-20).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 33762882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -34460 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 170\/15103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**5\/180 - t**4\/48 + t**3\/18 - 25*t**2\/2 + 38. Let k(b) be the second derivative of s(b). Factor k(g).\nAnswer: -(g + 2)*(2*g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g\/(g*g**(2\/29)*g)*g))*g\/(g*g\/(g**(-15)\/g)*g))**(-20) assuming g is positive.\nAnswer: g**(9900\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*x - 269*x = -2*l - 14, -3*l - 98 = -7*x - 0*l for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 405, -0.2, 5685.\nAnswer: -5, -0.2, 405, 5685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - 1)\/(-4 + 2). Suppose 3*m + 13 = i. Let j(n) = -n**2 + 3. Determine j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/25 + 0)\/((-3)\/(-75)). Let p = -20 - q. Suppose 3\/2*f**5 + 3\/2*f**4 + p*f**2 + 0 + 0*f - 3*f**3 = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 3*d - 4*d - 2*d**2 - 4 + 5*d**2. What are the prime factors of t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 32) + (-155 + 288 - 116)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 0 + 20\/3*n - 2\/3*n**3.\nAnswer: -2*n*(n - 2)*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 18*o - 50. Give g(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 316004 = -84716. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 + 3*a + 2. Let s be y(-3). Find the second derivative of 4*b + 3*b**3 + 2*b**2 - s*b - 2*b**2 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146808592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 36591.24035 to the nearest ten.\nAnswer: 36590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 113?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 6*g - 4*g. Suppose 3*q + 30 = 5*l + 8*q, g = -4*q. Solve 4*u = 6 - l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 - 52*l**4 + 8*l**3 + 104*l**2 - 4*l - 52 = 0. What is l?\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Let t(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + 3*y**3\/2 + 2*y**2 - y. Let v = -3287 - -3296. Let o be t(v). Give q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64482.42 millennia?\nAnswer: 773789040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = 16. Suppose y*m - 32 = 44. What is the derivative of m - 8 + 2*x - 13 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. Let t(s) = -1. Let z(d) = b(d) + t(d). Suppose -4*h - 5 + 17 = 0. Let k(q) = -q**2 - 3*q - h + 2 + 0*q**2 - q. Give 2*k(a) - 6*z(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 15. Is f at least as big as 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.9 - 62.03. Let o = -45.57 + m. Let q = 48.7000233 + o. Round q to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p + 21. Let w be a(-11). Let t be ((-6)\/(-7))\/(28\/w). Solve -7 = -5*z + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5\/4, 90?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -12220103?\nAnswer: 12220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 7. Let h be s\/14*(-2 + 23). Is 9\/h + (-67)\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2) + (-2 - -4). Suppose -w = -c*w, 0 = -2*l - 5*w + 6. Suppose 0 = -3*b + 2*b - l*z - 1, 2*b - 5*z = 31. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 - 4*y + 1. Let l be r(-6). Let k = 38 - l. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 0*t)*(-1 + 2 - 2)*(-3*t**2 + 7 - 1 - 3).\nAnswer: -3*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*u - 54*u + 121*u)*(-2 + 5 - 2)*(-u - 4*u + 2*u) as r*u**2 + o + f*u and give r.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let p = v - 2. Sort 0.2, p, -2\/9 in descending order.\nAnswer: 0.2, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - (-9 + 1 + (19 - -53 - -7))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 21*k - 77. Let r be d(22). Let n be ((-44)\/r)\/((-2)\/165*-3). Solve -2 = n*w - 24*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 - 38 = -2*q, -5*q + 5*p = -95. Suppose -c - q = -2*w - 6*c, c + 2 = 0. Suppose -g + w + 9 = 0. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 3, 716, -37 in descending order.\nAnswer: 716, 12, 3, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgcc when four letters picked without replacement from {c: 3, g: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102119 is divided by 2406.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -791*z + 774*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*w - a + 8, -5*a = -4*w - 37. Let o be -10*((-12)\/8 - -1). Let i = -0.35 - -0.05. Put o, w, i in decreasing order.\nAnswer: o, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*u - 86. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**4\/4 + 19*b**3\/3 + b**2\/2 - 14*b + 11. Let d be p(19). Solve -d*h - 11 - 9 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -34304132144?\nAnswer: -34304132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, 5, 2\/9?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4 + 7, 4*h + 149 = 5*g. What is the remainder when 174 is divided by (7\/((-147)\/h))\/(12\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Suppose x = 5*n - 2*n. Let a be (2 + (4 - -3))*n. What is the highest common divisor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09215211 times 0.9\nAnswer: -0.082936899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 - -227. Solve f*x + 2*x + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091 + 1115 = -220*f - 649*f + 468 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - d. Let x be m(-1). Let l = x + 5. Suppose -5*u + 1 = -9. Solve u*k - l*k = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -856629, -1713224, -2569817, -3426408, -4282997, -5139584?\nAnswer: -5996169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - p**2 - 3. Let b(q) be the first derivative of -5*q**4\/4 + 2*q**3\/3 + 7*q - 2. Determine 3*b(d) + 7*h(d).\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j + 1. Let k(x) = 196*x + 1955. Let q be k(-10). Let f(l) = -40*l**2 + 5*l - 5. Determine q*p(o) - f(o).\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.004 - 37.004. Let m = 25.1 - 60.1. Let j = p - m. Sort 0.1, -0.1, j in descending order.\nAnswer: 0.1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 greater than -55594899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 9*g - 1. Let j be n(-6). Suppose 2*b - j = 3*l - 341, -3*b = 5*l - 360. Suppose 7*z - 5*z - l = 0. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7309258 by 5027.\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 0*s. Let p be -3*(-3 + s + 1). What is the derivative of -2075*u**3 + p*u**4 + 52 + 2077*u**3 + 2*u**4 wrt u?\nAnswer: 20*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6150)\/60*(54\/(-5) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 163\/7*w + 164\/7 - 1\/7*w**2.\nAnswer: -(w - 164)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/(-159) - 1\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-234))\/((-1)\/(-69))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 856889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147, -106, -41, 48, 161?\n\"Answer: 12*v**2 + 5*v - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.023, -1, -0.4 in decreasing order.\nAnswer: 0.023, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 824 or 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12567.7 and -5.\nAnswer: -62838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14317632 divided by 1590848\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from nxxxdxdd.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yycc when four letters picked without replacement from {y: 4, c: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/4 + (-7)\/(-14). Let g = o + -8. Factor 0*k + 2*k - 2*k - 3*k**g - 3*k**2 + 6*k**3.\nAnswer: -3*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r - 4. Let t be b(-5). Suppose 269 = 4*k - t. Suppose m - 2*m = -15. What is the greatest common divisor of k and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (57 - 101) - -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - c**4 - 2 + (-51*c - 63*c + 7*c)*(c + 2*c**3 - c) + 2*c**4 - 2*c**4 - 2*c**4.\nAnswer: -217*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 divided by -756?\nAnswer: -179\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2079\/2 + 1038. What is the smallest value in 30, p, -1\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 63*n - 46. Let x be i(-22). Let r be (10\/x)\/((-2)\/(-40)). Solve 0*v - 4*v - r = 2*u, -2*u + 14 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(243)*-1)\/(sqrt(9) + sqrt(1089)*3 - (sqrt(9) + 2*1*sqrt(9))).\nAnswer: -45*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/11 + 1292*v**4\/11 - 211226*v**3\/11 + 829464*v**2\/11 - 824328*v\/11 = 0.\nAnswer: 0, 2, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1973757 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 167282383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvivvxiiiviivvvvvii. Give prob of sequence vixi.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(36\/(-6)) + (-60)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252958 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*o + 14*o - 11*o to d + r*o and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -29?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - 3*(sqrt(8) - (sqrt(8) - sqrt(200)))).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -4\/13*j - 2 - 2\/39*j**3 + 3\/13*j**2. Factor c(w).\nAnswer: -2*(w - 2)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 9*v**2\/2 - 22. Let k(o) = 33*o + 33*o - 63*o. Give l(k(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 781*j**2 + 2*j**3 + 2*j - 371*j**2 - 386*j**2 + (j + 1 - 1)*(-j**2 - 4 + 4) in the form z + c*j + l*j**3 + h*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-6)*1)\/(-9))\/((-14)\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {b: 2, e: 1, o: 2, f: 1, x: 1, n: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(24\/9 + -1). Let x = 78 - 232\/3. Which is the nearest to 0.1? (a) -3 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let w(m) = -m**3 - 10*m**2 - m - 11. Let d be w(-10). Let k(c) = -4*c - 1. Determine d*k(b) - 3*q(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - -2.95. Let i = -0.08 + o. What is the third biggest value in -0.1, i, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2253\/16 - -583\/4. Find the common denominator of s and 37\/164.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*r**2 - 9*r**2 - r**3 - 4*r**3 + 3*r**3 to p*r**3 + j + x*r**2 + i*r and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 17*v + 14. Let w be h(7). Let o = 102 - w. Solve -13*f + o*f = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6*q - 48. Let x(f) = -f**2 + 14*f + 35. Let i be x(q). Solve 4*k = -7 + i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -10) + 5 - (-2 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19402240 and 2067?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 16*o**3\/3 + 18*o**2 + 8*o + 107. Factor s(l).\nAnswer: 4*(l + 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tdtvtxdvtxxtvxxxttx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*43400\/(-3255)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4984, -18963, -42242, -74821?\nAnswer: -116700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:10 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 4, o: 2}. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -65.6. Suppose -7*m = -3*m - 8. What is the third biggest value in 5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 + 12?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*n + 30 = 0, -2*d - 2*n - 22 = 3*d. Let c = d - -10. Let f(m) = m**3 + 3*m**2 - 2*m - 2. Let k be f(-2). Solve -c*y = 2 - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 962, -5, -0.5, 2\/9 in increasing order.\nAnswer: -5, -1, -0.5, 0, 2\/9, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 8. Suppose -3*a = n + 2*n - 24, -d*n - 2*a = -26. Suppose -n*z = 10, 2*z - 5 = -p + z. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 22. Let q be h(7). Put -3, q, 3 in descending order.\nAnswer: 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 20. Let m = -3.2 + 3. Let w = 9\/13 + -24\/91. What is the nearest to b in w, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -21. What is the common denominator of 14 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 + 13 = 0. Let h be (8\/y)\/(3\/15). Find the common denominator of -79\/18 and (1\/(-25))\/(h\/110).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 - x**3\/3 + x**2 + 9*x. Let d(a) = -5*a**2 + 11*a - 11. Calculate -2*d(s) - 11*v(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*h + 57, 5*h + n + 36 = -81. Is h\/108 + 24365\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus 0.5?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(4\/9)\/w)\/w)\/(((w**(2\/3)\/w)\/w)\/w))\/(w**1)**(2\/17) assuming w is positive.\nAnswer: w**(254\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106026071*d**2 + 26564998 wrt d.\nAnswer: -212052142*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**3\/21 - 4*r**2\/7 + 8*r\/7 - 40. Suppose x(s) = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -32700381?\nAnswer: -32700377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2252\/9 - -250. Which is the third biggest value? (a) -5 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 5*r + 2*r + 51 = 0, -2*x - 3*r = 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38895 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + 0.2. Let s = -1.3448 - -0.8448. What is the closest to a in 15, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 304529 and 304528 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 10.72776 micrometers?\nAnswer: 0.001072776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {g: 3, y: 2, a: 7, m: 3, p: 1, i: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/5 - 78582*h**2\/5 - 25147878*h\/5 - 2020230898\/5 = 0.\nAnswer: -38969, -161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 6*q - 5. Calculate the smallest common multiple of 2 and c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274308 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-20) - 655\/7598. Which is the second biggest value? (a) -0.5 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49920 and 720?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, h: 5, i: 1, q: 1, v: 6}. Give prob of picking 1 v, 1 h, and 1 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/7 - 10*g**3\/7 - 6*g**2\/7 + 34*g\/7 - 20\/7.\nAnswer: 2*(g - 5)*(g - 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 16.9, 2\/37, -0.1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(700)*-2)\/(1*(sqrt(324) + (sqrt(324)*1 - sqrt(324) - sqrt(324) - sqrt(324))))*6.\nAnswer: 80*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z*z\/(z*z*z**6*z*z))\/(z*z**0)**(10\/7)*z**(-2\/17)\/(z**(-1\/4)\/z)*z**2*z*z**2*z assuming z is positive.\nAnswer: z**(811\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j + 7 + 14 + 245*j**2 - 244*j**2 - 30*j. What is s(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*2 + -5 - sqrt(34)\/sqrt(8)*-6.\nAnswer: -5 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*k = -303*k. Solve -2*p - z - 7 = -k, 5*p + 34 = 3*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 + (-3)\/(-15)*15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let q(p) = -p**2 + 4*p - 2. Let b be q(2). Suppose b*u + 13 = 5. Sort d, u, 5.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 1165.\nAnswer: 1164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -702664993 or -2107994981\/3?\nAnswer: -2107994981\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/((-1)\/(-5)). Suppose 45*f - 29 + 69 - 265 = 0. Calculate the greatest common factor of j and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8067884081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2988*u**4\/19 - 1730*u**3 - 2966*u**2\/19 + 1730*u - 22\/19 = 0.\nAnswer: -1, 1\/1494, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:07 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f - 249. Let h(a) = -2*a - 50. Let i(m) = -24*h(m) + 5*o(m). Let w be i(14). Is 6 a factor of (12\/w - 37)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:52 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n + 15. Calculate o(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/7 + 3478*t**4\/7 + 1513794*t**3\/7 + 1503370*t**2\/7 - 3020644*t\/7 = 0 for t.\nAnswer: -869, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 15*h**2. Let u be q(15). Let v(s) be the first derivative of 1\/3*s**3 + 2 + 0*s + u*s**2. Let n(a) = 3*a**2. What is n(v(p))?\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519 divided by 217?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -142, -181, -220, -259?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -0.04, -2\/9?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*i + 14. Suppose -6*a - 10 = i*b - 3*a, a + 7 = 3*b. Let s be b\/(-6)*22 + 3. What is the nearest to -0.1 in s, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2864260*u**2 + 47572024*u wrt u?\nAnswer: -5728520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*g**3 - 324*g**3 + 46*g**3 + 41*g**3.\nAnswer: -66*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.892743 at least 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**9\/24192 + z**8\/13440 + 23*z**3\/6 - 15*z**2. Let g(l) be the first derivative of f(l). Let g(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7067568 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21856777?\nAnswer: 139, 157243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let d = 8.7 + 1.1. Let m = -10 + d. Sort 4, m, v in ascending order.\nAnswer: m, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512\/(-192)*282\/16\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 67682*s**3 - 760771920*s**2 + 2809650262400*s + 345236128384000.\nAnswer: -2*(s - 11320)**3*(s + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(144)*-3 + 0)**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65.251607*0.01\nAnswer: 0.65251607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggiscigcgpiiipggggg. Give prob of sequence gp.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -68 - (2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -19273 = -2\/1443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144288 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyhskybsb. Give prob of sequence bhsy.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39433\/39 + 1010. Find the common denominator of r and 59\/38.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:42 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2032 (base 4) to base 8\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*g - 194, -3*f - g - 53 = -244. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49cb (base 13) in base 9?\nAnswer: -15330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14914?\nAnswer: 2, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 58*b**3 - 38*b**3 - 16 + 2.\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutttuattaaatutt. Give prob of sequence uu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 4*x + 4)*(1 - 4 + 2) - x + 0*x + 3*x)*(1 - 3 + 4).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -48 - 15*x + 24 - 4*x**2 - x**3 - 3*x**2 + 0*x**2. Let l be z(-5). Solve 0*k**2 - 3\/2*k + l + 1\/2*k**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349550185.\nAnswer: 5, 17, 23, 227, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 5. Let g be y(13). Let f be (-2)\/(-4) - (-297)\/g. Let m = f + -14. Which is greater: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = 2*b - 3*b, -3*x + b + 6 = 0. Let r be 55\/15*x + -1. Solve r = 2*n + 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 - 78 - (10 - 10 - 18)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k = -308 + 146 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 1. Let k be (-86 + 7)*(-5 - 0). Let f = 400 - k. Give p(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsswpspppsuwpppppp. Give prob of picking 2 s and 2 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/4 - ((5 - 12) + 6). What is the nearest to 2\/7 in 1, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10864 - 10849. Calculate the greatest common factor of s and 8005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101301 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 5 = 44*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -1\/8 in descending order.\nAnswer: 3, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 145, 286, 427, 568, 709, 850?\n\"Answer: 141*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6688 and 768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*o - 7*o. Let j = 4 - -5. What is the greatest common divisor of o and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 59*l**4\/12 - 20*l**3\/3 + 5*l + 30. Let u(j) be the first derivative of n(j). Find the second derivative of u(h) wrt h.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -1\/3 (b) -0.02 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 4*u - 8. Suppose -2*v + 37 = 5*m, 5*v - 35 = -0*v - m. Is q(v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254111 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191 - 194.57. Let x = -3 - h. What is x rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1515.0029642 to 0 dps.\nAnswer: -1515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6449267 divided by 48?\nAnswer: -6449267\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 6*k + 2*k**2 + 5*k.\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1923 - -4.9.\nAnswer: 4.7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130854162 divided by -26886.\nAnswer: 4867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**5 - 31*i**3*w + 1104*i*w + w wrt i?\nAnswer: -120*i**3 - 186*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 2*c**3 + c + (-2*c - 114*c**2 + 11 + 8*c + 117*c**2)*(2*c - c + c) to y + u*c + i*c**2 + n*c**3 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 6. Let b be h(-5). Let n be (-27)\/(-162)*1*66. Put b, -1, n, -3 in ascending order.\nAnswer: -3, -1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**3*s**2 + 7142*h**3 - 126*h**2*s + 2*h**2 + 2*h*s**2 wrt s.\nAnswer: -6*h**3*s - 126*h**2 + 4*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 20. List the prime factors of 3 + -1 - (-5 + d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 13. Let w be o(5). Is -36\/11 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7218822 divided by 189969?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16000 = 4*u - 8*u. What is u rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008465389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 - (-2 + -5 + 0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(102))\/sqrt(6) - (sqrt(17) + (sqrt(17) - 2*sqrt(272)))))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 202011002021 (base 3) to base 16\nAnswer: 60d5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 - 33*n**3\/4 - 39*n**2\/2 + 70*n = 0. What is n?\nAnswer: -4, 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -14*y + 11. Let m(a) = -5*a + 4. Let p(z) = -4*g(z) + 11*m(z). Let n(v) = 2*v + 1. Calculate 3*n(q) - 4*p(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -405\/7*i - 81\/14*i**2 + 12 - 33\/14*i**4 + 1\/14*i**6 + 90\/7*i**3 - 9\/35*i**5. Factor u(c).\nAnswer: 3*(c - 3)**3*(c + 1)*(c + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n)*(n - 4 + 4) + (-n - 3 + 3*n + n)*(n - 6*n + 3*n).\nAnswer: -7*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3. Let f be s(0). Suppose c + f = 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 41. Find the second derivative of -10*l**2 + 0*l - l + q*l**2 + 0*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127544459*d**3*q**5 - 37616*d**3*q - 368*d**2*q + 2*d**2 wrt q?\nAnswer: 2550889180*d**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 - -44. Let y(q) = -19*q**4 + 25*q**3 + 18*q**2 - 61*q + 37. Let v(h) = 3*h**4 - 4*h**3 - 3*h**2 + 10*h - 6. Let c(b) = n*v(b) - 6*y(b). Factor c(m).\nAnswer: -3*(m - 2)*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 692318.4 litres?\nAnswer: 692318400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 + 148*y**2 - 46*y?\nAnswer: 40*y**3 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by -130?\nAnswer: -56\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78.821596 and -30.5327.\nAnswer: -109.354296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -278, -2\/9, -2, 2\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 88 + 8 = 0. Let z be (-2)\/4 - (-18)\/4. Suppose 0*p + z*p = m. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/96*8\/(5 + -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.99796 tonnes in nanograms?\nAnswer: 50997960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:13 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237 and 1047303?\nAnswer: 1047303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 194790 + 3?\nAnswer: 194793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 21*u - 9. Let y be b(-3). Let w be (-2)\/(-7) - y\/42. Sort -5, -2, w, 5 in decreasing order.\nAnswer: 5, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 288*h**2 + 2*h + 158*h**3 + 289*h**2 - 8*h + 5*h as g*h**3 + i + b*h + c*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*j - 9372, 191*n + 2*j + 1852 = 192*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*j**3*p**5 - 12*j**3*p**3 - j**3*p + 444*j**2*p - 2*p wrt p.\nAnswer: 4000*j**3*p**3 - 72*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.99442 days in minutes?\nAnswer: 2871.9648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 4. Let p be s(9). Suppose 0 = -5*j - 2*c - p, 1 - 2 = j - 2*c. Let h(g) = -3*g - 1. What is h(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*k**5 + (-k**2 - 2*k**2 + 2*k**2)*(-42*k**3 + 69*k**3 - 36*k**3) + 2*k**5 - 2*k**5 - 5*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -110. Let c be 2 - (-80)\/(-36) - (-93)\/m. Factor -1\/4*n**2 - 9\/4 + c*n.\nAnswer: -(n - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52637 = -f - 3*p + 4*p, -6*p = 3*f - 157911. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 68. Calculate the remainder when ((-1)\/2)\/(3\/(-132)) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241011 (base 5) to base 6\nAnswer: -105041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1747\/60 - 117\/4. Let l be 7 + (-12)\/(-6) + -10. Which is the third biggest value? (a) w (b) -5.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 + 22*k**3 - 192*k + 23539 wrt k.\nAnswer: 4*k**3 + 66*k**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 - -274. What is the remainder when n is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316808295.2 rounded to the nearest one hundred thousand?\nAnswer: 316800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 225?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, -0.01, 86 in descending order.\nAnswer: 86, 2\/15, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 12. Solve 0 = m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*z**3 - 3*z**3 - 4*z**3)*(5*z + 3*z - 4*z) - 2*z**4 + 3*z**4 - 3*z**4.\nAnswer: -138*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300618?\nAnswer: 2, 3, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.3339 - 5.242. Round h to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200979.\nAnswer: 3, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 449*z**2 - 91*z + 91. What is o(1)?\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3590.98 * 1.9\nAnswer: -6822.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Let q(t) = t**3 + t + 16. Let c be q(y). Suppose -2*r - 2*r + c = 0. Solve 2*j = 3*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + i = 5*i - 183, -5*v = 2*i - 861. What is the highest common divisor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137095979 to the nearest integer?\nAnswer: 11709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -161 in 0.09, -7, -3, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -4, 3, -1393 in ascending order.\nAnswer: -1393, -6, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/((-14)\/21). Suppose -3*f + 5*z = -13748, k*f + 11*z - 15*z - 9164 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 26 = 4*x + 28, 0 = 3*b + 4*x + 34. What are the prime factors of (-78)\/b + 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -20, -0.01, 14574?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/19, 417.\nAnswer: -2\/19, 0.5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -24102376?\nAnswer: 24102376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:43 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -6, -3, 0 in decreasing order.\nAnswer: 0, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 - 4599*c - 11. Let l(o) = -2*o**2 - 11. Give -l(g) + r(g).\nAnswer: -2*g**2 - 4599*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1613\/312 + 242\/39. Find the common denominator of z and 59\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 6*v**2 + 3*v - 6. Let u be k(-6). Let f = 40 + u. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*a - 19*c, -5*c - 114 = -a - 126 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-1 + 5 - 2*b**3 - 3 + (-4 + b**2 + 4)*(0 + 0 - b)).\nAnswer: -3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0a (base 16) to base 8.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 14*j + 21. Let y be d(10). Let u be 9*(y\/3)\/(-1). What is the greatest common divisor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Let b(j) = 2*j - 16. Let w(a) = b(a) - 3*l(a). Let p be w(11). Solve -2*f - 5*v - 3 - 22 = 0, -5 = p*f + v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y + 2*y + (0 - y + 0)*(0*y**2 + 2*y**2 - 4*y**2) + (42 - 42 - 5*y)*(-3*y**2 - 3*y**2 + y**2 + 4*y).\nAnswer: 26*y**3 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1032*z - 7220. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 84911.5km?\nAnswer: 84911500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4494446 decades to months.\nAnswer: 53.933352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -1 + (24 - 31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6*x + 60. What is the common denominator of -25\/4 and (x\/(-20) - -1)*35\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*a**4 - 206?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**3 - 75*k**3 - 71 + 145 - 74.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -r - 5*r. What is the hundreds digit of r - (-139 - (-5 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/13 - 6328*l**2\/13 + 56746*l\/13 + 138820\/13 = 0?\nAnswer: -2, 11, 3155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -28*o - 54. Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/949 + 1916\/8541. Let n = -1.541 - 0.459. Which is the nearest to 0? (a) z (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 17. Calculate s(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1426059 divided by -475353.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 6 - 1. Let g = -977 + 374. Let o = 606 + g. Sort -2, o, v in decreasing order.\nAnswer: o, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*k - 162 - 20, -5*c + 962 = -k. What is the greatest common factor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**2. Let b(k) = 7*k**2 - 4. Calculate q(b(t)).\nAnswer: 735*t**4 - 840*t**2 + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 33. Suppose 5 = -5*x + 25. Suppose x*u - 475 = -u. What is the remainder when u is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(2 + 96476\/264). Let k = x + 6627\/2. Let o(y) = -y**3 - 3*y**2 + 2*y - 2. Let b be o(-4). Are b and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, 2 in increasing order.\nAnswer: 1, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 24\/9)*3. Suppose -2*j + y*i + 684 = -956, 5*j + 4*i = 4170. Round j to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - 15*b + 27. Let s(y) = 2*y**2 + 8*y - 13. Let o(f) = -3*q(f) - 7*s(f). Let v be o(10). Solve v = 4*p + 8, 4*p + 9 = i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4 = 0, -11*d - 18 = -4*m - 13*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6*b - 20, 0 = 4*m + 4*b - 6968. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -5\/3, 0.2, 2, 666\/47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42\/5 of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -42*m - 4634. Let v be x(-110). Which is the closest to v? (a) 3\/8 (b) -5 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 798*r - 3174*r + 798*r + 782*r + 795*r.\nAnswer: -r - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*q + 11 + 14 = 0, -3*q = -3. Let w(b) = b**2 - 5*b + 5. Let j be w(a). Let i be j*(-1 - -2 - -4). Solve -i*t = -2 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = 11. Suppose -2 - s = -2*n. Suppose 3*c + 35 = n*c - o, -c - 2*o + 21 = 0. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 - 2*n**2 + 2. Let g(z) = z**3 + z**2 + 1. Let h(x) = -3*g(x) + u(x). Let f(b) = 6*b**3 + 4*b**2 + 1. Give -5*f(p) - 4*h(p).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2717?\nAnswer: -2714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3710, -3831, -3950, -4067?\n\"Answer: a**2 - 124*a - 3587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 30 = 4*k - 19, -95 = -5*p - 4*k. Solve -4*a - p + 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 2*b - 2, 2*j = -2*b + 12. What is the second derivative of w + j*w - w - 5*w + 3*w**3 wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20368)\/40)\/(28\/(-70)) is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117583 + -9171335\/78. Find the common denominator of -5\/2 and w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.62 + -10.58. Let o = 11.3 + z. Which is the nearest to o? (a) 4\/7 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1032\/(-860))\/((-18)\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2119, 9587, 29847, 69295, 134327?\n\"Answer: 1066*r**3 + 6*r + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94689 is divided by 739.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426697845 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**2 + 30*w**2 + 17*w**2 + (-w - 3*w - w)*(0*w - w + 0*w) to the form t*w**2 + v*w + l and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 51722580023?\nAnswer: -51722580022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 106. What is t(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:48 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22820 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + (260 - 254)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109981305919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457965911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g + 11. Let j be x(0). Suppose 8*q = 2*q + 996. Suppose -2*s + q = -10. What is the highest common factor of j and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/60*1\/(3\/(-666)). Let a(l) = 256*l + 256*l - n*l. Let w(d) be the first derivative of -2*d**3\/3 + 1. Determine a(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*d = 14, 0 - 2 = -5*q - 4*d. Let k(o) = 85*o + 121. Let a(y) = 17*y + 24. Let u(m) = q*k(m) + 11*a(m). Is u(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152019 + -152018. Let m = -18 - -13. Which is the closest to -2\/5? (a) -0.1 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 - b**4 + 5*b**4 - 2*b**4 - 2*b**4 + 3*b**4 + (b**2 + b - b)*(2*b**2 + 2*b**2 - 6*b**2) - 2*b**4 + b**2 - b**2 + 0*b**3 - b**4 + 0*b**3 - b**2.\nAnswer: -7*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -14 - 19. Suppose y*j = 35 + 9. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3151*f + 36 = -3157*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*c + 110479, 310*c - 315*c = 4*a - 88385. List the prime factors of a.\nAnswer: 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let i(c) = 32*c. Let d(y) = -2 - 11*y + 2. Let f(k) = k**2 + 8*k - 25. Let u be f(-11). Let r(p) = u*d(p) + 3*i(p). Give g(r(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let q(h) = -h**3 + 5*h**2 + 7*h - 3. Let t be q(6). Let c(f) = -f - 5*f + 0*f. Let z(m) = -7*m. Let w(l) = t*c(l) - 2*z(l). Calculate r(w(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -142*j - 2. Let s(o) = 142*o + 2. Give -3*s(y) - 4*v(y).\nAnswer: 142*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**2 + 2*m**3 + 5 - 4*m**3 + 3*m**3. Let n be c(7). Suppose 2 - 12 = -5*y. Solve -n*j = -3*a + 25, -y*j + a + 2 = 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2197 by -13.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let x(n) be the first derivative of n**4\/2 - 2*n**3\/3 - 2*n + 2. What is the least common multiple of x(i) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100204 + 33?\nAnswer: 100242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -846.2 times 0.2219\nAnswer: -187.77178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-132)*16\/(-14). Let c = -6\/5 - -8\/5. Let p be 8\/(-6) + (-2)\/3. What is the nearest to c in p, h, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavv when four letters picked without replacement from gvvgqkqkakvkqqqakgqk?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16597487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, 47, 208, 415, 632, 823, 952?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 6\/(-195)*5 + (-310)\/(-494).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3416552 and 103\/10249656?\nAnswer: 10249656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 5718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p + 12. Suppose -15 = -3*g, 4*g = -p*b + 2*g + 32. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 + -7)*(-13 + 17 + -5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17743, 17736, 17729, 17722?\nAnswer: 17715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136\/5 - -27. Let w be ((-1)\/(-2) - 1)*-2. Is o greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 103*k**3 + 8*k**3 - 1 + 48*k**3 - 2 - 6*k**2.\nAnswer: -47*k**3 - 8*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5913720.\nAnswer: 2, 3, 5, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5228*v + 193437. What is y(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offfffffof. Give prob of sequence offo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 3*j + 2*j + (4*j + j - 2*j)*(-11 + 8 + 5) + 2 - 2*j + 0*j - j.\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1441 * -23562.\nAnswer: 33952842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/101728816 and -111\/11079376.\nAnswer: 1119016976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5077 rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13778, -27559, -41340?\nAnswer: -55121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(171)*4.\nAnswer: 5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2\/3*s**4 + 2\/9*s**5 + 0*s + 0 + 0*s**2 + 4\/9*s**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 4. Let r be (-3 - (0 - 2)) + o. Let d(a) = -1 + 2 + 9*a - r - 1. Calculate d(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -9)\/(-1*(-18)\/(-12)). Let y = -13 - -18. Solve 0 = 4*i + 5*z + 36, y*z = h*i + 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 651, 1485, 2661, 4179, 6039, 8241?\nAnswer: 10785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -78, -117, -156, -195?\n\"Answer: -39*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/12 - 2\/6. Let i(o) = t*o + 7*o**2 + 4 - 1 - 1 + 1. Let v(u) = u**2 + u + 1. Give i(f) - 5*v(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*l + 9644963 - 9635558 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4\/7 (c) 3\/4 (d) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + 727*x**2 + 9*x**3 - 625*x**2.\nAnswer: 3*x**3 + 102*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0\/(1 - -1). Let k be (-8)\/10*(s + -2). Let d(m) be the third derivative of m**5\/60 - m**4\/12 - m**3\/3 - 3*m**2. Give d(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17014 * 16.\nAnswer: -272224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1270 (base 8) to base 6\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1616593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -221 - 175. Suppose -4*b = -4*n - u, b = 6*b - 3*n - 175. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g - 4. Let d be v(-3). Suppose -5*y = -6*y. Let u be 2 + (-3)\/2 + -1. Which is the nearest to u? (a) y (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 17*l - 66. Let b be g(8). Let v(t) = t**3 - 3*t**2 - 17*t - 3. Let p be v(b). Solve -8*f = -p*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k**2 + 25*k**2 - 97 - 8*k**2 to the form m*k + w*k**2 + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.8328\nAnswer: -14.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-218)\/10*5\/(-6) - 1990\/(-2388)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/2 - 9250\/(-550). Let r = 2\/2765 + -1124\/24885. Sort 4, -1\/9, r, q.\nAnswer: q, -1\/9, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-270)\/(-325))\/(-9))\/((-186)\/(-620))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.5 (c) 0.2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-4)\/((-2)\/(4 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/21 + 542*n**4\/21 + 25010*n**3\/21 - 1630*n**2\/21 - 10876*n\/3 - 50032\/21 = 0. Calculate n.\nAnswer: -212, -59, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465.03 + -465. Which is the second smallest value? (a) -2\/7 (b) n (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9180 and 6256?\nAnswer: 844560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0539 + 2792.5461. Let h = q + -2851.567. Let m = 59 + h. What is m rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3154000 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396))*3.\nAnswer: -6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 224, 217, 208, 197, 184, 169?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232194 is divided by 6531.\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.7? (a) -2\/9 (b) 5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.80108 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -7 - (-9 + (6 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277362342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 6 + 4. Let l be s + 1 - (-3 - 0). Let k = 849016 + -849011. Solve -l*c + c = k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 31*q + 25*q - 5 + 27*q - 81*q - 2*q**4 in the form m*q**2 + k*q**4 + o*q + x*q**3 + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*f**2 + 17 - 27 + 3 + 7 + 364*f**2.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = 20*m - 100, 15211*c + 3*m = 15216*c + 47 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p**2 + 13*p**2 - 2*p**3 + p**3 + 5 + p. Let o be (-2)\/(-7) + 88\/(-14). Does 28 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2125952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 3. Suppose 0 = 2*w - 4 - 2. Suppose -u - w*u - 3*o = -37, -4*u = -4*o - 72. Solve 5*a - 3 = -z*m + u, 18 = 5*a + 4*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 420?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*10.16.\nAnswer: -2.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 10870*k**4 - 1845612*k**3 + 77747648*k**2 + 162964736*k = 0. What is k?\nAnswer: -2, 0, 88, 5261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 5*w - 5*w)*(w**2 - 2*w**3 + 4*w**3 - 3*w**2).\nAnswer: -4*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 71*g + 44*g + 1.\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let y = -4.09 + 0.09. Let l = y - -3. What is the closest to m in -4\/3, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-10))\/((-5)\/(-25)) - -595. Let u = -302 + c. Round u to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52318 and 29896.\nAnswer: 209272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 5. Let p be a(5). Suppose 5*d + 10 = v, -5*v + p*d + d + 2 = 0. Let f(n) = -n**2 + 9. Calculate f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.036, -3, -1\/4?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/132 and 107\/14447316?\nAnswer: 158920476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(4*f - 11*f + 9*f) + 3*f + 0*f - f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n + 395 - 93 = -274. Let v(d) = 18*d**2 + 7*d - 2. Let s(r) = 17*r**2 + 6*r - 1. Determine n*v(t) + 7*s(t).\nAnswer: 11*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/9 - (-2)\/(-9))*225\/5. Suppose -2*g + 4*g - 212 = -4*j, -224 = -4*j + 4*g. Calculate the greatest common divisor of m and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(102)\/(sqrt(6)*1) + -1.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 + 3*y**2 + 4. Let q(r) = -2*r**2 - 3*r**3 - 11 - 10*r**3 - 7*r**2 - r**3. What is 11*f(d) + 4*q(d)?\nAnswer: -d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 = 9. Suppose 4*s - 3*s - 7 = -2*n, -3*n + 15 = i*s. Let f be (-9 + 56\/6)\/(2\/(-216)*-9). Sort f, s, -4 in decreasing order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.66906 to two decimal places.\nAnswer: 6.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84972351 - 0.6.\nAnswer: -84972351.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -919, 5\/8, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3010 + 6058 + 5*n - 3027. Let s(w) = 2*w + 7. Give -11*s(x) + 4*z(x).\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1677082 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f + 7. Let q(r) = -36*r - 27. Let c(k) = 147*k + 110. Let o(n) = 6*c(n) + 25*q(n). Calculate -6*o(l) - 13*z(l).\nAnswer: -9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l - 3*b + 15, 2*l - 3*b = 27. Suppose -x = -l*x + 5. Sort x, -2, 5 in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -5. Suppose -z + 4*y + 4 = -5, d*y = 4*z - 14. Let p be (1 + -1 + z)*0. Sort -3, p, -5 in descending order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14039 by -13.\nAnswer: -14039\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 2961.\nAnswer: -2961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -260*q + 15349. Give j(59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2\/4*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5054 + 0.2054. Suppose 25 = 4*t + t. What is the nearest to -2 in t, 8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v - 198. Let i(l) = -8872*l. Give i(f(q)).\nAnswer: -70976*q + 1756656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5888942.19803 + 5888984. Let m = -41.8 + r. Round m to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 28*r**4 - 86204*r**3 - 197252*r**2 + 209484*r + 73944 = 0.\nAnswer: -3, -2\/7, 1, 3081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + z + (1 + 4 - 2)*(2 - 2 - 3*z))*(-2 + 2 + z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.022 and -0.5?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633\/4424 - 1\/4424. Let y = 2 - 1.8. Put y, 4, x in ascending order.\nAnswer: x, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1134 = -2*f - 3*m, 0 = -4*f + m + 1527. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 - 5*p - 9. Let z be w(-7). Is z at most as big as -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -r - 3*n + 8, -467*r + 466*r + n + 28 = 0 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 48*i**2 - 4*i + 3. Let h(m) = 2*m**2 + m - 1127. Let y be h(-24). What is t(y)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/180 - 247*h**4\/72 + 1024*h**2. Determine x, given that o(x) = 0.\nAnswer: 0, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1739\/9 + -193. Calculate the common denominator of r and -51\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - (6 - 6)) + (4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-2)\/8) - (-54126)\/13485. Let m(j) = j**2 + 2*j - 3. Let f be m(-3). Is f bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y - 4*y)*(-2 + 3 - 2)*(-6*y + 8*y + 3*y)*((0 + 7 + 0)*(-2 - 2 + 2) - 53 + 31 + 61).\nAnswer: -250*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*c)\/(((c\/(c\/c**(-10\/13)))\/c*c)\/c) assuming c is positive.\nAnswer: c**(85\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 24 = 3. Let a = u - -11. Sort a, 1, -1 in descending order.\nAnswer: a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 2588*b**2 - 39784*b + 42368 = 0.\nAnswer: -16, 1, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 95*m + 0 - 207\/2*m**2 + 0*m**5 + 0*m**3 - 1\/4*m**4 + 4\/15*m**6. What is the first derivative of u(c) wrt c?\nAnswer: 32*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -119. What is the smallest common multiple of b and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220981 and 2966307?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 + 1344814.7781.\nAnswer: 1344814.7421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6745182, -6745180, -6745178?\nAnswer: -6745176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13677500 at most as big as 13677498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l + 74. Let b be c(-5). Let o be 96\/18*b\/(-16). Suppose 12 = 3*k, -4*w + 2 = -4*k - 2. Solve w*v - o*v - 5 = m, -4*v = -3*m - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rle when three letters picked without replacement from lgegrlgelglel.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*-7*(-1)\/14.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4504 and 58552.\nAnswer: 58552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (4 - (5 - 8)) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 3*q**8\/112 - q**5\/30 - 7*q**2\/2 - 12. Let k(s) be the second derivative of t(s). What is the third derivative of k(f) wrt f?\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564\/12 + 154\/(-77)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -500518 and 583.\nAnswer: -291801994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -3 - 462. Solve 80*c - 75*c = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/66 - 5\/22. Let u(x) = x**3 - 8*x**2 + 6*x + 7. Let c be u(7). Are c and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -19*r + 7*r - 45, 3*r + 9 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31074037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*s - 288*s + 308*s + 3471 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 7*x**2 - x - 5. Let l be m(1). Let g(b) be the third derivative of 0*b - 1\/8*b**l + 1\/80*b**5 + 0 + 1\/2*b**3 - 2*b**2. Factor g(z).\nAnswer: 3*(z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2201 (base 8) to base 10\nAnswer: -1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358051250 to the power of 1\/2, to the nearest integer?\nAnswer: 91422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*b = -610*b - 288 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)*(-9 - 56637\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 114. Let i = -125 - z. Let p(d) = d**2 - 6*d + 5. Let u be p(4). What is the closest to i in u, 4, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 4, 213*n = 218*n - 4*l + 98 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278*n = -1218*n. Let t be -3*2\/(-3) + -5. Put t, n, -2, -9 in ascending order.\nAnswer: -9, t, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78087 (base 11) to base 2.\nAnswer: -11011101001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124848 - 138681.2. Round l to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 5*y + 2)*(y**2 - 4 + 4) in the form v + u*y**3 + f*y**2 + d*y and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 0 + (sqrt(75) - sqrt(75)*-3) - (sqrt(75) + 1 + sqrt(75) + -4 - (-1*sqrt(75) + sqrt(75))*2)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(88\/(-16) - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53106 - 0.03106. What is the nearest to 2 in y, -0.1, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 + 2*x. Let f(k) be the second derivative of k**6\/360 + k**4\/12 + 5*k**3\/6 + 135*k. Let l(n) be the third derivative of f(n). Give l(a(b)).\nAnswer: 16*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 208\/56 - 2\/(-7). Let h(t) = t - t + t - y. Calculate h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-2516327.\nAnswer: 1006530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-5)*(1 - 6). Suppose -4*t - 4*j = 20, t - 4*j + 9 = -3*j. Let g = -2 - t. Solve -g*o + 2*u + 12 = 0, 3*o + b*u - 4*u - 28 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 10:25 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020010010121011 - 2?\nAnswer: -1020010010121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 1609, 5418, 12831, 25048, 43269?\nAnswer: 68694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1014\/(-68445))\/((-6)\/10).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/37633750 and 137\/3910?\nAnswer: 37633750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 10.4 (b) 4\/3 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a + 44*a - 12*a + 2*a in the form s + g*a and give g.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-225))\/((4\/2)\/12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 9*g**2 + g + 4. Let j be u(-9). What are the prime factors of 359\/8 - 1*j\/40?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0.016, 1\/2, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.7. Suppose 39*y - 102*y = -189. Which is the nearest to 39? (a) 0.3 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, -4, 10 in increasing order.\nAnswer: -17, -4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 4*m + 9. Let d be r(-5). Sort -3, d, -5 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 0*w)*(-5*w + 2*w + 6*w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 200.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000111101101100 + 111?\nAnswer: -110000111101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 2. Let g = -2 + 3. Let y = 3 - g. Calculate the remainder when d(0) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 9*y + 13. Determine j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**2. Let v be (-8 + 2)*1\/((-6)\/87). Let y = 100 - v. Let u(f) = 9*f**2 - y*f**2 + 3*f**2. Calculate x(u(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 7*i**2 + 2*i - 5. Let b be u(5). Let g be 8\/36 + b\/(-27). Let p = g - -40. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let u = -11065\/3192 - -89\/152. Calculate the common denominator of u and 53\/133.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 + 5. Let p(a) = -10*a**2 - 31*a - 28. Let m(v) = p(v) + w(v). Determine m(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4576*j**2 - 1072*j\/9 + 2\/9 = 0 for j.\nAnswer: -1\/36, 1\/572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 7*o - 10. Let z be r(8). Suppose -3*u - 8 = -z. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*98\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*h*o**2*s - c*h*s + 2*c*o**2 + c*o - 2*c - h*o**2*s - 2*h*o + 2*o**2*s wrt o.\nAnswer: 2*c*h*s + 4*c - 2*h*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(56\/10)\/(-2). Suppose 77*n - 7695 = -50*n + 1449. Let b = n + c. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 47\/2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/321 < 931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m - 1. Let z(i) = -i**3 + 3*i**2 - 4*i - 4. Let p(o) = q(o) - z(o). Let r be p(3). Find the common denominator of (21\/6)\/(r\/16) and 17\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931399491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 2*r**2 - 1 + 3 + 46*r to the form n*r + x + o*r**2 and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0094403236 to four dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-5) - 1\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 38*k - 16. Let m be x(10). Let a be -1*m + (-11 - -17). Factor 2\/3*t**2 + a + 8\/3*t.\nAnswer: 2*(t + 1)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21747, 43146, 64545, 85944, 107343, 128742?\nAnswer: 150141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8044863 years in decades?\nAnswer: 0.08044863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*40022630.\nAnswer: 8004526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.8 and -4.1?\nAnswer: -31.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1817422 = 3*o, -21*o - 605806 = -22*o - j. Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6850 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:34 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5920 + -5911. Solve 10*b - k*b + 2*h - 5 = 0, 4*b + 2*h = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 507*f**2\/2 + 39*f\/2 + 3\/8 = 0.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g - 12. Let c be m(-1). What is the tens digit of (56 - c)*(-3 - (-292)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2979869 + 0.298. What is g rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dosoooodobbyoysboosx. Give prob of sequence sx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 8*l + 3. Let s be r(4). Let u(b) be the third derivative of 1\/120*b**5 + 1\/12*b**4 + 0 + 0*b + 1\/3*b**s + b**2. Factor u(o).\nAnswer: (o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 8, 29\/81 in descending order.\nAnswer: 22, 8, 3, 29\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Let y(f) = -f**3 - 19*f**2 - 22*f - 57. Let r be y(-18). Solve v - 5*k = -p*v - r, -5*k = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (7 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 3*x**3 + 1 - 3*x**3 - 5*x + 0*x**3 as s + j*x + k*x**3 + f*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let b(q) = -q**2 + 5*q + 5. Let m(j) = -j**2 - 6*j + 5*j + 6 + 7*j. Let a(o) = -6*b(o) + 5*m(o). Calculate r(a(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.76 + 0.76. Suppose 5*f - 4*h - 36 = 0, 0*f - 4*f - 2*h + 8 = 0. Which is the third biggest value? (a) 1\/4 (b) 3 (c) i (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 15*u - 56 + 65 - u**2. Let s be v(9). Solve 4*c + 3*x - 28 = 0, 3*x + s - 4 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 60, 87, 112, 135, 156, 175?\n\"Answer: -r**2 + 32*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 5352140.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1140 - -1140.000799. What is n rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/144 + 7*r**5\/120 - 5*r**4\/24 - 3*r**3 - 200*r**2. Let k(n) be the second derivative of s(n). Give k(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*a + 16 = 0, -m - 13 = 4*a + a. Let l be m\/(-4) - 14\/4. Let n(c) = -c - 2. Let s(j) = 5*j + 10. Let i(r) = 33*n(r) + 6*s(r). Determine i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {q: 4, g: 1, i: 3, d: 3, o: 3, a: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 48152191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 16. Let v = -12 - -9. Let d be (2 + -4)*1 - v. Solve -a*h + 7 = -d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 4*b - 15, -3*b = 3*m - 15. Let w = m - 4. Let j = w - -23. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.95 - 0.05. Let t = g + 20. Let u = 2.7 + -3. Which is the nearest to 0.2? (a) t (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04831 and -4.\nAnswer: 0.19324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + -21. Let p = 278 + u. Suppose 4*o + 2*c + 2*c - p = 0, 0 = 3*o + c - 166. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2928\nAnswer: -585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12220 (base 3) in base 10?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 75. Suppose 6*g + 10 = -14. Let p = u - g. What is the greatest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5166 + -56?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + 3*f**2 - 5*f**2 + (-28*f + 4*f + 4*f)*(9*f + 12*f - 18*f) to h*f**2 + o*f + b and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 204*n**2 - 8812*n - 1143. What is u(-142)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 1557859?\nAnswer: 1557863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 505. Let z be -1 + j + 1 + -2. Let i = z + -64. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 68 = -322. Let t = f + -1361\/7. Let q = -1 + 0.8. Which is the nearest to 0.2? (a) 0 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515601639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s - 2*s**2 - 34*s + 1 + 10823*s**4 - 10824*s**4 - 5*s**3 in the form j*s**4 + w*s**3 + t*s**2 + v + f*s and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2\/3 (b) -14 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5458000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16 + 2\/(-8). Let p(s) be the second derivative of 1\/18*s**4 + 1\/30*s**5 + o*s**3 + 2*s + 0*s**2 + 0. Let p(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 - 144.8. Let c = 6 + -10. Let a = 63 - 187\/3. Put a, c, f in decreasing order.\nAnswer: a, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 37 = n, 3*n + 5*w = 57 + 40. Solve 20 = n*c - 38 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*q - 5 + 13, 3*d + 4 = -2*q. Let m(b) = 7*b**2 + 7*b + 4. Let a(p) = -13*p + 10 - 8 - 13*p**2 - 10. Let f(j) = 6*a(j) + 11*m(j). Give f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 356. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 0*g + 26*g.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (-61 + 79 - -16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (1 + (sqrt(17) - sqrt(102)\/sqrt(6))) - (3*(2 + sqrt(17)))**2) + 5 + sqrt(833)*-3 + 3.\nAnswer: -56*sqrt(17) - 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 10, -3*s - 2*s = 5*q - 160. What is the greatest common divisor of q and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 441715356 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143565 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -17\/4 (c) 7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 - 490\/63)*(-4 - 24325\/(-6076)) and -107\/98?\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:20 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 25*v - 20. Suppose 5*g = 2*h - 4*h - 15, 4*g - 5 = -v*h. Calculate the highest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253747 divided by -13?\nAnswer: -19519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001780099 rounded to 6 decimal places?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/36 and 77\/(-22)*1\/(-14) - (-1326)\/(-6672).\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.402 micrograms to milligrams.\nAnswer: 0.518402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422717 - 422717 + 318*g.\nAnswer: 318*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*n = -g, 0 = -3*g - 5*n - 10. Let x = -2 - g. Solve x + 2 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28199 - g + 0*g - 28494 in the form b + y*g and give b.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 79480833*t - 79480833*t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.54+6.86\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 328541387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 97.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 835, 1665, 2491, 3313, 4131, 4945?\nAnswer: 5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 23*z - 5. What is r(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725777 - 2830211 = -18*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k**(2\/3)*k*k\/k**(-4)*k*k*(k**3\/k*k)\/k)**(3\/2))**(1\/67) assuming k is positive.\nAnswer: k**(7\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 478279475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16866649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392707.\nAnswer: 7, 56101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 + 2*d - 12. Let s be l(8). Suppose 50 = s*m + 5*w, 6 = 5*w - 2*w. What are the prime factors of 90\/12*12\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 13*w**3\/6 - w**2 + w - 17. Let l(n) = 2*n. Give g(l(y)).\nAnswer: 26*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22358, 89342, 200982, 357278, 558230, 803838, 1094102?\n\"Answer: 22328*t**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/22*(-2)\/(-3). Let w = -14 + 4. Let s be w\/6 - (-5 + 3). Which is the nearest to s? (a) d (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -2*u, -11*k + 6 = 5*u - 7*k. Let n be (u\/4)\/((-14)\/(-8) - 2). Solve 0*x + x - n*i = 4, 0 = -3*x - 3*i - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3596 + -0.3596. Which is the closest to -1? (a) 4\/5 (b) l (c) -0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + 1 + sqrt(1700) + (-5 + (sqrt(1700) + -4 - sqrt(1700) - sqrt(1700)))**2.\nAnswer: 190*sqrt(17) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 1239451907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152340818592068 + -7.\nAnswer: -152340818592075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + c**3 - 2*c**2 + 3*c - 1. Let v be b(1). Solve -v*m + 3 = 0, s = 5*s + 2*m - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9510*i + 16872*i + 15293*i + 7876*i.\nAnswer: 30531*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.202775 millennia?\nAnswer: 4202.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + -620?\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 4. Let x be p(-8). Let f(g) = 18*g + 41. Let k be f(-2). What is the tens digit of x\/9*((k - 3) + -74)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.57, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 71, 4, 1, -3, -2 in ascending order.\nAnswer: -3, -2, 1, 4, 31, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152695?\nAnswer: 5, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 360757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 + 42*k**2 + 4*k + 120. What is z(-9)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q + 8. Suppose 5*n + d - 30 = -0*d, 2*d + 10 = 0. Calculate the remainder when 21 is divided by v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zntzcdzdzbbbz. What is prob of sequence dczd?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (1 + 0 + -107 + 108 - 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/164 - 29925\/92250?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-17)\/765 + (-34)\/84.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27025*r - 81032. Calculate w(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1908 + -7687\/4. Let o(m) = m - 5. Let d be o(5). What is the common denominator of w and -1 + (d - (3 + 40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fc9 (base 16) to base 2.\nAnswer: -111111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*g, -3*g + 82*f - 81*f = -5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190707\/(-44)*(-32)\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 - 4. Let k = -0.7 - s. Let y = k - -4.6. Which is the nearest to 0.1? (a) -4 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**3 - 7*f**2 - f + 6. Let r be m(3). Does 5 divide r\/4 - (-5)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - -5 - (-28)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44542219909 + 2.94.\nAnswer: 44542219911.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*r + 66, -194*w + 197*w + 2*r = 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37151 + 53424. Is 57 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 320*x**3 - 2*x**2 - 8*x. Let u be b(6). Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287928559*u**3*x - 133*u**2*x - 4*u**2 + 36*u*x + 408*x - 2 wrt u.\nAnswer: -1727571354*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 + -221.71. Let n = v - 0.29. Which is the closest to n? (a) -0.5 (b) 8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (-1 + -39 - -25).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255665315 divided by 5.\nAnswer: 51133063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11970*x - 559 = -11983*x for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - 6 - (-25 + -1). Let c be (14\/(-49))\/(((-12)\/r)\/3). Sort c, 1, -2 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 706, -5, -1 in ascending order.\nAnswer: -5, -1, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 46. Suppose -5*a - 2*o = -3*a - z, 5*o + 16 = 3*a. Calculate the remainder when 23 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-1)\/(2\/(-6)). Let a = w + -4. Is -3 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43424099 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: Expand (x - x - x)*(1 - 3 - 2*x + x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 29*f**6\/3 + 2*f**3\/3 + f**2\/2 + 105*f - 131. What is the second derivative of u(i) wrt i?\nAnswer: 1160*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4152753 by 2.\nAnswer: -4152753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.2 (b) 108542 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (20 + -11 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 810. What is p(3)?\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 1959*b**2 - 374919*b - 17725016.\nAnswer: (b - 8024)*(b + 94)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 170. Let l = -68.8 + r. Let n be (-9)\/63*2\/3. Put 0.5, l, n, 0.4 in descending order.\nAnswer: 0.5, 0.4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 934836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 3:15 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4002 or 4001?\nAnswer: 4001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -230?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -7\/3, 2.\nAnswer: -9, -7\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 697637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -7*p**4\/5 - 64*p**3\/15 - 8*p**2\/5 - 49. Let d(x) = 0. Calculate x.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 27 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62\/77 + -3431\/616. Let z(l) = l - 4. Let t be z(7). Calculate the common denominator of m and (6\/24)\/(t\/62).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5438 = -5*p + i - 7766, -5*p + 5*i = 13220. Is 2\/(-1 - p\/2636) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -25.29.\nAnswer: -17.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/14)\/(6\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*y + 4*y + 7*y)*(-2 + 0 - 1) + 170*y - 377*y + 415*y in the form f + o*y and give o.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 12 = 2*r, 0 = -4*n - 11 - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 - (5 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 54. Let i = -5 + a. Solve 0 = -4*s - 6 + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33962, -2, 0 in decreasing order.\nAnswer: 33962, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 419569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - -0.0908.\nAnswer: 32.0908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 34*f**2 - 25*f - 45. Let v be a(-8). Suppose -38*w + 47*w = v. What is the least common multiple of w and 9?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t = -51*t + 86. Let p = 43 + t. Suppose -3*c - 2 = -o, p = 5*c - 3*o + 3 + 3. Solve c*m + 4 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + (-18)\/5. Let v be (-249)\/x - 2\/8. Suppose -v = -3*m + 2*h, 3*m - 3*h = 2*m + 16. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let x(s) be the first derivative of -s**3 + 67*s**2\/2 - 133. What is n(x(w))?\nAnswer: 18*w**4 - 804*w**3 + 8978*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let v = 9 + -6. Let j(w) = 14*w. Suppose 38 = -5*f - 2*m, 0*m = -4*f - 2*m - 30. Let o(x) = 5*x. Let q(r) = f*o(r) + v*j(r). Determine h(q(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1.354.\nAnswer: -0.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278774 is divided by 1291?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 0.1, 113?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**2*v + 2*q**2*y**3 + 3*q**2*y - 691922*q*v*y**3 + 152*q*v*y - q*v + q*y - 2*v*y**4 - 4*y**2 wrt y.\nAnswer: 12*q**2 - 4151532*q*v - 48*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006959 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Solve -v = -3*q - j, -q - 7 = -3*v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76\/5 or -33?\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = 6. Suppose -b*f + 11 = -9. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/4812793 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(1088) - (sqrt(1088) + ((sqrt(1088) + 2)*-3)**2)) + (-1 + sqrt(1088) + sqrt(1088))*-2 + 0.\nAnswer: -9820 - 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/520*504\/(-4347).\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 8 + 15\/11*p**4 + 70\/33*p**3 + 16\/55*p**5 + 15\/11*p**2 + 4\/11*p. Find r, given that n(r) = 0.\nAnswer: -2, -1, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 4*g**2 + 4. Determine o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/293 (b) -0.3 (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 3176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/704*-48 - -1*(-457)\/(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/5 - 162*n\/5.\nAnswer: 6*n*(n - 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10024 + -3796. Let i = -5374765\/863 + n. Let p = -55235\/2589 - i. Calculate the common denominator of p and -137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6961*y**2 + 1 + 2*y - 2*y - 13*y**3 + 6971*y**2 as r*y**2 + i*y + z*y**3 + j and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637320160 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 1)*(n + 5*n - 3*n)*(1 + 3 + 4) - 8 + 3 + 6 + 5*n.\nAnswer: 125*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21965121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**2 + 0*c + 0 + 0*c**3 - 3\/8*c**4 - 1\/5*c**5. Let k = 126 - 117. Let y(t) = -t**2 - t. What is k*y(z) - x(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(8\/7))\/(l\/(l\/(l**(-1\/5)*l))))\/((l\/(l*l**(4\/11)))\/l**(-13)) assuming l is positive.\nAnswer: l**(-5228\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) 0 (c) 0.35 (d) 3\/4 (e) 0.03 (f) 2\/9 (g) 651\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = -2. Is 33\/(-18) - k - 3415\/(-30) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26641608659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/110)\/(1\/(8\/(-6))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 918.8 + -918.094. Let s = -0.4 - 0.36. Let t = s + x. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8167741, -8167742, -8167743, -8167744, -8167745?\n\"Answer: -k - 8167740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20425 - 5795 = -4*g + 3*d, -3*d = -5*g + 32778. Let m = g + -31886\/5. Let y = -180 + m. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (5 - 10) - 160\/(-20). Suppose -5\/3 - 4*a**v + 14\/3*a + 2\/3*a**3 + 1\/3*a**4 = 0. Calculate a.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:37 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 + 12*f**5 + 5932*f**3 - 5*f**2 + 624*f + 42?\nAnswer: -120*f**3 + 720*f**2 + 35592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + 84 + -85 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 2\/7, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l - 9. Let f(z) = 4*z + 1. Let h be f(-2). Let j be u(h). Let o = 37 - j. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let k(h) be the second derivative of 1\/4*h**4 + h + 0 + 0*h**2 + 0*h**3. Calculate k(o(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - 8. Let t = 1 - j. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272236 rounded to 4 dps?\nAnswer: 0.2722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30711.\nAnswer: 3, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let g(h) be the first derivative of 7*h**2\/2 - 3*h + 1. Let a(i) = 5*f(i) - g(i). What is the first derivative of a(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, -4297 in descending order.\nAnswer: 17, -3, -4297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24.3 and 2355.\nAnswer: 2379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((sqrt(12) - (-5*sqrt(12) + sqrt(12)))*6)*-1*2*4.\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**(-24)*c)\/c)\/c**(1\/2) assuming c is positive.\nAnswer: c**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -47 - (-3 - -4). Suppose -54*o + 38 = g - 57*o, 0 = -5*g - o + 174. Solve 3*j + x = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 - (8 - (12 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -69, -10, -192 in increasing order.\nAnswer: -192, -69, -10, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 5, 193 in decreasing order.\nAnswer: 193, 5, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9251 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from jdjdxxdkxlllkkdxxj?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11129 at most as big as -162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 - 6*h - 17. Let r be a(5). Suppose -k + 9 = f, 3*f - 2*k + r = 5. Solve -p = -l - f, 6*p - 3*p + 4 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252706787?\nAnswer: 252706787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 193, 5 in increasing order.\nAnswer: -6, 5, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129598567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 2325\/1300*13?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/12 + (-1)\/(-4). Put a, -4\/9, 11 in decreasing order.\nAnswer: 11, a, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7132 and 3566?\nAnswer: 7132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173\/91 - 21\/13. Put 10, w, -0.4 in decreasing order.\nAnswer: 10, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 + 2*y + 3. Let r be t(-2). Let p be -2 + (2482\/22 - r). Let f = -12553\/110 + p. What is the common denominator of 43\/4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201330 (base 6) to base 12\nAnswer: 30246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j*u*v - 7590*j*u - 3*j*v - 917*j + 2*v wrt u.\nAnswer: -5*j*v - 7590*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 24 + 26 = 5*v + 55, 5 = 5*z + 3*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l. Suppose 4*q + 15 + 1 = 0, -3*p + 3*q + 57 = l. Solve -p = 5*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3605 - -1214312?\nAnswer: 1210404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 26 and 2595.07.\nAnswer: 2621.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 696*s**3 + s**2 + 3*s - 3. Is y(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 19*o**2 + 16*o - 58. Let j be l(-17). Let n be j\/16 - 3\/2. Solve -4 + 18 = 5*p + 3*h, n = 3*p - h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5919 is divided by 982.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v*v*v*v\/(v**(-1)*v)*v)\/((v**(-1\/4)\/v)\/v*v**0\/v)*(v**(2\/25)\/(((v*v*(v\/v**(4\/5))\/v)\/v)\/v))**25 assuming v is positive.\nAnswer: v**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274448*m**3 - 95570*m - 1 wrt m?\nAnswer: 1646688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77025*h - 104915 with respect to h.\nAnswer: 77025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 8*t**2 - 24*t**2 - 2.\nAnswer: -36*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5098 (b) -5 (c) 10\/9 (d) -1187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*j - 4*j - 3, h + 20 = 2*j. Suppose j = -k + 5*t, -4*k + 0*k - 2*t = -8. Suppose q + k = 11. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 321032133?\nAnswer: 321032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 73 - 26*a**3 - 2*a**3 - 72.\nAnswer: -13*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 64*q**2 + 201*q + 32169. Give y(-68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 6. Suppose -l*m = -5*d + 370, -5*m + 2*m - 64 = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -858*d - 88. Let v(s) = 49*s - 1 + 4 + 2. Let a be (0 + 3 + -4)*(2 - -3). Let f(l) = a*h(l) - 88*v(l). Let u(z) = z. Determine f(u(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386204 is divided by 386031?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*d + 7, -3*d + d = -2*g. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -38*s + 7*s**2 + 32 - 36*s + s**3 - 34*s + 99*s + 3*s**2. Determine o(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16116 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/17 less than -4853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009213363 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w, -4*w - 72 = -2*p - 5*w. Calculate the highest common divisor of 216 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**3 + 25*o**3 + 92*o**3.\nAnswer: 85*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/7663329 and -133\/3996.\nAnswer: 30653316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 32066?\nAnswer: 32057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.713 + 0.067. Let x = l + -4.78. What is the closest to -2\/5 in 1, -16, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkrnvknrnkxck. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 2*m**2 - 3*m - 1. Give i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/12 - z**4\/2 - 31*z**3\/6 + 2*z**2 + 10. List the prime factors of j(-6).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 44, -6, 3\/2, 7\/6, 5?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 4927?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 28. Suppose n - 17 = -o. Solve o = 2*h + 4*j, -h - j + 1 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -611*n**4 + 70*n**3 + 1222*n**4 - 606*n**4 + (0*n**2 - n**3 + 0*n**2)*(-2*n + 0 + 0).\nAnswer: 7*n**4 + 70*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, t: 2, n: 2}. Give prob of picking 1 n and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1344 + 1319. What is the second biggest value in 0.3, p, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296100 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 0 = -3*n + 4*y, -2*n + y - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1978 = -9*c - 538. Let b = c - 150. Calculate the remainder when 76 - (-2 - (1 + -2)) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**3 + 15*q**3 - 24*q**2 + 38*q**2 - q + 5 - 10*q**3 + 14*q**2 in the form z*q**3 + r*q + p*q**2 + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/5))\/l**1)\/(l\/l**(3\/8)*l**1) assuming l is positive.\nAnswer: l**(-81\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**2 - 1\/12*a**4 - 1\/12*a**5 + 0*a - 1\/120*a**6 + 0 + 1\/6*a**3. What is b(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 12*h + 2 + 11*h + (-3 + 2*h + 3)*(0 + 0 - 2).\nAnswer: -5*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*x + 5000 - 24285 = -1437*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1665*i**5 - 7*i**4 - 2*i**3 - 60*i**2 - 456*i wrt i.\nAnswer: -99900*i**2 - 168*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2006, 4014, 6018, 8012, 9990?\n\"Answer: -f**3 + 4*f**2 + 2003*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 14*j**2 + 18*j + 10. Calculate z(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 1816, 6202, 14762, 28888?\nAnswer: 49972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31945*j**2*p**2 + 1098*j*p**2 + 11*p**2 wrt j?\nAnswer: -63890*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmwmsswwmsswwmm. What is prob of sequence ms?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/105 - p**5\/15 - p**4\/6 - 4*p**3\/21 - 3*p**2 + 20*p. Factor g(k).\nAnswer: -4*(k + 1)*(k + 2)*(2*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0 + 0)\/(-2). Let k(g) = -g - 5. Determine k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 9. Let l be o(8). Let a = 2 - l. Suppose d + y - 39 = a*y, 20 = -5*y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 46, 93, 156?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = 50. Let l = 57 - 30. Calculate the remainder when l is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -47*i**4\/2 - 2*i**3\/3 - 9*i**2\/2 - 8*i - 291. Find the second derivative of y(s) wrt s.\nAnswer: -564*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 46 = -5*a. Suppose h + 9 = 4*k, -4*h - k + 16 = -33. What is the derivative of -1 + 14*r + 1 - h - a wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273916308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 at least as big as 500\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 37.5. Let l = 2.6 - i. What is the smallest value in -4\/9, l, 1\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-684)*(-1)\/(-2). Suppose 2 + 1 = -3*t. Is t bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 + -424. Sort w, -0.5, 7, 0.\nAnswer: w, -0.5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d**2 + 2. Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 1. Let k be v(4). Let a = 3 + k. Suppose 2*p - a = 56. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - -29. Calculate the highest common divisor of i and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-7)*3\/((-12)\/(-28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(3\/17)*w*w*w**12*w*w*w\/(w*(w*w*(w\/(w**11\/w))\/w)\/w)*(w*w**(-17))\/w assuming w is positive.\nAnswer: w**(156\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 221 = -1309. Solve r*b - 87*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/3 + 907226*m**2\/3 - 9072092*m\/3 + 4838432 = 0. Calculate m.\nAnswer: 2, 8, 453603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.065823 and 0.3.\nAnswer: 0.0197469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 272*i**3 + 19*i**2 + 4*i - 5. Is s(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11493 is divided by 1317?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -8*s + s. What is the remainder when 42 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, i: 14}. Give prob of sequence ui.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 90*g**2 - 1 + 213*g**2 + 435*g**2 - 193*g**2 as z*g**2 + h*g + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2317, -9263, -20841, -37051, -57893, -83367?\nAnswer: -113473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 405, 406, 407, 408, 409?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23578887 and 909657?\nAnswer: 1485469881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 16 = 7*m. Let n be m\/18 - (-32)\/18. What is the third derivative of -l**2 + 0*l**2 - n*l**4 + 0*l**4 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3840 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1872) + -2 + 2 + (sqrt(1872) - (4 + sqrt(1872)*2)))**2 + -4 + (sqrt(1872) + 1)*5 + -4.\nAnswer: 16 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 (base 4) in base 3?\nAnswer: 22211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185486843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 670944 greater than or equal to 670941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6*i = 366. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z + 3*t, 2*z + 5*t + 11 = 4*z. Does 19 divide (z - -21)*(-1 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -16 + (-3)\/((-15)\/(-20)). Let t(i) = i**3 + 20*i**2 + 1. Let o be t(d). Solve -o - 5 = 3*z - 4*p, -2*z = -3*p + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.8. Let y be (-2)\/12 + 35\/(-168). What is the biggest value in w, y, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**3 - 3*l**2 + l - 13. What is the hundreds digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 0 - 1) + 2 - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21205 and 4499701?\nAnswer: 22498505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83.04 - 0.96. Let z = -93 - k. Put -3\/4, z, -6, -1\/3 in increasing order.\nAnswer: z, -6, -3\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/2 + 1931*o**2\/2 + 26612*o - 57090 = 0.\nAnswer: -1903, -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(19) + sqrt(19))*4.\nAnswer: 4 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, -3218, -2, 0, 5 in descending order.\nAnswer: 5, 0, -2, -5, -29, -3218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174929851697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 21 = -0*h. Solve h*n + 0*n = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + t)*(-3*t + 6*t + 2*t)*(-2*t + 4*t + 0*t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22109 or 22101?\nAnswer: 22101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + h**3 + 3*h**3)*(9*h - 12 + 12) + (2*h**3 + 0*h**3 - h**3)*(h + 3 - 3).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*a**2*g**3 - 2064329*a**2*g**2 - 95*a*g**3 + 22*g**3 wrt g?\nAnswer: -372*a**2 - 570*a + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 45, 1, -0.5, 3\/2.\nAnswer: -0.5, 0.01, 1, 3\/2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 6, z: 2, r: 1, a: 5, e: 1, k: 5}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/((-2)\/(-4)) + 91. What is the second derivative of -10*g + 24*g - 112*g - 45*g - v*g**2 wrt g?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 985 = 170*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 25\/3*h**3 + 24\/7*h**7 + 0*h**6 + 0*h - 10 + 0*h**5 + 0*h**2 + 0*h**4. What is the third derivative of y(w) wrt w?\nAnswer: 2880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543\/(-84) + (-45)\/(-1890)*-12.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/53 - -147\/212. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5491 - -10983\/2. Which is the nearest to 0.11? (a) 0.4 (b) q (c) 1\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184320.568 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209\/12 + -52\/3. Let f(q) be the third derivative of 0 - 1\/60*q**6 + 0*q**3 + 1\/15*q**5 - h*q**4 + 0*q - q**2. Factor f(r).\nAnswer: -2*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (73 - -1) + 7*(-6)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s - 195. Let h = -31 - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1505 or 1501?\nAnswer: 1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/54 and -95\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 320. What is w(-55)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keq when three letters picked without replacement from {k: 1, s: 5, e: 3, q: 3}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 179*l + 464. Give k(92).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-47040)\/(-35280)*(-459)\/(-42)\nAnswer: 102\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20 + 4*b**3 - 3*b**3 - b**3 + 81*b**4 - 821 wrt b.\nAnswer: 324*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-36 + 5 - -11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 5*x - 131 + 157, -3*x - 20 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/63 and 101\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/220 and 63\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16340\/9999 + 2\/909. What is the common denominator of -22\/17 and c?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.592361118 to four decimal places.\nAnswer: -0.5924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401 or 386?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (19 - ((-19 - -35) + -18))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:24 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -13. Let j be -3 - -1*p\/12. Let t = -1.38 - -0.38. Which is the closest to t? (a) j (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 2148343?\nAnswer: -88082063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.0723 - 0.0973. Let r = g + 0.025. Let h = -0.1 - 2.9. What is the third biggest value in r, h, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 0.7, -0.4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 2974 + 5*q - 5*q + 2974.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 72\/(-96) + (-102)\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8958 - -15445. Suppose 56*u = l - 57615. Round u to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16082325*y - 143325. Let c(q) = 1571*q + 14. Determine -40950*c(s) - 4*r(s).\nAnswer: -3150*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1134 and 1068.\nAnswer: 201852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1871 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*v - 99 = 0, -3*v - 11 + 32 = d. Calculate the remainder when 46 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 413*d**2*k**3 - 3*d**2*k - 5*d*k**3 + 3443*d*k**2 - 3*k**3 wrt k.\nAnswer: 2478*d**2 - 30*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702, 1415, 2128?\nAnswer: 2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2370*s**2 - 249*s**3 - 733*s**2 + 248*s**3)*(0 - 1 + 0 + 0 - 1 - 1 + (-1 - 1 + 1)*(1 - 3 + 0) + 0 - 4 + 3 - 2 - 2 + 3 - 2 - 2 + 5).\nAnswer: 2*s**3 - 3274*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 15895.25 + -15895. What is the nearest to o in 11, 1\/17, 1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) 1\/3 (c) -2 (d) 0.037 (e) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -19876*t**2 + 594*t + 5. Let q(a) = 89442*a**2 - 2670*a - 22. Let v(c) = -22*g(c) - 5*q(c). What is the second derivative of v(k) wrt k?\nAnswer: -19876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-72)*(-30)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/78307 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + -2*sqrt(847))*-5 - sqrt(847)) + (sqrt(847) - (sqrt(847) + 0)*1))**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.027933925551+0.09\nAnswer: 0.062066074449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from ggoggol.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37292879?\nAnswer: 13, 229, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, k: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-6) + 4\/(-6). Calculate the greatest common divisor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 85.18508km?\nAnswer: 85185.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220 (base 3) to base 15.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + 208\/(-20). Suppose 4*g = 4*w + 56, -g - 40 = 3*w + 22. Let t = f - w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 divided by 2048916?\nAnswer: -44\/512229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194285, 388570, 582855, 777140?\nAnswer: 971425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/120 + d**5\/15 - d**4\/6 + d**3 - 4*d**2. Let o be s(-5). Sort o, -5, -2 in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40337 + 281643\/7. Let z = t - -102. Is z != 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13350, -13358, -13364, -13368, -13370, -13370, -13368?\n\"Answer: p**2 - 11*p - 13340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72900703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -8, -2, 2, -2\/15, 0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let j(s) = -s**2 + 2. Let i be j(0). Let w(a) = 2*a - 6*a - 2 + i. Give w(r(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 8)*(3 + 3*w + 3 - 1).\nAnswer: 15*w + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3639036133?\nAnswer: 17, 6481, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/11, 0.04, 2\/9, -5, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -3. Suppose 2*l - j - 9 = l, 0 = 3*l + 5*j - x. Let o = 0 + l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:16 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*r*z**3 + 4604259*k**2*r*z**2 + 34*k**2*r*z - 15403*k**2*r + 3*r wrt z?\nAnswer: 12*k**2*r*z + 9208518*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254162659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Let g = 4 + -4. Let i = 0.1 - g. Which is the nearest to -1? (a) i (b) -2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(16)\/(-3*sqrt(648) + sqrt(648)).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -7598748?\nAnswer: 7598743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*1)\/(sqrt(168)\/sqrt(6)) + 2.\nAnswer: -3*sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-270)\/(-14) + 4 + 4\/(-14) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335758026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20043487691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:24 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 206 = -2*x, -6 = -y - 5*x + 32. Do 56 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101011000 (base 2) in base 8?\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 65 in increasing order.\nAnswer: 5, 6, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 71. Let d = 34 - q. Let f(h) = -24*h - 11. What is the hundreds digit of f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-6)\/216). Let h be 644\/o + (-4)\/(-18). Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*n - 234*n - 4*n**3 - 2*n**3 - 6*n**3 + 213*n to c*n**3 + o*n**2 + r*n + f and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015396.\nAnswer: 2, 97, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-2477)\/(-11) - 40\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**5*h*h)\/h*h\/(h\/((((h*h\/h**(-1))\/h)\/h)\/h)*h))**(2\/59) assuming h is positive.\nAnswer: h**(12\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -59. Let t be -339*-3*3\/q. Suppose -f = -5*f - 5*i + t, -2*f - 3*i = -59. Calculate the highest common divisor of 110 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221061 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2079790619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6097.191 + -6099. What is c rounded to two decimal places?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*a - 547*a + 480*a.\nAnswer: 1270*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 0, -4*s + 38 + 18 = 2*t. Let c = 31 - 18. Let n = t - c. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 7 = -2*h, 4*h = r + 7. Solve 4*s - 5*t - 1 = 13, h*t = -2*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1473 and 2.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 289447, 578992, 868537, 1158082?\n\"Answer: 289545*y - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 + 5*j + 8. Let c be l(6). Solve 2*d = d - c*m - 9, 0 = -d - m - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -6*g + 11*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -9*s + 21. What is the highest common factor of 33 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3 - 9*u**2 - 39*u + 45 = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111 - 221 - 32*i**3 + 124 wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2084 and 166199?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -26. Let s be (-18)\/(-4) - 1\/(-2). Let h = s + -2. Put 2, h, q in decreasing order.\nAnswer: h, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*p + 68*p + 245*p - 10200 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i = -9*i. Let v(r) be the first derivative of r**4\/4 + r**3\/3 - 9*r - 2. Give v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 46. What is the smallest common multiple of y and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + -8 - (-2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153 * -516.\nAnswer: -78948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-1)\/36). Suppose -5*w - 15 - i = -3*k, k + 6 = -4*w. Solve 2*t + 4*n = -k, 4*t + 10 = -4*n - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 45 = -8*h. Put 5, h, -1, -4 in decreasing order.\nAnswer: h, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2541) - (sqrt(2541) - (sqrt(2541) - (sqrt(2541) - (sqrt(2541) + 6*1*sqrt(2541))))))\/(sqrt(432)*1 + (sqrt(27)\/sqrt(3))\/sqrt(3)) + -4)**2.\nAnswer: -3080*sqrt(7)\/13 + 221035\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 + 2 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 13*l - 11. Let x be o(-12). Solve -3*m - x = -13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 62\/88897, 0.1, 5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/21 and 9\/25.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-11 + (-183)\/(-18)) - 1985\/(-400)\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56497*b**3*t*u**3 + 3*b**3*t*u**2 - 1415*b**2*t*u**2 - 21*b*t*u**2 - 14*u**3 wrt b.\nAnswer: 338982*t*u**3 + 18*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 + 9*t - 10. Let w be n(8). List the prime factors of (-650)\/w - (35 - 33).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 2, k: 1, c: 1, w: 2}. Give prob of sequence kq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-595)*10)\/(-9 - 7358\/(-819))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2534*-4\nAnswer: -10136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47134179.\nAnswer: 3, 5237131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 221281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/50 + x**4\/30 - 9*x. Suppose a(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5660*i - 28300. Determine j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/(-9)*(-5)\/(250\/(-960)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, 4, -4, 0, -556 in descending order.\nAnswer: 4, 0, -4, -414, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j + 3*t - 1252, j - 4*t = -616. Let z = j + 1305. 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 -93*h**4 - 6*h**3 - 7*h**2 + 617762*h wrt h?\nAnswer: -1116*h**2 - 36*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114729664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(23\/3)\/r*r)**33\/(r**(-25)\/r*r*r*r*r\/(r\/(r\/r**3))))**(5\/11) assuming r is positive.\nAnswer: r**(1555\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26209485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 158\/((-1)\/(-3) - 55\/(-33)). Suppose 4*g + i + 29 = 2*g, 3*g + 26 = 2*i. Let h = a - g. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2224\/352)*8\/(-14)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 79863.96 and 0.4.\nAnswer: 31945.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let m(s) = s. Calculate 2*h(j) - m(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f. Let v(z) = 16*z**2 - 3*z. Suppose 0 = -9*s + 11*s - 6. Let u(n) = s*d(n) - v(n). Let c(g) = -g. What is c(u(x))?\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 1. Let w be y(1). Let p(h) = 2*h**2 + 1. Is 4 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2 - 2*j - 18385*j**3 + 5*j**2 + 18382*j**3 - 4*j**4 = 0?\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.3 (c) 14 (d) 1 (e) -4 (f) 61 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - g - 1142, 0*h - 3*g + 1501 = 4*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*w + 9*w - 25*w - 55*w in the form b + o*w and give o.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - w - 21 - 16, -24*w = -72 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*v + 690, -5*q = -v - 3*q + 344. Suppose 0 = 4*z + 3*i + 13 + 15, -5*i - 4 = -4*z. What is the common denominator of z\/(-6)*(-55)\/v*15 and 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -2*n, -1 = -3*n + n + 5*z. Let a be 1*2*(n + -1). Find c, given that -16\/7*c**a + 12\/7*c**2 - 2\/7*c + 8\/7*c**3 - 2\/7 = 0.\nAnswer: -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1091396, 1091379, 1091362?\nAnswer: 1091345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + s**2 - 11*s + 17. Let l(j) = 3*j**3 - 2*j**2 + 16*j - 25. Let k(y) = 5*l(y) + 7*v(y). What is the units digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -632745 or -4429214\/7?\nAnswer: -632745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Suppose 0 = 3*r + p*z - 19 - 20, -5*r + 115 = -5*z. Suppose 13 = -4*m - o + 33, -2*m = 3*o - 10. What is the remainder when r is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -13*x**4\/12 + x**3\/3 + 2*x**2. Let d be c(-1). Suppose -176 + d = -4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000149979515 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11362?\nAnswer: 2, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5794120602 to the power of 1\/3, to the nearest integer?\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 17 + -10 - (-2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p + 5. Let f(t) = 10*t + 3. Let j(d) = 3*f(d) - 2*r(d). Let i(l) = -l. Give j(i(z)).\nAnswer: -10*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -336\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 179357665.\nAnswer: -71743066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915327?\nAnswer: 1213, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j*(j*j*(j*j**(-1\/4)*j)\/j*j)\/j)\/(j**(1\/4)\/j)**(-1\/30)*(j**(-2)\/j)**50\/((j**(2\/5)\/j)\/j)**(-23\/2) assuming j is positive.\nAnswer: j**(-6947\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 561 (b) 0.04 (c) -1101 (d) 0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 23*d + 3770. Give s(-74).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1747 - 1229. Let z = o - -4963. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o)\/o**6*(o\/(o\/(o**(-2\/5)\/o)))**(-39) assuming o is positive.\nAnswer: o**(278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - (7 + -3 + 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3)\/(285\/(-38)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2. Let s(i) be the second derivative of -i**4\/12 - i**3\/3 - 5*i**2\/2 - i. Calculate -5*a(n) + 2*s(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20019921, 20019914, 20019903, 20019888, 20019869?\n\"Answer: -2*j**2 - j + 20019924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20802 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 2. Let b be z(8). Suppose x = 3*y + 4*x - 12, 4*y = -x + b. Let n be y\/(2 + -6)*0. Let o(r) = r**3 - r**2 - r - 5. Determine o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2. Let v(l) = -10223 - 110*l + 10223. What is v(f(i))?\nAnswer: 660*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, z: 1, v: 1, s: 3, u: 2}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q**3 - 43*q**3 - 50*q**3 + 212*q**3 - 48*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63766988 is divided by 7970873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 102*q**2 + q - 48. Let s be a(51). Sort 229, -2, 1, s in increasing order.\nAnswer: -2, 1, s, 229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:09 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 24*t + 4 = 46*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**7\/147 - 4*w**6\/35 - 3*w**5\/7 - 8*w**4\/21 + w + 119. Determine c so that v(c) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 73*q - 205. What is y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-96)\/(-9))\/(2\/3). Suppose 9 = -y + k. Suppose -2*j + y*p - 2*p + 18 = 0, 3*j + 4*p - 48 = 0. Calculate the greatest common divisor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Suppose 4*u = -y + 19. Solve 4*j = -0*h + 3*h - 31, -u*h = -3*j - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**2 + 315*u - 900 = 0.\nAnswer: 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + a7077?\nAnswer: a7072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -3\/2, -3\/34, -0.2, 0.5414?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 384, 757, 2, -1.\nAnswer: -2, -1, 2, 384, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 273.306 months?\nAnswer: 0.227755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10136 (base 9) to base 7\nAnswer: 25314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100997 is divided by 25238.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i + 0*i**2 + 4\/5*i**5 - 2 + 0*i**3 + 1\/3*i**6 + 1\/2*i**4. Factor c(q).\nAnswer: 2*q**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 276*v - 3674. What is the tens digit of n(59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156485 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d**2*w**2 - 52*d**2*w + d**2 - 159*d*w**2 - 26*d*w wrt d.\nAnswer: 24*w**2 - 104*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*g = -351*g + 19412 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 + h + 11. Let z be o(-9). Calculate the common denominator of -131\/6 and (-24)\/14 - z\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-5) - (-14)\/10)*-5. Let k be (4 - 0)\/j - (-16)\/1. Suppose -3*f + 4*w = -f - 92, -k = -3*w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.2105 and 0.0082282?\nAnswer: 8.2022718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let j = t - 0.1. Let i = -1.865 - -2.865. Is j at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 8750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9663 = 1001*t - 33380 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64317, -64307, -64293, -64275, -64253?\n\"Answer: 2*a**2 + 4*a - 64323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -b - 7*z, 16 = -0*z + 4*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 1, q: 1, u: 1, p: 1, l: 2}. What is prob of sequence kll?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 213*l + 4. Let g be i(-2). Is 25 a factor of 4\/(-6) - (1 + g\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30326989 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u. Let i be b(-3). Suppose -5*o - 4*d + 45 = 0, -5*d = 5*o - 3*o - 35. What is the second derivative of i*h + 3*h**5 - 4*h**o + 2*h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14620 + 14619.999987223. Round o to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 5*r, -13 + 3 = -4*r + 5*x. Suppose -5*n = -r*n - 20. Suppose -n*j + 111 = -j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -47. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2039983\/16 - -127567. Let q = d - 68. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -1 (c) 15 (d) -0.08 (e) -11 (f) -0.03 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, j: 2, p: 1}. Give prob of sequence rj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + -0.08408. Let n = p + -0.24502. Let k = 0.24 + n. Round k to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose o - 66 = -d*a, -2*o - 4*a + 1 = -123. Suppose -2*v = -2*z - o, 4*z + 125 = 5*v + z. Calculate the greatest common divisor of 198 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 4*g**2 - 2*g. Let b be d(-2). Suppose 6*t = 2*t - 3*n + 18, 26 = 3*t - b*n. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xymtppqqxyxpqmp. Give prob of picking 1 t, 1 x, 1 m, and 1 y.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*c = -22, -5*g = c - 7 - 15. Let o be (-10)\/(-6) + 1\/3. Let m be 2\/g*o - -1. Solve w + m = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4*3\/24)\/(2\/12). Suppose 270 - 101 = 4*j - d*v, 84 = 2*j - 2*v. 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: Let q be 4\/(-2) + 0\/(-2). Let k(i) = -i**2 + 13*i + 13. Let l be k(14). Suppose 5*u - 2*u = -12. Put l, q, u in decreasing order.\nAnswer: l, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 + 7. Let q be m(-3). What are the prime factors of 12*2*62\/q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 20 = 5*z, 5*g - 4*z - 21 = 0. Let b be ((-4)\/6)\/(g\/3). What is the closest to -0.1 in b, -2\/17, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/1680 - b**7\/150 - 2*b**6\/75 - 2*b**5\/75 + 2*b**4\/15 + 8*b**3\/15 - 8*b**2. Determine t, given that k(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*sqrt(1331)*3 - sqrt(1331) - sqrt(1331))**2 - sqrt(1331) - (sqrt(1331)*3 + -4)**2)*5.\nAnswer: 5060*sqrt(11) + 7453280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-9) + (-40)\/(-6). Suppose -4*x + 28 = 2*n, x = -2*x + l*n + 21. What is the remainder when 31 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 864 = 2*r. Let v = r - -195. Is 50 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.03, 3, 2, -26?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 83 - 237*l**2 + 233*l**2 - 2*l**3 + l**3 to w + x*l**2 + a*l**3 + v*l and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*6\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 1 (c) -4 (d) 0.4 (e) -27432 (f) 34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30341*d**4*w + 67*d**4 - 22*d**2*w - 7*d*w + 16255 wrt d.\nAnswer: -728184*d*w + 1608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(1600) + sqrt(1600))*-5)\/(4*2*sqrt(8) - sqrt(8) - sqrt(24)\/(sqrt(12)\/sqrt(4)))*6.\nAnswer: -900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/25)*h)\/h)\/h)**(-1\/24)*((h*h**(1\/27)*h*h*h)\/h)**(-8\/9) assuming h is positive.\nAnswer: h**(-65519\/24300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:11 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 0. Let h = 74.76 - 80. Let y = h - m. Round y to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose m*v - 28 = 38. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 13, 0 in ascending order.\nAnswer: -6, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 440535210 to the power of 1\/3, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -113690409+4697151\nAnswer: -108993258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5346272918?\nAnswer: 2, 7, 863, 442499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -2*v + 16, 28 = 3*u + v. Suppose 28 = u*j - 4*j. Solve 3*w + j = 2*x + 2*w, -x = -5*w + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 + 5*d + 4. What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mimnpqw. What is prob of sequence nmwp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/(t\/(t*t*t*t*(t**(2\/13)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(226\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 + 1382915*a**4 + 26273265*a**3 - 87117335*a**2 + 89883190*a - 30422040 = 0. Calculate a.\nAnswer: -276564, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 447601.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1872))\/(4*sqrt(484)) + -5.\nAnswer: -5 + 9*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2060, 2057, 2044, 2015, 1964, 1885, 1772, 1619?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -40*n - 35*n - 276 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/18)\/1)\/((33\/(-8))\/(11388\/30368))?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 3, y: 1, b: 1, z: 5, k: 2}. What is prob of picking 2 z and 2 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h - 24 = 0. Suppose -3*j = -b + 21 + 52, h = 4*j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4192 + 4205 + (-38 - 1 - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4253*r**3 - 31*r - 4254*r**3 + 5 + 24*r - 9*r**2. Let u be (0 - 2 - -4)*-4. Give b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3\/3202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 31, -1\/4, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1532?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000199 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9656204 and -1.\nAnswer: -9656205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3963 + -4?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from ppddddpdpddbddfppbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.2 + -18.2. What is the third smallest value in -4, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -348 - -284.8. Let j = d + 63.1. Put j, -7, -11 in descending order.\nAnswer: j, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 1505, 5088, 12071, 23588, 40773?\nAnswer: 64760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 43 + 2. Let b(m) = -20 - 2 + 2 - m**2 - 15*m. Let d be b(-13). Solve -d = -3*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 - 58*k**2 + 1892*k\/3 - 1552.\nAnswer: -2*(k - 6)*(k - 4)*(k + 97)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691982 is divided by 1938?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9292*y + 436756. Determine o(-47).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*-1)\/(6*2*sqrt(10)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 3*a + 92217541*a**2.\nAnswer: 92217541*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16308916 is divided by 611.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/12 + 26*h**3\/3 - 63*h**2. Let u(m) = 2*m. Give u(r(d)).\nAnswer: -4*d + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*i - 160. Suppose -h - 3*h = -i. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.182 - -0.018. Let y(n) = 0*n**2 - n**2 - 5 - 6*n - 3 + 5. Let u be y(-2). Which is the nearest to 1? (a) -0.2 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -41.9. Let q = -12.6484987 - -15.548502. Let r = j - q. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + -110 + -8 + -5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166112562725 plus 2.2?\nAnswer: 166112562727.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90734064 by -47.\nAnswer: 1930512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0496233850793 and -404.\nAnswer: -404.0496233850793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d - 6. Calculate w(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 - 122 + y + y - 67.\nAnswer: 2*y - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 720*s**3 + 131717*s**2 + 753270*s - 2039184.\nAnswer: (s - 2)*(s + 8)*(s + 357)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 12. Let k(b) = -13*b + 319. Let d be k(25). Calculate r(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9167067 and 51168?\nAnswer: 293346144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c - 12. Let r be (-52)\/(-24) + (-5)\/30. Suppose -5*m + 28 = -r*h + 71, m - 5*h = -4. What is the units digit of o(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + (6052\/32)\/(-17). What is the second smallest value in 4, -24\/47, c, -5?\nAnswer: -24\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 2 + 19 - 5*x + x. What is the tens digit of p(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179108 is divided by 88996.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*2\/(6\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026516 rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/376245 and 38\/537.\nAnswer: 67347855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036054238 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 111*q**3 + 2*q - 1. Let g be c(1). Let f = g - 106. Suppose 0 = -0*y + 2*y - 40. What is the smallest common multiple of f and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/16*582\/(-5). Let s = -190 - t. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2015 = -4*y, 3*y - 509 = 2*y - 3*m. Let w = -498 + y. Solve 0 = -2*k + 5*g + 10, -w*k = -0*k + 3*g + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.03 (c) 7098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/97 - -95\/194. What is the closest to 1 in 0, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b - 68 = 97. Let p be (-4)\/(-14) - 24\/(-14). Put 5, b, -8, p in ascending order.\nAnswer: -8, p, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2698 - -1.7302. Let g = -231 + 363. Let z = g + -662\/5. Sort s, 0.2, z.\nAnswer: z, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/16)\/((-853)\/6824)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 25 - 26 + 3*d - 13 - 23. Let s be x(12). Sort s, -14, -3 in increasing order.\nAnswer: -14, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232331 (base 5) in base 10?\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/7 - 125*o**4 + 441*o**3.\nAnswer: -o**3*(o + 441)*(2*o - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 7 - -3) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 - z. Let k be b(-3). Let m be (k\/10)\/((-14)\/35). Let r be 2*(-1)\/(m - 4). What is the smallest value in 3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a)**(7\/2)\/((a**1*a)\/a*a**4) assuming a is positive.\nAnswer: a**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-270) + (-72821)\/(-1545).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42.8*0.2\nAnswer: 8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48728979.\nAnswer: 3, 13, 138829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8830.865ml?\nAnswer: 8.830865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47328580 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-21)\/(-28)*(-5)\/(-3). Suppose -2*m = -n*g + 250, 181 = 3*g + 2*m + 3*m. What is the highest common divisor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40178067?\nAnswer: 3, 13392689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 600 + -601. Let b(u) = 8264*u**2 + 15*u + 14. Is b(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 6, -0.056, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 1:07 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*r**2 - 140*r**4 + 38*r**4 + 12*r**2 + 24 wrt r?\nAnswer: -2448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 908?\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4468396*y + 22681 = 4467783*y for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3965821?\nAnswer: 23, 172427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7004.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58016740 divided by 6?\nAnswer: -29008370\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.63 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8115657*y**5 - 4*y**4 + 126*y - 8659.\nAnswer: 162313140*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, -756, -28 in decreasing order.\nAnswer: 4, -4, -5, -28, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2408\/3 + 4843\/6. Factor -3\/2*l**2 + a*l + 0.\nAnswer: -3*l*(l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a factor of 8061417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5954 - 795413 - 1260797 = -16*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.979 - -0.021. Sort 1, -3, t in descending order.\nAnswer: t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose 5*x - 26 = -0*x + 2*m, 2*x + 5*m = 22. What is the greatest common factor of x and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1428546 divided by -714273.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = 5*n, 11*y + 2*n = 6*y + 94. Let h = y + -17. Let u be h\/(-5) - 153999993\/35. What is u rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(-3 + l + 3) - 1 + 1 - 3*l**2 + (3*l - l + 0*l)*(-128 + 128 - 4*l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27874, 27852, 27830, 27808?\nAnswer: 27786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 222145?\nAnswer: 1999305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240 - 1?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4546, 3317, 2090, 865, -358, -1579?\nAnswer: -2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0311 - 216.0311. Let t = 365 + r. Let u = 211 - t. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 691, 1115, 1747, 2647, 3875, 5491, 7555?\nAnswer: 10127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8600, 17207, 25814, 34421?\n\"Answer: 8607*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*o - 4252 - 6745 = -3131 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(25 - 9 + 10)*(-2*s + s + 2*s).\nAnswer: -78*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31771\/20760 - -14\/2595. Let g = -2453227279\/58 - -390700960061203\/9237080. Let p = g + -3\/7963. Calculate the common denominator of p and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 4) to base 2.\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0 + 0)\/2. Let j = 16200 - 16198. Put s, 5, -3, j in increasing order.\nAnswer: -3, s, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 46*r + 12. Let i be p(18). Let h = 380 - i. What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -321\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29943141.\nAnswer: 3, 1103, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -440, -1765, -3964, -7037, -10984, -15805, -21500?\n\"Answer: -437*v**2 - 14*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g - 10. Give p(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/5 or -9\/500?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 8)*18\/(-7). Let d be 2 + l\/(1 + 1). Let r(z) = -z**3 - 4*z**2 + 6*z + 1. Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 3*b - 5. Let d be h(-4). List the prime factors of (-3 - d\/2)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/117 - (-202)\/(-2626)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*f**3 + 7*f**3 - 64*f**3 - 54*f**3 - 865 with respect to f.\nAnswer: -489*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 32\/14. Let j(n) = -p*n + 3*n + n. Let s(q) = -3*q + 5. Let r(y) = 4*y - 6. Let a(b) = -5*r(b) - 6*s(b). Calculate a(j(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-7 + (10 - 3) + -11).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 10*r**3 + 10*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -102. Suppose -7*j - s + 40 = 0. Suppose -3*q - 10 = j*q, -5*q + 740 = 5*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3484334?\nAnswer: 2, 7, 19, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8465 divided by 1693?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/273 and 20\/173 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -97?\nAnswer: -42\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -5\/48*n**4 - 1\/12*n**3 + 0*n + 0 - 1\/672*n**8 - 1\/12*n**5 - 1\/24*n**6 - 3*n**2 - 1\/84*n**7. Suppose o(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/(((-14)\/(-7))\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28080 divided by 180?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729564484.\nAnswer: 2, 432391121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c, -4*c - 5 + 34 = v. Suppose -v*w - 19 = -208. Calculate the remainder when 82 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 83 = 6*s - 10*s, -b = 1. Solve -t + s = -5*t - 2*l, -5*t - 5*l - 35 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/14 and (-3*(-4)\/(-6))\/(651\/(-837))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - 7*g**2 - 9*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-18\/13)))\/(f*f\/(f**(-6)\/f)*f*f))\/((f*f**(-1\/6))\/f**(-2\/3)) assuming f is positive.\nAnswer: f**(-289\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ubbb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4372*b + 23530*b - 6621 - 69793 = -18940 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-52 + 148 + -127)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 9. Let m(s) = -3*s**3 + 16*s**2 + 5*s - 10. Let j be m(5). Find the common denominator of ((-747)\/(-27))\/(j\/(-12)) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9687 and -6528.2.\nAnswer: 63238673.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-40 - (41 + -51))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 40 = 5*p, 2*p + 44 = -5*n - p. Let x(r) = 26*r**2 + 13*r - 11. Is x(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:03 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 75 = -18*i. Sort i, -527, -1, 1, 4.\nAnswer: -527, i, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4519\/36480 + 27\/190. Let z = j + -4937\/18048. Let p = -3761\/188 - z. Find the common denominator of 83\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1014, -2109, -3372, -4887, -6738, -9009, -11784, -15147?\n\"Answer: -14*p**3 - 997*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*o**3 - 2*o + 4*o - 50*o**3 - o**4 to the form d*o + k*o**3 + m*o**4 + y + f*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 308*i**5\/3 - 19015*i**4\/3 - 5024*i**3\/3 + 124*i**2\/3 = 0.\nAnswer: -2\/7, 0, 1\/44, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 5*v**3\/6 - 2*v + 30. Let u(t) = -3*t - 2. Let j(n) = -n + 1. Let d(b) = 2*j(b) + u(b). Calculate z(d(y)).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54862?\nAnswer: 2, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3bb?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 360 = -21*x. Let t(n) = 3*n - 7. Let z be t(8). Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0189*3.\nAnswer: -0.0567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221110 (base 4) to base 2.\nAnswer: 10101001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 72.84 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/8*((-308)\/(-42) - 2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10330211 (base 4) to base 6\nAnswer: -233445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x**(-4)\/x))\/(x*(x*x*x**(-1\/3)*x)\/x)**(-22)*((x**(-7)\/x)\/(((x*x*x**6\/x*x)\/x)\/x*x*x))\/(x**(-2)*x*x*x*x*x**(-2\/5)*x) assuming x is positive.\nAnswer: x**(691\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -45. Calculate the greatest common divisor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 23*i**3 + 12*i**3 + 4*i**3 - 1136*i**2.\nAnswer: -4*i**3 - 1136*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.8 (b) -0.2 (c) 1\/2 (d) 4 (e) -9 (f) -1677\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (270*1)\/3 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/48*(-4)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Solve f*m - u - u = -20, -14 = -3*m - 4*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -780*h**6 - 13014*h**3*n + 27*h**2*n + 75*h*n - 9*h + n wrt h.\nAnswer: -93600*h**3 - 78084*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.93 - -0.07. Let v = z - 61.937. What is v rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:53 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/((-1)\/5623) + -26 + 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 4:30 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 9538467\nAnswer: 76307736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*y - 4, -2*o + 2*y + 6 = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345413736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*r = 2*r + 3, 0 = 4*d + 5*r + 7. Suppose -229 = -d*f + 751. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-8) - (-400)\/(-640)*4\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -3*z. Let c = 10 - z. Suppose 2 = -c*p + 6. Solve 0 = 2*f + 2*f - 4*x, 3*f - p*x = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1)\/l)*l*l*l*l**(2\/19)*l**(-2)\/l**0)\/(l*l\/(((l*l**(-2\/11)*l)\/l)\/l)*(l*l\/(l\/(l*(l*l**(2\/11)*l*l)\/l))*l*l)\/l)**(1\/10) assuming l is positive.\nAnswer: l**(7041\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 4, m: 5}. Give prob of sequence wvw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 150. Give l(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823 - b - 2*b - 1643 + 820.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -19. Let t = r - -14. Factor 2*f**2 + 7*f**2 + 0*f**3 - 3*f**3 - t*f.\nAnswer: -3*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usd when three letters picked without replacement from suddsdyssysds.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 0*q**5 + 0*q**5 + (-91*q**3 + 21*q**3 + 41*q**3)*(-2*q + 5*q**2 - 2*q**2 - q**2) + 6*q**5 - 3*q**5 - 4*q**5.\nAnswer: -57*q**5 + 58*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/85, -0.2, -252.9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/15 and 61\/25377?\nAnswer: 126885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 756\/11 (c) 3 (d) -0.267\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -296 in 3\/2, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -317 + 67 + 134 + 131 + 12*z. Give x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/4 of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/7, -5, -2\/3, 2\/9 in descending order.\nAnswer: 1\/3, 2\/7, 2\/9, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 34*j - 8*j. Solve j*n + 10 = 5*o, 1 = -n + 3*o - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from mama?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*i - 3068, 2*z = 6*z - 3*i - 3065. Suppose -z = -5*t - 54. What is the common denominator of -17\/14 and -2 + (t\/(-36))\/(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 0.0453, -2, 3, 0.5?\nAnswer: 0.0453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 30942?\nAnswer: 61884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + f + (-2 - 1 + 1)*(f + 3*f - 5*f) + 3*f - 4*f + 2*f)*(2*f - f - 2*f + (-125*f - 11*f + 0*f)*(0 + 2 + 1)) as d + k*f**2 + x*f and give k.\nAnswer: -1636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 2, 0.1, 453, -1\/6, 4 in descending order.\nAnswer: 453, 4, 2, 0.1, -0.07, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1289 - 1289.00763. Round t to four decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 27 = r, 3*r - 8*r + 30 = 4*x. Solve 0*m - m = r*y - 9, 2*m + 27 = 5*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 2*r**2 + 0*r**2 + (r**2 - 8*r**2 + 3*r**2)*(-3 + 0 + 2) - 11*r**2 - 48 + 48.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 155733?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137389 divided by 7231.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*i**4 - 2 + 5462*i**2 - 5462*i**2)*(-7*i - 10*i + 2*i).\nAnswer: 1530*i**5 + 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 13*w**2 - w - 13. Let i be q(-13). What is the second derivative of 12*d**5 + 2*d + i*d + 7*d**5 wrt d?\nAnswer: 380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:13 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 564\/4505 - 2\/265. Let o(y) = -y**2 - 5*y - 1. Let c be o(-5). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = -564.307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.285\nAnswer: 1.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -90?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47ac - 3009?\nAnswer: 17a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 662*i - 1496*i + 681*i + 10404 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2))\/(3 + -2). Let x = h - -2. Let n be x\/(1\/1) - 3. Is -2\/21 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74920801 rounded to two dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2506 (base 10) to base 2\nAnswer: -100111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 4. Let j be g(0). Let y = j - -3. What is the units digit of y + (-1)\/((-3)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167885200 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240106 and 231?\nAnswer: 15680742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 + 2*q. Let s be c(3). Let d be -4 + (4 - (-1)\/s). Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 9.9, -0.02, 9, -3\/31?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234 - 1191. Solve -5*h - 16 + g = 3*s, 2*s = 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9, g: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33a (base 11) to base 4\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 1)*(-439*i + 249*i + 96*i) + 4*i - i + 0*i + (3*i - i + 0*i)*(1 + 3 - 2) as n + r*i and give r.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {k: 2, o: 1, f: 4, i: 1, d: 2, z: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfrabaarrbcbbbrbb. What is prob of sequence rba?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 7 - 2*q + q. Let f be u(10). Solve -f*z - 4*t = -t + 3, 5*z - 3*t + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -38654*l + 3169634. Determine c(82).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 2)*(l**2 + 2*l**3 - l**2) - 3*l**2 - l**3 + 3*l**2 to a + k*l**2 + n*l**3 + c*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 9 - 7*w**2 + 17*w**2 - 5*w**3 - 7*w**2 + w.\nAnswer: -15*w**3 + 3*w**2 + w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppvvvppvuvpvpuuppu. Give prob of picking 2 v and 1 u.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-75.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -2. Suppose -d = 4*m - 184. Let i = -13 + m. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 + 14 = 0. Suppose -6*h + 22 = 2*i - 2*h, -h = -j*i + 26. Let t(y) = -53*y + 319. Let x be t(6). Solve -x + 0 = -k, 5*l = -3*k - i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5466 + 5522. Solve 0 = -q*g + 16*g - 80 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u = 16. Let z(a) = -a + 1. Let x(s) = s + 3. Let o(p) = x(p) + 2*z(p). Let g be o(u). Solve 4 = b + g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**8\/112 + 3*k**7\/49 + 29*k**6\/280 - 11*k**5\/70 - 9*k**4\/14 - 4*k**3\/7 + 24*k**2. Determine v, given that j(v) = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2296, 27\/8, 3, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234034 (base 5) in base 13?\nAnswer: b07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15279 and 691583563.\nAnswer: 5093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4454 - 8901 + 998*q + 4447 to u*q + o and give u.\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 0.206?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-5 + 4 - 1)*(-h**3 - 4*h**3 + 3*h**3)*((-2 - 1 + 4)*(h + 2 - 2) + 2*h - 2 + 2).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 13382641?\nAnswer: -13382646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 7*z. Let t(m) = -2*m**2 - 6*m. Let q(u) = 6*a(u) + 7*t(u). Let d(o) = -2*o + 6*o - o - o. Determine q(d(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bww when three letters picked without replacement from bwwwwwwbwwwwbbwwbbw?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40936 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 836699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9d (base 14) to base 9\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 12*j - 48. Determine g(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**3 + 2*n - 4. Let m(u) = 19*u**3 - 5*u + 9. Determine 2*m(h) + 5*y(h).\nAnswer: -7*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**2*g**(-3\/11)\/g*g\/(g*g*g\/(g*g**(-4))*g)*g**(-5)\/g assuming g is positive.\nAnswer: g**(-113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 18) + (-2 + 6 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 9*y - 14. What is the remainder when y is divided by 1\/(-2 + (-10)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -37. Let f = -35.6 - k. Let g = 4 + f. What is the third smallest value in g, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4757*z - 72. Let c(s) = -9513*s - 144. Let d(l) = 2*c(l) - 5*t(l). Let m be d(-8). What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 - 34\/((-36414)\/(-105)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/24 and (4\/((-48)\/69))\/(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3157.165 years to months.\nAnswer: 37885.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 26. Let f(d) = 1. Let z(i) = f(i) - n(i). Let t be z(9). Which is the third biggest value? (a) t (b) 0.2 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:04 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 - 10 = -5*d, -t + 5*d - 12 = 0. Suppose -t*n - 27709998 = -l - n, -3*n = 3*l - 83130003. Round l to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 14, 17, 20, 23, 26?\n\"Answer: 3*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**3\/6 - x**2. Let k(n) = -38*n + 1367. Let m be k(36). Let p(t) = 7*t + 1. Determine m*d(c) + p(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8055 and -145\/6444.\nAnswer: 32220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164197, -164220, -164247, -164278, -164313, -164352?\nAnswer: -164395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*u - 6. Is 0\/u - (-2882 - -19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1606 and -8546575766.\nAnswer: -8546574160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 22\/7 (b) 22 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 8*c**2 + 16*c + 9. Let a be k(-10). Let h be ((-1)\/(-2) - a\/6)*3. Let x = 1 - h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Let t(q) = q**2 + q. Let v(y) = 2*y**2 + 7*y. Let j(f) = 35*t(f) - 5*v(f). Give c(j(w)).\nAnswer: 1250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12397 = -771*l - 23378 - 38363 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*i - g + 4, -27 = -3*i - 5*g. Suppose i*y - 2*y - 1236 = 0. Suppose -5*k - k = -y. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 5*f - 3*f + (-3 + 3 + 1)*(f - f - f))*(-f**3 + 6*f**2 - 5*f**2 - f**3) to x*f + i*f**2 + y*f**3 + w*f**4 + u and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.813 and 5?\nAnswer: -4.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9034.8238 - 7443.56808. Let u = q + -1520.2557191. Let v = u - 71. Round v to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 405? (a) 5 (b) 1.4 (c) 3\/2 (d) 2\/9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = 3*t + 8, 0 = 3*r + 2*t - 2. Let y be -2*(2 - 10\/r). Let v be (-3 - -1) + 4\/y. Solve h = -0*h + v, -2*p + h - 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/33, 903\/4, 1.\nAnswer: 0, 2\/33, 1, 903\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6)*26\/(-312). Let p = -16 - -16.6. Let y = -1.6 + p. Which is the closest to g? (a) 2\/7 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114003517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 19 + -9 + (-4 - -14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjryrrpamrja. What is prob of sequence ay?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/((-3)\/12*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 27*a - 50 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 8. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 20*j**2 - 9*j + 55*j**2 - 33*j**2.\nAnswer: j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -2. Let u = -10 + t. Which is the nearest to u? (a) -4 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17 + 17 + 11*a - 17*a. Let o(z) = -z. Determine c(s) - 3*o(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213275 and 4041?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -59. Solve 2*c + 0*c - 5*w = x, -2*c + 18 = -2*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*101.\nAnswer: 80.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - (-3 + 15)) + 2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/28 + 643\/(-56) + 12. Find r such that r + 3\/8*r**2 - 1\/2 + 1\/8*r**4 + 3\/8*r**5 - f*r**3 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))\/((n**(-1\/4)\/n)\/n))\/(n\/n**(1\/2))**(1\/15)*(n**(-1\/4)*n**(1\/7))**(-20) assuming n is positive.\nAnswer: n**(1831\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25214 + -1?\nAnswer: -25215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2 - m + 0*m - 6*m. Let h(a) = -7 + 29 + 3*a - 5*a. Let l be h(8). Determine g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-132) + 1 + 84\/(-154). What is the fifth smallest value in 57, -2, b, -2\/9, -1.1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**40\/((x\/x**22)\/x) assuming x is positive.\nAnswer: x**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, -1096, -1166, -1226, -1276, -1316, -1346?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/83 or 0?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58311974 divided by -7.\nAnswer: -8330282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663052 and 31980?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 a when four letters picked without replacement from daddaddddddadadaddd.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-8)\/c)\/c)\/c**(-1\/10))\/(c**(1\/5)*c**(1\/6))*((c\/(c\/(c*c*c**(-1\/11)))*c)\/c**3)\/(c*c**(-1\/9)*c*c**(-5)) assuming c is positive.\nAnswer: c**(-3587\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*i**2 + 2*f**3*r**2 - 10*f**3 - 116*f**2*r + i**2*r - 3300*i*r**2 + 8 with respect to i.\nAnswer: -4*f**3*i + 2*i*r - 3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 124, 255, 390, 529, 672, 819, 970?\n\"Answer: 2*h**2 + 125*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - 2 + 2)*(-7559*p - 7192*p + 14402*p) to y*p**3 + g + u*p**2 + t*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*r + 16*r + 20*r)*(0*r + 2*r - r)*(-5 - 1 + 4 - 6 + 1 + 1 + (-2 + 3 - 3)*(3 - 7 + 2) + 0 - 4 - 2).\nAnswer: 112*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5486?\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/2)\/(7\/(-70)). Let a = -26 - -26. Suppose -3*j = 4*y - 86 - v, a = 5*j + y - 391. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - a + 6 + 12, -f + a = 0. Let c(g) be the first derivative of 0*g**2 - f - 6*g - 5\/3*g**3. What is the first derivative of c(j) wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/416 and 11\/104.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 22340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19959.\nAnswer: 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -92727.5596 + -5\nAnswer: -92732.5596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i**2 + 4*i**2 + 8*i**2 + (-i + 2*i**2 + i)*(5 - 2 + 0) + 3*i**2 + 6*i**2 - 5*i**2 as w*i**2 + v*i + g and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oohooowohwooohooo. What is prob of sequence wwo?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/95161 and -65\/2222?\nAnswer: 19222522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 111*r**2 + 1459*r + 1828. What is p(-96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*n**3 + 109*n**3 + 111*n**3 + 114*n**3 + 112*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1088, -2183, -3280, -4379, -5480, -6583, -7688?\n\"Answer: -m**2 - 1092*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14370580, -14370574, -14370564, -14370550?\n\"Answer: 2*o**2 - 14370582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.51841ug in milligrams?\nAnswer: 0.06151841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 - 4 = 0. Let l(m) = -4*m + 5. Let g be l(p). Let h = -0.9 + -3.1. What is the closest to -1 in -1\/11, h, g?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 0.23 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*n - 2*b, -4*b + 6 = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10225 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 50*l - 6016. What is i(19)?\nAnswer: -5066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*z = 285*z + 175. Let q(t) = -2*t**3 + 48*t**2 + 52*t - 45. Let j be q(z). Solve j*d = -0*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1868938227 - 1868938433.0000097. Let f = 206 + a. What is f rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5672135958 and 210?\nAnswer: 5672136168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 1 + 0*f - 1. Let a be o(2). Let d(m) = 3*m - 6. Let z be d(4). Solve z = -0*k + a*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(13\/2)*o)\/o*o)\/o*o**(-5))\/(o*o\/o**(-2\/9))**(-20) assuming o is positive.\nAnswer: o**(827\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1380.3354 + 230562\nAnswer: 229181.6646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100001101 - -10?\nAnswer: -1010100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from uufubbuuufufuf?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -742575*m*p**6 + 13*m*p**2 + 2*m*p - m + 2723*p**2 wrt p.\nAnswer: -89109000*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82756130?\nAnswer: 2, 5, 8275613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*l - 36, -4*i - l = 13 + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(252))**2 - sqrt(252)).\nAnswer: -6*sqrt(7) + 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6. Let g(o) = 2*o + 5. Let p(n) = -n. Let w(s) = g(s) + p(s). Give -5*q(l) - 6*w(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -2303?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 269 + -713. Let v be 3\/4 - r\/48. What is the greatest common divisor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - -0.4. Suppose -1228*t + 1232*t + 28 = 0, 307 = 4*w - 5*t. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 225 (b) 3\/4 (c) -5 (d) 4\/29 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j - 3*q = -78*j - 62696, 37638 = 3*j - 5*q. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 0*y + (-3 + 4 + 0)*(-2*y + 7*y - 4*y) + 0 + 0 - 2*y + 3*y - 3*y + 2*y + 7*y + 3*y - 5*y)*(-3*y + 3*y + 2*y**4).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 2*y + y - 4 - 2*y. Let p(b) = b**3 + 12*b**2 - 27*b + 19. Let h be p(-14). Determine z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 5*i**2 + i + 2. Let w be u(4). Let r be 13\/(-65)*w\/8. Suppose 2*c - z + 4*z + 10 = 0, 2*z + 8 = 0. Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.5, 0.04, -1, 7.7, -0.2.\nAnswer: -1, -0.2, 0.04, 7.7, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 + 402. Suppose -5*b + n = -0*b. Calculate the remainder when 67 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9795340.\nAnswer: 2, 5, 89, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12215 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 588 - 582. Let j be (-1665)\/(-10) + -1 - 3\/x. What is the highest common divisor of j and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/5)*g*g*g**(-12))\/(g\/(g*(g\/(g\/(g**(-2\/45)*g*g)))\/g)*g*g**(2\/17)) assuming g is positive.\nAnswer: g**(-7468\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 - 5*u - 1. Let g be (-2 - (-1 + -1)) + 2. Calculate the remainder when w(7) is divided by 15*(g\/6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*l**5 - 14\/3*l**4 + 136\/9 - 142\/9*l**3 - 94\/9*l**2 + 16*l = 0 for l.\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35761 and 6391?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/(22\/(-55)). Let q(x) = -x**2 - 13*x + 4*x**2 + 2*x**2 - 7 - u*x**2. Let s(l) = l**2 - 4*l - 2. Determine 2*q(t) - 7*s(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/62 (b) -5 (c) -3\/4 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(360)\/sqrt(8))\/sqrt(9) + sqrt(5) + -3 + sqrt(5) + -4).\nAnswer: -3*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0393208 and 0.1.\nAnswer: 0.00393208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1663, -1664, -1665?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, 4\/7, -9, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17263 and 120841?\nAnswer: 120841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-5)*425\/5610*-22*12\/(-11934)\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/12))\/g*g**(-12\/7)*g)\/(g**(-2\/15)\/(g**41\/g*g)) assuming g is positive.\nAnswer: g**(5647\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(72) + sqrt(56)\/(-1*sqrt(7)))\/(-5*sqrt(256)\/sqrt(4)).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395462137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -6.5, -2, 4, -1?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111100102112 - 0?\nAnswer: -1111100102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-6)*(-12686)\/222005\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8166730 + 8166717 - 16333447 + 5*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*u + 19 = 0, 3*u - 14 = -5*k + k. Suppose 65 = 3*j - 5*n, k*j = -n + 166 - 11. Suppose 10*a - 5*a = j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141)\/210 + (-1936)\/(-1232)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/2))**(-15)*((y\/(y**2\/y*y))\/y)\/y**(2\/9))**(3\/7))**46 assuming y is positive.\nAnswer: y**(-575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(((g\/(g\/g**7))\/g)\/g)*g))\/(g\/(g**(2\/23)*g))*g**(-6)\/(g**(-2\/13)*g*g) assuming g is positive.\nAnswer: g**(-526\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d**(-1\/7))**(-6\/17) assuming d is positive.\nAnswer: d**(258\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207.1 - -204. Let b = -6 + 6.1. Let k = b + f. What is the third biggest value in -0.3, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -545 (c) 3\/2 (d) -0.5 (e) 1 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*k = -2*k + 315, 5*g + 3*k - 317 = 0. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 27*n**2 - 11*n + 19. What is the hundreds digit of p(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from hfujhhhhfjhh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 66789, 6, -3 in decreasing order.\nAnswer: 66789, 6, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 2 = 2*v, 4*d + 1 = 3*v. Let o(k) = k**3 - k**2 - v + 1 + 3 + 0*k**2. Let s(q) = q**3 + q**2 - 1. Give o(b) + s(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1 + -2 + (sqrt(1331) + 2*sqrt(1331))**2 - ((4*1*sqrt(11) - sqrt(11))**2 - (sqrt(66)*1)\/sqrt(6)).\nAnswer: 11878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 14*q - 2 = -9*q, -3*i = -4*q - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2412, -2604, -2798, -2994, -3192, -3392, -3594?\n\"Answer: -a**2 - 189*a - 2222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 15. Suppose 2*h - 33627 = -2*a - 3*h, -h + i = 0. Suppose -5*q = -a - 474. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/60 + 28*u**2. Let s be w(2). Suppose s*f - 1632 + 355 = n, -3*f + 3*n = -960. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 7*j + 6. Give c(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65440*l**2 + 131108*l**2 - 65666*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -108020 greater than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21741, 29457, 42317, 60321, 83469?\nAnswer: 111761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4 + 98611*b**3 + 18797835*b**2 - 37891507*b + 18995060 = 0?\nAnswer: -98420, -193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 48. Let r = 20 - c. Let f(v) = 0*v - 2*v**2 + v**2 - r + v - v**3. Determine f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(190)\/(3*sqrt(10)))**2 + 2 - ((sqrt(152) + (sqrt(152) - 1*1*sqrt(152)))\/sqrt(8) + -5).\nAnswer: -5*sqrt(19)\/3 + 91\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 24*d**2 - 105*d + 143. Let y be j(-7). Calculate the highest common factor of 2445 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/13))\/(l**(-1)*l))\/(l**(-1))**(12\/13)*(l**(-2\/7))**(-17)*l**(-3)*(((l\/(l\/(l**1\/l)*l))\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-34\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 - -190434?\nAnswer: 190484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2735028 by -3924.\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:05 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 197, 437, 763, 1169, 1649?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 80.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/8 + 5\/(-20). Suppose 3*b + 0*b + g*j - 14 = 0, 0 = 5*b - 2*j - 18. What is the second derivative of -4 - 2*h**2 + h + b wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81097880.\nAnswer: 2, 5, 2027447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121954 divided by -4.\nAnswer: 60977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 36, 0, 92, 12, -3 in descending order.\nAnswer: 92, 36, 12, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:35 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4328*o. Let a(x) = -6*x**2. Give a(d(w)).\nAnswer: -112389504*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 0.26. Let g = -0.1 + 6.4. Let t = g + -6. What is the second smallest value in 3, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l + 11*l + 5*l)*((1 - 3 + 1)*(-3*l + 4*l + 0*l) - 14*l + 52*l + 6*l + 1 - 1 + l).\nAnswer: 1584*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/30)))**20)**(-2\/15) assuming z is positive.\nAnswer: z**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 12) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/14*63\/(-28)*28\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547290062 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132367439*b - 132367439*b + 4*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -1050 + 414. Solve 2*d = 2*y, -t*y + 1 = -54*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -w - 4*w + 39, -3*w + p + 25 = 0. Suppose -u - 4*f + 553 = 0, -5*u - 4*f + w*f = -2717. List the prime factors of u.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412915771 rounded to 3 dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**2 + 7*g + 11. Let w(p) = 5*p**2 + 3*p + 5. Give -3*t(x) + 7*w(x).\nAnswer: 5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2388 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.072 + -13254.827.\nAnswer: -13254.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 20. Is p bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 5 (c) 1\/4 (d) 255 (e) -2\/69 (f) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let n(r) = -r + 1. Let o be (-14 + 12)\/(1\/(-9)). Let g(i) = -7*i + 9. Let f be 2\/5 - 12\/5. Let a(w) = f*g(w) + o*n(w). Give p(a(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/235 - -182\/5405. Which is the biggest value? (a) -0.3 (b) 9 (c) p (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 17808.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:56 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201769 is divided by 400550?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3229977627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 12 + (-411)\/(-5) + 4\/5.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (738\/(-24))\/((-54)\/48)*(-18)\/(-228)*19?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 15 = 3*j. What is the remainder when 147 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:10 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**5 + 125*p**4 + 450*p**3 + 653*p**2 + 422*p + 102. Suppose 22*f - 18 = 16*f. Let g(c) = -c**2 + c + 1. Let w(n) = f*g(n) + k(n). Factor w(l).\nAnswer: 5*(l + 1)**4*(l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + n**3 - n**3 + 47 + 100.\nAnswer: -n**3 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -41. Let m(x) = -4*x + 26. List the prime factors of m(g).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248140 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 2*y + 9758 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 - 123*x - 1133. Let q be t(-10). Which is bigger: q or -2720\/9?\nAnswer: -2720\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125791743?\nAnswer: 3, 7, 11, 631, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 9 + 2 = 0. What is the smallest value in t, 1\/5, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.85 in 0, -5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -19*h. Let y(r) = 3*r + 233249. Calculate f(y(x)).\nAnswer: -57*x - 4431731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 0.2, -9\/23, 3\/5.\nAnswer: -4, -9\/23, 0, 0.2, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/11)\/f*f**(2\/5)*f*(f*f**(-1\/4))\/f*f*f**(-2))**(-26) assuming f is positive.\nAnswer: f**(-1209\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 11*q + 8*q)*(-5*q - 2*q + 2*q).\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119568 is divided by 197?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 1. Let t be d(-1). Let o = 1 - t. What is the third smallest value in 2, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 - 2*z + 3. Let g be d(-3). Let h = -228 - -303. Let o = g + h. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 36844?\nAnswer: -36848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-30)*q)\/q)\/q*q**4)**(-33) assuming q is positive.\nAnswer: q**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56092 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39737.484 * 0.14.\nAnswer: -5563.24776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - 8*j + 7. Let u(s) = 11*s**2 + 7*s - 6. Let w(g) = 5*q(g) + 6*u(g). Is w(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. Suppose 24 = -v*p - 3*m + 152, 2*m + 148 = 5*p. Suppose 5*y = 8 - p. Let f(u) = -u. Determine f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412*r**2 + 1403*r**2 - 5660*r**2 + 1421*r**2 + 1417*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u + 1 = 16, -5*u = 25. Suppose m = -9*z + 322 + 1199. Calculate the remainder when z is divided by (19\/2)\/(1\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in -2, 5, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.3 (b) -5 (c) 1\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - t + 1. Let d(a) = -5*a**2 - 22*a - 12. Let g(o) = -2*o**2 + o. Let b(x) = -d(x) - 2*g(x). Let w(h) = 3*b(h) - 24*s(h). Factor w(j).\nAnswer: -3*(j - 2)*(15*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9591.93 rounded to the nearest 10?\nAnswer: -9590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -23, -33, -41?\n\"Answer: y**2 - 15*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1080247964 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/4 - (-30)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362795 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 - 49. Let j = 1212 - 1212. Determine m(j).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(99) + sqrt(99))\/sqrt(3)*-6)\/(sqrt(3)*2*-5*4).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353 or -7426\/21?\nAnswer: -7426\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 77*t**2 + 5*t + 4. Let r be c(-1). What is r rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*n**2 - 12484*n + 8328 = 0. What is n?\nAnswer: -1041, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-8)\/2*121\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 + (-5 - (-3 + -1 - 10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 + 308972*h**3 + 3708124*h**2 + 8961748*h - 12978840 = 0.\nAnswer: -7, -6, 1, 77255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 3*q + 4. Let f be l(-3). Suppose p = -f*p + 420. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103880000 rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-4))\/((-24)\/(-8))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -453 - -459. List the prime factors of 2\/t - 251440\/(-240).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/9*9\/6 + 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 160*j + 1929. Calculate d(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10011 - -10010.992387. What is q rounded to 4 decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 184601370.9 to the nearest one hundred thousand.\nAnswer: 184600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 850, 1704, 2558?\n\"Answer: 854*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363318, -726615, -1089912?\nAnswer: -1453209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k**2 - 2*k + 4. Suppose -9*g = 30 + 15. Let f(l) = 30*l**2 + 3*l - 6. Determine g*f(v) - 8*s(v).\nAnswer: 10*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:35 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -87, 9, -4, 1 in ascending order.\nAnswer: -87, -5, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01131228 to four dps.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**4 + 34*g**4 - 71*g**4 + (g**3 + g**3 + 0*g**3)*(0*g + 4*g - 2*g) to the form q*g**2 + s*g**3 + d + a*g**4 + w*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126597 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**3 - 4*t**3 + 6*t**3)*(-1383*t - 1392*t + 528 + 2780*t) as q*t**3 + o*t + l*t**4 + z + h*t**2 and give q.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -132) + (2 - (2 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by 4?\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6703.\nAnswer: 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oswx when four letters picked without replacement from {x: 1, s: 6, w: 3, u: 1, o: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36444\/(-6)*(-5)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.68 and -159.\nAnswer: 108.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 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: Solve 17*j = -75*j - 80*j - 2064 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -17*l**3\/3 - 3*l**2 + 737. Let i(t) = -51*t**2 - 17*t. Give -17*c(z) + 6*i(z).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 20b68b2?\nAnswer: -20b68bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -76. Suppose 85 = 5*p + 4*b + 31, p - 4*b = 6. What is the greatest common divisor of k and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171)*-2*-3*-2 + 0)**2.\nAnswer: -288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = -4*u - 9, 4*u = -16. What is the third derivative of -6*r**2 + 3*r**g + 7*r - 7*r wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0 + 5*y - 1\/6*y**3 + 19\/2*y**2. Is u(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) - ((-780)\/176 - -5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1849, -3711, -5573, -7435?\nAnswer: -9297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*h + 1481 = -3*h, -5*d + h + 1489 = 0. Let w = 347 - d. Calculate the smallest common multiple of w and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u - 5. Determine o(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Suppose 0 = 4*l + c*a - 1276, -5*l = 3*a - 4*a - 1595. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2661661 + -1.459.\nAnswer: -2661662.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192216?\nAnswer: 2, 149027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5409323*g**3 + 2459973*g**2 wrt g.\nAnswer: -32455938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1028*c**2 + 432786*c + 837. Determine b(421).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 51c8?\nAnswer: 51ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 5:33 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-5) + (-2)\/5. Let y = 4 + g. Let z be 1 + -3 - (-7)\/y. Is 4 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + 0.06. Let a = g + -12.93. Let r = -17 - a. What is the smallest value in 4, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343087\/(-25515) + 92 - 1\/9?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (253\/22)\/((-1)\/(-4)). Suppose 10*q - 14 = o. Solve -6 = -q*l + 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(-2\/5))**(-24) assuming g is positive.\nAnswer: g**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46688, -373430, -1260282, -2987300, -5834540, -10082058?\nAnswer: -16009910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2137 + 1188. Let y = v + 948.9557. What is y rounded to 3 decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16107244.3 + -16106455.28391. Let i = -789 + p. What is i rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.97 * -9.\nAnswer: 179.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 40 - 62. Let f = 77 + m. Suppose p + 0*p = f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 2, u: 3, m: 6, v: 1}. What is prob of picking 1 l, 2 j, and 1 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2\/19))\/r**(-7))\/(r**(2\/33)\/r**(2\/31)) assuming r is positive.\nAnswer: r**(177055\/19437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x + 9*x - x**3 - 2336 + 2682 + 4*x**4 to the form y*x**4 + o*x**3 + n*x**2 + w + l*x and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915520\/80 + (-16 - -1).\nAnswer: 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/3, 179 in decreasing order.\nAnswer: 179, 15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190) - sqrt(190))*1)\/((sqrt(40)*-2)\/sqrt(4)) + (4 + (2*(0 + sqrt(19)))**2)*1.\nAnswer: 3*sqrt(19)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1018575676 - -1018575802.00000372. Let k = -298 - -172. Let i = a + k. What is i rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40314462 by 6.\nAnswer: -6719077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - 54625213?\nAnswer: -54625251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87432568.\nAnswer: 2, 23, 643, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277\/1043 - 3\/149. Let h = 1\/89 - -175\/267. Is x > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221960647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 0.0499 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(10\/7)*n**(2\/17))\/((n**(-2\/13)*n)\/(n\/n**7)) assuming n is positive.\nAnswer: n**(-11072\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**2. Let x(v) be the third derivative of -27*v**5\/20 + 60*v**2 + 5*v. What is x(d(o))?\nAnswer: -5184*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71921261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-30) + (4 - 5))\/2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 4 - 4 + (2*u + 2 - 2)*(-3*u**4 + 3*u**4 - u**4) - 6*u**5 - 6*u**5 + 5*u**5.\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:30 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 289*g**2 - 9*g - 40. Give n(-3).\nAnswer: 2588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*t + 300 = 888 + 856 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -44.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-12))\/((-4)\/32). Suppose -n = d - 8. Let h = 93 + -88. What is the fourth smallest value in n, -6, h, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12167357.\nAnswer: 12167357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392 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: Suppose 8907 = 13*a + 1133. Let b = a + -313. List the prime factors of b.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhcc when four letters picked without replacement from {x: 3, c: 2, h: 5, z: 2}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 14*w + 2*i - 40, 5*i = -3*w + 7. Let k(q) = q**3 + 7*q**2 + 7*q + 15. Give k(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10*p + 7 = 0, -665*u = -668*u - 5*p - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 2*b**2 - b. Let f(r) = -r**2 + 6*r + 1. Let m be f(6). Calculate the remainder when 7 is divided by x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l - 1. Let p be -10 - (28\/6)\/(84\/(-126)). Let y(v) = -3*v + 2. Let d(m) = 4*m - 2. Let w(c) = -3*d(c) - 2*y(c). What is p*w(j) - 4*h(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 3:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/15*34635\/39253?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43866, -87886, -132228, -177054, -222526, -268806, -316056, -364438?\nAnswer: -414114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/6, -0.1, -79, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 8*h - 4, -2*t + 11*h + 4 = 7*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 158, 199, 242, 287, 334, 383?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 3. Let y be j(0). Solve y*c - 7*c = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -338659 and 0.0135.\nAnswer: -338658.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:11 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i. Let o be y(-2). Let z be ((-5)\/((-70)\/(-6)))\/((-3)\/o). Which is the closest to 2? (a) z (b) 3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j = -84*j + 6. Suppose 474 = -j*y + 9*y. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -10?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, x: 5, j: 3}. Give prob of sequence jji.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 722*w - 9389. Let q be i(13). What is the biggest value in 3, -1\/6, q, -3.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -742\/9. Let i = -13 + 13.2. What is the nearest to i in 3, o, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -4, 5, -8\/25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4282\/17 - 252. Let p be -7 + 1 + (3 - 1). Let w be -3 + p\/(-12) + 3. What is the closest to w in 5, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5776577?\nAnswer: 43, 134339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 516803 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-63))\/((-110)\/77). Which is the biggest value? (a) 2\/3 (b) -9\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052*0.29.\nAnswer: -0.01508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10633289, 10633286, 10633281, 10633274, 10633265?\n\"Answer: -d**2 + 10633290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-30))\/((-36)\/(-30)). Which is the biggest value? (a) x (b) 3 (c) -1 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 108*p - 854. Calculate q(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2143, -3270, -6299, -12178, -21855, -36278, -56395?\nAnswer: -83154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from xjxmjxxmxlujxxlux?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 360920246 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -3 - 1)\/(-2). Suppose a = -4*p - p - 3500. What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997, -8039, -27151, -64369, -125729, -217267?\nAnswer: -345019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 7) in base 5?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20210410 (base 5) in base 9?\nAnswer: -267816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 21 + 7 = 0. Suppose 0 = -w*i + 5*i - 120. Calculate the remainder when i is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2059428423*h + 2 - 2059428424*h - 2.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = -0*m. Suppose 0 = s - i + m*i - 2, -3*i + 2 = s. Solve -5*y = 3*x + 35, -x - 27 = s*x + 3*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4249, -8485, -12721?\nAnswer: -16957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 7) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, -6673, -15128, -26975, -42202?\nAnswer: -60797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5296277 divided by -887\nAnswer: 5971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 858 = -1011. Let m(w) = -2*w**2 + 6*w - 1. Let y(g) = 5*g**2 - 13*g + 2. Give i*m(j) - 4*y(j).\nAnswer: -2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12485760\/1365 - 1\/13?\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534145*y - 2*y**2 + 534145*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 35*l + 200. List the prime factors of m(28).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 6*y**3 - 6.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 29 + (-13 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 + t**2\/2 - 29*t\/2 - 30.\nAnswer: (t - 10)*(t + 2)*(t + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28920 and 318120.\nAnswer: 318120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)\/z*z**(1\/10)*z*z)\/((z*z**(-9))\/z**(-11)) assuming z is positive.\nAnswer: z**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 749, -2145, -6961, -13693, -22335?\n\"Answer: p**3 - 967*p**2 + 1715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64, -73, -306, -635, -1060?\n\"Answer: -48*s**2 + 7*s + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1601 + 5*z**2 + z**2 - 12*z**2 + 8*z**2 - 143 in the form i*z**2 + y*z + v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.8761 years?\nAnswer: 0.568761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (14 + 3)) + -1. Let o be (-8)\/f*(1 + -1). Suppose 2*w = -5*k + 74 + 116, -4*w - 20 = o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.7 (b) 12941 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from huhunnhnjuhhwjjnhn.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 8:30 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33324 rounded to the nearest one hundred?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 41*p = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4301200124 - 141?\nAnswer: -4301200320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from vdvvpvggdhhpvhpgvg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-836)\/(-8)) - (-3)\/(198\/582)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 1404.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 474 - 464. What is the remainder when 189 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 3*x - 19. Let l be b(8). Suppose -t + 94 = l. What is the units digit of (-26*t)\/(-5) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 838, -0.7, 306, 2, -2, -0.3.\nAnswer: -2, -0.7, -0.3, 2, 5, 306, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 9*d**3 + 17*d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 59 = -2*h - 53, -g = -3*h + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9084 and 20850051.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (1 - (2 - 1)). Suppose -3 = t*d, -2*d = 2*m + 3*d + 489. Let w = -154 - m. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44 and -29\/11808.\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.78 at most as big as -3508.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 3. Let j = 95 + v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 98\/(-343) - (-12030)\/14. Suppose 36 = -4*d - 3*w + i, -415 = -2*d - 5*w. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)*r)**19)**15 assuming r is positive.\nAnswer: r**399","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 times 16557?\nAnswer: 8841438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = -2*i + 4*p - 29, 5*i = 4*p + 919. Suppose b + 5*m = i, 0 = -8*m + 11*m + 3. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12532115 + 2?\nAnswer: -12532113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90932, -181935, -272952, -363989, -455052?\n\"Answer: -l**3 - l**2 - 90993*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8697 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-519)\/(-30) - 1\/(-2). Let x = 28\/781 - -461011\/15620. Let t = z - x. Find the common denominator of 49\/6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 207 = -5*d - 3*w, -76 = -2*d - 3*w. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-2)*(-1)\/1. Calculate the common denominator of s\/(-6) + (-24)\/12 and 85\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302256.\nAnswer: 2, 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1134*s - 30 - 1134*s + 9325*s**3 - 39*s**2 + 159 wrt s?\nAnswer: 55950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-70) + (-197)\/(-7) + -3. Solve 15 = -a*l + 23*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18\/7 (b) -0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, -0.0601, -5 in decreasing order.\nAnswer: 2, 1, 0, -0.0601, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570575886.\nAnswer: 2, 3, 67, 1153, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-70))\/((-2)\/4). Let q be -1*(i - 540\/25). Which is greater: 22 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:10 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298298273*j**3 - 5*j + 10247992 wrt j.\nAnswer: 1789789638*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2436969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 7*p**2 - 2*p - 5. Let d be ((-54)\/12)\/((-3)\/(-4)). Is t(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3867 - -27?\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*z**3 + 173*z**2 + 176*z**2 - 559*z**2 - 17*z**3 + 210*z**2.\nAnswer: -606*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.53, 4387, 4, -0.2 in increasing order.\nAnswer: -0.2, 1, 1.53, 4, 4387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(300) + 0)**2 + 3 + -1*sqrt(300) + -4)*-5.\nAnswer: -8970 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4075 is divided by 96.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16. Let a be 30 + x\/(-1) + -1. Calculate the remainder when (a - -6)*7\/5 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 = 7*u - 346 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 684803.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + h + 3*h**2 + (h + 27*h + 4*h)*(-2*h + 0 + 0) in the form l + k*h + m*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27260 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (2 - (3 + 0)). Let p(x) = 3*x**2 - 6*x + 6. Let s be p(y). Let u = 46 - s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -109\/6*f**3 + 0*f**5 + 0*f**4 + 0 + 0*f + 0*f**6 + 136*f**2 + 101\/70*f**7. What is the first derivative of t(c) wrt c?\nAnswer: 1212*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446393.\nAnswer: 509, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -32. Suppose -l + q = -10 + x, 4*l - 3*q = 22. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z + 2 = 0, z = 4*o - 0*z - 6. Solve 0 = o*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-125)*5)\/(4\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**37*a)\/(a**(10\/3)\/a))\/(a**(2\/37)*a**(-4\/5)*a))**16 assuming a is positive.\nAnswer: a**(-333776\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**(-5\/2)*t))*t\/(t*t\/(t\/((t**(1\/3)*t)\/t)*t))*t*t**(-9)*t**(6\/11))**36 assuming t is positive.\nAnswer: t**(-2886\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1 = -4*k, 2*l - 13266*k + 2 = -13262*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 - 810*u**2\/11 + 66500*u\/11.\nAnswer: -2*u*(u - 70)*(u + 475)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 357205419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from yjjwwayjwyyyyyyyyjy?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -423.8 + 438. Let l = 34696982 + -34696996.199899. Let d = l + n. Round d to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 745150, 1490491, 2236020, 2981737, 3727642, 4473735?\n\"Answer: 94*d**2 + 745059*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 2. Let x(h) = 3*h + 1. Let w(i) = l(i) - 2*x(i). Let n(g) = 2*g**2 + 124*g + 4. Calculate n(w(s)).\nAnswer: 2*s**2 - 124*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*(l*l**6\/l)\/l)**(-44) assuming l is positive.\nAnswer: l**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*i = -637259, -3*r + i - 216885 = -694813. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1372 + 269 + 2748)*(2*z**5 + 2*z**2 - 2*z**2 + (z**2 - 2*z**2 + 2*z**2)*(2*z**2 + z**3 - 2*z**2)).\nAnswer: 4935*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*p**3 - 132*p**3 + 269*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 2*r - 2*r + (-3 + 3 - 2)*(4*r**4 - 2*r**4 - 4*r**4) + 4 - 4 - r**4 + r**4 - r**2 + 10*r - 16*r + 2*r.\nAnswer: 7*r**4 - r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443 - 20?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994809 is divided by 331569.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w. Let a(m) = -32*m**2 - 2*m - 4. Let i(r) = -95*r**2 - 5*r - 11. Let t(f) = 11*a(f) - 4*i(f). Give k(t(q)).\nAnswer: -140*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-2 + 4)) + -1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/30850 and -45\/2468.\nAnswer: 61700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269187 is divided by 506?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1791400 to the nearest 10000.\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 - 6. Let f(y) = 20*y**2 - y - 17. Determine -6*f(k) + 17*x(k).\nAnswer: -k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.595652 microseconds in seconds?\nAnswer: 0.000007595652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let o(x) = x**2 + 5*x - 5. Let j be (-9)\/(18\/8) - 0 - -6. Suppose w + 3*y + 4 = 0, -y = j*y + 3. Determine w*o(d) + 3*i(d).\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k - 1. Let f(z) = 8*z - z - 1 + 7*z - 23*z. Let i(v) = -v**2 + 5*v + 1. Let t be i(4). What is t*f(d) - 6*n(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/5))**5*(p*p**1\/p)**(2\/99))\/((p**(-2\/9)\/p)**(-21))**(-2\/13) assuming p is positive.\nAnswer: p**(8969\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(-2*g + 2*g - 9*g) + 25*g - 741 + 741 to o*g + p and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4111.3 + 2157.6. Round c to the nearest ten.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3 - p + 75. Let s = -93 + 94. What is m(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {x: 3, b: 3, f: 1, s: 1, l: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 735, 736, 737, 738?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 3*i - 1. Let z be o(3). Let j(c) = -7*c**3 - c**2 - 2*c - 2. Let u be j(z). Let n be (-18006)\/9 + 4\/u. Round n to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 0, 2*s - 371 = -5*n - 2*s. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115207 is divided by 293.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**3 - 13*h**2 + 1\/270*h**5 + 0*h - 1\/1890*h**7 + 0*h**4 + 1\/1080*h**6 + 0. Factor k(d).\nAnswer: -d**2*(d - 2)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-410)\/(-40) + -11 - 175\/(-4). Suppose 0 = 4*d + 12 + 152. Let h = d + l. Solve 4 - h = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.9965357km in nanometers?\nAnswer: 996535700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 + 1\/12*c**5 + 4*c**2 + 1\/12*c**4 + 1\/120*c**6 - 1\/3*c**3 + 0*c. Give s(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d - 8. Let t be (-3)\/15*d\/(-279)*2. Let s be 3\/(-9) - (-2)\/6. Is s bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 75, 56, 37, 18, -1?\n\"Answer: -19*l + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 9 = 4*c - y, -4*y = 2*c - 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -159. Let j = o - -27.2. Which is the smallest value? (a) 2\/5 (b) j (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4 - 4. Let c(g) = -g + 2. Let n be c(4). Let m be -10*(3 + (-7)\/2). Sort n, m, y.\nAnswer: n, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1041, 1033, 1025?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -16*i + 55. Let f be w(-18). Let q = -333 + f. What is the greatest common factor of 70 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/169316 and -151\/12?\nAnswer: 507948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 711058 + -430949. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*j + 23*j - 2740 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142989 is divided by 45004?\nAnswer: 7977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*40*(-270)\/2100.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01710867 rounded to five decimal places?\nAnswer: 0.01711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -6*b + 65. Let w(q) = q**2 - q - 1. Let v(t) = -5*t**2 + 11*t + 7. Calculate b*w(i) - v(i).\nAnswer: -i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*3500\/(-3750)*40\/(-14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 2*o**3 + 0*o**3 + (5 + 11 - 4)*(-o**3 + 2*o - 2*o) - o**3 - 2*o**3 + 5*o**3 - 2 - 132*o + 5*o**3 + 132*o.\nAnswer: -4*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -773 + 799. What is the closest to -1 in -2\/9, r, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from {f: 10, c: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2 and -27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.51 times 868.31\nAnswer: 2179.4581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283606, 21, 3, 1 in increasing order.\nAnswer: -283606, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*q**2 - 35*q**2 + 4*q**3 - 2 + 2 in the form g*q + w*q**2 + r*q**3 + b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131201426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -14 - 154. Let d be 4*(l\/8)\/(-7). Let r(a) = -a**2 - 5*a - 3. Give r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*h = 72. Suppose h*a - 165 = 99. What is the greatest common divisor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -2, -2.82, -11, -0.5 in increasing order.\nAnswer: -11, -2.82, -2, -1, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 151201503 (base 6) to base 4\nAnswer: 23333010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.037781 times 4?\nAnswer: 8.151124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 1. Let s = -0.6 - -0.1. Let t = u + s. Which is smaller: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let c be 2010\/(-210) - 4\/(-7). Let a(i) = -5*i**2 - 4*i. Let b(m) = -2*m - 8*m**2 - 3*m**2 - 7*m. Let d(w) = c*a(w) + 4*b(w). Determine x(d(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 17.6?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -212, -272, -352, -452, -572, -712?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7\/6 (b) -3\/7 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 1130?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -58, -77, -92?\n\"Answer: 2*z**2 - 29*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 8*z + 4*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3\/2*w**2 - 3 + 3*w. Differentiate m(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 116.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 25*b**2 - 25*b + 31. Let k be g(-26). Suppose 4*h + 5*a = 9*a + 104, a - 160 = -k*h. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1460805570 and 1080.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 5:30 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*j - 28, -3*f - 65 = -5*f - j. Let s(i) = 2*i - 38. What is the remainder when f is divided by s(29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 116. Which is the closest to u? (a) 0.1 (b) -0.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2125984517 from -22550.\nAnswer: -2126007067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61888 - -89988. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 181960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**2 + 527*v**2 - 62*v**2 + 150*v**2. Let n(f) = 3*f**2. Give a(n(p)).\nAnswer: 5445*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -2\/3, -4, -5 in ascending order.\nAnswer: -5, -4, -3, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**5 + k**3 - 1. Let b be -1 + 5 + (-1)\/(-1). Let a(u) = -u**2 + u**4 + 5*u**3 + u**b - 2*u**3 + 0 - 2. Let j(q) = a(q) - 2*p(q). Factor j(t).\nAnswer: -t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 4 - (-18 - -14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgggzgzzggz. Give prob of picking 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 21. Let m(x) = -18. Let d(b) = 6*m(b) + 5*u(b). Let p(t) = t + 12. Determine 9*d(s) + 2*p(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/8 + 10 + (-94)\/(-12). Let t = 33 - 33.52. What is the fourth biggest value in -0.2, 0.5, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r\/(r**(-1\/3)*r*r)))\/r)*r)\/r*r**14*r\/r**(-8\/3)*r**(-1))**(2\/37) assuming r is positive.\nAnswer: r**(36\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j - 2*j**2 + 8*j. Let a(l) = -l**2 - l - 1. Let o(y) = 20*y**2 + 10*y + 10. Let m(z) = 20*a(z) + 2*o(z). What is s(m(x))?\nAnswer: -800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6826)\/(-8) + 38\/(304\/6) and 854?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -11. Let s = 11.1 + -81.1. Let m = 72 + s. Which is the biggest value? (a) 1 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 41*t + 4*t**2 - 10*t**2 + 4*t**2 to h*t**2 + g + b*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1758 (base 10) to base 5\nAnswer: 24013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13*v - 9486 = 0. Suppose 0 = 5*c - v + 144. Calculate the greatest common factor of 52 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*j - 10. Let z(t) = -t - 13. Let n be z(-16). Suppose -j*a + 3*c = a - 188, 2*c + 112 = n*a. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-615)\/21 - (-22)\/77). Suppose 1858400 = 13*u + l*u. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - sqrt(720)*-1)*-1)**2 + (sqrt(720) + 0 + sqrt(720))*-6 + 1 + (sqrt(45) + 6*sqrt(2205))\/((sqrt(189)\/sqrt(7) + sqrt(27))\/sqrt(3)).\nAnswer: -245*sqrt(5)\/2 + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y + 4. Let z be (3\/6 + -2)*y. What is the third biggest value in -2\/15, -3\/2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 171*n + 6. Determine a(-57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49262593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302*b - 2354*b + 7215 = -4545*b for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.5. Let i = -5.0539 - -0.0539. Sort g, i, -4, -10 in descending order.\nAnswer: g, -4, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 1. Let p(u) = 0*u**3 - 8*u**3 + 2*u**3 + 2*u**3 - u**3 + 2. Determine -2*l(i) - p(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + 36*x**3 - 71*x**3 + 37*x**3 + x to h + j*x**3 + p*x**2 + y*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3\/2*v + 9 - 3\/2*v**3 - 6*v**2 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -33*w + 4. Let v be s(0). Let l = -59202 - -2071887\/35. Let j = 38\/7 + l. Which is the closest to -2\/13? (a) -0.4 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8336 and 375656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84072674.\nAnswer: 2, 7, 6005191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239\/20 + -145\/12. Which is smaller: 18\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4279 + 10172 = 265*j - 15229 for j.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 143\/3. What is the nearest to f in -1, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.4, -2\/5, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 334*w - 334*w - 339*w + 1007*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*y**2 + 1564*y + 896.\nAnswer: 4*(y + 32)*(12*y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 3640 = -0*q. Find the common denominator of 47\/8 and q\/21*14\/(-48).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -15, 28\/23, -2\/13, -0.07, -1\/5, -27?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2))\/((-4)\/108). Let z = i - 9. Let w = 10 + -7. Solve 3*x - z + w = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14 = 19. Let n(g) = -2*g - 8. What is the smallest common multiple of n(d) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 2dc689?\nAnswer: -2dc685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t - 9*t + 6*t)*(-4*t**3 + 2*t**3 + 5*t**3) - 4*t + 2*t**4 - 2*t**3 + 4*t.\nAnswer: -55*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346429669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1055*g*m*o*y**3 - 339*g*m*o*y**2 - 19971*g*m*y**2 + 2*g*o*y + 5694*g*y**3 wrt y.\nAnswer: -6330*g*m*o + 34164*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8*b = 0. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9657\/(-609))\/(48\/(-112))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 213 + 381 = -66 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*y**3 - 13*y**3 - 2.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -5)*(-3 + 2). Suppose 3*f - 4*f = o. Which is the smallest value? (a) f (b) 0.5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 3*l + l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945.7 rounded to the nearest ten?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 17 = 5*n, -1 = 4*n - 3*w - 14. Solve 1\/2*d**3 - 1\/2*d + 0 + 7\/4*d**2 - 7\/4*d**n = 0 for d.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*i - 6*i + 9*i + (-2*i - 2 + 2)*(4 - 4 - 1))*(4 + 1 - 1)*(2*i**2 + 3*i**2 - 3*i**2) to the form q + d*i + m*i**3 + c*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzkn when four letters picked without replacement from zuntktt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x**4 - 3)*(-3*x + 4*x - 3*x) + (3*x**3 - 6*x**3 + 0*x**3)*(-15 + 8 + 2101*x**2 + 7).\nAnswer: -6299*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -65, -75, -89, -107?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1\/(4 + -2). Factor 5*w - m - 3*w**2 + 0 + 0 - 9*w.\nAnswer: -(w + 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605425334.\nAnswer: 2, 9413, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nns. What is prob of sequence nns?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - p - 22 - 16 = -51, -5*l + 2*p - 8*p + 19 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(6)\/sqrt(3) + sqrt(2))**2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25656 is divided by 6407?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 25*x - 25*x - 17*x**3.\nAnswer: -17*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 4*c - 4. Let m be j(5). Solve -3*x = -2*x + m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nooo when four letters picked without replacement from nnofnnonnnnooonno?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3489*k + 3484*k - 104 = p, -4*p - 176 = 8*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 - n**2\/2 - 2*n + 8. Factor d(a).\nAnswer: (a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:18 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h - 13 + 598 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64538627 and -0.8116574.\nAnswer: 64538626.1883426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294838 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -27*t**3 - 2*t**2 - 193*t - 194. Let m be d(-1). Suppose 4*w - 3*w = 2*q - 11, 2*w = -5*q + 32. Solve -14*i = -q*i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**3 - 13*b**3 - 4*b**3 + b**2 + b**3 - b**2 + (b**2 + 0 + 0)*(-3*b + 3*b + b) + 5*b**3 - b**3 - 3*b**3 + (7*b**2 - 4*b**2 - b**2)*(-5 + 5 - b).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11130116 (base 7) to base 12\nAnswer: 3a6728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/3 (c) -15 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -2, -5, -501 in descending order.\nAnswer: -2, -5, -59, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k + 15. Let u(g) = 17*g - 8. Let z(f) = -3*a(f) - 7*u(f). Is z(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 7*u - 6. Let a be c(-8). Let d(b) = b**2 + 7*b + 7. Let j be d(-7). Solve a*g = j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175)*3 + -3 + 1*-1*sqrt(7))**2.\nAnswer: 96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 + 56*u**3 + 588*u**2 + 2744*u + 4802 = 0. Calculate u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 34*q**2 - q. Let z be w(1). Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642110 = -98*r + 108*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74389\/23606 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose p - i*p = 0. Let n(q) = -q**2 + q + 11. What is the tens digit of n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 6*sqrt(833)*2 + 3 + 0)**2.\nAnswer: 546*sqrt(17) + 140786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - m - m = 19, 23 = 5*v - 4*m. Which is the second biggest value? (a) v (b) 1\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 468*p**3 + 10*p + 16*p**2 - 9*p**2 - 19*p**2 + 3*p**2 wrt p?\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwffwfwwww. Give prob of sequence wwfw.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -1426, -3\/7, -12, -2.4, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 24*u = 4 + 40 - 11, 0 = 2*a + 3*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6. Suppose n = 3*t - 5*t. Solve -w - 1 + 0 = t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 5. What is w(-24)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 5. Let u be k(0). Let y be 3\/u - (-35)\/(-25). Let a = -3.6 - -4. Sort y, 4, a in increasing order.\nAnswer: y, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*n - 41, -3*f - n + 69 - 25 = 0. Let a = f + -11. Differentiate 6*g**a - 5*g**4 + 2*g**4 + 3 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, q: 4}. What is prob of picking 4 g?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:38 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnmfzznm. What is prob of sequence njmf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00307258 to five dps.\nAnswer: -0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 93.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 12*g**2 + 33*g + 7. Let s be h(-2). Let r(v) be the second derivative of -v**3 - v. What is r(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6936534 or -6936536?\nAnswer: -6936536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4122704 and 81\/28858928?\nAnswer: 28858928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 24*v + 5*h + 162, 0 = 5*v + h - 836. What is the remainder when v is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5382, 10763, 16152, 21549, 26954?\n\"Answer: 4*l**2 + 5369*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -o + 5*c, 5*o = -2*c + 3*c + 32. Suppose -2*v = -4*v + o. Suppose -3*m - 18 = -v*y + 30, -2*y + m = -32. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose 2*b + 2 = -t. What are the prime factors of b\/(-10) + 44\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4) + 4\/(-64)*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/75? (a) 1274\/15 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156982960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2666*x + 1026388. Give h(385).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -54281209.67 to the nearest 10000.\nAnswer: -54280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d + 303. Let b be x(25). Suppose -34*g + 3300 = -b*g. Is g greater than 551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 17495733.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*x**3 - 87*x**2 - 209*x + 5?\nAnswer: 192*x - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 60 = 12*b. Find the third derivative of 2308 - 16*l**6 - 2308 + b*l**2 wrt l.\nAnswer: -1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1.54. Let l = 0.14 - p. Which is the biggest value? (a) l (b) 2\/31 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 7*j - 8. Let h be x(-10). Let w = h + -67\/3. Let g = -41 - -37. Which is the nearest to w? (a) -0.4 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -110. Suppose v + 171 = -5*y + 2*j, -5*j = -5*y - 205. Let b = 65 + y. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - r + 2*r - 3, 0 = 4*x - 5*r + 17. Solve -8 = -z - x*j, 2*z = -3*z - 5*j + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-1)\/(-1) + 3. Suppose u*y = -y - 1. List the prime factors of 476\/21 - y\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbuu when four letters picked without replacement from {u: 5, b: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*a**2 - 161*a**2 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 6. Let z(m) = -5 + 5*m - 4*m - 4*m. What is -2*h(o) + 3*z(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56329 is divided by 4693?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -10819888.361 and 2.\nAnswer: -10819886.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5920 is divided by 2861.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -14. Suppose c = 3*p - 4*p + 2. Let h(b) = -6*b**p + 7*b**2 - 10*b**2. Let q(j) = 2*j. Determine h(q(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/40)\/((-2)\/95). Suppose 2*j - 8 = r + 19, r = -3*j + b. Suppose j = -4*a + 121. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/2)\/(3 - 9 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 + 872276*y**4 + 6978376*y**3 + 19190680*y**2 + 20935356*y + 7850772 = 0. Calculate y.\nAnswer: -3, -1, 218077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 11 - 223. Suppose -s - 14 = -q - 0*s, -5*s = -4*q + b. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*d + 24 = d, -2*d - 13 = 3*q. Let h = -2 - q. Solve 20 = -7*a + h*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1647.999995101 + 1648. What is c rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507 less than -505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2173\/12 + -181. Let l = 35.9 + -38. Let v = l + 2. Which is the nearest to v? (a) d (b) -1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 1338*i**2 - 9473*i - 207643. Calculate s(-1331).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 5)*-2*-3)**2.\nAnswer: 720*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008 a factor of 10957872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3933*v - 70841 + 3933*v + v**2.\nAnswer: v**2 - 70841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10545053807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*2*sqrt(130) - -6*1*sqrt(130))\/(5*sqrt(160)\/sqrt(4)).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49535.83 millilitres in litres?\nAnswer: 49.53583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4\/(0 + 2). Let h = -0.35 + -0.03. Let c = h - 0.62. What is the nearest to 1\/5 in c, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 226611.5t?\nAnswer: 226611500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-6)\/27). Let f = u + 2. What is the first derivative of 2 - f*l**3 + 4*l**3 + 3*l**3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 47, -5 in increasing order.\nAnswer: -5, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 3. Suppose 4*c = -5*v + 65, -v - 23 = -3*v - c. Suppose u + n = -n + v, -4*n + 20 = 0. What is the closest to u in -2, -3\/4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:31 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 29. Let s(u) = -u**3 - 2*u**2 + 20*u + 52. Let q be s(-4). Let d be l(q). Let o(p) = -p**3 - 9*p**2. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (351\/65 - 6)*20\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqnq. Give prob of sequence nq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 69?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 3*v**2 - 5*v + 3. Let p be x(4). Let o(g) = 16*g - 2. Let f(h) = 47*h - 5. Let l(z) = -3*f(z) + 8*o(z). Is 12 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q**(-24)))\/q**(-2))**19)**8 assuming q is positive.\nAnswer: q**3800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1227.223684 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.6 and -10390380.\nAnswer: -10390385.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-20))\/(12\/(-8))*6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -22, 39, 32, 19 in ascending order.\nAnswer: -22, 5, 19, 32, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*o - 42*u + 39*u, 4*o = -5*u + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 + -121. Let u(f) = -f**2 + 101. Is 8 a factor of u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 17 - -2 - -2 - 150\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(7) + 1)*6 + 5)*-3.\nAnswer: 186 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/3983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4 = -4*b, -647 = -3*s - 5*b - 645 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/2 - 80892171*v + 6543543329093241\/2 = 0. What is v?\nAnswer: 80892171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 368\/9 + -41. Suppose 4 = n + 3. Is c equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115060322 a multiple of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 1 - 1)*(-89*n - 36 + 664*n + 79*n) as h*n + s*n**2 + k and give s.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.122 - 7.422. Let a = m - -7. Let i = 4.7 - 3.7. What is the third smallest value in i, -2\/11, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180981 by 2635.\nAnswer: -180981\/2635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b + 19*b - 22*b)*(180*b - 53*b + 236*b - 1).\nAnswer: -6171*b**2 + 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/30 - 13\/60. Which is bigger: m or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d*d**(-3\/2))\/((d**5\/d)\/d*(d\/d**(-6))\/d) assuming d is positive.\nAnswer: d**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -62*d + 67*d. Let f(j) = -j**3 - 10*j**2 - 11*j - 13. Let u = 3 - 12. Let m be f(u). Solve -d*b - m = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0088\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -335456 and 1328622279.\nAnswer: 1328286823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321711 (base 8) in base 9?\nAnswer: 1162537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and 450?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7143296 * -1.1\nAnswer: -7857625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/40 + v**5\/5 + 3*v**4\/8 - v**2 - 6*v. Let q(o) be the first derivative of r(o). Factor q(s).\nAnswer: 3*s*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056 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: Suppose -92 = -0*c - 4*c. Let v = 9 + -6. Suppose -j + c = 2*m, -v*m = m - j - 43. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 24*n. Let f(w) = 8*w. Calculate 16*f(a) - 5*l(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/8319 and 73\/1593.\nAnswer: 74871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - v - 4*v + 3*v - 1. Let j(c) = -12*c - 10. Calculate j(u) - 8*x(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 - 4*g + 1277. Suppose -2*r - 4 = -s, -6*s + 4*s + 2*r = -4. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254292791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7019, 9843, 12671, 15503, 18339, 21179, 24023?\n\"Answer: 2*f**2 + 2818*f + 4199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17147541.\nAnswer: 3, 89, 64223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {v: 2, i: 9, h: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzvryg. Give prob of sequence lzzr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(1\/2)\/k))*k)**(11\/3) assuming k is positive.\nAnswer: k**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1190\/40 - 1\/(-4). What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*s + 2*n - 16, 2*n - 22 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 8) in base 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 63*b**2 + 119*b - 173. Let t be h(-61). Solve 5*d + 20 = t*d, 5 = 3*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 - 133*s + 6. Let n(m) = 12*m**2 + 399*m - 17. Give -6*n(v) - 17*t(v).\nAnswer: -4*v**2 - 133*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 121f (base 16) to base 8\nAnswer: 11037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6909 and -61\/120.\nAnswer: 276360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -3, 52, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/180 and 41\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + t, -30*d = -26*d - 2*t - 4. Let a(l) be the first derivative of 8*l**2 + 0*l - 19\/3*l**3 - d. What is the second derivative of a(f) wrt f?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212259 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 b when three letters picked without replacement from vjibtvit?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*x - 2*r + 42, 4*x = -4*r + 40. Suppose -x*v = -2*v. Suppose v*m = -2*m. Solve 5*k + 24 = -z, -2*z + 4*k + m = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 - 0.22. Let g = 2.09 - -1.36. Let t = 0.55 + g. Which is the nearest to d? (a) t (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/4)\/(84\/(-1632)) and (-122)\/28*((-34)\/(-12) - 4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 + 2*w - 2. What is p(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 51*q - 24. Let i be o(26). Factor -5*n**i + 12*n - 10*n**2 + 18*n**2.\nAnswer: 3*n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 5 (b) 11 (c) 1\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5120)\/(-1152)*(8 - 75\/10)*-3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2 - (4 - 14) - 3) + 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 30 = -106*w - 160 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10 and 77\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 3*d - 48. Let x be o(0). Is 18 a factor of ((-12)\/(-5) + -2)*(1482 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4*r - a**2*r - 3*a*r**3 + r**3 - 5 with respect to a.\nAnswer: 8*a**3*r - 2*a*r - 3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 245212, -3 in decreasing order.\nAnswer: 245212, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42098*g*r**3 + 3855*g*r**2 - 3*r**3 - 17*r wrt r?\nAnswer: -252588*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*n - 3060*n - 7*z = 9, -n - 1 = -2*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.22. Let g = -34 + 1. Let d = g - -31. What is the nearest to f in -4, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (37 + -18 + 32)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232213339 rounded to the nearest ten thousand?\nAnswer: 232210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 325915547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/41280 and -31\/6720.\nAnswer: 288960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 26*y**2 - 13*y + 17. Is p(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/12 - 9*l**2\/2 + 202*l. Suppose -2*p - 4*a + 14 = -5*a, -14 = -3*p + 5*a. Is 14 a factor of c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m**2 - 2*m + 3. Suppose -32 = -4*z - 4*p, -3*z - 5 = -2*p - 4. Give y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/4)\/((-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457039\/20 less than 122853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 626164*k**3 - 3*k**2 - 386292*k wrt k.\nAnswer: 3756984*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-14 - -13) - (13 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14116 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1870684\/927 - -2018. Is -1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 954 and 1060?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 + (-12)\/((-9)\/(-3)) is divided by 6\/(-45) - (-1936)\/120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -14.7. What is the closest to -4 in n, -2\/7, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -481 (base 12) to base 6\nAnswer: -3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*y - 12 = 0, 13*y = 5*d + 9*y - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1934, 5, 1\/6, 0.5, -72\/49 in descending order.\nAnswer: 1934, 5, 0.5, 1\/6, -72\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 29*v = 68. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22227116 a multiple of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7211, -7264, -7363, -7532, -7795, -8176, -8699?\nAnswer: -9388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -3\/2*u**3 + 7\/12*u**4 + 0 + 41*u**2 + 0*u. What are the prime factors of j(8)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 15*z**2 - 47*z - 151. Determine j(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = i + 15, -m - 4*i + 15 = 19 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(((330\/12)\/5)\/(-1))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 32*q + 584. Let y(x) = 8*x + 151. Calculate -4*v(b) + 15*y(b).\nAnswer: -8*b - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiooeeoeisnionoe. Give prob of sequence oe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 956169 and 9432.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 881911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 3*r)*(-1 + 5*r + 3*r - 9*r) + 16*r**2 - 3*r**2 + 2*r**2.\nAnswer: 13*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/859719 and -17\/192.\nAnswer: 55022016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*y + 3213 = -32*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451*l - 729*l - 8873*l - 1434*l.\nAnswer: -9585*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1360230?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010111 - -101?\nAnswer: 11100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 11*r - 7. Let m be d(-10). Suppose -f + m*f = 56. Let n = 1 + f. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.9 and 177.58.\nAnswer: 186.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = -y, 3 = 3*h - 5*y - 0. Let o be (-5)\/(-3 - 10\/(-2))*2. Sort h, 1, o in decreasing order.\nAnswer: 1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 2 - 2*d + 5.\nAnswer: -8*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/(-20)*(-28)\/(-6). Let x = z - -44. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -125*(-4 + 2)*(1 - 0). Find the first derivative of -4*r**2 - v + 139 + 4*r**2 - 50*r**3 wrt r.\nAnswer: -150*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)\/h)**(-11)\/(h**(3\/7)*h*(h**(-4)\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92116 and 220.\nAnswer: 5066380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*b - 43*b = -52 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.8 + -0.8. Let j = 43.809 - -0.191. Let z = j - h. Which is the second biggest value? (a) -4 (b) z (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000960434 rounded to seven dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 46*p + 32 - 15*p - 11*p.\nAnswer: -p + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + k = -302 - 167, 2*k + 473 = 5*c. Let q = c + -58. Suppose p - u = q, 3*p = u - 2*u + 121. What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 - (-77 - 31) - (-154 - (1 + -3)).\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 4*o - 4*s - 29, 3*o + 93 = -3*s. Put 7, -2, o in descending order.\nAnswer: 7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -97. Calculate the remainder when y is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 12*l**2 - 19*l - 8. Suppose 90 = -d + 7*d. Is n(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -445347 or -445350?\nAnswer: -445350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let o(d) = d**3 - 3*d**2 + d - 2. Let b be o(v). Is (-2)\/(b\/(-307)*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 7. What are the prime factors of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (35 - (-10 - (15 - 17)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -584, -1166, -1748, -2330?\n\"Answer: -582*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2867*z**2 - 15526*z**2 - 1 - 7189*z**2)*(0*z + 0*z + 2*z).\nAnswer: -39696*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266258?\nAnswer: 2, 3, 7, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 18. Let x be v(20). Let d = -94 - x. Let t(b) = b + 22. What is the tens digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let q(n) be the third derivative of -n**5\/40 + n**3\/6 - 5*n**2. Let a(v) be the first derivative of q(v). Determine a(d(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 17*u + 35. Is 10 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 34. Let y be h(-5). Let j be (8\/(-232))\/(y - 3). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56551317 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 195001*h**2 + 28519140001*h - 85556835001\/3.\nAnswer: (h - 292501)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 622 - 626. Put -5, -12, u, 5 in increasing order.\nAnswer: -12, -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3212 - 3195 = d, 4*d - 56 = -4*a. Solve -d*g + 13 = 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 7*a**2 + 2*a + 8. Suppose 3*y = 6*y + 24. Is 14 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10328, -10243, -10080, -9803, -9376, -8763, -7928?\n\"Answer: 6*s**3 + 3*s**2 + 34*s - 10371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20776)\/7632*(-30)\/14. Let s(o) be the third derivative of -a*o**3 + 0 + 0*o - 23*o**2 + 1\/20*o**6 + 0*o**5 + 0*o**4. Differentiate s(d) wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 - c + 96. Let h be d(0). Suppose 5*z - 129 = -4*i, 3*z + z = -3*i + h. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 160950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 103 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a + -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694279\/6 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 546, 822, 1098, 1374?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-3*z + 3*z + 2*z**2) - z**2 + 2 + 2 + 5.\nAnswer: z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092859 is divided by 1386.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = d - 2, -d - d - t - 2 = 0. Let a = -55 + 60. Differentiate 3*j**4 - a + d*j**4 - 2 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.2 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -827235 or -827233?\nAnswer: -827233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 12*q - 6. Let p(v) = -4*v**2 - 25*v + 13. Let g(o) = 6*p(o) + 13*r(o). Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-42)\/9*(-18)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, -4, 1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -35\/3258?\nAnswer: -35\/3258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/84 and 127\/834444.\nAnswer: 5841108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-5)\/(-2)*(-120)\/(-50))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1111111100110100100100 (base 2) to base 16\nAnswer: 3fcd24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-5) + -2 + -1 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 5, 2\/15, 0, -4 in ascending order.\nAnswer: -4, -4\/15, 0, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*d**2)*(1 + 1 - 1) - 96*d**2 - 1411 + 1411 in the form r*d + i*d**2 + n and give i.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 36*u**2 + 40*u + 120. Let v be q(-37). Solve 0 = v*z - 682 + 745 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -34, -25, -16?\n\"Answer: 9*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 8) + 12 + -2 + 36 + -6 + 6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvgggivvvggiwgggvxgg. Give prob of sequence igvv.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70704063 to the nearest integer?\nAnswer: 8409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8027 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-316 - -290) + (41 - (-8 + 7)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2356123?\nAnswer: 2356125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*((-2)\/(-1) - (8 + -7)). Suppose 0 = 31*q - 35*q + a. Let z(g) = 2*g**2 - 6*g + 14. What is the remainder when 197 is divided by z(q)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + -12. Let y = h + 62. Which is smaller: y or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34337980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2. Let y(v) be the first derivative of 0*v - 5\/2*v**2 + 3. What is y(w(g))?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-12)\/72 - (-2 - (-550)\/30))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-7)\/((-28)\/(-12))). Suppose m = -3*p - 4*b - 34 - 67, 2*p - 3*b = -90. Let a = 42 + p. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 23 + 23)*(-319 + 381 - 2*h**2 + h**2).\nAnswer: -6*h**3 + 372*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*2 + sqrt(1300))*-2*5)**2 + 0 + 1.\nAnswer: 1170001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - h - 5 = 0, -2*g + 5211*h = 5206*h - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i. Let u(h) = 4*h - 22. Determine u(y(q)).\nAnswer: 76*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 11 - (-14244)\/150) + 30\/750\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + b**3 - 5*b**3 + (-2*b + 2*b + b**2)*(b - 3*b + 0*b) + 2*b - 2*b - b**3 + 3*b**3 + 0*b**3 - 4*b**3 - 2211*b**2 - 15*b**3 + 4502*b**2 - 2217*b**2.\nAnswer: -21*b**3 + 74*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51\/5 + 148\/15. Suppose -5*l + 15 = -2*g, 3*g - 9 = -l + 11. Sort 2, q, l.\nAnswer: q, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 2, p: 3, q: 3, d: 5}. Give prob of sequence qd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 - 1. Let y(r) = r**2 + 6*r + 2. Let d = -13 - -7. Let z be y(d). Let f(x) = -2 + 2 + 0 - 1 + 6*x**z - x**3. What is -5*f(q) + 6*o(q)?\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(7\/(-294) + (-2)\/14). Suppose -5*m - 13 = -2*y, -y - 3*m = -0 - 1. Solve z*h + 10 = -2*g + 4, 0 = y*g + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819170897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 164164580 divided by 34?\nAnswer: 4828370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1583*k + 4749. Let p be c(-3). Find g, given that -52\/7*g**2 - 8\/7*g + 48\/7*g**4 + p - 68\/7*g**3 = 0.\nAnswer: -1\/3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyro when four letters picked without replacement from romyor.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + 3*w**2 - 4*w + 1. Let z be b(1). Solve 0 = z*g - 2*p - 8, -4*g - 2*p - 8 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202124402 (base 5) to base 8\nAnswer: -12443252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 3de?\nAnswer: -3de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13147118 to the nearest integer?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 29475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 3. Suppose 0 = -4*a + 2*a + 6. Suppose -3*m - 6 = -5*h - 30, -4*h - a = 3*m. What are the prime factors of i(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*1*(-21)\/(21\/(-134))?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 3134270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 + -383. Let w = g + 88. Let m = 97 - w. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3539.3 and 0.1545.\nAnswer: 3539.4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 486 = -5*u. Let v = u - -64. What is the least common multiple of 18 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85939 litres in millilitres?\nAnswer: 1859.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/238 (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + 9.86. Let h = 18 - p. Let q = h + -4. Which is the third biggest value? (a) q (b) -0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3403, -2990, -2577, -2164, -1751?\n\"Answer: 413*z - 3816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756.2036 millennia to years.\nAnswer: 756203.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117942 > 117942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-12)*(2 + 6\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2412*-10457\nAnswer: -2522.2284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 15 = 5*o. Solve 16 = o*a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 + 7*k + 21. Calculate the smallest common multiple of 21 and a(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18*0\/((-1)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5\/11 - 134*a**4\/11 + 210*a**3 - 198*a**2 = 0.\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -6.3. Let i = -6 + g. Let l = 0.5508 + -0.9508. What is the nearest to i in 0.5, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 13.3. Let a = -15.7 + u. Round a to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/15*(-34)\/(5304\/60).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/6613 and 91\/34?\nAnswer: 13226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scrcrrrfssssfgss. Give prob of sequence rrr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3355 + -177763\/87230. Find the common denominator of 7\/130 and f.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117 + 164 + 32*r**2 - 177 with respect to r.\nAnswer: 64*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1088) + -3 + sqrt(1088))**2 - sqrt(1088) - (((sqrt(1088) + -4)*-1)**2 + sqrt(1088)))*-4.\nAnswer: -13048 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) - 120\/(-32). Suppose 2*s - 4*q - 6 = -64, -c*q = s + 44. Let u = 3 - s. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1896 and 1665?\nAnswer: 1052280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.1 * 0.8.\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + -2.2. Let z = 2 - p. Let d be ((-3)\/6)\/(2*1). What is the nearest to -1\/2 in -2, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5439714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca685 (base 16) in base 4?\nAnswer: -3022122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33043 take away -0.4?\nAnswer: -33042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/5))**(-3\/20)\/(r*r**(-2\/3)\/r)**(2\/59))\/(r\/r**2*r\/(r*r**(-1\/12))*r*(r*r*r\/(r**(-2)*r)*r)\/r*r**(-3\/10)*r) assuming r is positive.\nAnswer: r**(-86389\/17700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -66?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2457287*z**3 - 1228640*z**3 - 1228636*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4448, -8898, -13348, -17798, -22248?\nAnswer: -26698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-80))\/(2\/(-816)). Calculate the greatest common factor of 657 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211110212012 (base 3) to base 14\nAnswer: b7320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61621443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/7 - 72*q**2\/7 - 768*q\/7 - 2048\/7 = 0.\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7226134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2 + 19*y + 7. Let w(u) = -9*u**2 + 19*u + 3. Let z(j) = 5*b(j) - 6*w(j). Give z(-22).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/21086 and 2\/1022671.\nAnswer: 2045342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 + 26.49. Let j = -26.00074 + g. What is j rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 154. Let i = 35\/2 + -18. Which is the smallest value? (a) k (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c8a9 - -8?\nAnswer: 3c8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12352963 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(2\/9)\/l))\/l))\/(l**(-1\/17)\/l*l) assuming l is positive.\nAnswer: l**(43\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 172?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 17399545 + 1200329 = -5*j, -4*j = 2*z - 16199212. Let i = z + -5680598. What is i rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 25*t**2 - 563 + 3*t**2 + 563.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5*w**2 + 17*w - 102. Let q be (-3)\/(6\/(-12 + 0)). Calculate the remainder when s(q) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(720)\/sqrt(48))\/(-6*sqrt(48) + sqrt(12)).\nAnswer: -1 - sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 70 + n**2 - 90 + 3*n. Let s be d(4). Suppose -5*m = -i - 2 + s, i - 4*m = 1. Let g(v) = v - 1. Let q(l) = -l. What is i*q(z) - 2*g(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80937 divided by -23\nAnswer: 3519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/21)*b**17*b**(29\/5)*b**26)**(-1\/52) assuming b is positive.\nAnswer: b**(-5219\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 19 = -2*a, 3*m - 3*a = 14 + 10. Solve m*d - 5 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 - -1234412.6\nAnswer: 1234412.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006103 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 4}. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/30 + f**4\/6 + 3*f**2. Solve b(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) - (-252)\/(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744771.\nAnswer: 223, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -19*n + 568. Calculate the least common multiple of 310 and a(25).\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -598c + 34e4?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -167.2, 5, 3, 17\/5?\nAnswer: -167.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*f - 147*f + 32340 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 9526261.\nAnswer: 2\/9526261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59827475 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87218127 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5 - 15920*h**3 - 213240*h**2 - 165524*h + 394680 = 0.\nAnswer: -55, -13, -2, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 25*i**2 + 25*i - 13. Let c be -1 - 6\/((-12)\/(-50)). Let d be u(c). Let v(y) = -y**2 + 30*y - 11. List the prime factors of v(d).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 32*g - 790 = 3*v, -2*g = -3*v - 404. What is the remainder when g is divided by 178?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.229 times -4?\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -880, 3, 15 in increasing order.\nAnswer: -880, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l + 7. Let h(m) = 2*m**3 - 70*m**2 - 33. Let d be h(35). Let k(s) = -5 + 12*s + 45*s - 4 - 40 - 8. Calculate d*t(a) - 4*k(a).\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 85 = 5*q, q - 4*q + 2*s + 35 = 0. Calculate the remainder when 149 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 4*w + 2 + 22 = 0, -446 = 2*a - a - w + 18*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose 0 = t + 5*a + 1, 0*a + 7 = t - 3*a. Solve -i = -t + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 2*s**2 - s**2)*(-16 - 43 - 17)*(1 - 1 - 2)*(3 + 2 - 4)*(-160*s - 130*s + 8*s) as x*s + g*s**3 + h*s**2 + w and give g.\nAnswer: 42864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 - 11*m - 7. Calculate h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -82. Which is the second smallest value? (a) x (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 26307.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(11) + 3)**2 + sqrt(11) + (sqrt(275) - (sqrt(275) - (0 + sqrt(275)))) + ((sqrt(891) + 2*sqrt(891) + sqrt(891))*-5)**2*3.\nAnswer: -18*sqrt(11) + 1069385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3546 and 1644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786245.\nAnswer: 3, 5, 119083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.2 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -0.0966, -3, -33?\nAnswer: -0.0966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11135, 11121, 11089, 11033, 10947, 10825, 10661, 10449?\n\"Answer: -a**3 - 3*a**2 + 2*a + 11137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334499 is divided by 11946.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 37, -66, -261, -578, -1047, -1698?\n\"Answer: -5*c**3 - c**2 - 3*c + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -28*d - 24. Let l be j(-2). Differentiate 2656*g + 40 - l*g**3 - 2656*g wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/228821 and 45\/70028.\nAnswer: 390826268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + 1.41. Let u = z + -2.6. Let x = 1280.049 - 1280. Do x and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215470 (base 10) in base 9?\nAnswer: -357511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:14 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (91\/(-26))\/((-1)\/4). Let l(r) = -18 + 6*r**2 + 10 - p*r**2 + 17*r**3. Let i(f) = -6*f**3 + 3*f**2 + 3. What is -8*i(n) - 3*l(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woj. What is prob of sequence wj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -48. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 0 + 0 + (6 - 5 - 211*o**2 + 191*o**2)*(-o + 2*o + 2*o) + (-o + 2*o + o)*(2*o**2 + 0*o + 0*o) as m*o + s*o**2 + x + n*o**3 and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 171 + 8 + (-2 - 1). Calculate the greatest common factor of y and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.3. Let o = -3 + -3. Let t = 3 + o. What is the third biggest value in t, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8672\/(-70) - 6\/(-21). Let j = -509\/4 - v. Let f = 155305\/48 - 3235. Calculate the common denominator of f and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1829 + -1826. What is the fourth smallest value in 0.1, -4, -0.4, q, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18634442 divided by -9317221?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 + 7*v - 7. Let o be s(5). Let d(y) = 2 - 2*y + 4 - o. Determine d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 4 + -21 - (-14 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 14. Let s(k) = 9*k. Calculate y(s(u)).\nAnswer: 9*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**19*u)*u))*u)\/u**(2\/15) assuming u is positive.\nAnswer: u**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 7*j**6\/60 + j**4\/24 + 4*j**2. Find the second derivative of u(h) wrt h.\nAnswer: 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(9\/8))**(2\/7) assuming f is positive.\nAnswer: f**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -105, 5, 2.\nAnswer: -105, 2, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213)\/(-994)*(-35)\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 16 - 55 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -w + 38*f - 36*f, -3*w + 21 = 3*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17671 take away -3?\nAnswer: -17668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10071\/4 + 2495. Let d = 24741\/11 - 2251. What is the common denominator of d and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156122?\nAnswer: 2, 251, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = 0. Suppose -2*b + 4 = -h. Solve -3*m + 0*w = -5*w - 8, 3*m = -w + b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 6*t + 20. Let n be i(-8). Let u = n + -191. Solve 0 = -2*h + 3*x - 21, 0 = u*h - h + 2*x + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7056 and 100440?\nAnswer: 9843120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 287*x + 6. Let f = 27 - 22. Is i(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 - 91. Let r = 137 - d. What is the biggest value in 0.5, r, 0.65?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24131.8 + -24141.80003. Let u = -0.21 + 10.21. Let z = u + y. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(30) - sqrt(30))\/(3*sqrt(12)\/sqrt(2)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 71*h + 70. Let b be t(-15). What is the greatest common factor of b and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 0, 0 = -47*x + 42*x - 3*i + 733508. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 1159310226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70368 and 13536?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -8. Let k = 2906 + -2902. Sort n, -10, k in increasing order.\nAnswer: -10, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:58 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l - 3*l. Suppose 27 = l*s + 2. Suppose w = -4*t + s*w + 2800, 5*t + 4*w = 3527. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 4, e: 3, h: 1, q: 1, y: 8}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - d + 10, -3*d + 20 + 5 = 2*q. Solve -2*b + q*b - 6 = 0, -2*u - b = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-4) + -5)\/((-2)\/28). Let a(g) = g**2 + 5*g - 11. Let t be a(u). Suppose t*f - 7 = 5. Solve -2*s = f*c - 8, -1 = 4*s + 3*c - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -64*p + 7299. What is u(114)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**31*o**7\/(o**(2\/17)*o) assuming o is positive.\nAnswer: o**(-154\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 6696269*g\/3 - 6696268\/3.\nAnswer: -(g + 1)*(g + 6696268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 16 + 34 = 0. Suppose 5*u - 1806 = 4*r, -u - 4*r + n*r + 354 = 0. What are the prime factors of u?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 74. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 3*t**3 + 54*t**2 - 2*t**3 + 4*t + 35*t**2.\nAnswer: -t**3 + 89*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*v - 6690700 = 492*v. What is v rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a + 44 = 60*a. Let q be 10 + a + 8 + -2. Let t(j) = -q*j**2 + 2*j**2 + 0*j**2 - j**2. Let c(i) = i. Calculate t(c(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7047, -22837, -47367, -80637, -122647, -173397?\n\"Answer: -4370*v**2 - 2680*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 658*n**4 + 10*n**3 + n**2 - 2*n - 1422573 with respect to n.\nAnswer: 2632*n**3 + 30*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 69*d**3 - 20*d**2 + 9*d - 13. Let y(f) = -35*f**3 + 11*f**2 - 5*f + 7. Let s(i) = 6*g(i) + 11*y(i). Give s(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 3710?\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 18990*y**2 - 3766775*y - 3747780.\nAnswer: 5*(y - 3987)*(y + 1)*(y + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -287, -1541, -3631, -6557, -10319?\n\"Answer: -418*a**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 20. What is the remainder when 77 - (31 - (3 - -58)) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 11 = 4*m, 0 = -2*o - 49*m + 46*m + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/5)\/q))\/(q**(-28)\/q) assuming q is positive.\nAnswer: q**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5966 or 0.08?\nAnswer: 5966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 758 = 7*y. Let m be 1\/(-2) + 42\/4. What is the greatest common divisor of y and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 20. Suppose -3*c + y = -8*c, 0 = p - 4*c - 30. What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13585258*q**2 + 13585299*q**2 - 8*q - 4*q**3 + 0*q**3 to the form y*q**3 + i*q + n*q**2 + a and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjfjfgkxka. Give prob of sequence gffk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p + p**2 - 10 - 25*p - 19*p + 2.\nAnswer: p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (16 + -15) - (60 + -77).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3461748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-126)\/(-112539))\/3)\/(14\/(-322)).\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 21*d + 1 - 14*d**4 - 2*d**4 - 22*d in the form b*d + l*d**2 + p*d**4 + a + v*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 974*m**6 - 843*m**6 - 2444 + m**2 + 374 + 1838*m**6 wrt m?\nAnswer: 236280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -172. Suppose -11*k + 13 = -m. What is the greatest common divisor of 110 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100688254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3106706 or 3106760?\nAnswer: 3106706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 4, 3\/7, -3, 1\/15, -37 in ascending order.\nAnswer: -37, -35, -3, 1\/15, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -3*y - 4*b + 189, -y = 3*b - 140. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3685 is divided by 1228.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -1\/2, 12\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7120*o**3 + 2*o**2 - 3*o. Let c(f) = 7119*f**3 + 3*f**2 - 4*f. Let g(k) = 2*c(k) - 3*u(k). Is g(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 15, -5*h - 4*v + 2*v - 2936 = 0. Let j be 4*((1 - -4) + h\/12). Does j = -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1*sqrt(1872))**2 + (sqrt(1573) - 1*sqrt(1573) - sqrt(1573))**2 - (5*sqrt(117) - (sqrt(13) + sqrt(1300) + 1))) + -1.\nAnswer: -4*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4873 - -5074. Calculate the remainder when 3013 is divided by s.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*u - 8. Solve 2*p + 8 = u*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxxgcxmxxxccxgcx. What is prob of sequence xm?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**5\/5 + 2*v**3 + 2. Find the third derivative of o(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79400118*y**4 + 303691997 wrt y.\nAnswer: -317600472*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (252\/30)\/(-3) - (-1)\/(-5). Let o(i) = 3*i**2 + 7*i + 4. What is the smallest common multiple of o(v) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 16 = -3*n, 63*j - 60*j + 5*n = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 291.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 1332. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) - (-4)\/18. Let o(r) be the first derivative of 0*r**3 + m*r**4 - 1\/5*r**5 + 3 - 1\/2*r**2 + 0*r. What is the second derivative of o(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1 - (-12)\/(-4)). Suppose 34 = -6*g + p. Sort g, 0.1, -4 in descending order.\nAnswer: 0.1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8952*o + 214854. Calculate v(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21938 = k, 0 = 10*k - 7*k - 3. List the prime factors of y.\nAnswer: 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -13*o**5\/10 + 3*o**2\/2 + 24*o. Differentiate b(w) with respect to w.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 2. Suppose v - 10 = h. Let x be 3*(-12)\/v + 2. What is the closest to x in 0.1, -1\/6, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36029553 divided by 3.\nAnswer: 12009851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13400207, 13400206, 13400205, 13400204, 13400203?\n\"Answer: -m + 13400208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*x + 190, 111*c - 108*c + 384 = 9*x. Let o(z) = z + 221. What is the remainder when o(0) is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*l - j**3*r**3 - 5*j**3*r**2 - j*l*r + 6*j*r**2 + 86*l*r**3 wrt r?\nAnswer: -6*j**3 + 516*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15058581 divided by 19?\nAnswer: -15058581\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-848138)\/(-127860) - (-4)\/(-30)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5*x - 6149*g**3*x - 2*g**2*x + 2*g - 8*x - 129 wrt g.\nAnswer: -60*g**2*x - 36894*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*p - 743 = 37, u = -5*p + 781. What is the remainder when 781 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 29. Is 1266\/10 + 8\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516829.6ml to litres.\nAnswer: 516.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2283455.8 rounded to the nearest one hundred?\nAnswer: -2283500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 54. Let k(s) = -7 - 2 - 8*s - 7*s**2 + 0*s - 4*s. Let z(r) = 11*r**2 + 18*r + 14. Let m(j) = b*z(j) + 8*k(j). Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521262049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 179.76? (a) 2\/9 (b) -2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4510496*h**2 - 2*h + 20. Let t be d(2). What is t rounded to the nearest 100000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = -5*n - 154. Let v = n + -19. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - 113*y**2 + 25*y - 2393. Determine v(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1838059, -1837891, -1837605, -1837195, -1836655, -1835979?\nAnswer: -1835161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 114. Calculate the highest common factor of 76 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000340806 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g + 5. Let s be (2*3\/(-18))\/((-2)\/(-18)). Let n be r(s). Which is the nearest to n? (a) -3 (b) 1\/10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -12*s - 15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j + 215*j - 19*j)*(3 + 0 - 5) + 2*j + 0 + 0.\nAnswer: -406*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113099 and 101115.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166142441293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + 17.28. Let w = -197658640.9999899 - -197658658. Let s = m - w. Round s to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 42, 46, 36, 12, -26?\n\"Answer: -7*o**2 + 39*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let t(h) = -35*h. Let u(c) = -12*c. Let l(o) = 4*t(o) - 11*u(o). Give l(i(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1278 divide 1523376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 - 8*q + 8. Let h(f) = -f + 1. Suppose -2*p + 45*u = 50*u - 11, 5*u = 3*p - 29. Determine p*h(t) - s(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + 0.2. Let r = k - 5. Let f = -1.756 + -0.244. Which is the smallest value? (a) 4\/9 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**2 - 11*c**2 + 3*c**2)*(-4*c**3 - 4*c**3 + 6*c**3 + (2*c - c - 3*c)*(c**2 + 0*c**2 + c**2)).\nAnswer: 102*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3253 or 3135?\nAnswer: 3135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26851.\nAnswer: 11, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/24 - t**5 + 45*t**4\/8 + 107*t**2. Let c(j) = 0. Calculate j.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 1 - 37 - 4, 4*r - 36 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 650302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l - 2. Let j be v(-2). Let t(u) = 14*u**2 + u - 2. Let d be t(2). Suppose 6*x - 3*x = -12, -j*b + 2*x = -d. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -344 + -2?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 161*m - 178*m + 13413. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -87*c**3 - 2*c**2 + 225*c + 456. What is the remainder when x(-2) is divided by 138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(693\/(-14)) + 2\/11. Suppose w = -7*n - 1 + 29. Solve -n*g = 3*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180958, 180903, 180846, 180787, 180726?\nAnswer: 180663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - ((-10 - -5) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 4*s - 2*s - 6*s**3 + s - s.\nAnswer: -6*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/42907714 and -3\/171630856.\nAnswer: 171630856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -72*b - 1. Let x(s) = -5469*s - 5429*s + 10934*s. What is x(u(m))?\nAnswer: -2592*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/2 - 1138*u**2 + 1292765*u\/2 + 1297321 = 0 for u.\nAnswer: -2, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 14\/(-4))*10. Suppose -14 = -5*k + 11, -4*s + 385 = b*k. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442.0628nm to micrometers.\nAnswer: 0.4420628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, -4\/5, 8396?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17454 * 18\nAnswer: -314172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8480768 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 809019*f**3 + 74870?\nAnswer: 2427057*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*z**2 + 4*z**2 - z - 4*z**2 - 4*z**5 wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91695738527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 3.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9817539 to one dp.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 4\/(-2))*(-3)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4815*k**2 + 214. Let l(h) = -112*h**2 + 5. What is -214*l(q) + 5*o(q)?\nAnswer: -107*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from grqqctqgqq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -92*j + 45*j + 360 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14107?\nAnswer: 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 13, 1, -5, -8 in ascending order.\nAnswer: -8, -5, 1, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039695541 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 221*z**2 - 24*z - 232. Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + 146. Suppose -x*m = 6*m. Solve 0 = 4*v - m*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95 - -103 - (8 - -2) - (-58 - 3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -863943.115 take away 0.5?\nAnswer: -863943.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 37*y**2 + 1989*y - 478. Give c(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + k = -3*k, 2*k = 5*s - 12. Let n(f) = -3 - 8 + 14 - 4*f - f**2 - s. Calculate the remainder when 4 is divided by n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/208 and 24\/957853.\nAnswer: 15325648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 2*y**4 + y**4 + 4*y + (-5*y**2 - 20*y + 20*y)*(-5 - 6 + 5)*(36 - 36 + 5*y**2) to the form g + f*y**4 + s*y + k*y**3 + m*y**2 and give f.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28835, 230477, 777789, 1843607, 3600767, 6222105?\nAnswer: 9880457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let b(a) be the second derivative of 0*a**2 - 35\/6*a**3 - a - 7. What is b(y(m))?\nAnswer: 105*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j**5\/9 + 41554804*j**4\/9 + 8993726141300*j**3\/3 - 128161587039200*j**2\/9 - 33726719762000*j\/9 = 0. Calculate j.\nAnswer: -1298590, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y + 4. Let r be 3 - (1 - y*-4). Suppose -11 = -7*h + 3. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/3 - 5*x. Let i(s) be the third derivative of -3*s**5\/10 - 5*s**2. What is i(z(h))?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 841.3516mm?\nAnswer: 0.8413516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3 + (8 - 1). Suppose t*g - 10 = 38. Suppose g = 3*m - 0. Solve -j = -m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5, 0 = -4*b - b - 4*j + 35. Suppose -5*t = 5*a + 20, 0 = b*t - 2*a + 4*a + 7. What is the second smallest value in t, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17182, 34334, 51486, 68638, 85790, 102942?\nAnswer: 120094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 250\/3 (b) 0.79 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 = -3*k + 1, -4*k + 5*f + 34 = 0. Let x(s) = 4 - 2*s + 10*s**2 + 6*s - k*s**2 - s**3. Calculate x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 35. Let a(z) = -3*z - 23. What is 7*a(w) + 5*k(w)?\nAnswer: -w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657.9 + -657.8. Let h = -10.8 + 11. Which is the closest to -2\/3? (a) n (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175*x - 3 + 2 - 269*x)*(19 + 1 - 5)*(2*x + 0*x - 4*x)*(3 + 1 - 3).\nAnswer: 2820*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) 4 (c) 0 (d) -8\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498146 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 + (-2 - -2). Solve -4*z - 20 = -m*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*b**2 + b - 71*b**2 - 12*b**2.\nAnswer: -4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 23 = -2*z, 3*v - 5*v + 18 = -2*z. Let x be 0*z\/12 - -3. Which is the nearest to 0? (a) 0.08 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 - 27*y**3\/5 - 3*y**2\/5 + 27*y\/5.\nAnswer: 3*y*(y - 9)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 27*d**6\/4 + 63*d**5\/5 + 13*d**4\/8 - 14*d**3\/3 + d**2 + 7. Factor n(p).\nAnswer: p*(p + 1)**2*(9*p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4517, -4533, -4557, -4595, -4653, -4737, -4853, -5007?\n\"Answer: -f**3 + 2*f**2 - 15*f - 4503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 56 = -18*t - 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -618*r**3 + 0*r**4 - 9 + 2*r**4 + 617*r**3 to y + g*r + m*r**4 + p*r**3 + h*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 6461.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1378, 3159, 4940?\nAnswer: 6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25523248 and 10672?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40a3 (base 13) to base 4\nAnswer: 2023121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 14 = -17*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-3*v + 2*v - 2*v) + (3 - 2 - 2)*(v - v - v) + 2*v + 4*v - 3*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -19328160 to the nearest ten thousand.\nAnswer: -19330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -3573.7364\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 9*j**2 - 8*j + 4. Let l be t(8). Suppose l*r = 8*r - 840. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n = 72. Let j = n + -11. What is the remainder when j is divided by 4 + ((-8)\/2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 10, 9, -2, -29, -78?\n\"Answer: -i**3 + 4*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, -1180, -2103, -3432, -5167, -7308?\nAnswer: -9855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 1075.\nAnswer: -28\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**4 - 3*b**2 + 0*b**6 + 0 + 0*b + 0*b**7 + 1\/30*b**5 + 1\/84*b**8 + 0*b**3. Find the third derivative of j(v) wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 - r**4\/24 + r**3\/2 - 2*r**2 - 11*r. Let d be x(0). Solve 0 = -p - p + 2, w - d*p = 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - k + 28, -72 = -343*k + 685*k - 345*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28031638?\nAnswer: 2, 14015819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 + 0)) + 5 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*q + 2102 + 997 = 140 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + (-6)\/(-8). Let j(z) = -z**3 + 14*z**2 + 3. Let i be j(14). What is the closest to -1\/3 in f, -0.5, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -7.06. Let j = b - 7.3. Let i = 21.7 + -22. What is the nearest to i in -5, 2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**4 + q**3 - q**2 + 1. Let j(w) = 5*w**4 - 2*w**3 + 2*w**2 - 2*w + 89. Let d(k) = -j(k) - 2*o(k). What is the first derivative of d(a) wrt a?\nAnswer: -4*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3691549 * 0.1.\nAnswer: 369154.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 = -t - q, 4*q = 5*t - 10. Let u(l) = l**3 - 7*l**2 + 9*l - 1. Calculate the remainder when u(t) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/36*(-12)\/99. What is the nearest to q in 2, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558*t**5 + 234*t**2 wrt t?\nAnswer: -33480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w = 13*s - 31*w - 20*w + 28, 0 = s + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/18 + 20*w**3\/27 - 11*w**2\/9 + 97. Factor k(l).\nAnswer: 2*l*(l - 1)*(l + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -430, -5\/118, 2\/31.\nAnswer: -430, -5\/118, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4*t - 3*g**3*r + 7806*g**2*t + 414*g*t - g - 2*r*t + 6*r - 1 wrt g.\nAnswer: -24*g**2*t - 18*g*r + 15612*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 + 9\/18*30616. Calculate the highest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1171365 and -1.3.\nAnswer: 1171363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(2\/21)*c))\/c**(1\/32) assuming c is positive.\nAnswer: c**(587\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 10, f: 1}. Give prob of sequence fi.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let o = 0.1947 + 0.0053. What is the nearest to o in -3\/2, n, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 52*x - 36. Let h be p(27). Solve 0*u = 4*j + u + h, 0 = -4*j + 2*u - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**2 + r - 1. Let l be c(1). Let d be (-1 - (-18)\/8)*-4. Let j = d - l. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose 7*h = z*h. Suppose h = 3*r + r. Let x(g) = g**2 - 3. Give x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 14 = 3*l, 0 = 4*l + 4*c - 28 - 24. Suppose -12 = -4*b, 4*k - 11 = -l*b + 3*b. Which is bigger: 3\/10 or k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -t - 9213, -19*t + 22*t - 7378 = -4*x. What are the prime factors of x?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -16\/1117 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) 10\/71 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197807788 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4650, 2, -2, -0.1, -1\/14 in increasing order.\nAnswer: -4650, -2, -0.1, -1\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31975 and 2.\nAnswer: -63950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2966 + 2813 = -9*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7552)\/5040 + 1 - ((-9)\/6)\/3. Let w(k) be the third derivative of -d*k**5 - 1\/42*k**4 - 1\/7*k**3 + 0 + 5*k**2 + 0*k. Find q such that w(q) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, -0.12, 1\/31, -12, 0.5 in decreasing order.\nAnswer: 0.5, 1\/5, 1\/31, -0.12, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -241*m**2. Let w(p) = -291*p. Calculate j(w(i)).\nAnswer: -20408121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 8*v - 12. Let g be o(10). Suppose -q + g = 2*z - 0*z, q + z - 8 = 0. What is the common denominator of 20\/1*6\/q and 41\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140 (base 5) to base 4.\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 11*x + 2. Is s(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + -21. Suppose 6*o - 30 = 0, 6*a - 7*a - 62 = -4*o. Is n at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -33?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 46*x + 133. Let w be s(-43). What is the nearest to -0.3 in -0.4, 1, -2.5, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 z when three letters picked without replacement from {p: 3, y: 2, z: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/6, -25, -26 in descending order.\nAnswer: 2, -1\/6, -25, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 15 + 21. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 4 + (3 - -2). Solve -5*h - 1 = -6*h, -5*m - g*h - 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 + 0 + (-1 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129396634 to the nearest integer?\nAnswer: 11375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7225, 1, -0.5 in ascending order.\nAnswer: -7225, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 27*i + 30. Let p be v(-1). Suppose p*q - 77 = 37. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99 - 743*s - 475*s + 53*s**3 - 2039*s**3 - 791*s - 98 wrt s.\nAnswer: -11916*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + (-14 - 7))*2*-1. What is the derivative of r*g + 101 - 117*g**2 - 16*g - 10*g wrt g?\nAnswer: -234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26\/8)\/((-204)\/(-4745040)).\nAnswer: 5, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k**2 - 10*k**2 - 5*k**2 + 68 + k**2 - 2*k to the form h + f*k**2 + l*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3342, -2, -38, 2 in descending order.\nAnswer: 2, -2, -4, -5, -38, -3342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 15 = -2*t - 5*z, 4*z - 12 = t. Suppose t*w = 3*w - 2*a - 88, -2*a = 5*w - 152. What are the prime factors of (4\/3)\/(4\/w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.348134 + -0.1\nAnswer: 45.248134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:43 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 6*sqrt(68)*-1 + sqrt(68) + sqrt(68) + (4*(-1 + sqrt(68)) + sqrt(68) - sqrt(68))**2 + sqrt(68))*2.\nAnswer: -136*sqrt(17) + 2208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16028451 divided by -2?\nAnswer: -16028451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqwc when four letters picked without replacement from {l: 1, q: 2, c: 1, w: 1, r: 8, g: 1}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose b = a + 4, 4*p + 5*a - 6 = 0. Suppose -20 = 4*c, 0 = 5*u - u + p*c - 288. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 19*s - 8 = 0. Put s, 0.1, 5\/3, 2\/5 in descending order.\nAnswer: 5\/3, 2\/5, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -6182694?\nAnswer: 6182694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341210 and 428970?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43480, -4, -7 in decreasing order.\nAnswer: 43480, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 + 106 = 0. Let m(q) = 9 + 34*q - a + 11 + 7 + 3. Let n(l) = l. Calculate m(n(s)).\nAnswer: 34*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 11332?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1628 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-4\/11)*o*o))\/(o**(2\/19)*o))\/((o\/(o\/o**(-7\/6))*o*o)\/o)**(1\/11) assuming o is positive.\nAnswer: o**(-2165\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 + 14*y + 10*y**3 - 4*y**3 as p + w*y + q*y**2 + f*y**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 27 = 4*v. Suppose r + 2 = -v*u + 6, 2*r - 4*u = -16. Which is the fourth biggest value? (a) -0.3 (b) -3 (c) -0.1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let a(q) = -2*q**2 + 15. Let y(v) = -1. Let h(t) = -a(t) - 5*y(t). Determine h(g(c)).\nAnswer: 2*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 + 8 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 11 - 3) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let v = s + -3. Let c = v - -3. Sort 4\/7, -1, c in descending order.\nAnswer: 4\/7, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*u**2 - 121*u**2 + 461*u**2 - 122*u**2 - 116*u**2 - 1 + 0.\nAnswer: -10*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))\/(g*g\/(g*g**(-2)))*g\/(g*g*g**(-2\/9))*g*g**(-1\/2)\/g assuming g is positive.\nAnswer: g**(-77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27479665.\nAnswer: 5, 5495933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z\/(z\/z**(-3))))*(z**(-4\/9)\/z*z)\/z*z*z*(((z*((((z*z*z**11)\/z)\/z)\/z*z)\/z*z*z)\/z)\/z)\/(z*z**(1\/8)*z) assuming z is positive.\nAnswer: z**(463\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-9\/2)*n)\/n)**(-45)\/(n\/(n*((n\/(n\/((((n**(-1\/26)*n)\/n)\/n)\/n)*n))\/n*n)\/n))**(4\/5) assuming n is positive.\nAnswer: n**(4011\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/48)\/(4\/176).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0 (b) -131 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-31 - -74 - 14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwjwwwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5*7110\nAnswer: -35550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3278684 and 3278694 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 a factor of 4635650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11929\/6 - -1983. Calculate the common denominator of 93\/236 and u.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 5. Let m(v) = -1. Let p(d) = 6*m(d) - o(d). Find the first derivative of p(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**(-1\/13)*x)\/x))\/x**6)**(-6\/13))**(5\/8) assuming x is positive.\nAnswer: x**(240\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5941641?\nAnswer: 3, 467, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 224.7245 millimeters?\nAnswer: 22.47245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -205.607408 and -170.\nAnswer: -375.607408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iucz when four letters picked without replacement from cfuicizzifizczzi.\nAnswer: 5\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n. Suppose -4*s + 105 = 5*v + 29, 3*v = 4*s - 108. Let t = -18 - -28. Let d(z) = z + s - t - 14. Give -4*d(o) + k(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2447.\nAnswer: -4\/2447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4423 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 65. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1. Let h(z) = -4*z + 8. Let o = 459 - 469. Calculate o*v(k) - h(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4610008832 + 4.461. Round c to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.499939 centuries?\nAnswer: 0.9499939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002701684965 rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/201 and 69\/10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14942319 to the power of 1\/2, to the nearest integer?\nAnswer: 3866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121604 and 1713292.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g = -3*z + 173, -10*g = -571*z + 567*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 621434700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -127 - 89. Suppose -2*i + 5*p - 11 = -34, -i + 39 = 3*p. Let v = s - i. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 + 0 - -2) + -202 + 220.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 + (-2)\/1 - -3 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3\/6 - 2*d + 7. Let y(c) = 40*c**2. Determine w(y(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/7)\/(39*(-14 + (-6780)\/63)). Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 20210?\nAnswer: 20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 9*l + 236. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + k)*(-21097 + 7345 - 6682 - 4798 - 5059) in the form x + b*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 5060100*o\/7 - 5060098\/7.\nAnswer: -2*(o - 2530049)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1365\/(21203\/233))\/((-138)\/4).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37831099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10635 and 85755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -3*r + 5*y, 0*r + 3*r - 105 = 3*y. Let h be (-14)\/3 - (-4)\/6. Let d = h - -8. Calculate the highest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13347 is divided by 563?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**6\/v*v)**(-4\/27) assuming v is positive.\nAnswer: v**(-28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11756*o**2 + 5637*o**2 + 19099*o**2.\nAnswer: 36492*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = q + 3*n - 5, -3*q + 5*n + 7 = 0. Suppose 0 = 3*b - c - 11, q*c + 3 = -b + c. Let u be (5 - 2)*(-1)\/b. What is the smallest value in u, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((9 - 7) + -19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 3 - ((7 - -3) + 1)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/1*(-6)\/(-8). Let h = 1521 - -914. Suppose -q - h = -r*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*w - 123, 4*w = 2*w + 5*g + 70. Let b = w - 39. Let v be 1 - 2\/(b\/(-45)). Solve 0 = 3*y - 5*i - 8, -5*y + 0*i + i = v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 137*k**2 + 166*k**2.\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/5 + (-120)\/(-150). Let o be (0 - 1)*6*2. Sort -4, -5, y, o in descending order.\nAnswer: y, -4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -8 - 8) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:31 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 4 - 7 + 8)*(-1 + 2 - 2)*(0 + 2 + 1) as g*l + q and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.8 - 53.2. Let u = 87347.9634882 - 87420.9635. Let p = f - u. Round p to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.089? (a) 3\/10 (b) 0.2 (c) -0.1 (d) -0.5 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + 4*u - 4. Let d be h(4). Let z = 8 + -3. Let a = z - 5.3. What is the smallest value in d, 4\/5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - ((-18 - 1) + 31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 228. Suppose -t*i + 4*i = -110. Calculate the greatest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213440 and 8845?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -142.1, -0.26, 0.1 in increasing order.\nAnswer: -142.1, -0.26, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 195274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*d + 39, 36 = 3*d + 2*d - 3*w. Let x be d\/(-12) - 45\/4. Is 273\/18 + 2\/x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/8 + 27*x**4\/8 - 583*x**3\/8 - 6563*x**2\/8 - 5637*x\/4 - 665 = 0.\nAnswer: -38, -7, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 - 2*k**2 - 65*k. Let i(j) = -2*j**2. Calculate i(c(m)).\nAnswer: -2*m**2 - 16*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3\/9 + 4*j**2\/9 + 64*j\/9 - 64\/9 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2475447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 + 2246*f**3 + 58*f**2 - 105*f.\nAnswer: 24*f + 13476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*r - 40*r + 4044 = 13802 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-13)\/m)\/m*m*m)\/m**(3\/5))**(1\/2) assuming m is positive.\nAnswer: m**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - j**3 + 4*j**3 + (3*j - 7*j + 45*j)*(-j**2 - 2*j**2 + 2*j**2).\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-211868)\/45 + (-100)\/(-250). Let s = -4700 - w. What is the common denominator of -139\/54 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 + -233. Solve -4*o = -16, -4 - x = -j - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjnjnjjjhjnnjnnj. Give prob of picking 2 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 8) + (1 - 2) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - z = 21, 0 = -5*r + 129*z - 120*z + 93 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 - 3*b**4\/8 - 5*b**3\/6 + 3*b**2. What is the units digit of p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + s - 10 = 0, -5*g + s + 41 = 11. Let a be (-348)\/812 - 90\/(-14). Suppose 15 = g*d + q, d - 3*d + 4*q + a = 0. Solve 4*f = 3*f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = -3*i + 72, -5*i = 4*w - 146. Solve 0 = 9*g - 21 + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a - 3. Suppose -22*j - 16 = -18*j. Calculate the remainder when p(j) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2413 - -3681. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/66 - (-260)\/22. Calculate the greatest common divisor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-4)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49298059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 1651*q + 8230. Calculate g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.9, -9\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6929650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = 17, -n = -4*k - 197. Let v = n - 361\/2. Let -5\/4*l**2 + 1\/4 - v*l + 3\/2*l**3 = 0. Calculate l.\nAnswer: -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*1\/(9\/(-6)). Suppose f + 10 = r. Let p be (-6)\/(-9) + 16\/f. Sort p, -1, 2 in decreasing order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*2\/(-63)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 840674?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/28*-2 + (-12)\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 4. Let h(b) = -31*b**2 - b + 21. Give 2*h(k) + 11*z(k).\nAnswer: 4*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -31. Let y be q\/(-10) - 2\/(-5). Suppose 0 = -y*d + l + 33 + 16, 2*d = -2*l + 52. Solve -s = -6*s - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (255 + 25 - 50)*(-2 - 2 + 0)*(s + 8*s - 8*s) in the form b + j*s and give j.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -28, 20, 0.3, -2, 361?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(208))*2)\/(-1*sqrt(16)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(-3*m + m**3 + 3*m) - 17*m**4 - 15*m**4 - 26*m**4 + (0 + 2*m + 0)*(-3*m**2 + 3*m**2 + 2*m**3) + 2*m**4 + 2*m**4 - 2*m**4.\nAnswer: -53*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 273188.721 to the nearest ten.\nAnswer: 273190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:42 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/11 + 1058*y**2\/11 - 5556*y = 0.\nAnswer: 0, 66, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o + 13. Suppose 6*p - 29 - 7 = 0. Let s(x) = x - 1. Let r(n) = p*z(n) + 78*s(n). Let w(j) = 2*j**2. Determine w(r(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 580*x**2\/3 + 392*x.\nAnswer: -4*x*(x - 2)*(x + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 3*v. Let s(b) = -4*b**2 - 3*b - b + 3*b**2 + b. Let i(r) = r**2 - 11*r - 6. Let n be i(12). Give n*k(y) - 7*s(y).\nAnswer: y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(15)\/sqrt(3) - (sqrt(5) + sqrt(15)\/sqrt(3))*-2 - (3 + sqrt(20) + sqrt(20) + 1)))**2.\nAnswer: 200*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 577 - 203 = 0. Suppose 0 = 2*b - 46 - 58. Calculate the greatest common factor of b and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 25*w + 28. Suppose 4*c = -h - 105, -c - 2*h = 2*h + 30. Let u be s(c). Suppose n - u*n = -9. Solve -i = 2*i - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3352 + 985 = -2*c + 3*p, 5*p = 5*c - 5905. Let h be ((-3)\/(-2))\/(8\/16). Suppose 277 = d - 4*q, -h*d + c = d + q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332810.\nAnswer: 2, 5, 13, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/7, 33, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.6. Let v = s + -6.4. Let h = -5.6 - v. Which is the smallest value? (a) h (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6*l + 2263*g**6 - 2*g**3 + 3*g**2*l - 197*g**2 - 2*g - 3*l wrt g?\nAnswer: -240*g**3*l + 271560*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16227 + -194609\/12. Let z = 3\/267051089 - -366734584246361\/10147941382. Let q = z - 36136. Find the common denominator of q and o.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 28 = 13*l. Suppose -26 = -4*v + 326. Suppose 0 = -5*h + q + v, h + 0*q - 16 = q. What is the least common multiple of l and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9936 divided by 6?\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udopo. Give prob of picking 1 o and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8632 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**2\/2 + 4822. Let m(h) = -21608*h + 2. Calculate v(m(o)).\nAnswer: 21608*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x - 1. Give w(-14).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000004146 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 216*j**4 + 3416*j**3\/3 + 2. What is the third derivative of u(d) wrt d?\nAnswer: 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 985, 1980, 2973, 3964, 4953?\n\"Answer: -o**2 + 998*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-4165)*-85*-7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by (-4)\/(-42) + 738\/189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100112121210 (base 3) to base 7.\nAnswer: 1411353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330\/11*(-16)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2348 + 2351 + 1 + 23.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120181256?\nAnswer: 2, 13, 23, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j**2 - 9*j + 12. Let g be s(5). Let l = 22 - g. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6584805 is divided by 6114.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -140.3\nAnswer: -98.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2193*r + 7155 + 23547 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13321979 minus 12324?\nAnswer: -12323.86678021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q + 5*z - 2, 4*q + 6 = 3*z. Let o(j) = j**2 - 3*j - 3. Let b(u) = -6*u**2 + 16*u + 16. Give q*b(s) - 16*o(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1383. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1736 + 1739. Let s(z) be the second derivative of 2\/3*z**4 + 0*z**g + 0 - z + 0*z**2 - 3\/10*z**6 + 0*z**5. Find the third derivative of s(x) wrt x.\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -31*o**4\/12 + 58*o. Let b(p) = 4*p - 3. Calculate b(h(u)).\nAnswer: -124*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832\/1 + -6*(-10)\/15?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 10*w**2 + 15*w + 16. Let i be n(8). Differentiate -i*b - 1443 - 5*b + 1343 - b with respect to b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 513.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-200)*5)\/((-1)\/(-4)). Do -5\/71 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-1))\/q)\/q)**1*q**(1\/5)\/(q*(q\/(q**(-6\/7)\/q))\/q*q) assuming q is positive.\nAnswer: q**(-93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594*j = 1472*j - 1830 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*y - 4 = 0, 2*i = -7*y + 3*y + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-456)\/(-513)*-4*9\/(-48).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 114. Suppose 20 = -4*c, -3*a + 4*c = 241 - 951. Suppose j*u = -u + a. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -11, -29, -47, -65?\n\"Answer: -18*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20341, 40443, 60545?\nAnswer: 80647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3267*v + 1116. Let p(w) = -7*w**2. Determine f(p(a)).\nAnswer: -22869*a**2 + 1116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 67*x - 40 - 108. Suppose 5 + 12 = i - 5*r, 5*i + 3*r = 1. Solve i*h - 5 = x*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(5))*6*-6 + -3 - (0 + (sqrt(1960) + -1*sqrt(1960))\/sqrt(8))).\nAnswer: -132 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3965522700 divided by 3\nAnswer: 1321840900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - y - 1)*(53 - 73 - 51) to the form k + n*y and give n.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2926*j + 61*j**2 + 2926*j + 28*j**2.\nAnswer: 89*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + -145 - (-6 - -8 - (-12 - -1)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 41*b + 62. Give x(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((624\/(-20))\/(-6))\/(52562\/615 - 86).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-9))\/((1\/(-2))\/(54\/(-108))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -0.01. Let i = 0.2 + -0.4. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 12, l - 24 = -5*m + 10. Suppose m*n - 205 = n. Suppose -4*s = 2*z - 50, 3*s + 5*z + 0*z = n. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -15*r**2 + 9*r. Let k(a) = -8*a**2 + 4*a. Let t(w) = 3*f(w) - 7*k(w). What is t(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 15*777\/(-525)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 16*d**2 - 4*d + 23. Suppose -3*r - 48 = -0*r. Is i(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, 0.2, 0.21, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + r = 16*d + 5, 4*r = -d + 7. Is d greater than or equal to 17\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 + 13053*w**4\/2 - 36003*w**3 - 71661*w**2\/2 + 340164*w - 157032 = 0.\nAnswer: -2181, -3, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -12. Let w(x) = -16*x + 1. Let m be w(z). Suppose 510 = -44*d + m*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2. Let c(i) = -3*i**2 - 5*i - 5. Let k(v) = -2*v**2 - 3*v - 3. Let t(j) = 6*c(j) - 10*k(j). Calculate t(h(w)).\nAnswer: 288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 72245*k + 577982. Give b(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -442028677948948 - 0.1\nAnswer: -442028677948948.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g + 12. Let j be m(7). Sort -3, -5, 0, j in decreasing order.\nAnswer: 0, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v - 4*v + 5*v - 24.\nAnswer: v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -q + 3*q - 65, q - 35 = -3*l. Suppose 0 = 4*z - 17 + 13. Let t = q + z. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 14 = 4*s, -3*t = -2*s - 3*s - 43. Let w(n) be the second derivative of 0 - 1\/20*n**5 + 46*n - n**3 + 2*n**2 + 7\/12*n**4. Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b + 55. Determine k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 30 = 2*a, 0 = 20*y - 17*y - 7*a + 47 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -71. Let p = -6 - r. Suppose -7*u + 3*u + 5*o + 103 = 0, p*o + 72 = 3*u. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5 - 170*n**4 + 654*n**3 - 478*n**2 - 656*n + 648 = 0. Calculate n.\nAnswer: -1, 1, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 + 785. Let i = 647.999999733 - r. What is i rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (924\/108)\/77 + (-25)\/63\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(405) + 1 + -5 + 5 - (-6*(3 + sqrt(405)) + (sqrt(405) - (sqrt(405) + -2)*4))))**2.\nAnswer: 40500*sqrt(5) + 1014525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let q = 231 - 194.6. Let w = -36.5 + q. What is the nearest to n in w, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 2 - 5 + 18*g + 1 - 15*g. What is l(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20.78756 millennia?\nAnswer: 2078.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 52, 0.02, -134\/3, 0.6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0 (c) -2\/23 (d) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18685 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)*34\/4. Let w = z + -15. Solve w*a = -a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27983.94, -2, 1\/9, 2\/15, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 - 1. What is i(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*g = 3, -5*n = -8*g + 3*g + 15. Let r be (1 + 9\/(-6))*n. Suppose -14 = -r*a - 0*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + x, -2 + 6 = -3*a - 4*x. Let p(q) = -q + 6. Let k be p(a). Let 5*b**3 - b**2 - k*b**3 - 2*b**3 + 0*b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079144722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 38.53346t?\nAnswer: 38533460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.25. Let o be -1*(-80)\/(-24)*(-12)\/(-90)*9. What is the second smallest value in o, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 + 0 = 0. Let u be ((-45)\/(-6))\/(2\/m). Solve 5*v = -4*r + u, 4*r + 3*v - 4*v = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaaapzanlpnpapl. Give prob of picking 1 a and 1 l.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -5*r, -2*p - 3*r + 14 = 2. Suppose p = 6*m - 236 - 454. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 5)*(2*w + 2*w - 3*w) - 46 + 10*w + 48 - w in the form x + z*w and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697 a factor of 92010292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-436)\/109)\/((-4)\/8*-172)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-4))\/3*145\/(-3480). Let c be (-16)\/7 - (-6)\/21. Let q(u) = u + 2. Let t be q(c). Is t at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1581 - -1585. Let x = 10 - 7. Let y be ((-2)\/3)\/((-2)\/x). Sort -3, y, d in increasing order.\nAnswer: -3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 14*p - 5*n - 1385, -2*p - n + 542 = 0. Suppose 0 = 3*c - c - 5*x - 27, 3*c - 3*x = 54. Calculate the highest common divisor of c and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*k = -15, 0 = -3*v + 5*k - 8 + 2. Suppose 0 = v*l + 4 - 10. Solve 0 = -4*f - l - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 1 - (183 - 183).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, a: 3, b: 1, g: 3}. What is prob of picking 3 a and 1 b?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 + 3944*w**3 - 63377*w**2 - 67320*w = 0. Calculate w.\nAnswer: -3960, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/3917576 or 0?\nAnswer: -21\/3917576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g**2 + g + 1. What is the remainder when (-1 - -32)\/(16\/3 - 5) is divided by o(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:42 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 + 46 + 107)*(-6 + 6 + 9*f)*(f + 2 - 2)*(-2 + 3 - 2).\nAnswer: -2988*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 958176*j + 4790833. Determine s(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108607 (base 9) in base 13?\nAnswer: 239aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 18*x. Solve 3*v + 3*j = 21, -2*j + x*j + 11 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4434589 to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9049, -18066, -27085, -36106?\nAnswer: -45129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*v - 16, -7*v = -2*v + r - 8. Let d(j) = 34*j**3 + j**2 - 4*j - 1. Is d(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.8 - -10. Let j = 0.2 - s. Let l = -170 + 168. Is l != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6810 + 0\/3 + 2?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(19) + 4) + sqrt(19))*-5)**2.\nAnswer: 400*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + u + 2 + 0 = 0, -p - u = 0. Suppose -11 = -5*g - p. Suppose -g*d = -0*d - 16. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r + 0 + 1\/100*r**5 - 3\/40*r**4 - r**2 + 1\/5*r**3. Factor s(v).\nAnswer: 3*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m. Let x be w(2). Suppose -15 = -5*i + x. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2\/3, -91, -0.5?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a - 347 = -127. Put 4, a, 997, -0.3 in ascending order.\nAnswer: a, -0.3, 4, 997","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 68\/1553?\nAnswer: 68\/1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8*t - 33 = 0. Sort -5, 5, t in decreasing order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-14))**(-1\/16))**47 assuming t is positive.\nAnswer: t**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 0*m**2 + 0*m**2)*(-1 + 1 + 2)*(185 - 413 - 8*m + 202) to the form c*m + h*m**2 + f + s*m**3 and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 7, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5\/(75\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 319, 11, 2\/7?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**6 + x**5 - 5179*x**4 + 10*x**2 + 41*x + 29 wrt x?\nAnswer: 360*x**3 + 60*x**2 - 124296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8757259054?\nAnswer: 2, 15527, 282001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504, -10, -7 in ascending order.\nAnswer: -10, -7, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5494 is divided by 609.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 1. Let o(v) = 2*v + 5. Let y be o(-4). Let q be n(y). Sort 5, -3, q in decreasing order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -2\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 86 - 37?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5795.2999876172 - 5795.3. Round m to seven decimal places.\nAnswer: -0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 230ba7b - 28?\nAnswer: 230ba53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*3*sqrt(35))\/sqrt(5).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -4.8. Suppose -2*o - 45 = 5*y + 3*o, -5*y + 2*o - 66 = 0. Let d be 1 - (-1)\/(10\/y). Which is the smallest value? (a) d (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, -1\/2, -2\/11, 113, -1044?\nAnswer: -1044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p. Let u(o) = -11*o**2 + 7*o + 5. Let f(q) = -5*q**2 + 4*q + 2. Let c(k) = -5*f(k) + 2*u(k). Calculate -c(w) - 6*z(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*f + 389, f + 172 = 5*t - 319. Is 98 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-70)\/(-40) + (-2)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-1\/12)\/g)*g)\/(g*g**(3\/7)*g))**(-11))**(-8) assuming g is positive.\nAnswer: g**(1210\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2367 and 2104?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -511*f*v**2 - 66*f*v + f + 565*v**2 + 107*v - 1 wrt v.\nAnswer: -1022*f + 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}