diff --git "a/data/dm_maths/full_data_2/1723_11255.jsonl" "b/data/dm_maths/full_data_2/1723_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1723_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*u + 4*o - 2*o - 1347 = 0, 4*o = u - 463. Suppose -u - 59 = -10*a. What is the remainder when a is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + k - 2)*(-5 + 7 - 9*k - 1).\nAnswer: -9*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1609 * -75.\nAnswer: 120675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/23351 and 33\/38.\nAnswer: 46702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 6*f**2 - 5*f**2 + 11*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**7\/70 + 7*i**5\/24 - 9*i**4\/4 - 12*i + 1. Let x(h) be the third derivative of g(h). Differentiate x(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07245985 to four dps.\nAnswer: 0.0725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d = -55*d + 351. Solve -m + 6*m - 41 = -4*q, 2*m + 2 = d*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + n - 1. Suppose 1 = -3*i + 4. Let z be c(i). Solve s - z*s - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 13. Let g = -1 + o. Let s = -0.05 + 0.05. What is the second smallest value in 4, s, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4 (base 12) in base 15?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13\/91)\/((-3)\/7*34\/187)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 1b2295?\nAnswer: 1b22a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503471382 to the power of 1\/2, to the nearest integer?\nAnswer: 50035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let q(i) = 7*i - 4*i - 5*i. Calculate q(y(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -123, -128, -135, -144, -155, -168?\n\"Answer: -p**2 - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 290, 271, 238, 191?\n\"Answer: -7*l**2 + 2*l + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvh when three letters picked without replacement from {h: 1, v: 10, t: 2, z: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 15*g - 56. Let s(y) = -2*y**2 - 7*y - 29. Let z(b) = -3*m(b) + 5*s(b). Let x be z(11). Solve -2*h = 3*i + 11, 4*h + 3 = i - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.7. Let m be 8\/12*(-1 + -2). Suppose 4*x = -3*n + 9, -3*n - 3 = -4*n + 3*x. Which is the closest to n? (a) m (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/11, 5, -0.012, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*i - 3*i = -105, i = 2*k - 57. Solve -17*t + k = -55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 6) in base 2?\nAnswer: 10111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 86 = -l - 0*s, 2*s - 190 = -3*l. Let z be 4\/22 - 45\/l. Let h = -2376 - -2375. Which is the fourth biggest value? (a) 1 (b) -3 (c) h (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2\/9, -0.8, -25, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -17, -2, 1, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 137*x**5\/20 + 257*x**2\/2 + 9*x + 10. Differentiate o(a) with respect to a.\nAnswer: 411*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*f**3*j**3 - 2251719*f**3*j + 2713*f**2*j**3 - 29*f**2*j + 11*f wrt f.\nAnswer: -288*j**3 - 13510314*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142884*v**2 - 3024*v - 16.\nAnswer: -4*(189*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(((-2)\/(-3))\/(8\/12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -a6?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-5*(-9)\/(-2295).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q. Let u be 0 + 0\/((-1)\/2*4). Let l(r) be the second derivative of 0 - 5*r - 2\/3*r**3 + u*r**2. What is b(l(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 - -3510?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799222581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632168 take away -0.029?\nAnswer: -1632167.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose 87 = n*p - 30. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 7*z - 662. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*x - 12 - 10, -q - 2*x - 7 = 0. Let o(w) = -3*w**2 - 21*w + 21. Let j(n) = -3*n**2 - 21*n + 20. Let a(d) = q*j(d) - 4*o(d). Factor a(s).\nAnswer: 3*(s - 1)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y + 2. Let t be c(6). Suppose -3*k - 22 = -4*m + 13, -3*m + k + t = 0. Solve 3*b = u, 0*u - 5*u - 20 = m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11579?\nAnswer: 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -629a418 + -4?\nAnswer: -629a421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4.2 (c) -0.7 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384272.\nAnswer: 2, 3, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 13, -1, -8, 8 in descending order.\nAnswer: 13, 8, -1, -8, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38483153 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1090, 2178, 3266, 4354?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:03 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:25 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*w + 130*w + 2072 = 149*w - 156*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpft when four letters picked without replacement from fpfffffftfpftatf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let d be (-43)\/(-5) - (-1)\/((-15)\/m). Solve 0 = 4*f - f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244287262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 3}. Give prob of picking 1 g and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0125651 rounded to five decimal places?\nAnswer: 0.01257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -19. Let h(s) be the third derivative of 0*s - 1\/20*s**5 + 0 + 1\/2*s**3 - 4*s**2 + 0*s**v. Differentiate h(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164695980?\nAnswer: 2, 3, 5, 2744933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000270273875 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -3364760 and -80.\nAnswer: -3364840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 3) + 1)*22. Let i = -18 - k. Suppose g + 267 = 2*g - i*t, -t - 2 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 6754*c + 5171*c - 2)*(-2 + 7 + 0).\nAnswer: -7915*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-15))\/((-1)\/3). Let k = 4.9 + -4.7. Which is the closest to t? (a) k (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -154*n**2 + 144*n - 16. What is the derivative of x(d) wrt d?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 3, -88, 4 in descending order.\nAnswer: 4, 3, 1, -18, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5712 and 124950?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1314661 (base 7) to base 6.\nAnswer: -3405044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 602880, 1205763, 1808648, 2411535, 3014424, 3617315, 4220208?\n\"Answer: s**2 + 602880*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 20 = 68 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12*v*v\/((v*v*v*v**(1\/27)*v*v)\/v) assuming v is positive.\nAnswer: v**(269\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14319226 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)**(-16\/9)\/((n\/n**2)\/n*n**(-1\/4)) assuming n is positive.\nAnswer: n**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, h: 1, v: 2, a: 1, z: 1}. Give prob of sequence hu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 5*s**2 - 5*s**2 + (-5*s**2 + s**2 + s**2)*(2*s + 1 - 1).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -196, -625, -1444, -2779, -4756, -7501?\nAnswer: -11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7089, -7088, -7087, -7086?\nAnswer: -7085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -17 + (5 - -22)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 + 2*s + 1. Suppose 2*g - 3*u - 718 = -103, 3*u + 1233 = 4*g. Suppose g - 336 = -9*q. Determine l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 2, l: 2, j: 2}. What is prob of sequence jg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 72. Determine o(-17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-162)*27\/3*5\/(-15)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l - 3*l)*(3 + 0 - 4 + (5 - 4 + 0)*(1 + 3 - 2)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -537, -1072, -1607?\n\"Answer: -535*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 288 = 84. Solve -3*o - y = 0, 0 = -r - 4*o + 3*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 3, n: 1, e: 3, y: 2, u: 1}. Give prob of sequence cny.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3012149 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 - 6*h + 8. Let n(v) = -12*v**2 + 5*v - 7. Calculate -6*n(b) - 5*t(b).\nAnswer: 7*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2)\/(9\/24). Suppose l = -4*a, -5*n + 2 = -n - a. Solve p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 60*l + 4*l**4 + 192*l**2 + 2*l + 82*l + 52*l**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 6*s**2 - 7*s + 4. Let h be j(7). Suppose 0*m + 56 = h*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 90*l + 88.\nAnswer: 2*(l - 44)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -109*u - 18. Let b(d) = -137*d - 22. Let f(i) = 5*b(i) - 6*l(i). Let n(w) = -4587*w - 297. Calculate -594*f(m) + 4*n(m).\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/(c**(-2)*c)))\/c*c*c\/((c**5*c)\/c)*c**0*c*c*c**1)\/(c**(-2\/23)*c**(2\/11)\/c*c**(-2\/3)*c**(3\/8)) assuming c is positive.\nAnswer: c**(1195\/6072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 213664.6?\nAnswer: -23503.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 minus -4?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -16\/3, 1\/43, 0.04?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (3 - (-2 - -4)). Let m = -4 + p. Let k(z) = -8*z**3 + z**2 + 2*z + 1. Determine k(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40293 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9308.\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -10.081\nAnswer: -10.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 87, 152?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482132 divided by -3.\nAnswer: 482132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1622, 1621, 1620?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 340*z + 664.\nAnswer: 4*(z - 83)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 251767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 3*o**2\/2 - 3*o - 3. What are the prime factors of d(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 2. Let b(a) = a**3 - 5*a**2 + 2*a - 2. Let v be b(l). Suppose v*q = 3*q + 3200000. What is q rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32024 and 355896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Let z = -0.4 + 0.6. Let l(x) = -3*x**3 - 2*x**2 + 2*x - 1. Let t be l(1). Which is the closest to v? (a) 2 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28081\/11 + 2553. What is the nearest to 0.3 in 0.1, 1\/3, 1, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 divided by -8.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2320)\/(-290) - (0 - 28\/(-6))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 3*l**2 - 5*l + 4. Let p = -65 - -19. Let u = -42 - p. Determine i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1984 and 32?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f + 1. What is the remainder when 53 is divided by ((-3)\/2)\/(165\/(-54) - f)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*l + 7 - 25, 0 = t + l - 12. Let r = -3.0835 + 0.0835. Sort 0.1, -2\/5, t, r in decreasing order.\nAnswer: t, 0.1, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/18 + 2\/9. Suppose f*j + 3*j - 60 = 0. What is the lowest common multiple of j and (2 - 0)*(3 - 5)*-3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - i + 2. Let c be b(-2). Suppose c*s = 5*s + 42. Let l be s\/((-3)\/((-3420)\/(-4))). Round l to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 2*x + 6. Let d(u) = 3*u**3 + u**2 + u - 5. Let f(v) = -7*d(v) - 6*q(v). Factor f(z).\nAnswer: (z - 1)**2*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. What is the closest to -0.3 in b, 2\/5, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 26 - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8157768*a**3 + a + 4*a + 1 + 2*a**2 - 3*a - 8157769*a**3. Let l be (-6)\/9*(-9)\/(-6). Determine o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91980 and 1365?\nAnswer: 1195740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4038 + -173?\nAnswer: -41ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1537*p + 3094*p + 11615*p)*(3 - 2 + 2) to j + a*p and give a.\nAnswer: 48738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1247 and 24331.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 129 - 144 - 7*x**3 + 430.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -111111100111011 (base 2) to base 6\nAnswer: -410443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 76*y**2 + 6*y - 4. Let q be j(1). What are the prime factors of 8592\/q - 4\/26?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 2.7. Which is the third smallest value? (a) -0.4 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.2. Let h = a + 0.2. Let z = 0.5 - 0.8. What is the smallest value in h, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -19*c + 21*c. Let x be 1\/(-1) + 3\/c. Let l be (-44)\/(-12) + x\/(-3) + 2. What is the greatest common factor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172*-1325.\nAnswer: -227900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 73. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194456995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 20. What is z(-14)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*y = -2, 0 = -5*r + 2*y + 3*y + 30. Sort -0.1, 1\/5, r in decreasing order.\nAnswer: r, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/((-6)\/(-9)). Suppose -104 + 35 = -j*i. Differentiate -37 - 4682*y**2 - i*y**3 + 4682*y**2 with respect to y.\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose 2*s - 6*s + 8 = d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from {i: 2, x: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -30 - 306. Solve r = 27*c - 11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302365 (base 8) to base 14.\nAnswer: 28405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22*(20\/(-8) + 3). Let a = r - 9. Suppose a*y - 19 = -5. What is the greatest common factor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 617 or 615?\nAnswer: 615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0395 + 28.0395. Let w = -25 + z. Which is the third biggest value? (a) 0.3 (b) -31 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24080 and 6874840?\nAnswer: 13749680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*u - 7 = 0, 0 = 927*u - 923*u + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 107475?\nAnswer: -3224.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 413111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7397441079 + 1.\nAnswer: 1.7397441079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/14787 and -143\/6.\nAnswer: 29574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11288*l = -11307*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19740 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 42959*k + 42954*k = -87, 108 = 6*k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26336 (base 9) in base 13?\nAnswer: -8121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193*u + 1389*u = -4704 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372989356*l**2*u + 1262747*l**2 + 94*l - 2 with respect to u.\nAnswer: -372989356*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/15 + (-2)\/10. Let p be h + 0 - (-5 + 21). What is the common denominator of 3 + 3 + (-78)\/p and 6\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjwwjwjwjjw.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:22 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-152)\/(-171))\/((-1)\/(-9)). Suppose 0 = -j + x + 3689, 5*j - 18481 = -c*x + 4*x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f. Let g(q) = 4*q - 6. Let w(a) = -11*a + 17. Let i(d) = -17*g(d) - 6*w(d). Calculate l(i(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = 20*g - 4*g - 35. Let r(u) = u**2 + 25*u + 27. Calculate r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01608 or -1\/5760?\nAnswer: 0.01608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12053 is divided by 97.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five quarters of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - -12) + (43 + -37 - -25).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/9 + 4)\/(592\/(-48) + 14). Factor -k*f**2 + 6\/5 + 1\/5*f.\nAnswer: -(f - 3)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/460 and 89\/262706?\nAnswer: 2627060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -933 - -935.065. Let w = 0.065 - h. Let z be 2\/3 - (-8 - -3 - -5). What is the closest to w in z, 3\/2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 374*z + 46184. Give d(-124).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 6. Let a(t) = -t**3 - 16*t**2 - 2*t + 3. Let k be a(-16). Let z be (-21)\/k - 4\/(40\/(-66)). Calculate y(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, -5, -73 in descending order.\nAnswer: -1\/4, -0.5, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 0*w**3 - w**3)*(-5 + 2 - 5)*(0 + 0 - 2)*(3*w + w - 5*w).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.1 + -14. Let d = -0.5 - r. Let n = 8 - 7.7. What is the nearest to -0.1 in -2, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**4 - 53*d**3 - 27*d**3 + 251*d + 0*d**4 + 10*d**3 - 610*d wrt d.\nAnswer: -36*d**2 - 420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Suppose -10*g - 134 = -194. Let l(c) = 5*c**2 + 10*c. Let m(f) = 5*f**2 + 14*f. Let u(s) = g*l(s) - 5*m(s). Give u(y(k)).\nAnswer: 5*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -115. Let s = 315 + o. 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: Solve 85*o + 2*o = -39*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrllljr. Give prob of sequence lrrj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*j**3 + 14 + 7*j**2 - 14.\nAnswer: -105*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 710 - 650. What is the remainder when 182 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3885 + -3868. Put -3\/2, 0.2, p, -1\/8 in decreasing order.\nAnswer: p, 0.2, -1\/8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15462 - -15497. Solve -t - 33*l - 9 = -i*l, -2*t - 3*l = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -107931*g + 1079315. Determine a(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3719022 milligrams in kilograms?\nAnswer: 0.0000003719022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*k - 48 - 16 - k**2 - 2*k**2 - k**2.\nAnswer: -4*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y - 0. Let k = 2 + y. Suppose 12 = 4*c - k. Solve 3*n - 3*v + 8*v = -14, -3*n = c*v + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1564*z + 3258*z + 1325*z)*(-7*z + 3*z + 3*z)*(0*z**3 - z**3 + 4*z**3).\nAnswer: -9057*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 198\/221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wwkvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*i + 62 = 0, 36 = 5*n + 3*i - 14. Let k = -15 + n. Let w = -1168\/7 + 166. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4446 divided by 54\nAnswer: 247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 - -208. Suppose -w*u = -45*u. Solve -5*l = u, -2*l = 3*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650562980 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -54, -7983.\nAnswer: -7983, -54, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:12 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*u + (3 - 3 + 2)*(-4*u - u + u) + 1 - 4 + 4 + 2*u.\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6699*u**3 - 3359*u**3 - 3339*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2. Let q(s) be the first derivative of -s**3\/3 - 4*s**2 - 14*s + 17. Let j be q(-6). What is x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*p**3 - 48*p**3 - 46*p**3 + 217.\nAnswer: -2*p**3 + 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485 + 812. Suppose k = -d + 4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -320*d**3 - 4*d**2 - 3*d - 3. Let w be o(-1). What is the greatest common divisor of 79 and w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6394943 and -2.\nAnswer: 12789886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/42 and 17\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8962 = 1391. Let n = f + -2090. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*g - 4*g**3 - 36*g + 3*g**3 + 74*g to the form s*g**3 + v + j*g + h*g**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 377435564 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) -0.1 (c) 0.8 (d) -38.58 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 508.6239 to 1 dp.\nAnswer: 508.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 - 3*x**2 + 19*x - 9. Let v(g) = 2*g**3 - 2*g**2 + 9*g - 5. Let j(i) = -3*s(i) + 7*v(i). Determine j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 - 6*r + 1. Give u(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 - -214.7. Let b = -0.3 - z. Let i = b - 11. Which is greater: i or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3)*2*2\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/5, -5, 0.5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.719 * 0.03136\nAnswer: -0.02254784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669859533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 2845*n + 13 + 2848*n - 4711*n**2 to i*n + f + g*n**2 and give g.\nAnswer: -4711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 5*a - 4. Let r(i) = -i**2 + 6*i - 6. Let f be r(4). Suppose -h = -f*h - 3. What is the remainder when j(h) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/6 - 771*t**2\/2 - 594441*t\/2 - 3424. Let m(u) = 0. Calculate u.\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = 14. Suppose 5*i = z*t + 17 + 44, 3*i - 4*t = 43. Calculate the highest common divisor of 24 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/((-572)\/390) + -7. Suppose -2*f = -0*f - 6. Solve -u - f = h, 4*u = r*u - 4*h - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-186) + (-29)\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 19 + 4 - (9 + -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 3, -8, 1 in descending order.\nAnswer: 11, 3, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)*r)\/r**2)\/((r*(r\/r**7)\/r)\/(r**5\/r*r))*(r\/r**2)\/(r*r**0*r)*r**5\/(r*r**5\/r) assuming r is positive.\nAnswer: r**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 - 49 = -5*h - 2*l, -3*h + 172 = -l. Suppose 2*t + 0*a - 76 = -2*a, -5*t = -2*a - 218. Calculate the highest common factor of h and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = 2*i - 2, 0 = 4*i + 4*q - 8. Suppose -5*z + 28 = y, -y = y - i*z. Let v = 13 - y. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*b - 2*d - 330, 2*d - 438 = -4*b. Calculate the smallest common multiple of 24 and b.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4832243 is divided by 4832236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 + 1\/8*l**4 + 2*l**2 + 0*l + 1\/2*l**3. Differentiate m(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t**3 - 8*t**2 - 13*t + 9. Let i be m(-2). Calculate the greatest common factor of i and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -46.78 (b) -1 (c) -0.7 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 9, c: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 731*c**2 + c - 42 with respect to c.\nAnswer: 1462*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -36.21. Let g = t + -22. Is -0.1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 10. Let k be (-4)\/(u - -6)*-34. Let g be 750\/11 + (-4)\/22. What is the highest common factor of k and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8119561 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*c**2 + 6000*c**5 + 275*c**2 - 172*c**2 + 173*c**2 - 58*c**2 + 2*c wrt c?\nAnswer: 360000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -35*t**3 + 13*t**2 - 5*t - 7. Calculate the remainder when 387 is divided by m(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1907, -1908, -1909?\n\"Answer: -f - 1906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8865 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42564, -43415, -44264, -45111, -45956?\n\"Answer: u**2 - 854*u - 41711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 221. Let k = -107.38 - t. Let q = -1.3 - k. Which is the fourth smallest value? (a) -1 (b) 0.5 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -18, 5*b + 5*n - 319 = -154 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -13 - ((-6 - 1) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -3. Let f = -4\/15 - 7\/30. Let y = 0.45374 + -0.15374. Put f, -4, y, x in ascending order.\nAnswer: -4, x, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-141)\/94)\/(2\/(-32)). Let s(c) = c**3 - 23*c**2 - 23*c - 33. Give s(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*y + 353278 + 350637. Is 6121 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 20*c. Factor 4\/3*p + c - 2\/3*p**2.\nAnswer: -2*p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23168536 is divided by 966?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/((4\/6)\/((-7680)\/(-720)))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**2 - 934*x + 66. What is the lowest common multiple of 7 and t(104)?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.056317596?\nAnswer: -0.168952788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 13 (b) -86.63 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j + 317*j - 6278171 = 2326071. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 243. Let x = c - -76. Let q = x - -32. Sort q, -5, -0.2.\nAnswer: -5, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.95 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5941 is divided by 283?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-12)\/(-7)*28\/8. Suppose -16 = -p - h*l, p - 3*p - 2*l + 8 = 0. Sort p, 1, 6 in ascending order.\nAnswer: p, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*(-1 + sqrt(76)) - ((2*sqrt(76) - sqrt(76)) + -5))*1 + -6*(sqrt(931) + sqrt(931) + 0 + -3)*-4)**2.\nAnswer: -43824*sqrt(19) + 2098610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -9, -0.1, -193, 2\/15 in decreasing order.\nAnswer: 0.2, 2\/15, -0.1, -9, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 117030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93055 or 93057?\nAnswer: 93055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11846 + -11846.1. Suppose -14 - 69 = -5*q + a, -2*q - 3*a + 23 = 0. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.075 to the nearest integer.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 316?\nAnswer: 18012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (7 - (8 - 7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37130\/181 > 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from 0.003.\nAnswer: 1.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 1048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163986 divided by 6.\nAnswer: 27331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40425 (base 11) to base 6.\nAnswer: 1133255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -14. Let g be 3*4\/(-6) - (-1 + a). Find the common denominator of 29\/18 and (486\/15)\/g - 6\/(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + -3 + 19\/2. Let y be 1\/(-5)*10\/(-4). Factor 1 - i*d**2 + y*d.\nAnswer: -(d - 2)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let t(r) be the first derivative of -r**4\/4 - 11*r**3\/3 - 3*r - 17. Let f be t(-11). Calculate h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v + 16*v**4 + 24*v**2 - 2*v**5 - 34*v**3 - v - 4*v**4 + 8*v**3.\nAnswer: -2*v*(v - 2)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -34*h**2 + 10*h - 5146. Let z(y) = 10*y**2 - 3*y + 1715. Calculate -3*g(t) - 10*z(t).\nAnswer: 2*t**2 - 1712","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 6*g**2 + 9*g - 3. Let k(s) = 2*s**2 + s + 2. Let o(i) = -c(i) + k(i). Give o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3 and 119\/9864.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - -17. Is 87 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-38 + -1 + -2). Let o = i + -22. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58553 bigger than -234217\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a45 (base 11) in base 9?\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18966168, -18966100, -18966032, -18965964, -18965896, -18965828?\n\"Answer: 68*l - 18966236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 12, -3618 = -5*r - 5*z + 3*z. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15353422 (base 8) to base 12.\nAnswer: -1221b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322 (base 10) in base 3?\nAnswer: 21022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*r - 5*r - 10, -5*r = 5. Let p(o) = -o + 10. Let x = 10 + -2. Let l be p(x). Put w, -2, l in descending order.\nAnswer: w, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37287505729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156401 (base 7) to base 2.\nAnswer: -111100101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 35, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 10615?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220790521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 6\/11*z**3 - 6\/11*z**4 + 2\/11*z**5 + 0 - 2\/11*z**2.\nAnswer: 2*z**2*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 1142*t + 1014. Let m(h) = -2*h**2 + 1133*h - 1013. Let v(y) = -5*m(y) - 6*u(y). What is the derivative of v(r) wrt r?\nAnswer: -4*r + 1187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002791471 to 7 decimal places.\nAnswer: -0.0002791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 295 + 173 = 20*o - 25*o + 12*o, -39 = -b + 4*o for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/9 + 1*-3)*(64 + -70 + 5).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 10 - 0. Let d(y) = -2*y + 2 - 2*y**2 + 2*y - y**3. Let f be d(b). Solve 7*i + 8 = o + 2*i, i = -f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2169, 5630, 11399, 19476, 29861, 42554, 57555?\n\"Answer: 1154*j**2 - j + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -940, -32493 in increasing order.\nAnswer: -32493, -940, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 123962 to the nearest one hundred.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.247 or -18\/13?\nAnswer: 0.247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -103*r + 115. Let c be h(4). Let y = 657 + c. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76895088.\nAnswer: 2, 3, 281, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from odxcoqcid.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**6\/120 + k**4\/24 - k**3\/6 + 2*k**2 + 2*k. Let p(s) be the first derivative of c(s). Give p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 276, 517, 734, 927, 1096, 1241?\n\"Answer: -12*x**2 + 277*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128) + -5)*-5.\nAnswer: -40*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 912\/(-384)*16\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20066*d**3 + 23122*d - 4 wrt d.\nAnswer: -120396*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1644913732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -44*r - 304. Suppose -27757 = -12*w - 27841. Give i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10771 is divided by 5358.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11315 = 2*s + 2333. What is the hundreds digit of (-3)\/(-6) - s\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2\/19 (c) -2\/571 (d) -8.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 3. Let j be w(-2). Suppose -j*y + 5 = -2*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w + 142. Let a be v(-10). List the prime factors of -38 + a + 1053\/1.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z\/(z**(-8)*z))\/(z*z*(z\/(z**(-1)*z*z))\/z*(z**(-1\/5)*z)\/z)*(z**(2\/15)*z**(-6))\/(z**(-1)\/z)**34 assuming z is positive.\nAnswer: z**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + (sqrt(1216) - (sqrt(1216) + -3)) - sqrt(1216)) + sqrt(1216)*-2*3 + sqrt(1216) + (sqrt(1216) + 0)*4 + sqrt(1216) + sqrt(1216))**2*4 + -2.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193231 (base 16) to base 15.\nAnswer: -2293d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6183 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -30 + (38 - 7 - 49)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, m: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 25215*f + 125950.\nAnswer: 5*(f - 5038)*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8617, 8401, 8039, 7531, 6877, 6077?\n\"Answer: -73*m**2 + 3*m + 8687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2027315545.2 and -19.4?\nAnswer: 2027315564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2880))\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(2)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5d2ca (base 14) to base 13\nAnswer: 7cc03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/((-56)\/3584*4))\/(2\/19)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -342*h + 2114. Determine n(7).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 339648 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 9*k**2\/2 + 7*k - 1278. Let c(y) = -4*y - 3. Suppose -2*j - 1 = -5. Determine j*h(u) + 5*c(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 15 = 103. Let y = -54 - l. Let j = y - -34. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6764\/23 or 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151116987*q**5 + 166560313*q**2 wrt q.\nAnswer: -9067019220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 2. Let r(s) = -6*s**2 + 124*s - 69. Let o(d) = -c(d) + r(d). Let t be o(29). What is the highest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/((-2)\/12*-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 130?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 438*y + 1. Let d(a) = 20*a**2. Give j(d(l)).\nAnswer: 8760*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {k: 6, o: 1, l: 3, s: 1, q: 4, r: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 114. Let i be s(17). Let p = i - -308. What are the prime factors of p?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22*(12\/(-18))\/(6\/9). Let b = z - -110. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -0 + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 9*w + 5. Let f be a(9). What is the third derivative of z**5 - 8*z**2 + 0*z**f + 0*z**5 + 6*z**5 wrt z?\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -62*b**2. Let q(t) = -8*t**2 + 11. Let j(k) = -3*k**2 + 4. Let l(h) = 11*j(h) - 4*q(h). Determine l(r(y)).\nAnswer: -3844*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 832013847 a multiple of 2347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/62 and -19\/50.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 - 184. Calculate the common denominator of -145\/24 and 26*7\/(-504)*p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-100)\/(-28))*105\/21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(sqrt(5) - (-4*(-2 + sqrt(5)) - sqrt(5))))**2 + 5.\nAnswer: -96*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 28408*a - 96. Let q be x(12). Suppose q = 15*y - 11*y. What is y rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287929?\nAnswer: 17, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -0.1, -1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 5, -1\/3, -4\/135 in decreasing order.\nAnswer: 5, -4\/135, -1\/3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -2302\nAnswer: -2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*-1*21\/(-14) - (19 - 72\/3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 217, 521, 955, 1519, 2213?\n\"Answer: 65*u**2 - 21*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 + -313.2. Let o(w) = -6*w**3 + w**2 + 2*w + 1. Let t be o(2). Let c = t - -235\/6. What is the second smallest value in c, 0.3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/55)\/(-48*(-150)\/(-63360))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9, 0 in descending order.\nAnswer: 15, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -10 + 12 + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + p = -4*p + 2, -8 = -4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((256\/(-168))\/(-8))\/((-6)\/7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 + 13*z**2 - 15*z + 84. Let i be y(7). Calculate the highest common factor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (1 - (-4 + 2)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h - 3. Let p(k) = -2 - k**3 + 0*k**2 - 6*k - 2*k**2 - 3*k**2. Let a be p(-4). Is 5 a factor of w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 2)*(13 + 443*r**2 - 443*r**2 - 2*r**4 + (2 - 2 - r)*(0*r**3 + 0*r**3 - 3*r**3)) to the form m*r**3 + g*r**4 + w + o*r**2 + t*r and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -1 (c) 3 (d) 1.6 (e) 60.9 (f) 18\/5 (g) -22\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let v(m) = -11*m. Let a(h) = -6*h + h - h. Let o = -337 + 334. Let r(i) = o*v(i) + 5*a(i). Calculate r(t(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 167397 (base 14) to base 16\nAnswer: c0719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/4 + 0 + 7. Let f(g) = -g**3 - i*g**2 - 8 + 0 - 4*g - 5*g. What is the units digit of f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:28 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((268785\/(-660))\/543)\/(3\/(-308)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73\/9 (b) 1 (c) -15.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose 2*t = -a*x + 5*t + 12, t + 30 = 5*x. Solve 3*b - 1 = 2*d, 3*d - 2*b - x = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 643, 3650.\nAnswer: -4, 7, 643, 3650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 1. Let w = 124163 - 124168. Let v(u) = u**2 + 6*u - 2. Determine w*o(j) + v(j).\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m. Let l(w) = -62*w**2. Calculate i(l(q)).\nAnswer: -992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j**4 + j**3 + 3*j - 28. Let a(t) = t - 1. Let c(z) = 3*a(z) - d(z). Find the first derivative of c(u) wrt u.\nAnswer: 68*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14025.73 + -14024. Which is greater: -41 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 7. Let q(w) = 4. Determine -3*a(l) + 5*q(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 6*a = -l - 274, -2*l = a + 62. Suppose 2*i = 118 + 72. Let d = a + i. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**3 + 6 - o + 5*o**2 - 6 - 8*o**3 - 2 to the form p*o**2 + i + m*o**3 + h*o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 90 + 97 + 79 - 245.\nAnswer: -2*o + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 21 - 19)*(5 - 5 - 2*k)*(-53*k**4 + 19*k + 113*k**4 - 62*k**4).\nAnswer: -120*k**5 + 1140*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w**2 + 2*w - 4. Let s(t) = 68*t**2 + 9*t - 18. Let l(j) = 2*s(j) - 9*u(j). Let q(v) be the first derivative of -v**2 + 5. Calculate q(l(h)).\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9038 - 422.167.\nAnswer: -9460.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 10*i**2 + 11*i + 11. Suppose 3*w - 8*w + 55 = 0. Is p(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/628 and 77\/18748.\nAnswer: 2943436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y = -46*y + 57. Solve 2*h + 4*u - 22 = h, 3*h + y = 5*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + w + 3*w + (2 - 18 - 1)*(3 - 2 + 1)*((-w + 4*w - 4*w)*(0 - 2 + 4) - w + 0 + 0).\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -31*l**6\/24 + l**5\/20 + 17*l**4\/12 - 110*l**2 + 2. Find the third derivative of i(q) wrt q.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 4. Let n(h) = -2*h**3 - h**2 + 2*h - 4. Let g be n(-2). Determine m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -149, 4 in increasing order.\nAnswer: -149, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -471*t**2 - 9897*t - 146. Give j(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 5, q: 2, k: 4}. What is prob of picking 3 k?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11769, -46857, -105263, -186987, -292029, -420389, -572067?\nAnswer: -747063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Do 7205052\/5 and 1441011 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1238 = 2*i, 3068 = -5*i + 4*h - 3*h. Let f = i - -606. Sort -5, f, 19, -4 in increasing order.\nAnswer: f, -5, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46 - 4)*(-1)\/2. Suppose -3*l - a = -41, 3*a - s = -4*l + 38. Calculate the remainder when 45 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or -1.33?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4.7. What is the second biggest value in q, 2\/85, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/((-17136)\/48)*2\/((-4)\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5359966760.\nAnswer: 2, 5, 29, 1907, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 35. Solve 13 + 17 = 2*q - n*z, -z - 19 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/60 - 2*v**2. Let o(j) = j + 2. Let i(f) = 1 + 3*f - f - f. Let x(l) = -10*i(l) + 5*o(l). Determine x(b(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 2*u - 3*u)*(-3 - 4 + 3)*(17*u**3 - 6*u**3 - 7*u**3) + (2*u**3 - 2 + 2)*(u + 3*u - u) to i*u**4 + l*u**2 + s + a*u**3 + n*u and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2307616 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.188 + 4.772. Let p = 0.04 + x. What is the smallest value in 4, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-6))\/4*3. Suppose 0 = j + 57 - 54. Is j <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -25. Which is smaller: r or -3\/62?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620496 and 1618794.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -56, 8, 6, -1, 201.\nAnswer: -56, -2, -1, 6, 8, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/3, 2\/5, 77, -1\/163?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 != -148\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 11*w + w - 27 - 10*w as y*w + q and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19290 and 3465?\nAnswer: 4455990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 3*w + 90. Let n be 6\/(-27) - 328\/w. Let x = 86 - 82. Solve -2*b - 20 = -4*p, b + n = 5*p - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55706\/2571 - -1\/2571. Find the common denominator of 7\/24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1.24, -2\/17, 920?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 593.4?\nAnswer: -594.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*l**2*t**2 + 12*l**2*t - 433*l**2 - 67*l*t**2 + 26*l + 3*t**2 - 2 wrt l?\nAnswer: 424*t**2 + 24*t - 866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63468845893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 531, 4, 1, -1 in decreasing order.\nAnswer: 531, 10, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-1125*l**2 - 4053*l**2 - 676*l**2).\nAnswer: 11708*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 594906009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 55 = 29. Let n be ((-370)\/12)\/(-5) + (-2)\/12. Let r be 2*(-1 - c\/n). Solve 0 = 5*p - 5*w - r, 3*p - 3*w + 1 = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10330 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t**4 + 34*t**4 + 21*t**4 + (t - t + 2*t**3)*(-4*t + t + 2*t) in the form w*t**4 + h*t + c*t**3 + f + a*t**2 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1066 and 787.\nAnswer: 838942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36077\/116 + -311. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3*f**5\/20 + f**3\/3 + 3*f**2\/2 + 19*f + 3. Let u(k) be the first derivative of r(k). Let x(n) = n + 1. Give u(v) - 2*x(v).\nAnswer: -3*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058743196.\nAnswer: 2, 3, 37, 101, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 + -148. What is the smallest value in 1, u, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010100100111110 (base 2) in base 13?\nAnswer: 97181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 8:20 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3044264*l - 18. Let a be p(-1). Let k = a + 7884282. What is k rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(2*w + 2 - 2)*(9786*w**3 + 8170*w**3 - 14448*w**3) in the form x*w**3 + p + h*w**4 + c*w**2 + j*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 0.5, -1.5, 2288?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 4*j + 3*j + 0*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15555 - -15555. Let p(h) be the second derivative of b + 15*h - 1\/2*h**2 - 1\/6*h**3. Give p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -436735719, -436735718, -436735717, -436735716, -436735715?\n\"Answer: z - 436735720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s**2 + 70*s**2 + 32*s**2 + 10*s**2)*(-1 + 1 - 2*s).\nAnswer: -254*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/4, -0.4, 1.7, 0.5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/2*(-8 - -3 - -3). Let s = v - -23. Let f = s + 26. Solve -3*j - 2*z - 18 = z, -f = 2*j - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g + 1530. Calculate n(-53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637 + 850 - 130*s - 51*s.\nAnswer: -181*s + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.656184 - 40?\nAnswer: -40.656184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 - 3 + 4*x + 5*x**2 + 4*x - 5*x. Let k(o) = o**2 - o. Calculate 3*k(i) + n(i).\nAnswer: 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i + 7 - 9\/5*i**5 + 9\/2*i**2 - 1\/2*i**6 - 3\/2*i**4 + 2*i**3. What is u in v(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 24 (c) -5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*r**4 + 57*r**2 - 4?\nAnswer: 1104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3538242*i**4 + i**3 - 2123*i**2 - 38991 wrt i.\nAnswer: 84917808*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -185*g - 10003. What is f(-51)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 702993 and -3?\nAnswer: -2108979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4803.99998039 + -4804. What is x rounded to 7 decimal places?\nAnswer: -0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-19)*i**(-11) assuming i is positive.\nAnswer: i**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 2, j: 1, w: 3, l: 2, h: 2}. Give prob of picking 1 p, 1 h, and 1 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 3*a**2 - a + 1. Give o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w*(w*w**3)\/w))\/(w**(-1\/3)*w*w\/(w\/(w*w**5))) assuming w is positive.\nAnswer: w**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1)\/((-4)\/6). Let p = 169\/5 + -34. Let g = -5 - -9. Which is the smallest value? (a) g (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -259542 and 26249.4.\nAnswer: -233292.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*(-4 + 1 + sqrt(153)) - (1*(sqrt(153) + (sqrt(153) - (sqrt(153) + 1))) + (sqrt(153) - -1*sqrt(153)*2))) + 4)**2.\nAnswer: -60*sqrt(17) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**36*q)*q*(q*q**(6\/13)*q)\/q*q)\/((q\/((q\/q**(15\/4))\/q)*q)\/(q\/(q\/((q*q**(1\/10))\/q*q)))) assuming q is positive.\nAnswer: q**(-10189\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29448 + -16879. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 5. Let a be 19 + (-2 - -1) + -1. Suppose 6*w = a - 41. Determine u(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7015, -14018, -21021, -28024, -35027, -42030?\n\"Answer: -7003*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4944.1*1.5.\nAnswer: -7416.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*x - 13. Let t = x - 8. Solve -t = c + 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.091, -1.2, -0.8, -1, 3?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*b + 74*b - 57*b + 2604 = 0 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/5, 4, 37, -1\/7, 5, -55?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10139*y + 69186 = 322661 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**6\/12 + 7*p**5\/10 - 3*p**4\/8 - 31*p**3\/6 - 5*p**2 + 5081. Solve b(q) = 0.\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 7, o: 7, u: 1, q: 2}. Give prob of picking 2 q and 1 n.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105577 - -187904. List the prime factors of b.\nAnswer: 7, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.069 + -0.07.\nAnswer: 2.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.4. Let k = g - -2.6. Let j = -133 - -129. Which is the second biggest value? (a) -0.3 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152493 is divided by 591.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, -10\/853193?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/(-5*(-3)\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 37. Is 11 a factor of (w\/10)\/((-4)\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**20*d)\/d*d)\/d*d\/(d**(-23)\/d))\/(d*d\/d**42*d\/d**(3\/13)) assuming d is positive.\nAnswer: d**(1095\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-416)\/260 - 167894*(-2)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drjvpwrpw. What is prob of sequence vwj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -98. Suppose u*p - 26 = 2*p. Let s = 20.2 - 20. What is the biggest value in s, p, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:25 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 14*b - 4*q + 74, -4*b - 2*q + 282 = 0. Differentiate -13*w + 97 + 14*w - 273 + b*w**2 - 53*w**2 wrt w.\nAnswer: 34*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x - 12. Let z(l) = -1. Let o(q) = -d(q) + 6*z(q). Determine o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q - 226 + 226 - 26*q + 3 + 10*q + 20*q + 3*q + q - 3*q + (0 - 4 + 5)*(-q - 2*q + 4*q) + q + 3 - 3.\nAnswer: -5*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -723108, -723454, -723798, -724140, -724480, -724818, -725154?\n\"Answer: o**2 - 349*o - 722760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 27 = 6*z. Suppose -4*o - z = -3*o, 5*o = 4*l - 103. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 40. Let v be q(-5). Which is smaller: v or -64?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(242)*3 + 2*(sqrt(242) + ((sqrt(242) + -1)*-5 - sqrt(242))))**2.\nAnswer: -1540*sqrt(2) + 11958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -441377?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -36 + (15 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 12:56 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47554)\/(-3658))\/(((-2)\/(-4))\/(12\/(-24)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338*t**3 + 3*t - 2 + 334*t**3 - 3*t**4 + 2 to the form j + u*t**4 + z*t + a*t**2 + c*t**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7659*u - 151008 = 1297*u + 375253 + 84491 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/20)\/13*(-8)\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9) + (-10)\/(-60))\/(25\/630*9)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17131 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 51 = -11. Let n be (4 - 0)\/(-1) - z. Find the common denominator of -99\/8 and n\/(-18) + (-1154)\/72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -l - l. Let y be l + 4 - (-58)\/18. Let i = 0.5 - 0.7. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 41*m + 15*m)*(-4*m**2 + 2 + 3*m**2 + 0*m**2) to d*m**2 + x*m + c*m**3 + j and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 + 53*b - 30. Let d(i) = 3*i**2 + 28*i - 16. Calculate -11*d(c) + 6*g(c).\nAnswer: -3*c**2 + 10*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2317 + 2317.4. Suppose -5*f + 65 = 5. Let m = -33 + 30. Put m, f, z in ascending order.\nAnswer: m, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 352 + -352.0235. Let r = 0.0047 + k. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 11 - 22. Let h(y) = y**2 - 4*y - 3. Let l be h(5). Suppose 2*t - l - 12 = 0. Calculate the greatest common factor of n and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150645, -602607, -1355875, -2410449, -3766329?\n\"Answer: -150653*d**2 - 3*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m + 3. Let s(d) = 26*d**2 + 2*d. Let i(y) = 1169*y**2 + 91*y. Let v(q) = -2*i(q) + 91*s(q). What is v(f(h))?\nAnswer: 2268*h**2 + 1512*h + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (10 + -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4715\/7 - 673. What is y in 0*y**2 - 2\/7*y**3 + a*y**4 - 2\/7*y**5 + 0*y + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 58*l**2. Let y(r) = -2*r. Determine f(y(w)).\nAnswer: 232*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335156.\nAnswer: 2, 23, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -443*(-4 - 6\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**3 + 2*f**2 - f - 11. Let r(s) = -15*s**3 - 4*s**2 + 2*s + 25. What is -4*r(l) - 9*x(l)?\nAnswer: -3*l**3 - 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q - 5\/2*q**2 - 14. Let a(c) = -5*c**2. Give a(d(s)).\nAnswer: -125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-10 - -8). Suppose -4*y + 45 - w = 0. What is the third derivative of -11*m - 2*m**2 - 3*m**2 + y*m - 12*m**3 wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1820*-30.2\nAnswer: -54964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.5, -1\/5, 476 in increasing order.\nAnswer: -1\/5, 0.5, 2, 4, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/24 - 13*w**2 - 55. Let g(q) = -1707*q. Determine g(p(k)).\nAnswer: 1707*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002427 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((117\/6)\/(-91*92\/(-8372)))\/((-14)\/(-4))?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-18) + (-2)\/(-12). Let g be 33 - (-2 - -1)*0. Suppose -2*k - k + 97 = -4*s, k = t*s + g. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 58 - (-2 - -7). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16172060, 32344118, 48516176, 64688234, 80860292, 97032350?\nAnswer: 113204408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*p - 4*r, 0 = 3*r - 0*r - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfbbbbbdkllbz. What is prob of picking 1 f, 1 l, and 1 z?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3317037.\nAnswer: -5\/3317037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582 is divided by 3556.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 37*s + 313 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l - 56*l + 30 = 0. Suppose s = 2*s - 3. Solve 0*o + 3*o - l = 3*z, -z + 2*o = -s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124.73 or 3?\nAnswer: -124.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + 0 + -326 + 0. Let v = b - -561. Let p = v - 168. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -4\/7, 3\/5, 1\/7, -227, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**2 + 1000 - 2*l - 1000 to n + h*l**2 + v*l and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 + 348. Suppose 4*u - c = 3109, -n*u + 0*u = -2*c - 2328. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2815.711 decades to years.\nAnswer: 28157.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -445 (base 7) to base 4\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -458*i**2 - 14 + 458*i**2 + 7*i**3 wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4 = 39. Sort 2, u, -3 in decreasing order.\nAnswer: 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-2))\/(250\/(-250)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1831265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -40*l**2 + 7*l - 9. Calculate p(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + 1 + -2*sqrt(3)*-4 - (2*sqrt(27)*-3 + sqrt(27))\/sqrt(9))*6.\nAnswer: -12 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 1. Let y = -2 + 3. Let v(r) = -r**2 + r. Let s = -76 - -78. Suppose 0*l - 8 = -2*l - 4*f, s*l + 2*f - 6 = 0. What is l*m(g) + y*v(g)?\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1076.81857 - -1076.6. Round p to 3 decimal places.\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/((-3)\/18). Suppose -2*w + s = 5*u - 3*u, -5*u + 7 = 4*w. What is the units digit of (2 - 5)*2\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 10*v + 16. Let u be k(-10). What is the second derivative of -2*l - u*l**3 + 4*l**3 + 4*l + 4*l wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:22 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 - 122*v**2\/3 + 7442*v\/3 - 453962\/9.\nAnswer: 2*(v - 61)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380971005 and 50?\nAnswer: 3809710050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -3.0881?\nAnswer: -27.7929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509.7 + 545. Let v = 15.3 - o. Let h = 33 + v. What is the fourth biggest value in -3\/2, h, 4, -0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9207 - 9097 = 10*m. Let w(d) be the second derivative of -m*d + 1\/2*d**4 - d**2 - 1\/6*d**3 + 1\/20*d**5 + 0. Give w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 124*a**2 - 8. Let t(f) = 2852*f**2 - 186. What is -93*s(n) + 4*t(n)?\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 5*t**4\/12 + 83*t**3\/6 - 9*t**2. Let y be m(-8). Solve -w = y*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (294\/2142)\/(10\/(-90)*-21)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 z, and 1 d when four letters picked without replacement from {z: 2, a: 8, d: 2, x: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 - 31*l - 60. Let a be t(-2). Solve -a*y = 3*y + 5*r - 50, -5*y = -5*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)\/w*w)\/w**(-13)*(w*w\/(w*w\/(w\/w**(-1\/6))))\/((w**(-3\/13)*w*w*w)\/w) assuming w is positive.\nAnswer: w**(16283\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*o = -1402*o + 1445 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*g**3*v**2 + 13*g**3*v - 3*g**3 - 7*g**2*v**2 - 5*g*v**2 - 56*g - v**2 + 34 wrt v?\nAnswer: 26*g**3 - 14*g**2 - 10*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 457*i\/6 + 858.\nAnswer: -(i - 11)*(i + 468)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 0.08 (b) -0.1 (c) -3 (d) 5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/762 - -1897\/6096. Find the common denominator of d and 89\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109c2 (base 15) to base 10.\nAnswer: -52832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160951700 or 482855098\/3?\nAnswer: 160951700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 28, 7, -22, -59?\n\"Answer: -4*q**2 - q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -116647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, k: 2, s: 6, g: 3, q: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 50*a**2 - 169*a + 610. Give u(-46).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**2\/2 - 5. Let c(m) be the second derivative of 5*m**3\/2 + 79*m. Determine c(b(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**6\/15 - 3*y**5\/5 - 2*y**4\/3 + 2*y**3 + 5*y**2 - 92*y. Determine d so that t(d) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1 - (4 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.86855 rounded to 2 dps?\nAnswer: 6.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:17 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let y(f) = f + 4. Let w be y(-3). Put -1, w, o in descending order.\nAnswer: o, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 5*s**2 + 6*s + 3. Let b be k(-6). Factor 0*l + 3*l - 2*l**2 + 2*l**3 - b*l.\nAnswer: 2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c\/c**(1\/4))\/(c**3*c\/c**(-5)) assuming c is positive.\nAnswer: c**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 24, 50, 86?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 0*x - 4*x + 0*x**3.\nAnswer: 3*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5620*i**3*r**2 + 4*i**3*r - 6*i**3 + 5*i**2*r - 209*i**2 - i*r**2 - 3*r**2 - 40 wrt i.\nAnswer: -33720*r**2 + 24*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12439*k - 8559. Does 53 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 5. Suppose -15*n = -17*n + 6. Let u be g(n). Solve -k + u = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 4*q + 3. Let g be x(1). Which is smaller: g or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*t + 63680 = 1736*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -395*c + 18. Let b be l(-1). Let k = 821 - b. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213848748.\nAnswer: 2, 3, 220009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y + 86*y = -171. Which is the nearest to -0.2? (a) -5 (b) -1 (c) y (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 23 + 2, -4*d = x - 439. Let j = -63 - -131. Suppose t - 19 = -t + 3*n, 0 = -4*t - 4*n + j. What is the remainder when d is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than or equal to 847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -132922, 9, -1 in descending order.\nAnswer: 26, 9, -1, -132922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 833, 1249, 1665, 2081?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355508 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1852\/7 - 265. What is the second biggest value in 2\/3, h, -3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f + f - 65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r - 2. Let d be n(2). Suppose d*y - 1500 = -636. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - (-9)\/(-3) - -4. Let u be 32\/m + (-8)\/12. What is the third derivative of 0*c**u + 2*c**6 + c**6 - 3*c**2 - c**6 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2893 + 18993. Round u to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/2)\/(2 - 0). Let q = -1.1 + 0.8. Let z = -0.5 - q. Which is the nearest to -1? (a) 0 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 118, -8\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:12 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 49281*a + 49288*a + 2*a**3.\nAnswer: 4*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 + x + 45. Calculate the remainder when c(0) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 7}. Give prob of picking 3 g.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Let j = d + 0. Let q be (-26)\/65*(-10)\/8. What is the nearest to q in j, -0.2, 5\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/3 + 454\/(-888). Let o = -8\/111 + j. What is the common denominator of 65\/16 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*m**2 + 10*m - 17499.\nAnswer: -102*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*t + 3 = 1, 2*t = -3*l. Let i(k) = k + 1. Let j(r) = -r**3 + 5*r + 4. Let u(v) = l*i(v) + j(v). Factor u(d).\nAnswer: -(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 4, i: 9}. What is prob of picking 3 k?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 126342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -6\/23, -0.05?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 71. Sort 13, -2\/9, y in descending order.\nAnswer: 13, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than -2074413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2686 and 59\/374?\nAnswer: 29546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3197731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 39*n**2 - 124. Let a(f) = 6*f**2. Calculate w(a(u)).\nAnswer: 468*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -5*s, 0*r = r + 4*s - 12. Suppose -v - r*v - 105 = 0. Let c be 2 - (-33)\/v - 67200018\/42. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*h - 31*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) 5 (b) 4 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 64198.1ug?\nAnswer: 0.0000641981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtrrrtr. Give prob of picking 2 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/5 + 18*r**4\/5 + 4*r**3 = 0?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0 + 0)*((6 + 3 - 4)*(-3 + 4 - 3) - 5 + 2 + 1).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (11\/((-22)\/4))\/(1\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 5 (c) 2\/5 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.14 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:43 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3 + 2)\/(74425\/3304470).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/r*r\/r**8 assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 3*h - h**2 + 4*h - 9*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 + 16*x - 1. Let i(k) be the first derivative of k**3\/3 - k**2\/2 - k + 4. Let p(a) = b(a) + 6*i(a). What is p(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -2, -126855 in decreasing order.\nAnswer: -2, -69, -126855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3873761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Are 1\/167 and 43\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4*y + 12, 294*y + 11 = -4*l + 295*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -985354 - 55136. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 568507?\nAnswer: -18192224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - (18 - 16)) + -1 + -1 - -59\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/64, 1, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)*i)**(-14\/5)*(i\/i**1)**21 assuming i is positive.\nAnswer: i**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 1, r: 3}. What is prob of picking 2 o and 1 r?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/3 + 14465*a**4\/3 + 51982603*a**3\/3 - 2360915329*a**2\/3 + 27784270360*a\/3 - 25475352100\/3 = 0?\nAnswer: -7255, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 2 + 0 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - -155. Let c = -189 + i. Suppose 4 = -3*q + c. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77987.5 to the nearest one thousand.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 749110521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u. Let r(p) = -p - 3. Let t be r(-5). Suppose -3*j = -t*j. Solve -f + j + 2 = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/7, 0.8, -1\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*i = -0*i - 307, -5*i = s - 119. Let c = s + -89. Suppose c*j = 88 + 732. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1365*a**2 - 1783 with respect to a.\nAnswer: -2730*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12550349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 1. Let p(v) = 35*v + 5. Let o(l) = -6*p(l) - 17*r(l). Let i(y) = 6*y + 4 + 3 - 11*y + 8*y. What is 7*i(w) + 4*o(w)?\nAnswer: -3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 3 + 1 + (-26 + 9 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-180)\/(-24) + (-2)\/(-4). Suppose -a*g + 25 = -3*g. Solve -16 = -g*j - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m**(3\/4)*m)*m)\/m)\/(m**(-2)\/m))**(-48))**(2\/45))**(33\/2) assuming m is positive.\nAnswer: m**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14845*r - 1253. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 344, -124, -36?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-15*(-12)\/(-9)*(-714)\/(-1190).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + k - 8 = 0, -2*y - y + 5*k - 28 = 0. Let p(v) = -3*v - 7. Calculate p(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b\/(b**(-3)*b)*b)*b*b)*b))\/b**(-2\/15)*(b**(-1\/2))**(-25\/6)*(b**(-1))**14\/((b*b**(-4\/5)*b)\/(b\/b**5)) assuming b is positive.\nAnswer: b**(-1079\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2813 + 2829. Let u be 12*-1*(0 + -2). Calculate the highest common divisor of u and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58411819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m = -47*m + 4*m - 36*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 910, 1214, 1524?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 15*s - 15. Let n be y(-16). Which is the nearest to n? (a) 1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*t**2 - 48*t**2 + 163*t**2 - 51*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51670563?\nAnswer: 3, 7, 43, 57221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-35)*6\/(-4). Which is the third smallest value? (a) 2 (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 3. Suppose n*d = d + 50. What is the remainder when 71 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1 + 10\/5))\/5. Let k(g) = 2*g + 8. Let m be k(-7). Let b be (-4)\/m*9\/(-15). Put -1\/7, b, w in decreasing order.\nAnswer: -1\/7, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*q - n - 3, -3*q - 3*n + 15 = 0. Calculate the highest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.8461?\nAnswer: -11.5383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63622, 127059, 190496, 253933, 317370, 380807?\n\"Answer: 63437*p + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324816658.\nAnswer: 2, 1063, 152783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 5 - 8*-3. Suppose 0 = -3*w + p - 3. Suppose 0 = -4*t + 4*f + 16, w*t + 3*f = 4*t + 18. Solve -t*z = 5*i, 4*z + 1 = -5*i - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + 68. List the prime factors of y.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7632232 litres in millilitres?\nAnswer: 763.2232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 - 2*o + 1. Let f = 1 - 0. Let h(x) = -f + x - x**3 + 0*x + 0*x + x**2 - 6*x**2. Let d(p) = -5*b(p) - 4*h(p). Determine d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5 - 455*g**4 - 2*g**3*i + 3*g*i + 508*g - 3*i - 2 wrt g?\nAnswer: -40*g**3 - 5460*g**2 - 12*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 12*h**2 - 13*h + 5. Let u be k(13). Sort -5, -8, u in ascending order.\nAnswer: -8, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0907 + 0.3907. Let a = 4 - 3.92. What is the second smallest value in 0.5, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4\/7 - 125208*v**3\/7 - 3132064*v**2\/7 - 19923432*v\/7 - 16916580\/7 = 0?\nAnswer: -15, -9, -1, 31327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 3*y**2 + 19*y + 2. What is t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 361776.16 - -560.2\nAnswer: 362336.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 2 - -4 - -10. Find the second derivative of 2 + f*l + 0*l - 2 + 13*l**2 wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -5*z**3\/2 + 1102*z + 1. Let p(c) be the second derivative of -11*c**3\/6 - 2*c. What is q(p(m))?\nAnswer: 165*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5 + 5)*(-5 + 0 + 3) + 233 - 4*v - 181 + 63.\nAnswer: -8*v + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m + 4*r - 31, 3*r - 32 = -4*m. Solve -8 = m*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 10, 4*i - i - 16 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 2. Suppose -3*f = -9*f + 6. Let o(c) = 96*c**3 - 9*c**2 - c - 12. Let g(u) = f*o(u) - 6*j(u). Find the third derivative of g(b) wrt b.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -400 and -128907\/322 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 4. Let p be q(-3). Let x(z) = -2*z + 1. Suppose -3*s + 1 = 4*o + 16, 8 = -2*s - 2*o. Let y be x(s). Solve 2*b - 6 = 4*h, y*h + p + 2 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u**(-5\/6)*(u*u**(-2)*u)**(4\/3) assuming u is positive.\nAnswer: u**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24482178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93240 is divided by 45288.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/6*(1 + (-15)\/9). Calculate the highest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/230388 and -71\/546.\nAnswer: 20965308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*c - 3*c = 2, -2*o - 4 = -4*c. Let v be 30\/6 - (o + 0). Put v, 2, -3 in ascending order.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509897 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010860536.\nAnswer: 2, 3, 7, 6017027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 9*n - 3*i - 2, 5*i - 45 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 4*p**2 - 8*p**2 + 13*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*6\/9. Let j = 5.779 - -0.021. Let h = j - 1.8. Which is the closest to f? (a) -2\/7 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 2. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*v - 2*r, 3*r = 5*v - 2*r - 140. Suppose -25*c = -v*c + 42. Let d(h) = h + 7 - 11 + c. Determine d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1293 - 858. Let t = 420 - m. Which is the fourth biggest value? (a) -1\/3 (b) 1 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.21, -0.2, -1, 1\/6?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*u**4 + 20455*u**3 - 257085*u**2 + 983745*u + 43740 = 0. What is u?\nAnswer: -4\/91, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 1491396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 369097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 333709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*3*-6.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let p(z) = -z**2 - 4*z - 3. Let j be p(l). Let i be (14\/(-175))\/((-72)\/(-135) - (-1)\/(-3)). Which is the closest to 0.1? (a) i (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a3 + a?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let p(m) = -m**2 - m. Let s be p(x). Is s greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*v = -13, 0 = -6*y + 2*v + 27 - 57 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28914 is divided by 4798?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02509248 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 77.8, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -4\/3*g**3 + 0*g + 56*g**2 + 198. Suppose h(t) = 0. What is t?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 901b4?\nAnswer: 901aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -10 + (3 - 5) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786408 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 10456*o - 188216\/9.\nAnswer: 2*(o - 2)*(o + 47054)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 18. Suppose -5*s = -m - 5137 - 2818, -7965 = -q*s + 3*m. Round s to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882703 is divided by 120.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*w + 12 + 57, 12 = -4*w. Let d = 0 + s. Suppose 0 = -0*j + 2*j - d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8, -l + 2*c = 4*l - 33. Let z(m) = -m**3 + 6*m**2 - 5*m + 1. Let u be z(l). Suppose 12*w + 14 - 14 = 0. Solve w*a + u = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -169\/5 (b) -1 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 13 (c) 3 (d) 1207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -41. Which is the closest to t? (a) 0.3 (b) -1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -0.284?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144 - -197) + (-2 - 33).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4\/2 - 1071*w**3\/2 - 49113*w**2 - 235488*w - 278784 = 0?\nAnswer: -176, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, o: 1, a: 1, j: 2, s: 5, v: 1}. Give prob of picking 1 s, 1 v, and 1 a.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b - 95. What is the lowest common multiple of x(-8) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, -0.1799?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 13*k**6\/6 - 4*k**2 - 3. Find the second derivative of n(f) wrt f.\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 - 76 - ((-1 - 0) + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2458*c**4 + 4847*c wrt c?\nAnswer: 29496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 15, d = -2*k - 8 + 29. Let v(n) = 38*n - 5. Let f be v(k). Calculate the common denominator of -125\/24 and -4 + 0 + f\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 101, 149, 197, 245, 293?\n\"Answer: 48*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52560 and 9549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 2112453*b - 2112452 = 0. Calculate b.\nAnswer: 1, 2112452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10.079+0.4\nAnswer: 10.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28964148.\nAnswer: 2, 3, 2413679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 372520.6um?\nAnswer: 0.3725206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 284*i - 11*i**2 - 11*i**3 - 14 - 286*i + 15 in the form k + f*i + b*i**2 + t*i**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: c65333 (base 13) to base 6\nAnswer: 243230052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11670946 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 187 = 2*a. Solve -a = u + 3*r + 2*r, 0 = 5*u - r + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15878845159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 9) in base 16?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15283 = 6446*b + 25564 + 75181 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 + 11*u**2 + u - 7. Let d(i) = -2*i**3 - 6*i**2 - i + 4. What is -7*d(t) - 4*n(t)?\nAnswer: -6*t**3 - 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/17 - (24\/(-4) + 9).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -94, -1, -140.\nAnswer: -140, -94, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 174 = -h - 30, 2*v - 4*h = -86. Let m = 74 + v. Suppose 0 = -3*p - 2*p + 15. Calculate the lowest common multiple of p and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -3979?\nAnswer: -3965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*l - 5 = -7, -4*u = -4*l + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 87. Let z(l) = 3*l. What is y(z(c))?\nAnswer: -3*c + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 50*n**2 - 8*n. Let v(f) = 25647*f**2 - 3*f - 76919*f**2 + 25640*f**2 + 25649*f**2. Calculate 4*b(z) - 11*v(z).\nAnswer: 13*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 2*a + a + 4*t, 3*t + 3 = 0. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6 - 6. Let s = -299.74 + 300.140016. Let t = m + s. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/5)\/r**(-3\/14) assuming r is positive.\nAnswer: r**(-41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -0.3 (b) 0.04 (c) 2\/7 (d) 3 (e) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10384 + -744?\nAnswer: -11128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/(-126)*1\/4*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -5 (c) 1.9 (d) 0.06 (e) -8\/177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-201)\/(12\/8*-2). Suppose a = 27*w + 67. Find i such that -8\/5*i - 2\/5*i**2 + w = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9600 + 317315. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/11, -2, -8 in ascending order.\nAnswer: -8, -2, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmgwmwmwgwwmw. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22\/89 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79089801 a multiple of 1926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + -9 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1022)\/(-146) + (-36)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81307 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10512 and 7056.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -15. Suppose 10*j - l*j = 104. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/9)\/(-153)*(-98)\/49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199172 by 49793.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s - 3. Calculate the remainder when w(-7) is divided by (-17)\/((-1)\/(2 - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 4, i: 1}. What is prob of sequence egi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**2 - 202*w - 39. Suppose 7*m = m + 510. Calculate the remainder when m is divided by z(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161590 by 130.\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1181 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4576166038?\nAnswer: 2, 43, 73, 728921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65115*l + 22*l**2 + 65141*l + 17*l**2.\nAnswer: 39*l**2 + 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:54 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 225\/(-120)*(1 + -9). Solve -q*j = 17 + 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.3 + -12.7. What is the nearest to -4 in -2, 3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s - 4*n + 47560, 2*s - 3*n = 47567. Let g = -28218 - s. Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31146779 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -312.5 + 313. Let c = 8.6 + -9. Sort j, c, -1\/3, -1\/6 in increasing order.\nAnswer: c, -1\/3, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 21. Suppose 5*b - 97 + c = 0. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7282 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 597691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102080 = 44*l - 4*l. What are the prime factors of l?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from jxtjjjti.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 100.071. Let p = 14.929 + m. Let k = 0.86 + -1.36. What is the smallest value in -0.1, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1091.793 + 1091.813999136. Let w = 37.979 - 38. Let q = c + w. Round q to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 8. Suppose -q*z - 10 = 5*a, 3*a - a + 3*z + 15 = 0. What is the units digit of 0 + 0 - (-3 + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmeomokm. Give prob of picking 2 o, 1 e, and 1 k.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - -54. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 53.74783?\nAnswer: 51.74783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 - -724. Calculate the smallest common multiple of a and 4.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7150244 and 3577394.\nAnswer: -3572850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 19.1. Let m = 11.5 - g. Let f be 8\/(-2) + -1 + 3. What is the biggest value in m, 0.1, f, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2453 + 2468*y**2 - 46*y**3 + 7 + 42*y**3 - 1914*y - 3010*y.\nAnswer: -4*(y - 615)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001757337 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 205032 (base 6) to base 11\nAnswer: 11569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12376 minus 0.5?\nAnswer: 12375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (-25 + 1)) + -60?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5071000 and 49\/4056800?\nAnswer: 20284000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*n + 1272*n + 2461*n.\nAnswer: 4855*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (44 - 15 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 795*g**2*q**3 + 6*g**2 - 51745*q**3 wrt g.\nAnswer: 1590*g*q**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3. Suppose -3*b = b - 24. Let k = b - -11. Let m = -12 + k. What is w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 83*v + 65084. Give l(-300).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 18. Let n be (a + -8)\/(2\/4). Solve t - 4 = -r, -r - t = n*t - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4147 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:51 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -27 + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70 - -31fe?\nAnswer: 326e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8561169*o**3 - 50229*o**2 - 2*o?\nAnswer: 51367014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-2)\/68*5\/(-15).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164834708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1003*x + 2031*x - 1031*x - 1809 + (x + 4*x - 6*x)*(-1 + 4 + 0) + (0 - 4 + 5)*(-2*x - x + x).\nAnswer: -8*x - 1809","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 + 524. Let l be 11\/k*-5 - 1\/(-4). Solve 5*s - z = -l*s + 23, 2*z = -2*s + 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/5*(-193)\/(69480\/(-2700))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291764586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*f + 21 = 0. Suppose 0*d - 5*d + 13 = -4*x, x + 6 = 4*d. Let s = -2 + d. Put s, f, 5 in ascending order.\nAnswer: s, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 41 = 5*p, 6*m - 4*m + 3*p - 23 = 0. Suppose 0*t + o + m = 2*t, 4*t = 3*o + 4. Suppose 3*l = 184 - 139. Solve -4*u = 20, 0*n - u + l = -t*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**2*s**4 - 94*o**2*s - 75*o*s**5 - 2*s**2 wrt s?\nAnswer: 48*o**2*s - 4500*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 a when three letters picked without replacement from nxovanvnonnoaovoonak.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000215 is divided by 2000100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 22*o + 4. Let v be w(-22). Suppose 337 = -v*h + 1273. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 1 (c) -36 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15) - (10\/75 - 0)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*b + 0*b = 16, f + 3*b + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 21. Suppose -5*h - 4 = -2*m, 2*h + 2*m = -2*h + 4. Solve 4*t + h*t + p = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*d - 23*b**3*v**2 + b**3*v + 24*b**3 - 5*b**2*d*v**2 - 2*b**2*d - 3*b**2*v**2 - 4*b**2 + 2*v wrt b?\nAnswer: 6*d - 138*v**2 + 6*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*k + 364 = 254, 2*s + 2*k - 8 = 2*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310336888.\nAnswer: 2, 29, 619, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1619 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25 - 4 + 9*z**2 + 16*z - 14*z**2. Let i(p) = -p**2 + 3*p + 4. What is 11*i(a) - 2*o(a)?\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 1, -38, -6, 4, 3 in decreasing order.\nAnswer: 4, 3, 1, -6, -38, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24.34836kg?\nAnswer: 24348360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(27\/2)*w*w\/(w*w**(8\/7)*w) assuming w is positive.\nAnswer: w**(173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 18*p - p**3 - p**3.\nAnswer: -2*p**3 - 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.49 + -13. Let r = i - 3.49. Sort r, 1, 0.05 in decreasing order.\nAnswer: 1, 0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -42. Suppose 3*v + 51 = 5*g + 4*v, 19 = 2*g - v. Let r = g - i. Is r at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(4\/((-3)\/(-3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 3359 = -32*w + 7220 for w.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1647*u*x**3 + 2*u*x**2 + 628*u*x + 20433*x**3 + 95*x + 8 wrt u.\nAnswer: -1647*x**3 + 2*x**2 + 628*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + y**2 + 5*y + 5. Let a be b(-1). Let k be 2\/a*(27 - 21). Suppose -k*i + 1 = -560. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 3, q: 3, w: 3, u: 6}. Give prob of sequence uqcc.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-40))\/(2\/5). Suppose 3*k - 4*k = -3*g - 28, -p*k - 5*g + 112 = 0. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/3 - 5*m**2 - 23*m. Let h be a(5). Let s(w) = -2*w + 168. What are the prime factors of s(h)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)\/l**(1\/22)*(l**(-7))**(-1\/49))**(-22) assuming l is positive.\nAnswer: l**(1679\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75020, 150154, 225302, 300470, 375664, 450890?\n\"Answer: n**3 + n**2 + 75124*n - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 632508391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 7065*l + 7068.\nAnswer: -3*(l - 1)*(l + 2356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28313.\nAnswer: 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7032.488 years in months?\nAnswer: 84389.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.5 + 58. Let d = 85 + -136. Let p = d - -46. What is the nearest to a in 1, -4\/5, p?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -3, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 3, b: 1, c: 3, m: 1, v: 3}. What is prob of picking 1 l, 1 v, and 1 j?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5035*y - 5028*y + 0 + 15*y**2 - 2 to the form w*y**2 + v + z*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Let o(m) = 96*m**2 - 2*m - 1. Let n(z) = 3*l(z) + o(z). Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3*y**2 - 103*b**3 + 315*b**2*y**2 - 15010*b**2*y - 96*b*y**2 - y**2 wrt y.\nAnswer: 10*b**3 + 630*b**2 - 192*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 55*l**2 + 11*l + 57. Let m be n(55). Let u(f) = f - 664*f**2 - m*f**2 + 1321*f**2 + 1. Calculate u(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3887135, 3887141, 3887151, 3887165, 3887183?\n\"Answer: 2*d**2 + 3887133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let w(g) = g**2 - 4*g + 4. Let h be 10\/(-50) - (-16)\/5. Let t(b) = -2*b**2 + 3*b - 3. Let p(q) = h*w(q) + 4*t(q). Determine u(p(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 3\/14*j**4 + 0*j**2 + 6\/35*j**5 - 1\/2*j**3 - 1\/98*j**7 + 0 + 46*j - 3\/35*j**6. What is i in y(i) = 0?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -118*j + 99. What are the prime factors of t(-36)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5))*2 + (sqrt(25)*-1)\/sqrt(5).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 879506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286.41 - -262147.894?\nAnswer: 264434.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 9*d - 11. Give m(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 19*n**2 + 112*n + 3. What is x(-4)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*-2*(-316)\/(-1580).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767 + 38593. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 50 = 0. Let x = 52 - v. Put x, -5, -9 in increasing order.\nAnswer: -9, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.098 + 48.\nAnswer: 48.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13702195 to the power of 1\/2, to the nearest integer?\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 1051, 1627, 2203, 2779?\nAnswer: 3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f + 20. Let c be r(8). What is the second derivative of 7*x**4 + 3*x**4 - x**c - 5*x wrt x?\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7562638*v**2 - 5179866 wrt v.\nAnswer: -15125276*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s - 51*s - 27 = 3*i, -201*i + s - 7 = -206*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + -5 + (sqrt(363) - (sqrt(363) + 1)) - ((sqrt(363) - (sqrt(363) - -3*(-1 + sqrt(363)))) + (sqrt(363) + 1 + -3 - sqrt(363)))))**2.\nAnswer: -660*sqrt(3) + 3367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*v + 816 = -0*v, 0 = -4*n + v + 801. Suppose 5*c - 464 = n. Does 29 divide (c\/(-7))\/((-1)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1 - 36\/(-63)). Solve 0 = 2*d + 3*n - 13, -2*d + 7*d - n - v = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -242?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212746 is divided by 334?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - f = 2*f - 8, -f = -2*r + 2. Suppose 5*i - 2*z = -49, 4 = 4*z - 4. Let n be (-26)\/6 + 6\/i. Sort r, 1, n in increasing order.\nAnswer: n, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - 13) + 221 + -217?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + 234 - 62 + 0*p**3 - 655 - 191 to the form j + k*p + n*p**2 + s*p**3 and give j.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164197\/4 + (-5)\/3 + (-5133)\/(-2124). What is the greatest common divisor of 50 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/440 and -73\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10\/(-3))*(-2)\/4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4247082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*o + 12, 30*t - 44 = 34*t + 4*o for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2765 = -4*s + 1983. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-105))\/13*-321 + (-6)\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (16 - 3))*(0 + (26 - -10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -86ae (base 15) to base 12\nAnswer: -14602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2508, -2763, -3018, -3273, -3528, -3783?\n\"Answer: -255*h - 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)\/h**1)\/(h*h**(-2\/7)*h\/(h**4\/h))*(h*h\/h**0*h*h\/(h\/(h\/(h**(1\/7)*h*h)*h)*h))**(2\/67) assuming h is positive.\nAnswer: h**(227\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/17)\/m)**(-4))**(9\/8) assuming m is positive.\nAnswer: m**(171\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 - 7005*w - 35100 = 0.\nAnswer: -5, 2340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347540 divided by -19?\nAnswer: -1347540\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 17, -101, -277, -517, -827?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 502787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473 (base 9) to base 12.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2210*o**3 + 5*o**2 + 6*o + 4. Suppose -j = j - 10. Let q be n(j). Let h = -986091 - q. Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859621 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188367 is divided by 37666?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312332.\nAnswer: 2, 113, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 51, 8, 513 in decreasing order.\nAnswer: 513, 51, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 1 - 1 + (y + 2 - 2)*(-3 - 5 + 4)*(-1 + 46 - 7)*(4 - 4 - 1)*(y**3 - 3*y**3 + 4*y**3).\nAnswer: 305*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 + t + 6. Let h be s(-6). Suppose h = 114*f - 110*f - 100. Let b = 100 + -50. Calculate the greatest common divisor of f and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 - 669*v**4 + 117834*v**3 - 5915450*v**2 - 38746875*v - 59765625 = 0?\nAnswer: -3, 125, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -368010 at least -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 2*n = -36, -731 + 733 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2606129226 and 846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Let r be v(-5). Suppose -4*n + 71 = -q, 0 = n - q - 0*q - r. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 536 = -s, 2*s + 3*s + 20 = 0. Let x = 105 - t. Suppose -3*n + 4*n - 3 = 0. Put -1, x, 9, n in decreasing order.\nAnswer: 9, n, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271189 divided by -38\nAnswer: -271189\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3 (c) 735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -332 + 546. Let a = 882 - r. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.9086508 rounded to one decimal place?\nAnswer: 653.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1 + -8 + 6. Let z(l) be the first derivative of -l**2\/2 - 3*l + 1. Let r be z(s). Is 0.06 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b + 672*b = -243*b - 37632 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102143 (base 6) to base 15.\nAnswer: -26b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 273 - (-12)\/(-8)*-2. Suppose b = -2, 6*u - y = u + 3*b. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1708308982, -3416617965, -5124926948, -6833235931, -8541544914?\n\"Answer: -1708308983*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -56102\nAnswer: 22440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 divided by 3?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 279?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -611988, 1, -3, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, -3, -611988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5240004320\nAnswer: 5240004321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -113. Let f = -27.9 + x. Let l = f - 5. Which is the third biggest value? (a) 0 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 786*d + 88602. Determine n(137).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12817237700 to the nearest one million.\nAnswer: 12817000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*w + 4, 2*p - 22 = -2*w - 2*w. Let h be 9\/(0 + w) - 3153. Let y be ((-144000)\/14)\/((-4)\/h). Round y to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in -46, 0.9, -4, -0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -1, 15, 57, 137, 267?\n\"Answer: 2*q**3 - 5*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36635078 by -1928162.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 915*q + 138*q - 169*q + 617*q to x*q + j and give x.\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38.68631 decades?\nAnswer: 4642.3572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 + 4. Let u(i) = -i + 1. Let w(b) = -l(b) + 3*u(b). Let k = 248 - 250. What is w(k)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -14*c**4 - 3652*c**3 - 110680*c**2 - 699164*c + 102150 = 0.\nAnswer: -227, -25, -9, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 3 - -20) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -54*o + 3. Let r be i(2). Suppose q - 4 = 3*z - 0*q, 5*z + q + 20 = 0. What are the prime factors of (z - -1)*r\/14?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64424156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 316543608?\nAnswer: 316543615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) -5 (c) 1301 (d) 2\/11 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q - 1, 3*c - 576 = -3*q. Suppose -t + 89 = -s + 277, 0 = -s - t + c. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 2*n + 3. Suppose 44 = -9*d + 17. Calculate t(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751426744.\nAnswer: 2, 19, 23, 214939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 2 = 0. Let a = 2765 + -2762. Solve -o = t*o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -16 - (-6 + -1 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (21\/(-105))\/(3\/(-15))*265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-7 - -4)*-2*27. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 119*v + 4. Let w be q(1). Suppose 14*s + 11 = w. Solve 3*a = a - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 - 16.3. Let s = 1.4 + n. Let i = -7 - s. Which is the smallest value? (a) -5 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1464 >= -5861\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/44 and 1 + 121\/110*5\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 + 8*v - 3. Suppose -3*p - 45 = -21. Let w be x(p). Let z be -4*w\/24*2*5. Solve 0 = z*b - 7 + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/126*(-3)\/(-2). Let z = -69\/364 - v. Suppose -14*f = -6*f + 208. Which is the third biggest value? (a) f (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7281 and 137564787.\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -c - 8, -5*p - 4*c = -p - 32. Let k = 10 - p. Let d(h) = 26*h - 7. Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by (9\/6 - 2) + 330\/20*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3 + 37\/((-1998)\/(-456))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-287585)\/(-35700) - 2\/(-8). Let r be 3*4\/30 + (-5632)\/14280. Let d = c - r. What is the common denominator of 68\/3 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/((-50)\/(-100)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 9, a: 4, b: 3}. Give prob of picking 1 b and 1 r.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/6 + 644\/24. Solve -3*q - 8*w - p = -3*w, 0 = -5*q + 4*w + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 13. Suppose -4*w - 225 = -y*w. What is the tens digit of -7*2*w\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -16 + 6*x - 15 + 55 - 8 - 18. Let i(n) = 7*n - 3. Determine -2*i(c) + 3*w(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*w = 2934*w - 2292*w - 245840 for w.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 5*a - 4*p - 326, -5*p = 2*a - 122. Suppose 0 = -6*g + 3*g + a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:32 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**7\/5040 + x**6\/72 + x**5\/30 - x**2. Let s(j) be the third derivative of u(j). Let o be s(9). Solve -3 - o = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 6*c**2 - 5*c + 17. Let t be j(-7). Suppose -4 = -2*m - d - t*d, 0 = -m - 3*d + 3. Solve -w - 1 + 5 = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 88\/8) + 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47398338?\nAnswer: 2, 3, 13, 251, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -77922\nAnswer: 1\/25974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 61*a**2 + 10*a - 1053. Let g(o) = -6*o**2 - o + 117. Calculate -19*g(n) - 2*v(n).\nAnswer: -8*n**2 - n - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 22*n**2 + 33*n - 30. Is 3 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 210, 1, -1 in increasing order.\nAnswer: -4, -3, -1, 1, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.11*-5\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2958 - -4161. List the prime factors of u.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10075 + -60683\/6. Let g = q - -3973\/102. What is the closest to -3 in g, -5, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 26*j + 7. Let t(x) = x**2 - 9*x - 1. Let i(w) = c(w) + 3*t(w). Give i(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 90 - 103 - -2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8872148 and 0.4?\nAnswer: -3548859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**6 - 54*j**4 + 23*j**2 + 54*j**4 - 6*j**6 wrt j?\nAnswer: -1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/11 + 40*x\/11 - 192\/11 = 0. What is x?\nAnswer: 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 25*p + 157. Let v be a(-11). Suppose 8*i + 9 = -4*m + 5*i, 0 = -m + 2*i + 6. Sort v, m, -5, -34 in decreasing order.\nAnswer: v, m, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285*-0.1.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/3 - 1290922*a**3\/3 - 138873731147*a**2 - 833238514120*a\/3 - 416618611600\/3 = 0 for a.\nAnswer: -645460, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/(6\/(-5)). Find m, given that 1\/3*m - 2\/3*m**3 - w*m**2 + 1\/3*m**5 + 1\/3 + 1\/3*m**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(sqrt(125)\/sqrt(5) + sqrt(25)))\/(6*(sqrt(15)\/sqrt(3) + sqrt(5))))**2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s - 1 - s**2 - 6*s + 3*s**2 + s + 9*s**3. List the prime factors of l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*s**2 - 15*s**2 - 6*s**2 - 21 + 62 with respect to s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922926?\nAnswer: 2, 139, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -597335*q**2 - 994922*q.\nAnswer: -1194670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 + 3212 = 18*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 617576 and 76?\nAnswer: 46935776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 2353*t**4 + t - 1773.\nAnswer: -20*t**3 + 28236*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62675324 - -4?\nAnswer: 62675330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365\/836 or 1?\nAnswer: -365\/836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16018 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r = 39. Suppose r = 4*i - 3. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let f(c) = -2*c**2 - 6*c + 6. Let w(o) = -3*o**2 - 5*o + 5. Let u(r) = 5*f(r) - 6*w(r). Determine u(q(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -24, -0.2, 5, 1 in decreasing order.\nAnswer: 69, 5, 1, -0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, d: 7, q: 4, f: 1, y: 1}. What is prob of sequence jj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9 (b) 16 (c) -4 (d) -3 (e) -12 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102021 + -11020011002?\nAnswer: -11011201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 19*g - 8. Let n be q(10). Suppose n*i + 71 = 309. Suppose -4*w = -201 - i. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13143738 - 81.1706.\nAnswer: -81.30203738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*u - 5, 5*z - 4*u = -5*u + 20. Solve -3*j - l + 13 = z*l, -4*j = 4*l - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a970 + -2?\nAnswer: 14a96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5980710 - 6?\nAnswer: -5980716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2823967727 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*o = -0*x + 20, -4*x = 2*o - 10. Suppose 16 = 5*l - 54. Solve -5*z + 1 + l = x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + y - 11 + 0 + 6*y + 5*y - 4*y. Suppose 0 = -5*d + d - 2*n + 16, -16 = -4*d + 5*n. Suppose -d*v + 2*o - 44 = -2*o, 0 = o - 2. Give u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 6, t: 2, m: 3}. What is prob of sequence mz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1687 or 1664?\nAnswer: 1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d**4 - 7\/15*d**5 - 4*d**2 + 7 + 1\/6*d**6 + 0*d**3 + 0*d. What is the third derivative of g(h) wrt h?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78014 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223013059 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -9, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 + 7*k**5\/60 + k**4\/6 - 7*k**3\/6 + 10*k**2. What is the remainder when 14 is divided by y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142024?\nAnswer: 2, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/35*(-90)\/(-12). Suppose -z*n + 12*n - 167400000 = 0. What is n rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 172, -8231, -3, -4 in ascending order.\nAnswer: -8231, -4, -3, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 2106.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*c**4 + 5447*c.\nAnswer: -792*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/242 and 47\/2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b + 163290 = -42*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**4 + 2*q**3 - 2. Let g(u) = -u**3 - u**2 + 1. Let f(a) = 2*g(a) + i(a). What is the third derivative of f(z) wrt z?\nAnswer: -264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 3*n**2\/2 - 5*n - 230. Let b(t) = -t + 1. Let z(h) = h + 6. Let v be z(-5). Let m(i) = v*l(i) + 4*b(i). Give m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -70*y**2 - 2*y - 3. Let g be x(-4). Let f = g - -8891\/8. What is the common denominator of 52\/7 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**2\/2 - r - 2. Let t(j) = -5*j + 3. Let o = -51 - -52. What is o*t(v) + 4*n(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x, 24 = 16*q - 12*q + x. Let b(l) = 5*l**3 - 2*l**2 - 4*l + 2. Let w(y) = 6*y**3 - 2*y**2 - 5*y + 3. Determine q*b(p) - 4*w(p).\nAnswer: p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x + 52 - 255. Let w be 6*1 - (0 - 1). What is the greatest common factor of w and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {h: 2, r: 3, o: 1, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 180 + 176 - 4*f + 559 - 1265 + 178.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453381.\nAnswer: 3, 79, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.446 to zero dps.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 440*x**2 - 29*x + 30. What is s(1)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11810924?\nAnswer: 2, 1103, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 4*n. Suppose -n*d + 8*d = -4*t + 1061, 4*t = d + 1031. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 7233086?\nAnswer: 65097774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1147.8 + -1148. Which is the nearest to 2\/11? (a) w (b) 3\/37 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = d + 88, 3*h = -4*d + 84 + 26. Suppose -5*s + 5*v + 55 = -0*s, 4*s - v - 29 = 0. Calculate the highest common divisor of s and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 8. Suppose -p - 33 = -3*h. Suppose -2*g = -w - 15, -5*g = -5*w - 14 - h. Calculate the greatest common factor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + 40. Calculate the greatest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098955 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 4. Let x(h) = -5*h - 9. Let j(m) = 11*s(m) - 6*x(m). Let p be j(9). Let d = 19 + p. Solve -1 = d*i + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 34. Let l = 13 - 1. Let x be n(l). Let d = -3.2 + 0.2. Which is the third biggest value? (a) 1\/5 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/351)\/(34\/(-459)). Solve -886 = -w*l + 4*q - 880, -5*q = 4*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(96)\/sqrt(3) + (sqrt(16)\/sqrt(2))\/sqrt(4))**2 + 3 + (sqrt(242) - (sqrt(242) + (sqrt(242) - (1 + sqrt(242))))**2*1 - sqrt(242)).\nAnswer: -175 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -6*f**2 - 3\/2*f**3 - 9\/20*f**5 + 0*f + 5\/4*f**4 + 1\/20*f**6 + 0. Factor w(q).\nAnswer: 3*(q - 3)*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32845*y**4 - 18*y**2 + 826095*y.\nAnswer: -394140*y**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*k - k**3 + 423*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 19*v**2 + 10*v + 164. Calculate n(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*y - 208*y + 4*z - 7 = 0, 10*y = 2*z + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (10\/(-15))\/((-4)\/396) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -23*z**2 + 2*z - 38. Determine r(4).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 + 71*k + 213. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20416, 20414, 20412?\n\"Answer: -2*w + 20418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 4*a - 7. Let n be p(-5). Let r be (-3)\/(3\/n)*46. Suppose -3*y = -h - 76, 6*h + r = 3*y + h. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1 = 4*p - 4*i, 5*p = 4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 3*m + 16 = -20*o, 5*o + 3*m - 31 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + y + 53, -r = 2*r - 4*y - 59. Suppose -5*c + 3*o + 25 = 2*o, -3*c + r = -o. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**5*((((t**4*t*t)\/t)\/t)\/t)\/t)**(-45)\/((t\/t**(2\/5))**(-1\/66))**(6\/19) assuming t is positive.\nAnswer: t**(47028\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 25, 23, 21?\n\"Answer: -2*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 + 558. Let x = -648 + w. Solve 0 = -x*a + 10 + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3354 (base 6) to base 4.\nAnswer: -30112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*u - 6*u - 132*u + 1985 - 102.\nAnswer: 3*u + 1883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37746 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1500 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-10)\/(-4))\/(-105*13\/(-1092)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, -0.6, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 + -365. Let n be 0 - 4\/6*-1. Let i = 635 + -631. Sort i, z, n.\nAnswer: z, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 2914*n**2 - 5470*n**2 + 2621*n**2 - 340*n.\nAnswer: 5*n*(n - 4)*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*b - p, 393*b + 4*p - 6 = 391*b + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*j**5*z - 3*j**2*z - 3*j**2 - 487*j*z - 1 wrt j.\nAnswer: 1940*j**3*z - 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*f + o, -152 = 5*f + 2*o + 27. Suppose -3 = 2*t - 3*t, 4*p - 3*t - 339 = 0. Let a = f + p. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*j**2 + 107*j**2 + 71*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4915*g**3*r**2 + 13046*g**3*r + 2583897*g*r**2 - g*r - 2*g + 2*r wrt g.\nAnswer: 29490*g*r**2 + 78276*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y - 149*y + 75 = -24*l, 0 = -5*y - 3*l - 47 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(18\/7)*h)\/(h*h**(4\/7))*(h\/h**0)\/(h\/h**(-1)) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddb when three letters picked without replacement from ddbdqddbbdbqdd?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 31*q**3 - q**2 + 1. Let g be 4\/(-14) - (-177)\/7. Let y = g + -9. What is the remainder when z(1) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 14 = -4*v, -d + 13 = 3*v + 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522849 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s**4 + 872*s**3 - 1444*s**2 - 14672*s + 37632 = 0. What is s?\nAnswer: -4, 48\/17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*j = -156 - 894, -4 = 2*j. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 18 + (6 - 1) + 25 + (-29 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Suppose 0*p - 4 = 2*p - l*u, 0 = p - 5*u + 5. Let y(f) = -2 - f + p + 2. Let i(k) = -k**2. Calculate y(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 4 + 5 + 3*q**2)*(2*q - 6*q + 2*q).\nAnswer: -4*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in 0.4, 25, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let o be (-1)\/(-2)*4\/14. Let t be 0 - (8\/(-6))\/(-2). What is the nearest to f in o, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4652982037 to the nearest integer?\nAnswer: 68213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -81, -170, -295, -456, -653?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - (-60 - -33)) + 48\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 5234 and 5234 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f - 49. Give p(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304682300 + 7*v**3 + 304682300.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1180894*k - 3 = 1180893*k - 29, 4*c + 53 + 111 = -30*k for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r**4 - 916*r**5 + 198*r**5 + 10*r**4 + (-4*r**4 + 4*r**4 - 7*r**4)*(3*r - r + 0*r).\nAnswer: -732*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 5*m**2 + 4*m - 6. Let s(r) = -2*r**3 - 4*r**2 + 3*r - 5. Suppose 3*a = -17 + 98. Let q = a - 31. Determine q*h(t) + 5*s(t).\nAnswer: 2*t**3 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 1, -29\/5 in increasing order.\nAnswer: -29\/5, -0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5783 < -5787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 71493 = -28339. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206109665 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 690 - 685. Solve -18*q = -y*q - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 123\/42)*4. Let n be (6\/(-4))\/3*(7 + -6). Put s, n, 4 in increasing order.\nAnswer: n, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -268*w + 265*w + 8, 2*w + 33 = 5*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/4))**(-28))**(-15) assuming d is positive.\nAnswer: d**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 0.6, 14 in descending order.\nAnswer: 92, 14, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(10\/9)))**(25\/6)*(d\/(d*d**(-12)))\/d*(d\/(d*d*d**(-16)))\/d*d*d assuming d is positive.\nAnswer: d**(983\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-63) + (-480)\/14 - (-200 - (-42488)\/226)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 25*h - 1143774*h**2 + 1143774*h**2.\nAnswer: h**3 - 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, 6, 4, -3.\nAnswer: -4, -3, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11204228 - -11204238.0000335. Let a = y + -10. What is a rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.73297 centuries in millennia?\nAnswer: 5.773297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1353851 and -0.02?\nAnswer: -27077.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6638 (b) 33.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w**2 - 3*w + 5. Suppose -9 = 3*v - 3*y, -4*v - 4*y + 0*y = -28. What is the tens digit of x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 418*b**2 + 3956776*b - 113592 = 0.\nAnswer: -9466, 6\/209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 453?\nAnswer: 452.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 8. Let h be t(2). Let g = 0.0345 + 32.2655. Let q = -32 + g. What is the second smallest value in q, h, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 + 36*z**2 - 16*z**2 - 11*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 11) in base 2?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 3. Let k(c) = 3*c - 82. Let g(q) = 5*d(q) - k(q). List the prime factors of g(-9).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112906 to 5 dps.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-84)\/(-16))\/21*4*0. Solve q = -5*p + 3*h - 15, -8 = -4*p + h - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14401 + 1137699\/79. Let l = s - 41\/474. Which is the closest to -1\/2? (a) -6\/5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277*u**2 + u + 1 wrt u.\nAnswer: -554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 31*w - 86*w - 45*w - 105*w + 1.\nAnswer: -191*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 - 3 = 0. Let i = 97 - 97. Suppose -5*l + 0*l = 110. Sort l, k, i in ascending order.\nAnswer: l, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose 6 = -n*q + 2*m + 484, -4*q + 3*m = -473. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.259. Let k = 2.859 + q. Let s = k - -0.1. What is the closest to -1 in -3\/2, 2, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 614831*s**6 - 13*s**2 - 36*s - 397 wrt s.\nAnswer: 73779720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 2*j**2 - j + 2 - j. Determine k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - q + 29 - 6*q**2 + 11*q**2 + q as j*q**2 + h*q + u and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*b**2 + 12*b**2 - 13*b**2 + 16*b**2.\nAnswer: 124*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.012 (b) 3 (c) -2322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 3098*c**2 - 6 - 13*c**3 - 3098*c**2.\nAnswer: -7*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 - 47 = 0. Suppose -2*x - 2*k + z = 0, -7*x + 2*x + k + 83 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 34 = -4. Let i be (43 + -3)*o\/12. What is the remainder when 29 is divided by ((-6)\/(-10))\/((-2)\/i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -8309.\nAnswer: -8303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let x(f) be the second derivative of 0 + 1\/3*f**3 + 0*f**2 + 3*f. What is x(i(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - 4*f)*(2*f + f - 2*f) - 2*f**2 - 2*f + 2*f - 5*f**2 + 5*f**2 + f**2 + 2*f.\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 541*a**5 - 3*a + 67?\nAnswer: 10820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/(-78))\/(((-27)\/6)\/((-36)\/40)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782391069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 0 (b) -0.2 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20637.\nAnswer: 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(12\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/225 + 122\/15. Suppose 2*v = 6*v + h. What is the units digit of (6\/8 + v\/(-8))*73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20161749 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {x: 3, m: 6, w: 3, j: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 28 - 10 = 5*i, 10 = -i - 4*b. Let w(f) = 279760*f - 13288*f - 14 - 14803*f. Let s be w(i). Round s to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-15)))\/i)\/i*i\/(i*i**(2\/9))*((i**(-7\/6)\/i*i*i)\/i)\/(i*i**22) assuming i is positive.\nAnswer: i**(-727\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 30 = -85. Suppose 0 = -2*j + 8, 2*j - w = 3*u - 48. Calculate the remainder when 2\/((-6)\/u*-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-10) + (-9)\/(-15). Let q = 1 - i. Suppose -3*u - q = -5*s + 10, -u + 2*s = 5. Which is bigger: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + t. Let u(a) = a**2 - a - 4. Let i be u(2). Determine w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4629)\/4*8\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1151\/6 + 4180\/21. Find the common denominator of 39\/22 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -41*z + 799. What is m(24)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2914*j**2. Let r(q) = -631*q. What is r(f(w))?\nAnswer: -1838734*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.066 - 2.934. Sort p, 11, 4, -0.3 in decreasing order.\nAnswer: 11, 4, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 - 368*a**2\/9 + 5518*a\/3 + 3844 = 0. What is a?\nAnswer: -2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 9\/24)*(-1)\/(-3). Which is the nearest to q? (a) -1\/3 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 2 (c) 3848 (d) 5 (e) 4 (f) -0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 221, 74 in increasing order.\nAnswer: -12, -4, 74, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (54 - 83 - -30).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 453*k**2 + 9*k - 82. Let u(a) = 226*a**2 + 4*a - 33. Determine 5*u(y) - 2*z(y).\nAnswer: 224*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8653*s**2 + 379*s - 381. What is the hundreds digit of g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poisixoopxxipzsoxpxp. What is prob of picking 1 i and 2 s?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 9*n + 57. Let z(s) = -4*s + 1. Let g(a) = b(a) + 2*z(a). Give g(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -11, 0.3, -3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165502307 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 66712 = -w, -h + 2*w = -16678. Let x = 199985\/12 - h. Find the common denominator of (6\/45)\/((-24)\/(-430)) and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -146541600509.37\nAnswer: -146541600504.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -444, -1525, -3630, -7101, -12280?\nAnswer: -19509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*l + 7*t - 2*t, 0 = 4*l + 3*t + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 5. Suppose -2*i + 47 = y*x, -i + 100 = 3*i + 4*x. Suppose 2*r - i = -2*k - k, -3*r = k - 49. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 + 938 + 570 + 3*d.\nAnswer: 3*d + 1997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163 * 1.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 22 = z + 5*t, -5*t - 10 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10674 by -3.\nAnswer: 3558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001768363 to six decimal places.\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*y + 27, -5 = -2*y + 4*o - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 44*s**3 + s**2 - s - 13. Let i be v(1). Let a = 235 - i. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876.0957 rounded to 0 decimal places?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132728143049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.63 or -1\/5640?\nAnswer: -1\/5640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*c**3 + (2 - 1 - 2)*(6*c**3 - c**3 - 3*c**3) + (-10*c**2 - 19 + 19)*(-4 - 2*c + 4) + 0*c**3 - 3*c**3 + 2*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -11113201?\nAnswer: 11113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = m + 4*i, 5*m - 4*i = 4. Let y(f) = 2*f + f + 3 - m*f - f**2. What is y(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-8)\/(32\/(-18)) - 4) + -5. Suppose 0 = -4*r - r. Let m be r\/(0 - (-3 - -2)). Sort o, 5, m in increasing order.\nAnswer: o, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3\/6)*2. Let p = q + -3. Let t be (-34)\/(-9) - p\/(-9). Calculate the greatest common factor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Suppose -6*j = -j - c*m + 10, 3*j - 4*m + 5 = 0. Let d = -4 - -1. Is d greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -5\/12*v**3 + 5\/6*v**4 + 0*v**2 + 0 - 3\/8*v**5 + 3*v. Determine n, given that p(n) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (4 - 0)\/1. Let c = 0.05 + 2.95. Sort l, 1\/8, c.\nAnswer: l, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*x - x. Let q = 26500 - 26498. Calculate the least common multiple of x and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 284200*t + 1136827. Calculate a(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 279\/57)*(24 - 32).\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5220 and 34\/4815?\nAnswer: 558540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -227*g + 425. Calculate o(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 818268 and 5412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 14. Calculate the least common multiple of l and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.88 + 3.08. Let w = -26.9 - j. What is the closest to w in -1\/11, 2\/9, 0.48?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161492842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8118?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 8 = -4*m. Suppose 5*q + 23 - 3 = 0. Sort 1, q, m.\nAnswer: q, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1555 - -0.0555. What is the second biggest value in 0.4, u, -0.7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a**2 - 5*a - 2. Let z be x(-2). Let i(p) = -9*p**2 - p - 1. Let r be i(-1). Let s = r - z. Calculate the remainder when s is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/(o**(-4)\/o)*o)\/o)\/o)\/o*o)**33*(o\/o**(10\/9))\/(o\/(o\/(o\/(o\/o**(1\/9))*o))) assuming o is positive.\nAnswer: o**(1771\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5569\/3 + -1773. Let t = l + -84. What is the closest to 0 in t, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 18. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 117364520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.38. Let o = -4.88 + w. Let l = o - -4.8. Put l, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*c + 42 = -172*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 less than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319124 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122363662*k**2 + 123256652*k wrt k?\nAnswer: -244727324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.37508096765 - 0.104.\nAnswer: -6.47908096765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**2 + 33*s**2 + 5*s**2 + 22*s**2.\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560 and 3280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3756086 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m**2 + 8*m - 8. Let f be z(7). Let l(b) be the second derivative of -b**3 - 11*b. List the prime factors of l(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 414 = -5*o, -5*s - 159 = 5*o - 609. Solve -61*x + o = -82*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + a + 2*a)*(5 + 0 - 4)*(0*a + a**4 + 0*a) - a**5 - 2*a**5 + 0*a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*p - 30 = -65*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -225926433509 plus -2?\nAnswer: -225926433511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/25 + 9\/5. Suppose -5*j = -d*j - 5*x - 53, -51 = -5*j - x. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -0.2, 48\/7, 0.3 in ascending order.\nAnswer: -0.2, 0.3, 48\/7, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 5*l - 2. Let x(f) = 2*f**2 + 4*f - 1. Let a = -62 - -100. Suppose -9 = 41*v - a*v. Let z be x(v). Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.02.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a**2 - 37 + 15*a**2 + 22*a - 19 + 6*a**2 = 0. What is a?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/2 - m**3\/6 + 3*m**2\/2 - 678*m. Determine c(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6 times 28532?\nAnswer: -416567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(4 + -12)*0. Suppose 0 = 5*k + 5*z - 3 - 7, 4*k - 12 = -2*z. Suppose -k*s + 5*r = i, -2*s - 3*r + 4*r + 6 = 0. Solve g = 2*g - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 19. Let d(g) be the second derivative of g**4\/6 - g**3\/3 - g**2\/2 + 2*g. Let b be d(-1). Solve 0*p + j = s*p + 7, 4*j + 6 = b*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.447 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 8 (b) 12 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 27*h + 61. Let g be f(31). Let w = g - 222. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - 1176?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - t + 3 = 6*o - 10, 55*t - 15253 = o - 555*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2605 minus -3430658?\nAnswer: 3428053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -192, -191?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589\/13512 + 852931003\/40536. Let u = 21047 - m. What is the common denominator of (2 - (-406)\/(-128)) + 2 and u?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 0 - (sqrt(11) + -1)*5.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/13, -21327 in decreasing order.\nAnswer: -2\/13, -1\/2, -21327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 0*q**3 + q**3 + (2 - 2 - 3*q)*(-15*q**2 - 24*q**2 - 57*q**2).\nAnswer: 287*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {n: 1, i: 5, k: 2, q: 1, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/23)*m*m*(m\/(m\/(((m*m**23*m)\/m)\/m)))\/m)\/((m**(-23)*m)\/m**(2\/13)) assuming m is positive.\nAnswer: m**(14073\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64\/12)\/(-16))\/(0 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 44*u + 560. Give s(-35).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232098700 rounded to the nearest 100000?\nAnswer: 232100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 17*j - 21*j. Let r = 1184.486 + -1135.5. Let x = 0.014 + r. Does j = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**7\/840 - g**6\/180 - g**5\/120 + g**4\/6 + 65*g**3\/6 + 88*g. Let y(o) be the second derivative of s(o). Calculate y(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**3\/3 - 3*r**2 + r + 107. Calculate d(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35547, 35543, 35537, 35529, 35519?\n\"Answer: -v**2 - v + 35549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((4 - 2) + -3). What is the tens digit of ((-4)\/10)\/(f\/70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*r + 5278, d = -4*r + 1118 + 170. List the prime factors of d.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnaaannnnnnn. Give prob of sequence nana.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 4, b: 1, n: 1, z: 4}. What is prob of picking 1 z and 1 q?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306176499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6602161 divided by 5?\nAnswer: -6602161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/3 and -57\/194.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (3 - (-3 + 9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006648375 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2))**(-2\/29)\/(p**(3\/5)\/p)**6)**7 assuming p is positive.\nAnswer: p**(2331\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -9*d - 9*d + 28*d - 9*o - 13, -o + 23 = 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403*x - 1403*x + 2804*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-36)\/(-10) - 4)*15. Solve x*h - 5 = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1087*u + 5434. Let a be r(5). Let m = -7 - -4. Put a, m, 13 in decreasing order.\nAnswer: 13, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - (27 - 0)) + -34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -564?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowjjojomvmo. What is prob of picking 3 j and 1 o?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -177 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t - 3*t + 0*t + 4*t + (-2 + 1 + 2)*(3 + 2*t - 3) + 4*t - 2*t - 3*t + t + 0*t + 0*t)*(4 - 6 + 5)*(9 - 26 + 4).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92890613 is divided by 855.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 70. Suppose 0 = 2*h - h + b*r + 11, 0 = h + 5*r + 16. What is the lowest common multiple of 3 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = 5*n + 4*m, -3*n - 3*m = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 + 2\/(30\/(-63))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:46 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/24 - t**3 + t**2\/2 + 4*t. Let l(v) be the first derivative of s(v). Determine l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30*9\/18*-18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*l**2*m + 13149*b*m**3 + 243*b*m + 5*l**2*m**2 + 60*l**2*m + 3*l**2 + 56*l*m**3 - 4*l*m + 3*m wrt m.\nAnswer: 78894*b*m + 10*l**2 + 336*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**2 - 2*s + 1. Let x be 6608\/26 - 9\/((-351)\/(-6)). Let z = x - 243. What is the remainder when h(-2) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8776*a. Let s(f) = 1507*f. Let i(b) = -335*b. Let k(x) = 18*i(x) + 4*s(x). Give k(q(z)).\nAnswer: -17552*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i - 1. Let u be 2\/(-3 - (-1)\/1). Let j(c) = -28*c**2 - 21*c - 21. Let w(a) = u*j(a) + 21*z(a). Let f(m) = -m**2. Determine w(f(o)).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116, -1115, -1114, -1113, -1112?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 25. Let s = x + 22.00000013. Round s to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 5*k**3 + 3 + 4*k**3 + k**4 + 6*k**2 - 5*k**2 to the form w*k + t*k**3 + p + z*k**4 + n*k**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 11654006863 and 2.\nAnswer: 11654006865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose -c + y - 2 = 0. Let a be -2 + 4 + c + 3. Solve -5*n + 26 = -2*u, -a*u + 2*n = -0*n + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-26)*g\/(g\/g**(10\/11)*g*g)*g assuming g is positive.\nAnswer: g**(-287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -430094 times 0.0173\nAnswer: -7440.6262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 6, k: 3, f: 3, x: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/9315*46)\/((-6)\/(-5)*1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/101232 and -85\/208?\nAnswer: 1316016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4557194940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4737, -5942, -7157, -8388, -9641, -10922, -12237, -13592?\nAnswer: -14993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11801, -23598, -35361, -47072, -58713?\nAnswer: -70266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 593? (a) -5 (b) -4\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 111, -3, -38, 0 in descending order.\nAnswer: 111, 0, -3, -5, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbii when four letters picked without replacement from jjjjjjjjjjijjbii.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {j: 1, q: 1, d: 2, e: 2, n: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 138938581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*b + 27*b + 8. Suppose -4*x = -b*x + 8. Determine i, given that -7 + 36*i**3 + 44*i**x - 13 + 4 + 24*i**3 - 32*i = 0.\nAnswer: -1, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 7*x - 3*x + 17*x. Let b(q) = 1 - 1 - 16*q**2 - 17*q**2. Calculate b(z(g)).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 10, 0 = l + 4*r + 3. Let z(s) = -s**3 - 7*s**2 - 3*s - 2. Is z(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 15, -5*p - 14 = -2*z - 79. Let x = -26 + 45. Suppose 5*h + 6 - x = 4*m, 0 = 4*h - 2*m - 14. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.8 + -17.8. Let m = -29 + 22.3. Let a = z + m. What is the third smallest value in 2, -2\/9, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12263899681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/9))\/m*m**(-2\/13))\/(m**(-1\/2)*m)**(-33) assuming m is positive.\nAnswer: m**(3773\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3246 and -89\/9738.\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-2*1)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810 and 30?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6 - (-10 + (-1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.218 + -125.218. Let k = r + 124.9. Let n = -0.8 + 0.4. What is the biggest value in k, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 40710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5 - 3) + -28 + 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 5, -23, -7270\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17.0007 decades?\nAnswer: 2040.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 1, 485?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 22*z**2 + 389*z + 9. Let d(c) = -4*c**2 + 4*c - 2. Determine 4*d(n) + x(n).\nAnswer: 6*n**2 + 405*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27299*3\nAnswer: -81897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let r(a) = a**2 - 22*a + 22. Let n be r(21). Let i be 0\/(-5 - (-5 + 2)). Sort v, n, 4, i in descending order.\nAnswer: 4, v, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(153) + -1 + sqrt(153))*2 - (0 + 3*(sqrt(153) - (sqrt(153) - sqrt(153)*1))))*-1)**2*-5.\nAnswer: -845 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -13*i**2 + 11*i**2 + 11 + 3*i**2 + 8*i. Let g be v(-6). Let c(u) = -9*u. Determine c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, 0.01, 0.2.\nAnswer: -1, -2\/9, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 38874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 800 = 5*u. Let a = u - 159. Which is smaller: a or 2\/527?\nAnswer: 2\/527","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8664 * -26.7.\nAnswer: -231328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k**3)\/((((k*(k\/(k\/k**(-3\/8))*k*k)\/k)\/k)\/k*k)\/k**(1\/3)))\/((k**0)**14)**(3\/4) assuming k is positive.\nAnswer: k**(-505\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 56, 33 in decreasing order.\nAnswer: 56, 33, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 26*u**2 = 0 for u.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6033002*o - o**2 - o**2 - 6033019*o.\nAnswer: -2*o**2 - 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 6*u + 6. Let c be x(6). What are the prime factors of (1\/c*-3)\/((-10)\/4040)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 - c + 2. Let p(b) = -24*b**3 - 15*b**2 + 3*b - 30. Give 15*l(g) + p(g).\nAnswer: -39*g**3 - 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 17302653 and 121118576\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-5)*((-945)\/(-18))\/7. Suppose -j + 9 = 3*o, -2*o + 3*j + 19 = 8*j. Let k be (2 + (-30)\/p)\/((-6)\/o). What is the second biggest value in -7, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 - 19*w**2 + 70*w - 47. Let s(z) = 11*z**3 - 37*z**2 + 140*z - 93. Let b(t) = -7*p(t) + 3*s(t). Factor b(f).\nAnswer: -2*(f - 5)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720981 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 11 in increasing order.\nAnswer: -3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 15316*j + 352463. Determine c(-23).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(468)*1*4*-1 + 3*(sqrt(468) + sqrt(468)*2)*3)**2*6.\nAnswer: 1485432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u + 2*u + 2*u. Let l(p) = 6*p. Determine s(l(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 8*g - 10. Let y be q(-5). Put y, -11, -5, -1 in descending order.\nAnswer: y, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41564, 80381, 119198?\nAnswer: 158015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 4*z**2 + 3*z + 1. Let f be k(-2). Let h(w) = -54*w - 47. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -1. Let o = 8 + b. What is the remainder when 28 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8))*-6.\nAnswer: -12*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-68)\/(-18) + 20\/90)*1. Suppose -3*z = -6*z + u - 17, 5*z = -v*u - 17. Is -1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2 + 0 + 2*w)*(1 + 4 - 3)*(2 - 5 + 2).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2686*(-17187)\/4044?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13066018 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.101? (a) 1\/2 (b) 3 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 + -90. Let s = 334417613.3 - 334417479.2999923. Let o = s - v. Round o to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -2\/13, 51, 2\/3, -29, -3\/4 in decreasing order.\nAnswer: 65, 51, 2\/3, -2\/13, -3\/4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2))**(-43) assuming z is positive.\nAnswer: z**(-129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 151*v - 703. Calculate k(70).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 10. Calculate k(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74639.2 minus 1411.82892?\nAnswer: 73227.37108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*m + 6 = 0, -2*q - 3*m = -3*q + 7. Let r(o) = -3*o**2 - o + 1. Let u be r(q). Put 3, u, -4 in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 24*r + 42 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.76 + -46.26. What is the closest to 0 in u, 3, -1469\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2785 divide 455953210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108295 and 847?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 80. Which is the nearest to -63? (a) r (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186664 divided by 15614?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 26, -11, -64?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 232, 219, 184, 115, 0, -173, -416?\n\"Answer: -2*p**3 + p**2 - 2*p + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*w = -18, 5*a - 3*a - 10 = 4*w. Solve -26 = 5*i + 5*s - 1, -s = a*i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*m = -676*m - 88 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q - 12. Let s be v(-10). Suppose 0 = 325*y + 9004 - 16734 - 14695. Calculate the highest common factor of s and y.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.01 + -0.01. Let c be (-4 + 3)\/(5\/(-15)). Sort j, -1, c in increasing order.\nAnswer: -1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4\/5*p**3 - 16\/5*p**2 + 0 + z*p = 0. Calculate p.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-16 + 10 + -3)) + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -80, 0.\nAnswer: -80, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4113, -4170, -4227, -4284?\n\"Answer: -57*x - 4056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/63)\/(3\/1206). Suppose -223 = -3*i + 2*l - l, -r = -2*i - 3*l. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-640)*(-850)\/(-1020)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/37, 891067.3, 2\/7?\nAnswer: 891067.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 1839930.\nAnswer: 29438880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177760435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096 - -0.5?\nAnswer: -1095.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 = 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 151098, 151098, 151102, 151110?\n\"Answer: 2*t**2 - 6*t + 151102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3008\/21 - -1005\/7. Find q, given that 1\/3 - v*q**2 + 1\/3*q - 1\/3*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 + 30*n**3\/7 - 152*n**2\/7.\nAnswer: 2*n**2*(n - 4)*(n + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7887.748 millilitres to litres.\nAnswer: 7.887748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*z + 3*z**3 + z**4 + z**3 - 2*z**3 + 71*z - z**2 to the form s*z**4 + r*z + a + o*z**2 + k*z**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15925*i = -5*a + 15927*i + 34, -5*a + i + 32 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*g = 16 - 30, -2*r = -3*g - 18. Factor -46*j**3 + 3*j**4 - 64*j**2 + 10*j**r + 25*j**2.\nAnswer: 3*j**2*(j - 13)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571.95554 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**3 - 2*j**2 + 2*j - 2. What is the units digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) 0.3 (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 239c - 18?\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7*6\/(-189))\/((-1)\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 11 - 11 - 18*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 2. Let d be w(-2). Let c = -6 + d. Suppose -5*f + 37 = 3*a, 2*f - 4*a - c = -2*f. Solve f*r = -m + 5*m + 16, -8 = -3*r + 2*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:03 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151\/36 - 53\/36. Which is the closest to 2\/5? (a) i (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*c + 23 = c, 4*c - 8 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/10 + (-138)\/(-12). Suppose 0 = -4*r - 4*v + 2220, g*v - 8*v + 2202 = 4*r. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 9*r = 30. Suppose -r = -k - 5*s, 0*s + 22 = k - 2*s. What is the lowest common multiple of 18 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 5)\/(8\/(-2)). Suppose 5*z - 4*i = 102, -14 = -z + 4*i - d*i. Calculate the smallest common multiple of z and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2508*i**2 - 555*i**2 + 315*i**2.\nAnswer: 2268*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 736\/10 - (-27)\/(-45). Suppose 0 = -2*y - 21 + x. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 2*c**2 + c. Let n be f(-1). Suppose b = -n*s - 8, s + 3*s = 5*b + 16. Let y(w) = w - 4. Let m be y(3). Put b, 1, m in ascending order.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 63 = 3*x, 0 = -4*w + x - 24 - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:45 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/7)\/((-27)\/(-11529)*61).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8638 (base 9) to base 13\nAnswer: -2b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vstvstvvvtt. Give prob of sequence vt.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6154, -12379, -18674, -25039, -31474, -37979?\nAnswer: -44554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15133*l - 2209397. Give o(-146).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3 + 9. Suppose -v + 2*m = 4*v - q, 0 = -3*v + 3*m. Calculate the least common multiple of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/36 - 20*z**3\/9 + 41*z**2\/6 + 2*z - 5. Solve o(p) = 0 for p.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582740 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(193*w + 53*w + 163*w)*(-2*w - 2 - 1 + 2) to the form d*w**2 + u + f*w and give d.\nAnswer: 1636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:19 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let c = 20 + -14. Let j = 12 - c. Let v(r) = 2*r**2 + j*r**2 - r + r. Determine t(v(u)).\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(5918445\/(-2094621)) - (-54)\/(-2)) + 4\/1.\nAnswer: 2\/453","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*z - 0*z - 444, 0 = -3*w + 2*z + 441. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 714760.\nAnswer: 1429520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1728585, -1728654, -1728723, -1728792?\n\"Answer: -69*d - 1728516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 4.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-240)*-5)\/((-5)\/(-15))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11863, -21949, -32035?\n\"Answer: -10086*p - 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81370, -81322, -81278, -81238, -81202?\n\"Answer: -2*q**2 + 54*q - 81422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 18 = 3*k - k, -5*o = -4*k - 34. Let g be (-2)\/((-3 - 2)\/5). Suppose -g*v = -4*v + o. Solve 0 = -2*c - 3*c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**2 - 167*l + 2. Suppose 0 = -8*f + 175 - 7. Let x be m(f). Solve 2*s - x + 17 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 143*k - 1326. Give u(8).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (138\/(-10))\/(-1*1\/10). Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 3, e: 1}. Give prob of sequence en.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52183 in -0.04, 3\/5, 1\/2, 5, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12240981?\nAnswer: 3, 353, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1053) + -1 + 2 + -1*(sqrt(1053) + 0) - (sqrt(52)\/(sqrt(28)\/sqrt(7)) + sqrt(13) + (sqrt(832)*-2 - sqrt(832))))*-3)**2.\nAnswer: 396*sqrt(13) + 56637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t + 2. Let c be g(-2). Let l(s) = -s + 7. Let b be l(3). Suppose n = -b*n. Solve 2 = -2*y, -3*o + 2*y + c*y + 5 = n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m - 201. Let b be c(-34). Let y(j) = 72*j**2 + 11*j - 9. Does 42 divide y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 415324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*19\/(-2090))\/((55\/2)\/(-11)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1106, 1123, 1140, 1157, 1174?\n\"Answer: 17*q + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 266?\nAnswer: -18\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 4*g = -590. Suppose 15*t = g + 16. Let f(y) be the first derivative of -y**3\/3 + 3*y**2\/2 + 2*y + 3. What is f(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 13202164?\nAnswer: -13202162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1457900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**5*u**3 - 48*h**4 - 2*h*u**3 + 2*h*u - 388*u**3 wrt h.\nAnswer: 100*h**3*u**3 - 576*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + (-8 - (-32)\/(-8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*g + 799717*b + 22272*g + 10 wrt b.\nAnswer: -2*g + 799717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 287*x**2 - 19*x**3 + 287*x**2.\nAnswer: -19*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -11 + 0 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l**2 - 2265*l + 85. Determine v(126).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.6, 2\/19, -6127?\nAnswer: -6127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:38 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*n - 1 - 4.\nAnswer: -5*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -79. Let p = m - 57. Which is greater: p or 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1299*j - 32256 = -1005*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1688 - 892. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2. Let s(j) = -2428 + 2428 + 0*j**2 - 3*j**2. Determine k(s(r)).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*i + 16, -2 = -3*i + 2*i. Suppose 4*m = j*c - 12, -3*c - 16 = -5*c + 4*m. What are the prime factors of 43 + 2 + c - 3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4689164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 21. Suppose -q*r + 3*r = 6420. List the prime factors of r\/(-9) - (-1)\/3.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**5 - 485*n**4 + 1990*n**3 - 3010*n**2 + 2015*n - 505.\nAnswer: -5*(n - 1)**4*(n + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 2*a**4 + 4*a**4 + (-2 + 3*a + 2)*(0 + 2*a**3 + 0) + a**3 + 2*a**4 - a**3 to o*a**3 + u*a + b*a**2 + t*a**4 + d and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*d + 87 = 0, 9*b - 6*b - 48 = -d. Let z(k) = k**3 - 12*k**2 - 43*k - 30. Let t be z(b). Solve -x - 3 = -t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/42*u**4 - 2\/7*u**2 + 1\/21*u**3 + 11*u + 0. Factor w(k).\nAnswer: 2*(k - 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/16*(-772)\/10615.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4480\/(-480)*(-57)\/7 + -9.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -g - 3*g - h, 2*h = -4*g + 28. Let l(r) = r + 3. Let p(n) = 1. Determine g*p(o) - l(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51851554 by 458.\nAnswer: -113213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-69)\/(-1*(-21)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - r)*(-4 + 7 + 7) + (-r + 0*r - r)*(5 - 2 - 1).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5 take away 44890157?\nAnswer: -44890142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let x(t) = 3 + t - 2 + 3 - t**2. Let o be x(3). What is the smallest value in q, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (216 - 216 + 15*l)*(l + 1 - 1) - 6*l**2 - 173*l**2 + 34*l**2 as f*l + c*l**2 + z and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 4*f**3 + 4*f**3 - f - 4*f**3 + f + (-4*f**2 + 3*f**2 + 2*f**2)*(2*f + 2 - 2) - 6*f - 2*f**3 + 6*f + (2*f**3 + f**3 - 2*f**3)*(-2 - 2 + 3).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 5, -85, -1 in increasing order.\nAnswer: -85, -3, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 12:42 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 5, b: 8}. What is prob of picking 2 b and 2 y?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6 (base 14) in base 11?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -2*d**6\/3 - 37*d**3\/3 + 6. Find the third derivative of t(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-400)\/(-22) + 2\/(-11). Let k = -9 + m. Suppose 3*j - 7*j + 32 = -u, -8 = -2*u. What is the lowest common multiple of k and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -0.3. Let f = -1.01 - 0.09. Let t = f - -1. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 2 - (52 - -28) - (-2 - (9 - 2))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 + 3*x - 4. Let b be w(-5). Suppose -5*m - y + 245 = 0, -243 = -4*m - 4*y - b. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -949.689943 to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*y - 18 = -26*t - 140*y, -4*t = y + 121 - 133 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*h**3 - 3*h + 1409*h**3 - 8*h + 675*h**3.\nAnswer: 2303*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/5)\/b)**(-12\/17))**(2\/17) assuming b is positive.\nAnswer: b**(216\/1445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 39. Give i(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -253979.122 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z - 87*z - 79*z + 5*g - 58 = 80*z - 328*z, -2*g + 26 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2)*(-56)\/(-6). Let z(k) = -k**3 - 5*k**2 + 10*k - 20. Let y be z(-7). Let w be 304\/y + (6 - 6\/3). What is the highest common divisor of w and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 438123, 438124, 438125?\n\"Answer: b + 438122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.2 (b) -21 (c) -3 (d) 112 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -5.02. Let d = 28 + -58. Let m = d - -61\/2. Which is the second biggest value? (a) m (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 676 + -521. Solve -157*g = -o*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.4 - -34.1. Let q = -985 - -985.2883. Let d = r + q. What is d rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*u - 3 + 3 + 235*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8436 and -21\/608.\nAnswer: 67488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfsfffsvnvvfbs. Give prob of picking 1 b and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 3*y - 595. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from ktw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -4 - 18) + -44 + 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/((2\/(-14))\/(13*26\/338))\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 28 - 7*q - 2*q + 1 - 1 + (2*q + q - 2*q)*(0 + 2 - 3) - 2*q + 3 - 3 + 4 - 2 - q - q as f + p*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5120450 (base 7) to base 10.\nAnswer: -610085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m - 3*a = -65*m - 20, 2*m + 32 = 4*a for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.94744 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2.3 (b) 2\/9 (c) 3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*x + 4*t + 59, 4*x - 128 = 4*t. Put 4, x, 0.065 in increasing order.\nAnswer: 0.065, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -725983013 and -725983012 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 72*a**2 - 81*a + 257. Calculate d(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let b(x) be the second derivative of -5*x**4\/4 - 13*x. Calculate w(b(n)).\nAnswer: 225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103688\/54*(-7 - 17\/(-2))?\nAnswer: 2, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 686015*l**3 - 685805*l**3 + 1371773*l**3 + 4.\nAnswer: -47*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65349624.\nAnswer: 2, 3, 23, 118387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -29*m + 4*m + 21750. Which is smaller: 879 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((-2 - (2 + (-15 - 2))) + 662 + -666)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 11, -14, 3, 1\/4, -1\/26, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 * -0.83045.\nAnswer: 66.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 1. Let j(d) = -d. Let o be j(-1). What is the units digit of a(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 11*k**2\/4 - 5*k\/4 - 1\/2 = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 6*l + 22 - 4*l + 2*l**2 - 4*l. What are the prime factors of d(11)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-10) - (-9)\/15. Let v(z) be the second derivative of z**5\/20 - 2*z**4\/3 - 4*z**3\/3 - 7*z**2\/2 - 30*z - 4. Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -16. Which is the nearest to -0.2? (a) 3 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573533098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(24) - (sqrt(24) + 1*sqrt(24))))\/sqrt(12) + -3 - -5*((-6*sqrt(2)*-2)**2 - ((4*sqrt(8))**2 + sqrt(2))).\nAnswer: -10*sqrt(2) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*x - 91 = -991, -1193 = -4*g + 3*x. Suppose g*w = 300*w. Let d(b) = -2*b + 11. What is d(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.3043123.\nAnswer: -0.9129369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 + -11179997\nAnswer: -11179998.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n - 25 = 48*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11197 + 0.01197. Suppose 5 - 1 = -2*p. Which is the biggest value? (a) o (b) p (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299699 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, -42766.74 in decreasing order.\nAnswer: 3, -1\/2, -42766.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -177*u - 1265. Give o(-8).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -58 - 20*g + 54 + 19*g. Calculate the least common multiple of 26 and m(-10).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/4, 6, -106, -553, 5, 0.3?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -15*h**2 - 12 + 34*h + 14*h**2 - 80*h. What are the prime factors of v(-21)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(769*l - 1546*l + 724*l).\nAnswer: -53*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 1. Let p be t(3). Let d = 280 + -260. Calculate the lowest common multiple of d and 1 + p\/(-2)*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856105 divided by -571221?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/511 and 95\/4.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 2*g**5 + 1 + 0*g**3 + (4*g - g**2 - 4*g)*(-g**3 - g**3 + 3*g**3).\nAnswer: g**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 1 - 4 - 0) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhkc when four letters picked without replacement from kkcchccchckhh.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2922142 and -71\/4.\nAnswer: 5844284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 46\/17, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6))\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - (3 - 6)) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 211 and 0.50626?\nAnswer: 106.82086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 20, 2050 = 5*h - 5*a. Suppose n = -n + 5*k + h, 4*n - 816 = -4*k. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*x - 19, -2 - 18 = -4*x + 4*v. What is the greatest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/10 - 103*n**4\/5 + 633*n**3\/10 + 623*n**2\/5 - 836*n\/5 = 0. What is n?\nAnswer: -209, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.1, 767508?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 8*l**2 + 9*l - 7. Let b(t) = -t - 3. Let s be b(-4). Let i be (1*(s - 8))\/(-1). Is v(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36166?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112120 (base 3) in base 6?\nAnswer: 30410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -240.000000154. What is l rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 0.23. Let v = -3058.4 - -3058.7000064. Let b = v + d. What is b rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8113356*f*l - 10435159*l wrt f.\nAnswer: 8113356*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*c + (29 + 10 + 0)*(8 - 8 + 2*c)*(0 - 2 - 1) as d*c + b and give d.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.5. Let p = m - -0.535. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 13 = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 8 - (0 - -1)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1631 + -2e?\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4\/3, 0, 35.2, -5, -0.29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*m - 4072, m = 4*q - 26 + 848. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3 + 3)*(-7 + 2 + 3) + 1808 - 8115*w + 1841 - 3649 - 5 + w + 5 + 2*w - 4 + 4 + (-w + 4*w - 2*w)*(4 - 2 - 1) - w + 0 + 0 - 3 + 3 - 2*w.\nAnswer: -8112*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:09 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75408 - 247875 = -39*q + 642006. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -43. Let s(m) be the third derivative of -1\/60*m**p + 0 + 1\/3*m**3 + 0*m + 1\/24*m**4 + 2*m**2. Solve s(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r)**(4\/23))**44\/((r**(-2\/7)\/r)**(3\/20)*(r**1\/r)**11) assuming r is positive.\nAnswer: r**(31421\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 303 + -131. Let y = u + -167. Let b = -5.6 - -0.6. Put -4\/7, y, b in ascending order.\nAnswer: b, -4\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262 + 266. Suppose -5*z - 10 = 2*a, n - 9 = -3*z + a. Solve z = -3*f - 5*o, -6*o + 2*o = 4*f - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*(3 - 4))\/(-1). Differentiate p**2 + 2 + 0 - 3*p**2 + i*p**2 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Let r(w) = 2*w**2 - 10*w + 5. Let v be r(a). Suppose -2*x - v*m + 28 = -6*x, -5*m = -20. What is the third biggest value in 0.2, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -36*f - 21. Let g(a) = -7*a - 4. Let b(n) = 21*g(n) - 4*w(n). Let j(p) = 13*p**2. Determine b(j(d)).\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 6*a + 5. Let u(k) = -10*k**2 + 18*k - 16. Let y(i) = -5*u(i) - 16*x(i). Find the second derivative of y(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 smaller than -132936\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1275933*d*y**2 + 12582*d*y + 72*y**2 - 24219*y wrt y?\nAnswer: -2551866*d + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 200 = 3*w - 0*m, 5*m = 5*w - 310. Calculate the highest common factor of w and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4, 3, -237.3088 in descending order.\nAnswer: 3, -4\/3, -4, -237.3088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 1 in ascending order.\nAnswer: 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let l be x(8). Let m(i) = 18*i**2 - i + 3. List the prime factors of m(l).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - -12) + -5 + (15 - (-4 - 5 - -24)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 18 = 3*l. Let x be (-1)\/(-2)*0\/(-2). Suppose y + y - l = x. Solve j + 2*m - 7 = 0, -7*m = 3*j - y*m - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 16 + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12) - 290\/(-696))*(11 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 0*u**4 + 4*u**4)*(-631*u - 23 - 21 + 44).\nAnswer: -631*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116\/5 - 113\/5. Suppose -10 = -2*u - 2*q, -2*u + q = -5*u + 5. Let j = u + -2. Which is the closest to 2\/5? (a) j (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - g**3 + 3)*(2 - 2 - 2*g) + 2*g**4 - 8*g**4 + 0*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 - (-83 + 130)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 166*v**3 + 34*v**2 - 34*v - 66. Let j(h) = -15*h**3 - 3*h**2 + 3*h + 6. Let g(k) = 68*j(k) + 6*l(k). Differentiate g(s) wrt s.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 231482, -5 in ascending order.\nAnswer: -5, 14, 231482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 3?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2 + 3 + 9 - 3 + y. Let k be s(-3). Suppose k*a - 5 = -1. Sort a, -5, 2 in increasing order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1111766ml in litres?\nAnswer: 0.0001111766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v + 1. Let y(f) = -7*f. Calculate z(y(d)).\nAnswer: -28*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110101110110100 (base 2) to base 14\nAnswer: a096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1820)\/728)\/((-10)\/56)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 414 (b) -2\/15 (c) -3\/2 (d) -3 (e) -824\/7 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 209591.594 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h + 77*h - 18*h)*(0 + 2*h**4 + 0)*(4 - 2 - 1).\nAnswer: 64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 44 = 5*k + 10, -5*q + 7*k = -46. Solve -3 = -2*n - n - h, 4*h - q = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-5)\/(-150)*-4*76\/(-16)*-15?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(6*3*sqrt(650))\/(-6*(sqrt(200) - sqrt(200)*1) + sqrt(200) + sqrt(200)))**2.\nAnswer: -18954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5495 + 5491. Sort 2, 182, c in increasing order.\nAnswer: c, 2, 182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*a + 155 + 210*a + 562*a**2 + 2046*a**2 - 153 to t + c*a**2 + d*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 281*j**6\/20 + 2*j**5\/15 - 9*j**4\/8 + 3*j**2 - 13. Find the third derivative of v(n) wrt n.\nAnswer: 10116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-5)\/((-210)\/(-28))). Solve -5*g = u - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8696 - 8857.27. Let i = 160.94641 + f. Let a = 0.322 + i. What is a rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4*h - 21. Is 17 a factor of g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6603026*d*y**2 - 7222525*y**2 with respect to d.\nAnswer: 6603026*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 2 - (0 - 3). Let n(v) = v**2 - 5*v - 4. What is the units digit of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*h + 605 + 952 + 488 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*p - 19 = -d, 0 = -5*d + p. Is 1\/20 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, w: 6}. What is prob of picking 3 n and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 832160 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/24)\/(185\/5550)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -3*p + 83. Let m = 120 + p. Calculate the remainder when m is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3867 and 9.9.\nAnswer: 3876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2114 or 2117?\nAnswer: 2117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 - 2557312*w + 5 + 2557312*w - 8*w**3. Let i(b) be the third derivative of -b**6\/30 - b**5\/30 + b**3\/3 + b**2. What is -2*a(o) + 5*i(o)?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + 6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 43*g - 244. List the prime factors of w(16).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(72)\/sqrt(4))\/((sqrt(54) - sqrt(6))*3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -p + 1, -5*p + 6*p - 9 = x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*o**5 + 89*o**4 - 46485*o**2 wrt o?\nAnswer: -2880*o**2 + 2136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -15*g - 15. Let d(f) = 44*f + 43. Let l(q) = -4*d(q) - 11*y(q). Let s(b) = -4*b. Calculate l(s(n)).\nAnswer: 44*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*a - 3 - 23, 4*g - 8 = 3*a. Suppose -9 = -7*i + a*i. Sort 4, -2, i.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 162, 371, 586, 771, 890, 907, 786, 491?\n\"Answer: -6*t**3 + 39*t**2 + 134*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126766705?\nAnswer: 5, 13, 17, 89, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28926582?\nAnswer: 2, 3, 4821097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 - 3*i + 4. Let y be (0 - 0) + 5 + -8. Let s be u(y). Solve 3*q + 12 = 5*c - q, -s*c = -2*q - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 72*k - k**2 + 33*k.\nAnswer: k**2 + 105*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2 - 3) - -1. Let w(s) = s**3 + 9*s**2 - 72*s - 19. Let o be w(-14). Solve 5*g - 5*y = 30, 4*g = v*g + y - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12754.5 + 12754. What is the closest to -0.1 in 18, l, 0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*j + 3*j - 5*y, 4*y - 15 = -j. Suppose -2*v + 48 = -4*k, -2*k + 5*v + 90 = -7*k. Let m = -10 - k. Calculate the remainder when m is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 112*f**6\/5 + 1363*f**2\/2 + f + 325. What is the first derivative of c(j) wrt j?\nAnswer: 2688*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -164660.\nAnswer: 3\/82330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.7.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6298135.\nAnswer: 5, 1259627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a7 - 67a2?\nAnswer: -7199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/54 and 2*(-404)\/64*4\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28574, 28114, 27326, 26210, 24766, 22994, 20894?\nAnswer: 18466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k. Let n(y) = -y. Let t(r) = -7*n(r) - 3*p(r). Suppose 0 = -2*z - 6, 3*q - 2 = z + 4. Let i(j) = 1 - q - 2*j. Determine t(i(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/80 and -29\/176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -200, -299, -396, -491?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**1*s)**(-15)\/(s\/s**1)**(-38))**(-22\/7))**43 assuming s is positive.\nAnswer: s**(42570\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 15. Suppose -5*z + 41 = s*l - 43, -5*l + 112 = -z. Suppose -1 = -4*h + l. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14915 and 8635?\nAnswer: 164065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 32*h + 42. Suppose 10*x = h*x - 462. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 + 5*g - 10. Let j be y(-7). Suppose -2*r - 2 = -j*b, -r - 6 + 14 = b. Suppose 79 = m - 5*o - 313, 0 = b*m - 3*o - 1188. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d45 (base 16) to base 4\nAnswer: 1311011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 + 0\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(50\/(-21)))\/((-3)\/((-8)\/(-8)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:09 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j - 2. Let z be b(0). Let c be ((-48)\/168)\/(z\/14). Solve 0 = -5*m - 4*l + 7, 3*l + 17 = c*m + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 9. Let z be y(2). Let x(i) = 12*i**2 + 4*i + 6. Is x(z) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (-11 + 1) - -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:22 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-91)\/45 + 1) - 0. Is s <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242294, -242300, -242306, -242312?\nAnswer: -242318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -4?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*m**2 + 0*m**2 - 174*m**2 + m**2 - m**2 + m**2 + (-3*m - 3*m + 4*m)*(-2*m + m + 0*m))*(7 + 19 - 6) to x*m + u*m**2 + k and give u.\nAnswer: -2660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9756 - 9756. What is the closest to h in 0.2, 0.3, 2\/13, -61?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2882 and 4978?\nAnswer: 54758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4728 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**3 + 44*q**2 - 302*q + 644. Let l(u) = u**3 - u + 1. Let o(c) = a(c) + 4*l(c). Factor o(f).\nAnswer: -2*(f - 9)**2*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - w = 21. What is the third derivative of 10*b**4 + 5*b**4 - 26*b**2 - w*b**2 - 16*b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -936 - -1317. What are the prime factors of u?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129639841, -259279691, -388919541, -518559391, -648199241, -777839091?\n\"Answer: -129639850*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3071 is divided by 206?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 8:03 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 3*t**2 - 17*t**2 + 6*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 2*o - 3. Let y be g(3). Let f = -10 + y. Suppose s + 10 = f*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*t - 3)*(-1 + 1 - 2)*(-10*t - 24*t - 4*t + 2).\nAnswer: -228*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/3 - 2\/1. Let n = -9 + b. Suppose -w = -7 + n. Solve 2*m + 3*m = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2282172 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 186, 259, 332, 405, 478?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 73. Suppose t + 3*v - 4 - 9 = 0, t = o*v - 11. Solve y + t = f, -y - 2*y + 4*f = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2047103411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w. Let n(z) = z - 1. Let i(l) = -1. Let g(d) = -i(d) + n(d). What is g(a(b))?\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -22c3917?\nAnswer: -22c3915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3660 and (375\/(-45))\/((-1)\/(-6) + -1)?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 6*m - 1. Let a be f(4). Let o(w) = w**3 - 6*w**2 - 4*w - 5. Let c be o(a). Find the second derivative of -c + b + 16 - 3*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 303422846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + 3*f. Let x = 351 + -347. Determine y(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5 + a**2 + 18*a + 5 + 27 - 15. Let c be r(-17). Solve -2*o = c*m + 25, 2*m + 13 = 4*o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)\/w)**(11\/8) assuming w is positive.\nAnswer: w**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let h(n) be the first derivative of 0*n**2 + 1\/12*n**4 + n + 1 + 0*n**3. Let j(m) be the first derivative of h(m). What is v(j(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 0. Let n be (1364\/40)\/(j\/(-8)). Let i = n - 136. What is the second smallest value in i, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12357 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*u**2\/7 - 121780*u\/7 + 243904\/7.\nAnswer: -2*(u - 2)*(43*u + 60976)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-4 - 26) + 98\/12. Solve 0 = f + 3*f - a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 50334*b + 2. Let y be j(-3). Round y to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c**3 - 2*c**2 + 2*c. Let j(u) = u**3 - u**2 - u. Calculate 4*j(m) + v(m).\nAnswer: 15*m**3 - 6*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose -j*c + 6 = -c. What is the smallest common multiple of c and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*o + 0 = 6, 5*c + 2*o - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -64, -137, -230, -337?\n\"Answer: b**3 - 19*b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2\/11, 5, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -80952.28877 to the nearest one hundred.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20228 (base 9) to base 8.\nAnswer: -31776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-103)\/1 + 33\/((-99)\/(-24)). Let p = -3 + 3. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*c - 14, 2*c = -3*t + 5 - 15. Let q = c - -3. Let y = 11 - 7. Solve y*p = -3 - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.4 (c) 3534\/13 (d) -0.049 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27743.538us?\nAnswer: 0.0004623923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.28 and 218?\nAnswer: 217.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*s + 36*s - 544*s.\nAnswer: -622*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.49.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**2 - 99*p - 7. Determine n(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008 divided by -1.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62842*30.\nAnswer: 1885260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -111*o - 2004. Calculate s(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 18. Which is the fourth smallest value? (a) 2 (b) -2 (c) -0.2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 18386.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x - 3. Let h be i(-6). Let o be 1*4\/((-32)\/(-3)). Which is the nearest to 0? (a) o (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(11) + (sqrt(176)*3 - sqrt(11))) + -5*2*sqrt(11) + -4)**2 - (sqrt(352)*-2 - sqrt(22))\/((sqrt(128) - 3*sqrt(128) - sqrt(128)) + sqrt(2)).\nAnswer: 4039*sqrt(11)\/23 + 5340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.185853 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 467472, 935025, 1402578, 1870131, 2337684, 2805237?\n\"Answer: 467553*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5 + 3 - 6 + n. Let m be j(0). Suppose 0 = -m*i + 9 + 3. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and 14\/(-35)*470\/32.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 - 17*q + 31. Let m be l(-7). Which is the closest to -0.28? (a) m (b) -0.5 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h**2 + 239*h + 201. What is u(21)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 1187 = 227. Solve 0 = -3*t - 35 + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/4*(-39 - -35). Let n be (-3)\/(-6)*1 + 257\/2. Calculate the highest common divisor of f and n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 392, 591, 792, 995, 1200?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9788.553g?\nAnswer: 9788553000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2861300 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.4 + 77. Let h = y + 6. Let b = 15\/34 - 19\/34. Sort h, 0.1, b in increasing order.\nAnswer: h, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a year in months?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280465 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 850286233 to the nearest integer?\nAnswer: 29160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5956.6.\nAnswer: 11913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1. Let b(j) = -j - 5. Let y(a) = -b(a) - 6*k(a). Let q be y(9). Solve -x + 5*x = -q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -26.3. Let u = -0.3 - h. Which is smaller: -9\/2 or u?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 5. Let t be 3\/(-2) + 3\/(-6). Let n be 0\/(1 + (-2)\/t). Put f, n, -4 in decreasing order.\nAnswer: n, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqqfnkd. What is prob of picking 1 f and 2 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -27*m**3 + 5*m**2 - 7*m - 5. Let p(t) = 13*t**3 - 2*t**2 + 3*t + 2. Let d(s) = -5*p(s) - 2*u(s). Suppose 5 = -5*z - 0. Is 6 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59318*c**3*q**2 + 2*c**3*s + c**2*q*s + 34*c**2*s - c*q**2 - 18*c*s wrt c?\nAnswer: -355908*q**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -3)\/((-6)\/16). Let k be 9\/z - 15\/(-20). What is the third biggest value in 2, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51919 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*j**3*s**2 + 6398281*j**3 - 10174*j**2*s**4 wrt s?\nAnswer: -38*j**3*s - 40696*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -13. Let j = p + -10. Solve 6 + j = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0 + i)*(26 + 0 - 9)*(-i - 2*i + 5*i)*(0*i + 0*i + 4*i) to y*i**3 + m*i**2 + l + n*i and give y.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 2*h**5\/5 - 20*h**4 + 800*h**3\/3 - 92. Suppose l(t) = 0. Calculate t.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-10)\/30)\/((6\/(-140))\/(1440\/50)) and 364.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010000110110 (base 2) to base 8.\nAnswer: 132066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + -54. Let t = 109 + j. Let p be 0 - 1\/2*1. Which is the third biggest value? (a) t (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**2 + 6*i - 17. Let u(x) = x**2 + x - 1. Let b(c) = -f(c) + 6*u(c). Find the first derivative of b(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + u - 39905, -3*n + u + 16157 = -7778. Does 114 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -154, -205, -228, -217, -166?\n\"Answer: i**3 + 5*i**2 - 95*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -21, 1170.39?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16833 is divided by 1199?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/280 + (13 - 1980\/105).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*b + 124*b + 39 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -4*c - 4275170, -5*c - 4*y - 5070004 = 273976. Round c to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/12*14\/(-25)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -170*p + 1268. Determine d(8).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11312033 (base 4) to base 16.\nAnswer: 5d8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-14) - ((-165)\/(-35) + 24\/84)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14581973 to the power of 1\/2, to the nearest integer?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*l + 2)*(-l**2 + 0*l + 0*l)*(-2*l - 23 + 41 - 15) in the form c*l**3 + k*l + u*l**2 + h + v*l**4 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2481*o - 803*o - 3 + 401*o**2 - 839*o - 839*o.\nAnswer: 401*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 33993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, 1 v, and 1 u when four letters picked without replacement from {k: 1, l: 1, v: 2, u: 2, z: 3, e: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/7, -10 in descending order.\nAnswer: 1\/7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 21*v**5\/20 - 17*v**4\/12 - 20*v - 15. Let s(x) be the first derivative of w(x). Find the third derivative of s(n) wrt n.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 2*b - 82, 140 = 5*u + 5*b. Let w be 9 + 476\/(-52) + 628\/u. Solve -2*c + w = -5*m + 8, -3*m + 9 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1001200?\nAnswer: 1001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:19 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 3\/7, 20 in ascending order.\nAnswer: 0.2, 3\/7, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0 + t + 18*t**2 + 0*t + 1. Let h = 416 - 420. Let f(x) = -18*x**2 - x - 1. Let y(z) = h*l(z) - 3*f(z). Determine y(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 - 24*d**2 + 12*d + 5. Is 34 a factor of v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7691, 15420, 23149, 30878, 38607?\nAnswer: 46336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4588 and 13764.\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-4))\/3*180\/(-330)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 154011012?\nAnswer: 154011003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274254?\nAnswer: 2, 3, 43, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681882110237 minus -3?\nAnswer: 4681882110240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1030 at most -1030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(-4*x + 0*x + x) - 2370*x - 2 + 18 - 9 - 7 as o*x + z and give o.\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7) - 714\/(-147). Put -2, -4, 8, j in decreasing order.\nAnswer: 8, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-132)*-2*(-6)\/(18\/(-3))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*q - 2654*q - 2917*q - 1468*q + 1567*q.\nAnswer: -5002*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -2*q. Solve -l = l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/11, 45, -0.3, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m = 66*m + 70*m + 2090 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -76 - (-17 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21577433*n**4 - 12654*n**2 - 2875?\nAnswer: -517858392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.2 (c) 4 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528065.5mm to kilometers.\nAnswer: 0.5280655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*k + 23643 + 646 = -4057 - 1437 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 2 n when four letters picked without replacement from ztbztzbztzbbbzfbntnb?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 - (3 - 70 - -84).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w + 3*j, 0 = 3*w - 0*w - j. Let m be w\/(-2)*1*10. What is the closest to -0.2 in 4, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (10 - (5 - -12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-192)*345*192\/(-120)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5572166*x**2 - 1393494*x.\nAnswer: -11144332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*r = 98*r - 97*r - 189*r + 8253 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -10, -1\/97660, -0.2, 20 in increasing order.\nAnswer: -10, -4, -0.2, -1\/97660, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 385101 (base 13) to base 10\nAnswer: 1353522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-28) - (-1)\/(-2). Let l = -53\/639 - 2\/71. Let r(u) = -u + 2. Let h be r(-1). What is the third biggest value in l, c, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1272, -5, 162, 4 in ascending order.\nAnswer: -5, 4, 162, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12725547?\nAnswer: 3, 103, 41183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53612 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 83*n**2 - n - 6 + 13 - n - 11.\nAnswer: -83*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 550. Calculate the highest common factor of 45 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -349 in 3, 1, -2, 4, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(12)\/sqrt(3)) - sqrt(200)*-1) + (sqrt(50))**2*-6*-6.\nAnswer: 11*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 2143 in increasing order.\nAnswer: -13, 0, 2143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-3)*1*(-2)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrmxmymy. What is prob of picking 2 m and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-33)*(-2 - (-4 + -4)). Let s(t) = 6*t**3 - 8*t**2 + 6*t + 5. Let n(o) = o**3 - o**2 + o + 1. Let l(q) = 5*n(q) - s(q). Give l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose 16 = b*o + 2*l, -3*o - 5*l - 2 = -4. Let g(k) = o*k - 9 + 9 + 0. Let m(f) = 2*f. Calculate m(g(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/6)\/1)\/((1680\/(-5))\/(-24))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -1, 70.\nAnswer: -3, -1, 0.1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**1*x)**(-14\/13))**(-2\/11))**(-2\/9))**(2\/19) assuming x is positive.\nAnswer: x**(-112\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-460)\/(-40) - 9)*34. Solve 10 - o = -15*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w + 3*w)*(1022 - 2366 + 970).\nAnswer: -2244*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02195344 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 715 and 120?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - (-1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720) - (sqrt(720) + 0 + 2 + sqrt(720) + sqrt(720))).\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) -0.03 (c) 2.7 (d) 11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -14447\/2077?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*7\/(-1701))\/(2\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/((l\/l**(3\/5))\/l))*l**23*l*l**(-23)*l**(-22) assuming l is positive.\nAnswer: l**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*r - 78*r + 72 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5694422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19226)\/(-12) + ((-33)\/18)\/11. Suppose m - g - 4*g - 550 = 0, 3*g + u = 3*m. Is 53 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -940630, -940613, -940596, -940579?\n\"Answer: 17*l - 940647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/28? (a) -3 (b) 16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 12*y**2 - 93 - 9*y + 24 + 19 + 23 - 6*y.\nAnswer: -12*y**2 - 15*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 not equal to 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706312 is divided by 117642.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 7*r - 5*r)*(2*r + 4*r - 4*r + 2).\nAnswer: -18*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1619 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (-19)\/(95\/(-50))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-50)\/(-60))\/((-32)\/96)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 169, 167, 165, 163, 161, 159?\n\"Answer: -2*s + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535888 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210625 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -100003?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/155 and -39\/527?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.455 from -31569.72.\nAnswer: -31566.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -966120 at least -966120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9257 times 55?\nAnswer: 509135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:25 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454 divided by 2.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7 - 10\/7*x**2 - 2\/7*x**3 - 2*x = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c**3)\/(c**(-2\/7)\/c**(-14\/11)) assuming c is positive.\nAnswer: c**(-769\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -97\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 4, 2, -0.3, 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*g + 12, 958*m - 5*g = 951*m + 15. Sort -4, -1, m, -7, 3.\nAnswer: -7, -4, -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*d + 590 - 590 + 115*d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 3*v - v + v + 2*v + 0*v + (0 + 0 - v)*(-2 - 1 - 2) - 1 - 2*v + 1 in the form a*v + t and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 3\/5 (c) -3 (d) -25 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 13*g**2 + 22*g**2 + (3*g**2 + 3*g**2 - 4*g**2)*(0 + 4 - 2).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*b = -2*i - 32, 2*i + 2*b = 16. Suppose -7*k = -i*k - 921. Suppose 2*h = 3*c + k, 5*h = 2*c - 0*c + 773. What are the prime factors of h?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 - 129. What is the remainder when b is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -800 - -798. Put 0, 5, -59, t in descending order.\nAnswer: 5, 0, t, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -1\/6*a**4 + 0 - a + 0*a**2 + 1\/10*a**5 + 1\/6*a**3. Calculate d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52331 + -3020?\nAnswer: 46311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420152?\nAnswer: 2, 29, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h + 3. Let a be y(4). Suppose 13 = 5*l - a*u - 1, 6 = l + u. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 3*a + a**3)*(-2*a + 3*a + 5*a) to d*a**3 + v*a**4 + k*a**2 + i + r*a and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 22*k**2 + 3*k - 29. Let d be v(11). Let c be ((-2)\/6)\/(d\/(-192)). What is the highest common divisor of c and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1546*y**2 + 256637*y - 163. What is t(166)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2102439734?\nAnswer: 2, 317, 3316151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26939*n**2 - 23177*n?\nAnswer: 53878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -43621000 to the nearest 100000.\nAnswer: -43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9924.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204.152628 + -702.152743. Let z = 498 + m. What is z rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - m + 8*m + (-m - m + m)*(-4 + 4 + 2) - 4 + 4 - m)*(12 - 39 - 7 + (0 + 0 + 1)*(0 + 1 - 2) - 1 - 3 + 3) as w + p*m and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x - 5*x - x**3 - 6*x**2 + 1 - 3. Let b(m) = -m**2 - m - 1. Let d be b(-2). Give w(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 495 = -53*u + 2*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -12. Let b be (u - -4)\/(6 + -5). Which is smaller: b or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 5. Let j be s(8). Let w = 7 - j. Let o be (-1)\/((-15)\/w - -2). Sort o, 0, -0.3.\nAnswer: -0.3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 120 = -0*a. Suppose 153 - 1128 = -5*h. Let k = h - a. Calculate the greatest common divisor of k and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.064, 0.08, 32, -0.1 in descending order.\nAnswer: 32, 0.08, 0.064, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 14*m**3 + 103*m**3)*(m + m - 3*m + 2).\nAnswer: -112*m**4 + 224*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -13*h + 8*h. Let y(g) = -12*g. What is the tens digit of y(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.41 times -0.4?\nAnswer: -12.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 7*g + 9. Let f be i(7). Let c(n) = -f*n - 6 + 8*n + 2*n. Let h be c(0). Let o(w) = w**2 + 5*w + 5. Determine o(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/2 + 131985915*w - 5806760586129075\/2 = 0 for w.\nAnswer: 43995305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 1.4. Let h = 0.96 + r. Let z = 3763\/5 - 753. What is the third biggest value in z, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13*q = 96. Sort -5, q, -1 in decreasing order.\nAnswer: -1, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-41)*k*k))\/k**6*(k*k\/((k**(-20)*k)\/k)*k*k)\/k**(-11) assuming k is positive.\nAnswer: k**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 4219b7?\nAnswer: -4219ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8067*w**3 + 199*w - 20?\nAnswer: 48402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2588? (a) -2 (b) 5 (c) -1\/4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zouuzo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*g - 128. Let b(n) = -2*n**2 - 46*n - 33. Is b(g) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -956 - -953. Sort 0, -4, -1, k in descending order.\nAnswer: 0, -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*a**4 + 2*a**3 + 0 + 16\/5*a**2 + 8\/5*a.\nAnswer: 2*a*(a + 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14\/d**(-1\/10))**5 assuming d is positive.\nAnswer: d**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2495879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 683807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2. Let p(z) be the first derivative of 1287 + z**3 + z**3 - 1288. Calculate f(p(j)).\nAnswer: 180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/70 - 3*c**6\/10 + 7*c**5\/5 + 96*c**4 + 1152*c**3 - 7*c**2 - c - 67. Factor n(m).\nAnswer: -3*(m - 8)*(m + 6)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*u + 35, -3*u - 5*q + 31 = -2*u. Let n(f) = f**2 + 5*f - 4. Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*s**5 + 3*c**2 - 2*c + 355*s**5 + 60*s - 1 wrt s.\nAnswer: 20*c**2*s**3 + 7100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149773119 + -5?\nAnswer: -149773123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o**2 - 1. Let x be t(2). Let u = 10115\/996 - 6\/83. Find the common denominator of u and 12\/(-99) - (x - -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.556*26\nAnswer: -14.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x + 26. Let l be w(0). What is the highest common factor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z + 2*z. Let y(m) = -20*m + 1709. Is y(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a0b - -3?\nAnswer: 2a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18616173 and 538617?\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213 - 240 - (2 - 15) - 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 132 + 145 - 254 - 23*g. Calculate q(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y - 2\/3*y**3 + y**2 - 4. Let l be 3*((-16)\/(-6))\/(-4). What is k(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cnlnclnnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -16446441 equal to -180910854\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -353\/12, 51\/4, 6?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248*d**3 + 17*d**2 - 15*d - 4048879 with respect to d.\nAnswer: -744*d**2 + 34*d - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1062.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -40436*h**2 - 56*h - 54. Let o be a(-23). What is o rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2647, 3, 0 in increasing order.\nAnswer: -3, 0, 1, 3, 2647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -29 + 16 + 26 - 32 + 19 + u**2. Let n(w) = -29*w + 6. Let m(f) = -f + 1. Let s(q) = -6*m(q) + n(q). Give h(s(v)).\nAnswer: 529*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*d - 370 = -726 + 375, -21*d + 57 = 3*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*h - 15348 + 15348 + 248*h to the form s*h + m and give s.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 27496800*c - 37803700512000.\nAnswer: -5*(c - 2749680)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1161, 1163, 1165, 1167?\n\"Answer: 2*m + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i**3 + 4*i**2 - 6*i + 4. Let z(b) = 22*b**3 - 5*b**2 + 7*b - 5. Let q(a) = 6*d(a) + 5*z(a). Calculate the remainder when 55 is divided by q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**3 - 2*l**3)*(0 + 0 - 2*l + (2*l + 0*l + l)*(1 + 2 - 4) + 390 + 38*l - 390)*(-1 + 1 + 2*l).\nAnswer: -132*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let t(l) = -6*l - 8. Let z(d) = -2*d - 3. Let q be 1 + 6 + -14 + 15. Let s(p) = q*z(p) - 3*t(p). Determine b(s(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11442636, -11442635, -11442634?\n\"Answer: r - 11442637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let p(v) = -272*v + 96*v - 319*v. Determine m(p(g)).\nAnswer: -490050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 20*i + 20. Suppose -2*h = -3*c - 3*h + 56, 72 = 3*c - 3*h. Let n(t) = -t - 1. Determine c*n(v) + r(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.248 + 169.752. Let v = o - 96. Let t = v + -72. Which is the closest to -4? (a) t (b) 3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146492, -289433, -432374, -575315, -718256?\nAnswer: -861197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = 47*k - 152 - 118 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 553, -19, 197 in ascending order.\nAnswer: -19, 197, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -37. Suppose 5 = -4*v + c. Determine s so that -s**2 + 2*s**v + s**4 + 2*s**2 + 0*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17437)\/(-4027947) - (-1810)\/8778.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -2185, 3 in descending order.\nAnswer: 23, 3, 2, -2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*i + 3*h, -5*h = 4*i - 4*h - 5. Let m(o) = -o**2 - 1. Let a(k) = k**3 + k**2 + 11*k + 33. Let u(c) = i*m(c) + a(c). Differentiate u(s) wrt s.\nAnswer: 3*s**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1856.692 millennia?\nAnswer: 1856692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10851492?\nAnswer: 21702984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 756346268 divided by 189086567\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -23*x**3 + 2*x**2 - 2*x - 3. Give z(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -531101 (base 6) to base 7\nAnswer: -236266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*i**2 - 157*i**2 - 16*i + 1 + 134*i + 240*i**2 as q*i**2 + y*i + x and give y.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/68 and -37\/10329472?\nAnswer: 10329472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = 5*y. Let a = -7 - -7.1. Sort 0, y, a in descending order.\nAnswer: a, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 647*s**7\/6 - s**3\/3 + 775*s**2\/2 + 3876*s. Find the second derivative of q(m) wrt m.\nAnswer: 90580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 82. Let o(b) be the first derivative of 2\/3*b**3 + 0*b + 0*b**2 - 3\/5*b**5 + 0*b**4 + k. Find the third derivative of o(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*(1 - 13). Is 513\/15 - q\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(7*a - 13*a + 42*a) to s + x*a and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence annn when four letters picked without replacement from annnnnnnnaannnnn.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.2 from -7.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79540.\nAnswer: 2, 5, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 - 5 = 0. Suppose 4*j - 12 = -3*r, 0*j - h*j = -4*r - 6. Let c(k) = k**3 - 16. Give c(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22077 - 22071. Which is the second biggest value? (a) -1\/2 (b) r (c) 1 (d) 4\/3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/9 - 3\/(-9). Let u be 2\/3 + (-4)\/v. Suppose -2*q - u*y = 0, 3*y - 1 = -5*q + q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117559533 a multiple of 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 18*j. Let q = 26978 - 26978. Let v(c) be the third derivative of 0*c**3 + 20*c**2 - 2*c + q + 0*c**4 - 1\/30*c**5. Determine v(m(s)).\nAnswer: -648*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 280257 and 14.\nAnswer: 3923598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22168241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76b0 - 0?\nAnswer: -76b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:58 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/532 and -99\/48944?\nAnswer: 48944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14148 and 31536?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.4363t to nanograms.\nAnswer: 561436300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12307425 - -6.9.\nAnswer: -12307418.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/45)\/(4\/50 + 0)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40373, -44912, -52477, -63068, -76685?\nAnswer: -93328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 12. Let k be t(-9). Suppose -4*h = -13 - 15. Let w(i) = -10 + 1 + h + i + 1. What is w(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8888085*0.3.\nAnswer: -2666425.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 4*u - 4. Let k(p) = -2*p**2 + 3*p + 3. Let x(y) = 3*k(y) + 2*v(y). Suppose -99*r + 14 = -106*r. Determine x(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-770)*462\/44?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -236*d**2 - 12977*d + 161. Calculate t(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/2 - 7659760*i + 45958551\/2 = 0. Calculate i.\nAnswer: 3, 15319517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -221*d**7\/210 - 817*d**3\/6 + 81*d**2. Differentiate o(n) with respect to n.\nAnswer: -884*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 17.1, 0.1, 0.7.\nAnswer: -2, -0.1, 0.1, 0.7, 17.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1167 and 249?\nAnswer: 96861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.9 + -65.9. Is f bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - 1*(-2*sqrt(108) + sqrt(108) - sqrt(108)))\/(-1*sqrt(36)\/sqrt(3)))\/(-6*6*(sqrt(147) + (sqrt(147)*2 - sqrt(147)) - sqrt(147)))*-4.\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194921441 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.66 + 3.44. Let h = 0.22 + l. What is the third biggest value in 1, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 47*k**2 - 3308*k + 7589. Determine d(68).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (8 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -27, -22, 3, 54, 137, 258?\n\"Answer: u**3 + u**2 - 19*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143782 * -0.29.\nAnswer: 41696.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**7*l)\/l**0 assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65 - (13 - (-61 - -37))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/12783 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.2 in 2, -5, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9630, 9625, 9620, 9615, 9610, 9605?\nAnswer: 9600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112110 - -22122211?\nAnswer: 22010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:38 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1241, 1862, 2481, 3098?\nAnswer: 3713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.7633 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 19\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h + 4642. Let o(j) = -2*j**2. Calculate i(o(t)).\nAnswer: 36*t**2 + 4642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1071 and 5103?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from {c: 8, n: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41 - 5169*k**2 - 41 + 276*k**4 - 136*k**4 + 311*k**3 - 139*k**4 wrt k.\nAnswer: 24*k + 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnhhhwhbwww. What is prob of picking 3 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/2 - 1151*n**3\/2 - 86829*n**2\/2 - 170209*n\/2 - 42265 = 0. Calculate n.\nAnswer: -1070, -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 6, e: 1, d: 3, w: 1, r: 3}. Give prob of sequence rw.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 2096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -32 - (2 + 0 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 - 2 = j, -5*t - 11 = j. Suppose 0*g - g = -5, -5*l = -j*g - 25. Let r(c) = c**3 + 13*c**2 - l - 2*c**3 + 2*c**2 - 9*c**2 + 8*c. Determine r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 511*d - 4308. What is the thousands digit of h(74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2*u + 2\/3*u**3 - 13 - 5\/2*u**2. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020220 + -10?\nAnswer: -12021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1058\/(-4232)*5*1\/1)\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246210 a multiple of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-2365)\/(-10))*(3 - 5). Let z = o - -563. What is the least common multiple of 165 and z?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*l - 8 - 2, 2 = 3*l + p. Suppose l = -3*i + 3*n - 24, -2*i - 16 = -i - 3*n. Let m(c) = 4*c + 6. Calculate m(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 87 - 41 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/53 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.9 - 10. Which is the third biggest value? (a) -5 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**8*o**4*o\/o**(2\/13))\/((o*o**2)\/o**(-7)*(o**(-2\/5)\/o)**(-23)) assuming o is positive.\nAnswer: o**(-1648\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109 - -5781?\nAnswer: 5673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 1, p: 4, t: 6}. What is prob of sequence ct?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*k, 6*k = 5*w + 2*k + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5)\/(18\/(-897)*-23)*248\/(-26).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 132\/24 - 5\/(-2). Is 8 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(4536)\/((sqrt(2) + sqrt(200))*-4)*-6.\nAnswer: -81*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r + 3. Let j(a) = -a**2 - 6*a - 4. Let i be j(-5). Let t be (1\/2)\/((-1)\/(-8)). Solve 0 = r*w - i + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2553425 + 2?\nAnswer: 2553431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d = -102*d + 24 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 422, 439, 472, 527, 610, 727?\n\"Answer: o**3 + 2*o**2 + 4*o + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 7*s - 65 = -5*p + 35*s - 26*s, -2*s - 9 = -37 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c - c - 97 = 0, 117 = -4*v + 5*c. Let r = v - -40. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 1 - 6 = 0. Sort 3, 0, o in descending order.\nAnswer: 3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250 = 3974*v - 4024*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let o(y) = -415 + 415 - 17*y + 7*y. Calculate j(o(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n = -10715 + 11127 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/15 + -1)*(2 + 1). Which is the smallest value? (a) s (b) 1\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490, 981, 1788, 2905, 4326, 6045?\nAnswer: 8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132303.91 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2695\/1650 + (-45)\/(-20)*(-4)\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 19*z**2 - 125*z + 550. Determine x(12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*p - 7*p = -594 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i - 8*i - 1 + 3 + i to y + j*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 40 = 6*t + 7*p, -23*p = 3*t - 26*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2322 (base 6) to base 2.\nAnswer: 1000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000268187 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-247)\/4901 + (-8)\/(-52)). Solve -11 = -8*p + h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -1\/4, 0 in descending order.\nAnswer: 10, 0, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1 - 12\/(-20))*-110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d = -315*d + 35*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11))**(-45)\/(b**17\/(b\/(b*((b**(-7\/2)*b)\/b)\/b))))**(-33) assuming b is positive.\nAnswer: b**(1365\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9280)\/(-56) - (1 + -1). Let d = r + -166. Let x = -3\/5 - -21\/10. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 81978 = -30282. Is 4\/6*(-90)\/20 - q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004092 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441540 + 20134?\nAnswer: 502114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.7 - 10.6. Let g = f - 18. Let z be (5\/50)\/((-2)\/(-5)). Sort z, 2\/5, g in increasing order.\nAnswer: g, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -392797\/17032208 - -2\/56027. What is the common denominator of 83\/20 and y?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 283 and 124.\nAnswer: 35092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r. Suppose v = -r*v - 4. Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 1)*(2 - 2 + i) + 3*i - 3*i - i + 6 - 19 - 7*i + 15 to the form b + d*i and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6674434, -6674426, -6674398, -6674344, -6674258, -6674134, -6673966, -6673748?\nAnswer: -6673474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*61.2\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**2*g**2*s*z - 4*a**2*z**3 - a**2*z**2 + 24*a**2 - 4*a*g**2*z**3 + 5*s*z**3 + 2*s*z**2 wrt z?\nAnswer: -24*a**2 - 24*a*g**2 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268633 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (132 - -6)*1\/(-13). Let r = 136\/13 + a. Let z = -1232 + 1231.6. What is the closest to 2\/5 in z, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064159?\nAnswer: 7, 107, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -67165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, -2, -66, -176, -338?\n\"Answer: -f**3 - 14*f**2 + 25*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 + 5)*(0 + 4 - 5)*(0 + 3*b + 0)*(-3 + 2 + 0) + 15*b + 3*b + 16*b as a + c*b and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 217*n + 7 + 3 - 216*n.\nAnswer: n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 5) in base 15?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64270574*m**3 - 17016*m**2 + 5003*m wrt m.\nAnswer: 385623444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 1\/1188 (b) 36 (c) 10.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419 + -62. Suppose v*s + 2958 = 363*s. Is 493 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*h**2 - 978*h + 70*h**2 + 1960*h + 3 + 3*h**3 - 982*h.\nAnswer: 3*h**3 + 287*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*i + 7454 = 0, s - 3417 - 292 = -2*i. Suppose 3*g + 0*z - 4*z = 6095, -4*g + 8168 = 5*z. Let y = g - s. What is y rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*o - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 0. Suppose -7*i - 30 = -w*i. What is the highest common factor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -3887*f**4\/2 - 37*f**3\/3 - 93*f + 1732. What is the third derivative of p(y) wrt y?\nAnswer: -46644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/53, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(22)\/sqrt(11) - (sqrt(2) + 4 + sqrt(2)*-5).\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*((u**(-1\/11)\/u)\/u)\/u*u**(-3\/5) assuming u is positive.\nAnswer: u**(-93\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (9 - 14)) + -1 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 44*i**2 - 2*i + 44. What is q(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003086492793 rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2. Let x(b) be the first derivative of -1\/2*b**2 + 0*b + 5. What is h(x(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43187307*h**3*p**2 + 23269224*h*p**2 - h wrt h.\nAnswer: 259123842*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 5)*-1*1. Let g be 0 + t + 2 + 1. What is the second derivative of w - 5*w**g + 7*w - 11*w**2 + w wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5554383, -5554394, -5554427, -5554494, -5554607, -5554778, -5555019, -5555342?\nAnswer: -5555759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -27, -62, -131, -246, -419?\n\"Answer: -2*j**3 + j**2 - 2*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101101 (base 2) to base 3\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -49, -136, -307, -592, -1021?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 != -76365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(8\/11)*(j\/(j\/j**(2\/5)*j))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-5 + 4))\/1. Let d = 5 + -9. Let y be ((-9)\/6)\/((-3)\/d). Sort 2, y, u in ascending order.\nAnswer: y, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 62585 - 125173 + 62588 + 2*h. Let m(t) = -38*t + 4. Give m(a(q)).\nAnswer: -76*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, -2*u - 4*l - 1 = 3. What are the prime factors of 2\/8 - u*1221\/(-24)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 37 + 1 = 102 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-3)\/(-60)). Suppose d = -3*u + 40. What is the smallest common multiple of 12 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -61140?\nAnswer: 61137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.6956677 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345 = 27*x + 967. Calculate the least common multiple of x and 304.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let o = i + 0.24. Let d = o - 0.047. What is d rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4 - 253070*k**3 + 14421624*k**2 + 29602462*k + 14927767 = 0.\nAnswer: -1, 59, 253013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 7. Let o be b(4). Suppose o*y = -2*t - 22, 19 = 2*t - 5*t - y. Let x(h) = 13*h**3 - h. Let u(q) = 6*q**3. Determine t*u(m) + 2*x(m).\nAnswer: -4*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsffskan. What is prob of sequence sasf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txvt when four letters picked without replacement from {x: 3, v: 7, t: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*p - 3*b + 18, 5*b = -4*p + 48. Suppose -4*d - p + 64 = 2*y, 66 = 5*d + 2*y. Is 13 a factor of (-1 - -11)\/(7\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - 4*o - 3. Let j(t) be the third derivative of 1\/6*t**3 - t**2 + 1\/60*t**5 + 1\/24*t**4 + 0 + 0*t. What is 5*j(i) + s(i)?\nAnswer: -2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**24\/(r\/(r\/(r\/((r*r**2)\/r))))**(-8\/7)*(r*r*r**2\/r)**(-2\/21)*r**(2\/5)*(((r*r**(3\/8))\/r*r)\/r)\/r assuming r is positive.\nAnswer: r**(4577\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667194 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 39962*j - 3436626. Give l(86).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(60\/100)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/80 and 89\/44.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898613?\nAnswer: 898613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 96*b - 591. What is g(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6707 + 9838. Let l = d + 5242. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5875032 and -55\/16052.\nAnswer: 5875032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -6, -1\/322231 in increasing order.\nAnswer: -6, -1\/322231, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:04 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/207884 and -29\/784?\nAnswer: 40745264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6 - 2)\/((-15)\/40). Solve -m + 3*v = -13, t*m + 5*v + 28 = v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -23*n + 1179. Give t(51).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.036, 28.457, 5?\nAnswer: 28.457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4511253 to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -829.\nAnswer: 16\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*n - 28*n. Let a(d) = -d + 15. Let x be a(11). Find the third derivative of -29*v**x + n*v**3 - 3*v**3 + 3*v**3 - v**2 wrt v.\nAnswer: -696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19985 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k**3 - 104*k**2 + 436*k - 11. Calculate j(5).\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**2*n + 309*m**2 - 2*m*n - 307*m + n - 7 wrt m.\nAnswer: 28*n + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let z(i) be the third derivative of i**7\/2520 + i**4\/24 - 2*i**2. Let x(u) be the second derivative of z(u). What is x(g(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 3*m - m)*((1 - 1 - 3*m)*(-1 + 1 - 4) + 2*m - 3*m + 2*m) to the form p*m + d + j*m**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2857 + -5?\nAnswer: 2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 424 - 249. Suppose -c - 5*q = -15, -2*c - 5*q + l = 3*c. Suppose 0 = -4*v - 3*m + 10 + 17, 5*m = -5*v + c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/525 and -23\/700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 19860*u**2 + 436557*u\/2 - 1200199\/2.\nAnswer: (u - 9919)*(2*u - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)\/o)**7\/((o\/o**(-12\/11))\/((o\/o**13)\/o)) assuming o is positive.\nAnswer: o**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 20. Suppose m - 62 = -5*v + 4*m, -j*v = -2*m - 63. Solve 0 = 5*f + 28 - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, 4 in descending order.\nAnswer: 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605*w**3 + 14 - 28 + 1577*w**3 + 14.\nAnswer: 3182*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -103. Let r = -11\/12 + 1\/6. Which is the second smallest value? (a) r (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80911\/7 - -11559. Sort 0.2, 1\/3, -1\/346, 0.3, h.\nAnswer: -1\/346, 0.2, h, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*y - 5*u = 143*y - 19, -y = 4*u - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 19) + -454 + 473 + -1 + -16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nws when three letters picked without replacement from rsnnnvwwsws?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 take away -8.8397?\nAnswer: 1011.8397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29737, 29720, 29691, 29644, 29573, 29472?\nAnswer: 29335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3685995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*l**5 - 227*l**3 - 77876*l.\nAnswer: 5720*l**3 - 1362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3804852636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y**4 + 1\/15*y**6 - y**2 + 0*y + 0*y**3 - 7\/60*y**5 + 0. What is the third derivative of n(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 + -275. Solve 3*y**3 - 3*y**r - 2*y**3 + 7*y**3 + 50*y**2 - 3*y**3 = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 336 = -2*d, c + 2*d - 31 - 41 = 0. Is 42 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39481321, -78962646, -118443959, -157925254, -197406525, -236887766?\n\"Answer: p**3 - 39481332*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192549040 to the power of 1\/2, to the nearest integer?\nAnswer: 46825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -678 - -666.24. Let p = z - -11.9. What is p rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 + 13*g + 17. Let c be i(5). What is the nearest to -2\/11 in c, 5, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 35*d - 9. Let p be s(12). What is the units digit of (168\/p - 2)*(-20)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 8*p - 7. Let g be z(-2). Suppose -g*d = -3*u - 86999975, -8*u + 7*u = -2*d + 28999990. Round u to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -10 + 10*m + 0*m**2 - 5\/3*m**3. What is the first derivative of q(l) wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/(-8)*65\/(-10)*4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345552 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:57 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -143100000 to the nearest one million.\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4)*((-8 - 4*l + 8)*(l - 2*l**2 - l) + 0*l**3 + 4*l**3 - 2*l**3) in the form c*l + f + w*l**3 + v*l**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(-6)*i**(-7)\/(i\/(i\/i**(-2))) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + 30\/20 - 3\/6. Solve 12*d = r*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206700 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 - n - 1\/40*n**5 + 1\/2*n**4 - 1\/4*n**6 + 1\/3*n**3 + 0*n**2. Find m such that r(m) = 0.\nAnswer: -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8038*o + 7860*o - 15894*o + 8.\nAnswer: 4*o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - d + 12*d. List the prime factors of k(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 + 1 + 16\/4 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 377. Let x(p) = 19*p**2 + 11*p**2 - 9*p**2 - 13*p**2 - 11*p**2. Calculate v(x(u)).\nAnswer: -15*u**2 + 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j - 1. Let i(p) = -9*p**2 - 502*p + 531. Let c(b) = -i(b) + 4*u(b). Determine x, given that c(x) = 0.\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1061 - -1066. Solve h*g + 3 = 65*r - 67*r, 3*g = 3*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbbkebebbbebbbebb. Give prob of sequence eb.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41b5 (base 14) to base 5\nAnswer: -330311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 6:04 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 565*m\/2.\nAnswer: -m*(m - 1130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8079877 is divided by 35283?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*20\/10*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 77986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 95, 188, 311, 464, 647, 860?\n\"Answer: 15*h**2 + 18*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 997*i**3 + 1 - 2*i**4 - 450*i**3 + 2*i - 462*i**3 as p*i**4 + o*i**3 + c + h*i**2 + j*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -92. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {d: 1, c: 1, p: 1, z: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f = -48*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.9. Let s = r + 1. Which is the smallest value? (a) 0.3 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714383207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 24 = d. Let w = 72 - d. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let z(j) = -2*j. Let f(i) = 3*b(i) - 2*z(i). Let v be f(-1). Let k be (-21)\/(-15) + (-2)\/v. Solve -3*o - 8 = k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. What is the first derivative of 0*h**2 - b + 3 - 1 - 2*h**2 wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 1 + -15 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41025637*a*g**3*o + 6*a*g*o + 10971487*a*o - 6*g**3*o + 4*g wrt g.\nAnswer: 246153822*a*g*o - 36*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1206)\/1072)\/(45\/(-12))*5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 - o - 5. Let d be v(-4). Let j be (d - 1) + (10 - 4). Let w = 0.47 - -0.03. Which is the smallest value? (a) w (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 21*d - 1. Let s be q(10). Suppose -5*h + 72 = 2*y, -h = -s*y + 8*y - 13. What is the remainder when 34 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/(-4) - -8 - (-1087 + 1060).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119983287.\nAnswer: 3, 43, 113, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(9471\/42)*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 66*z - 3*b - 142 - 23 - 42, 0 = -8*z + b + 67 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:27 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2459 - 1389. Suppose 0 = -2*m - 0*m - 2*h + n, -5*m = 4*h - 2677. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -2 (c) -0.2 (d) 0.09 (e) 0.5 (f) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-60)\/(-36))*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let j = 8153 - 95. Let d(o) = -8058 + j + 64*o**2. Calculate z(d(a)).\nAnswer: -4096*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z + 16*z - 23*z + 8*z. Let u(y) = 6*y**2 + 7*y**2 + 17*y**2. Determine u(j(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1412, -1414, -1416, -1418?\n\"Answer: -2*y - 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -179694\nAnswer: 1\/59898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -102195, -1\/6, -2, 1\/104, 21 in descending order.\nAnswer: 21, 1\/104, -1\/6, -2, -102195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 60. Let m be (-8)\/6*p*(2 - 1). Let v be 3\/(-1)*(16\/6)\/m. Solve o - 10 - 5 = -3*h, 4*o - v*h = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 24694.\nAnswer: 2\/12347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12 and -19\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151177227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*v = 28, 3 = -r - 4*v + 1. Calculate the smallest common multiple of 48 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = 5*s, -s + 218 = -5*q + 211 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -23.335 and -0.3.\nAnswer: -23.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/3 (b) 7\/206 (c) 0.1 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r + 2. Let h be m(-2). Suppose -4*c = 4, -4*c + 6 = -h*o + 2*o. Suppose 2*i - 34 = o*w, 92 = 4*i - w + 3*w. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04954 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 131\/470 (c) 199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 858240703 to the nearest integer?\nAnswer: 29296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 0*k**3 + 0*k**3)*(4 - 2 - 1) - 3*k + 3*k - k**3 - 22*k**3 + k**3 - 4*k**3 + 4*k**3 - 4*k**3 - k**3.\nAnswer: -29*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107966944*d**4 - 170400714*d wrt d.\nAnswer: 1295603328*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232.5 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 18. Let x be u(12). What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p - 28*p - p**3 - 3*p + 17*p + 24*p**2 - 338 - 64*p = 0. Calculate p.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5687693\nAnswer: 5687693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2\/2 - 2*d + 29. Let x be (-4)\/(-10) + 8\/5. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1923 or 13470\/7?\nAnswer: 13470\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 10*f**2 - 24*f - 23. Let x(u) = -u**3 - 3*u**2 - 8*u - 8. Let q(t) = -6*s(t) + 17*x(t). Let z be q(-8). Is z less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + 255\/35 + -5. Solve 3 + 1 = a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111044966991 take away 1092?\nAnswer: -1091.888955033009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggttjkkddjk. What is prob of sequence jk?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccppp. What is prob of picking 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1316, -1262, -1198, -1124?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.2. Let p = -0.125 - 0.275. Let j = 4337\/17 - 255. Which is the closest to k? (a) p (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 4*d**2 - 6990 + 14009 - 3*d**2 - 7016 - d**2.\nAnswer: 4*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 + 2 = 0. Let m = 16.953 - -0.047. Let o = 20 - m. Which is the second smallest value? (a) p (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 41753.\nAnswer: 459283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -493792970, -987585943, -1481378916, -1975171889, -2468964862?\n\"Answer: -493792973*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6938 from -3.\nAnswer: -4.6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21119 is divided by 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4901 and -28.\nAnswer: -137228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/2, 5\/3, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 121*p**2. Let g(a) = -76*a. Give g(z(m)).\nAnswer: -9196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(240\/24)*(-1)\/((-3)\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1362b86 (base 12) to base 7\nAnswer: 44553405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-6))\/(2\/4). Let b(f) = -y*f + 3 + 2 + 3 - 4. Does 17 divide b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/51805919 and -57\/43571?\nAnswer: 51805919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x*x**(-1)*((x*x\/((x*x**(1\/5))\/x*x))\/x)**(4\/19) assuming x is positive.\nAnswer: x**(566\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Let z = 7 + f. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 - 7*v + 4. Suppose -c - f = 5, c - 2 + 11 = 3*f. Let g = c - -13. Calculate the remainder when w(g) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/11 + 568*p**4\/11 - 4314*p**3\/11 - 69840*p**2\/11 = 0. Calculate p.\nAnswer: -291, -8, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9485035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21335681\/3528195 - 102\/21383. Let b = 98\/11 - g. What is the common denominator of b and 55\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u - 15*u + 35*u)*(3*u - 3*u - 3*u**3 + (-2*u**2 + u - u)*(0 + 0 - u) - 166*u + 15*u**3 + 166*u).\nAnswer: 546*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2166.6219 to 1 dp.\nAnswer: 2166.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*7.29\nAnswer: 3.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -389 + 390. What is the nearest to -2\/19 in -3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/2016 - k**7\/1260 - k**5\/60 - 4*k**2. Let d(x) be the third derivative of u(x). Factor d(n).\nAnswer: -2*n*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 - 8 - -4 - 18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 15*t**2 - t + 21. Let u be z(15). Solve 0 = -3*v + u - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r - 311*r - 18*r.\nAnswer: -400*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.33574 micrometers in nanometers?\nAnswer: 13335.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12973.4 times -0.17\nAnswer: 2205.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-25)\/20)\/((-3)\/168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -34*a**3 - 13*a**2 - 51*a - 317. What is the thousands digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 11878954.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394.5267 hours to minutes.\nAnswer: 23671.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 2\/(-4))\/((-10)\/(-17220))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 17. Let p be -3*(-3 - y\/6). Suppose -5*w - 2*g - p*g = -449, 0 = w - 3*g - 105. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w + 3*w + 2*b, -5*w = -2*b. Let z(c) = -4*c + 1. Let m(h) = -h. Give w*m(l) + z(l).\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-36 - -20) - 0) + (5 - 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 131 (b) -0.5 (c) 20 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/5*(-160)\/(-6). Suppose -4*f = 4*r + 4 + 36, 5*f = -5. Let v be (-18)\/15*60\/r. What is the greatest common factor of v and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u - 1. Let n = 10 - 9. Determine w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14 + 0*u + 0*u + u - 13. Let k be a(2). Solve 0 = -k*x - 24 + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-47)\/1*155\/186775*241?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4822 by 46776.\nAnswer: -2411\/23388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*b**3 + 53*b - 1 wrt b?\nAnswer: -564*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1681 >= -1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.3023369 rounded to 1 dp?\nAnswer: -17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/670 and -26\/41136995?\nAnswer: 82273990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*-1 + 2 + 4. Let k(y) be the first derivative of -1 - 1\/2*y**2 + f*y. Let u(l) = l. Give u(k(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3890, 7779, 11668?\nAnswer: 15557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104112271083 and 54?\nAnswer: 104112271137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 25 = -r. Suppose 6451 = r*y - 7361. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-2 - 1))*(-21)\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 18. Let a be u(15). Suppose a*d + n + 57500003 = -2*d, -57500015 = 5*d + 5*n. Round d to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 5532\/324) + (3 - -1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753482673 to the nearest integer?\nAnswer: 41875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/((-8)\/(-24)*-4). Let d(q) = 7*q**2 + 4*q - 10. Let t(l) = -l**2 - l - 1. Determine w*d(b) - 5*t(b).\nAnswer: -2*b**2 + b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268 + 80185*j - 80189*j - 1244.\nAnswer: -4*j + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2. Let m(p) = -1103908*p**2. Determine m(w(b)).\nAnswer: -9935172*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.11. Let q = 0 - -0.3. Let j = -3151.8 - -3148.8. Which is the closest to i? (a) j (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 10, 2\/7 in descending order.\nAnswer: 10, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -692*v**5 + 245*v - 2.\nAnswer: -13840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - c**2 - 3*c + 4. Suppose 0 = 2*v + v + p - 13, 4*v = -5*p + 32. Does 19 divide r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170 - 6. Let a = -176 - s. Is a >= -1\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.3. What is the nearest to 1\/3 in 2\/7, 4, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141.2, -1\/5, 0.1 in increasing order.\nAnswer: -1\/5, 0.1, 141.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) - sqrt(204)*-2))\/(sqrt(48)\/sqrt(4)*1).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/p**(-1\/2))\/p)))**(-6))**(-20) assuming p is positive.\nAnswer: p**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 10 (b) -21 (c) -4 (d) -10 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = 2. Let x(i) = -i**3 - 3*i**2 - 4*i - 45. Let w be x(-5). Solve -s*p + 3*m = -6 + w, -4*p = 4*m + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*6 - (sqrt(187) - -1*sqrt(187)*-5 - sqrt(187)))\/(-5*sqrt(396)).\nAnswer: 7*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 87 + -91 + (4 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*t - 17 = -t, 2*t = b + 16. Let a(l) = -l - 1. Let x be a(b). Solve 0 = 3*g - 20 + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233791 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224645105\/12 at least as big as 18720426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61453 is divided by 459?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6880, 0, -1\/7, -0.8, 2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 5*o = 18*i - 8, 4 = 4*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7, 0.0683 in ascending order.\nAnswer: -0.2, 0.0683, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82\/8 - (-5)\/(-20). Let z = 2912\/3 - 962. Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1699*b**5 - 2*b**2 + 5*b + 844. Let f(q) = -849*q**5 + q**2 - 2*q - 420. Let s(d) = -2*c(d) - 5*f(d). What is the third derivative of s(l) wrt l?\nAnswer: 50820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101000001 - 100101110100001?\nAnswer: -110100011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c - 183*c**3 + c + c + 17 + 49 wrt c?\nAnswer: -549*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*i - 53*i = 79*i + 1255. Let w = -5 + 4.94. What is the second smallest value in i, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 5*d + 9 = -4*k - 131, 4*k + 0*d = 2*d - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181315 is divided by 60432.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, l: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/7 + 12\/(-42). Suppose 7*j - n = 3*j. Find f, given that 2*f + 0*f + 2*f**j - f**2 + f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 3314344?\nAnswer: -3314423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - y = -r - 4, 0 = -5*r + 4*y + 2. Suppose w = -r + 1. What is the third smallest value in w, -3\/2, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3692 and 328978.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90\/20)\/((-4)\/(-88)). Let u be 0 + -1 + (6 - 473\/b). Factor 0 + 0*r + 2\/9*r**4 - 4\/9*r**2 - u*r**3.\nAnswer: 2*r**2*(r - 2)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110133 (base 4) to base 5.\nAnswer: 32030201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 9) to base 10\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -24*q + 14. Let k be s(0). Let p be (-1)\/(-2)*(-2 + 6). What is the second derivative of 2*d**2 + 9*d - d**p + k*d**2 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = -3*m - 272, c + 5*m = 149. Find the second derivative of 8*h**4 - 16*h + 3*h**2 - 8*h**4 + c*h - 9*h**4 wrt h.\nAnswer: -108*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 57, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -51. Let g = n + 32. Let b = -11 + g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 10*v + 6*v + 2*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58260533 to the power of 1\/2, to the nearest integer?\nAnswer: 7633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 less than or equal to 58.1563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/92529 and 143\/43470.\nAnswer: 6477030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.94 + -1.06. What is the third smallest value in -2\/17, 0, -0.02, g?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32441040 (base 6) in base 13?\nAnswer: 27c474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028743 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 64*u**2 + 309*u + 19. What is w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x. Let a(p) = -96*p**2 + 224*p - 224. Let u(o) = o**2 - 2*o + 2. Let g(k) = -2*a(k) - 224*u(k). Give y(g(q)).\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0*l + 2*l + (2 - 2 + 2)*(l + 0*l + 3*l + (3 - 3 - 1)*(0 + 0 - 2*l) + 2*l + 0*l + l).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (-6 + 10) - 10 - 4 - -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2. Suppose 0 = -0*b - 4*b - g + 121, 65 = 2*b + 5*g. Let z(w) = 6*w - b*w + 6*w. Calculate z(i(f)).\nAnswer: -126*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1034105690.86499995 - 1034105720. Let p = a - 14.86499974. Let b = 44 + p. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3, 0*f - f + 6 = 3*o. Suppose -f*m = -4*m. Which is the third biggest value? (a) m (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00380382 to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*t. Find the third derivative of w**t - 2 + 3*w**5 + 2 + w**2 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (8 - (-19 - -16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -76, -67, -40, 11, 92, 209, 368?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.3 (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7006501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 6*h**2 - 7029*h - 42155. What is m(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 32*b - 10. Let t be c(10). What is the derivative of -77 + 3*i + 573*i**2 - 565*i**2 + t wrt i?\nAnswer: 16*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -5 + 0 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p**3 + p**2 + 45*p + 166. Calculate s(-5).\nAnswer: 1966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 289 = 286 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(152 - (2 - 2)). Suppose 3*a - q - 367 = 0. Let b = a + -121. What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/28*((-39)\/(-26))\/((-6)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 18*f**2 + 21*f - 40. What is the tens digit of u(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 429670163 and 4.\nAnswer: 1718680652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -713, -1069?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f. Let h = -4653 - -4653. Let d(o) be the third derivative of h*o - 1\/30*o**5 + 0*o**3 - 12*o**2 + 0*o**4 + 0. Determine d(u(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.2 (c) 1.3 (d) 218 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)\/b)**(-8\/3)*b\/b**(-15)*b\/b**(1\/2) assuming b is positive.\nAnswer: b**(213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/2 (b) -3\/5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 - 9936*z**2 - 39696*z - 39680 = 0.\nAnswer: -2480, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 575515 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**2 + 539*d**2 - 91*d + 182*d - 91*d.\nAnswer: 627*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000070737813 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/198*(-4488)\/13056\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Let l(v) = -v + 20*v**2 + 9*v**2 + 13*v**2 - 51*v**2 + 4 + 11*v**2. Let h(w) = 11*w**2 + 206 - 213 + 2*w - 15*w**2. What is s*l(z) + 3*h(z)?\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*a + 8034 - 8034)*(0*a + 0*a + 2*a).\nAnswer: -140*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 6)*(2*r - 9 + 9)*(1 + 0 + 1)*(2 + 3 - 4)*(15 + 23 - 9) in the form v*r + n and give v.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 11\/10*i**5 + 1\/10*i**7 + 5*i**2 + 9\/20*i**6 + 0*i + 13\/8*i**4 + 1\/112*i**8 + 3\/2*i**3 + 0. Factor t(h).\nAnswer: 3*(h + 1)**4*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/1265*(-7579)\/(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9426285 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 10\/(-4) - 66\/(-4). Suppose -6*b = -h*b + 70. Solve b = -5*j + 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 366, 2390, 5750, 10446, 16478, 23846, 32550?\n\"Answer: 668*v**2 + 20*v - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122289092 to the nearest integer?\nAnswer: 33501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 31 + 60 + 15*x**2 - 29 to h*x**2 + v*x + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = 63*w + 482. Which is the nearest to 0.2? (a) -2 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -185. Solve 4*g - s = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33989031, -33989034, -33989037, -33989040, -33989043, -33989046?\n\"Answer: -3*k - 33989028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15147 or 15227?\nAnswer: 15227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 19*z**3 - 6*z**3 - 11*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -1, 70, -6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6))**(7\/8) assuming u is positive.\nAnswer: u**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 95. Sort -2, x, 1, 3 in descending order.\nAnswer: 3, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:20 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(5\/7)*j)*j*j**(-3\/4)\/j)\/(j**(2\/15)*j*j*j**(-5)))**(2\/43) assuming j is positive.\nAnswer: j**(589\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.4035 and -5.\nAnswer: 1.4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9847 (base 11) to base 7.\nAnswer: 52616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217168692 - -342941489. Let l = i - 125772803.99999896. Let m = l - -7. What is m rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -989 (base 15) to base 8.\nAnswer: -4152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 37928\nAnswer: -29\/37928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-723)\/33 + 19\/(-209)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343661133 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6524286 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 16*w - 13*w = 186480. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 305513 = 102317. Is 123 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gukutoukkigo. Give prob of picking 1 k, 1 g, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 33*f + 114. Determine d(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (110\/33)\/5*33\/(-11). Let j = 0.231 + 0.059. Let d = -0.2 + j. Put i, 5\/4, d in descending order.\nAnswer: 5\/4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16969, -33719, -50037, -65707, -80513, -94239?\nAnswer: -106669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-12) + (-3)\/(-12). Suppose 9 = k*t + 3. Is ((-1)\/(-2) - t)*-6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - (-32 - -1). Let w(s) = s**3 - 9*s**2 + 2*s + 1. Let z be w(9). Let b = u - z. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 - 13252*z\/11 - 1376046.\nAnswer: -2*(z + 1467)*(z + 5159)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i - 33. Let d(f) = -126*f**2 + 1006*f + 19. Let c be d(8). Give n(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i + 7. Let h(l) = -12*l + 8. Let q(v) = -4*h(v) + 5*x(v). Let b(j) = j - 3. Let g(y) = -5*b(y) - 4*q(y). Calculate g(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4208 and 2384095.\nAnswer: 38145520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.1455km in nanometers?\nAnswer: 788145500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.6, 1179, -0.1 in decreasing order.\nAnswer: 1179, 1\/4, -0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 6*k - 25. Let s(v) = v**2 + 25*v + 49. Let l be s(-22). Is 16 a factor of y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -272. Let y(o) be the first derivative of -1\/2*o - 2\/3*o**m - o**2 - 3. Find k, given that y(k) = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/3, 0.1, 832 in descending order.\nAnswer: 832, 6, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 divided by -4?\nAnswer: 533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:17 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*h + 2435 = 0, -j - 2*h = -2247 - 190. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 15*u + 1. Let n be a(4). Let i(f) be the first derivative of n + 0*f + 8\/3*f**3 + 5*f**2. What is the second derivative of i(c) wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473089671?\nAnswer: 3, 59, 890941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**3 + 10*h**2 + h - 6. Determine x(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-136)*(-74)\/(-12). Let r = -1\/68 - p. What is the common denominator of r and (6\/(-4) - -2)*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3) + -1 - -24. Let l = 18 + -12. Is 8 a factor of (u\/3)\/(l\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 781, 1559, 2337, 3115?\n\"Answer: 778*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:15 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (82\/5)\/((-10)\/(-25)). Let g = -6 + r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 1829?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, t: 1, e: 1, m: 2, f: 6}. Give prob of sequence eh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -23*g + 162. Solve -36 = g*v - 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80955427559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 356, 579, 784, 965?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five fourteenths of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from fvfyvfffffy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -63.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/15*(-2)\/4*3. Is -12 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 40. Let s = -471.92 - -490. Let h = s + l. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1166202 by 3.\nAnswer: -388734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - i - 44 = -28, -4*h + i = 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-22)\/(-8) + -2). Let q(t) be the second derivative of -7*t**3\/6 - t**2 - 7*t. List the prime factors of q(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59204c (base 16) in base 12?\nAnswer: 1b58238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 4*m, 2*s + 13 - 59 = 4*m. Suppose -5*u + 17 = -s. Suppose -l + 11 = -u. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -490, -479, -468?\n\"Answer: 11*z - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2089, 2\/15, 6, -8\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 120 = v. Which is greater: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 42 + 26 = 96. Solve -b*v = 379 - 371 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 2*v - 3 + 8 - 3*v**3 - v**3 + 5*v**3. Let t = -2 - -2. Suppose -18 = -3*g + 5*b - 5, 5*b + 25 = t. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 20*d**2 - 49*d - 975. Let o be g(-20). What is the nearest to 0.09 in o, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/40)\/((-24)\/320) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 15 - 35. Let q(u) = u**3 + 4*u**2 - 4*u - 21. Let l be q(z). What is the biggest value in -2\/15, -2\/9, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 10*i**2 - 4*i - 3. Let w be h(-7). Let v = 209 + w. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17066 is divided by 439.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -337*u**3 + 339*u**3 + 1 - 5*u - 5*u + (-7*u**3 + 12*u**3 + 6*u**3)*(0 + 3 - 2) - 2 + 2 - 2*u**3 + (1 + 1 + 0)*(4*u**3 - 4*u**3 - u**3).\nAnswer: 9*u**3 - 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2 + 4 + 3*j)*(-10006 - 284*j + 10006)*(4*j**2 - 5*j**2 + 3*j**2) to m*j + i + u*j**2 + b*j**3 + r*j**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 16. Let f = 30 - a. Sort f, 5\/3, -3 in increasing order.\nAnswer: -3, f, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 728, 5246, 17506, 41378, 80732, 139438, 221366, 330386?\n\"Answer: 645*k**3 + k**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*i - 1 - 20, 0 = 3*w - 2*i - 21. Let v(g) = g**3 - g**2 + g + 1. Let c(h) = -3*h**3 - 4*h**2 + 2*h - 4. Let p(m) = c(m) + 4*v(m). Give p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 9. Let j(b) = 3*b + 7. Let n be j(i). Sort 2, 3, n in decreasing order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1360 and 306?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1182, -4827, -10900, -19401, -30330?\nAnswer: -43687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 + 18 = 0. Suppose -n + s - 3*s + 14 = 0, -o*n = 2*s - 26. Let y(j) = -n*j + 2*j + 0 - j**3 + 2 - 5*j**2 - j. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34354.7801 rounded to the nearest 100?\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -198*n**3 - 10*n**2 - 7*n + 7. Let m be u(-6). Let f = -27848 + m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11651 - 6444. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = -j. Let x be 13\/(-1)*(-2 + 3). Let b = x + j. Solve -2*o + 8 = -2*a, -o + 2 = -a - b*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 22650977?\nAnswer: 2\/22650977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 12*y + 16. Let z(p) = -p**3 - 7*p**2 - p + 6. Let q be z(-7). Calculate the remainder when h(q) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2 - -1101)*(-10)\/(-25). Suppose -70*b + f = -65*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 336 = 276 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 4 = 3*y - 2*f, 17 = 5*y + 4*f. Let i(l) = -l**2 + 2*l - 4. Let q be i(3). Let u be -9*(q\/(-3) + -2). Sort y, 1, u in decreasing order.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 1233041?\nAnswer: 1232421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91255395*p**3 - 7*p**2 + 16*p - 32948 wrt p.\nAnswer: -547532370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 730\/25 + 0 - (-8)\/10. What is the second derivative of -p*g**2 + 63*g**2 + 27*g**3 - 18*g**2 - 21*g**3 + 193*g wrt g?\nAnswer: 36*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*i**2 + 25*i + 1522 wrt i.\nAnswer: -42*i + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732048?\nAnswer: 2, 3, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23933\/3160 - -83\/3160. Factor 2\/5*y - 2\/5*y**3 - 38\/5 + c*y**2.\nAnswer: -2*(y - 19)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 7*u - u)*(0*u - 2*u - 8*u) + u**2 - 2*u + 2*u)*(0*u**3 - u**3 + 0*u**3).\nAnswer: 69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 = -2*y + 4*n + 710, 2*y - 76*n + 390 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 + 6*c - 2. Let r = 15 + -10. Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 + -0.325. Round a to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g = -1443 - 72 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -200 in -2, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 530 + -532. Let l(f) = 4*f + 3. Calculate l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -331\/5. Let w = -297\/5 - -60. Let n = 0.294 + 0.206. Which is the second smallest value? (a) n (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 536.211.\nAnswer: 539.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802049999?\nAnswer: 37, 83, 261169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(3))**2*2 + sqrt(6)\/sqrt(2)*-6.\nAnswer: -6*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2. Let l(g) = 8*g - 10. Let q(m) = 23545*m + 20. Let b(x) = -2*l(x) - q(x). Determine b(s(w)).\nAnswer: 47122*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*l**3 + 71*l**5 - 62*l**3 + (-2*l**4 + 0*l**4 + l**4)*(-l + 5*l - 2*l) + 4*l**5 + l**5 - 2*l**5 + 3*l**5 + l**5 + 4*l**5.\nAnswer: 80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 263*l**3 + 4 - 271*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 - -4 - 12 - 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13982.2089 rounded to the nearest 10?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*p - 5*r, 0*p - 2*r + 2 = -2*p. Solve -p*o = 2*j + 8, -o - 4*j + 17 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 100093\nAnswer: -4\/100093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 41*z**2 - 241*z - 204. Calculate x(34).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2338?\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*k**2 - 230*k**2 + 3 - 3.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*k = -115*k + 949 - 79 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 396*n**4 - 177863*n + 177989*n - 10*n**3 - 507*n**2 - 104*n**3 + 226*n**4 - 12*n**5 - 115*n**4 = 0.\nAnswer: -1, 0, 1\/4, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/2 + 2461*a**3\/2 + 22047*a**2\/2 - 51481*a\/2 + 13486 = 0.\nAnswer: -2452, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.587 times -13?\nAnswer: 46.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 923 divide 1913526451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126636 (base 8) in base 14?\nAnswer: 5d0858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69738 is divided by 61.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 11) in base 12?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21224 - 20480 = -62*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 - 2*i**4 + 4*i**4 + (-2*i + 2*i + i)*(7*i**3 + 4*i**3 + i**3) in the form h*i**3 + f + j*i**4 + d*i + v*i**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 17*d**2 - 15*d + 17. Let v be l(-16). What is the units digit of 0 + (v + 55)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2442965 and -5.\nAnswer: -1.2214825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c - 42. Let b = c - -42. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 4*g**2 + 4*g**2 + (10*g - 7*g + 4*g)*(g - 3 + 3).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -287\/2. Let q = 0 + 4. Suppose q*u - 21 = 5*o, -3 = -u + 1. Find the common denominator of x and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 3*q**2 - q - 1. Let a = -15 + 31. Suppose -a = y - 4*o - 2, 4*y - 3*o = -56. Let u be (-38)\/(-14) + (-4)\/y. Calculate i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1331763492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/39 and -71\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 9. Let t(b) = 1680001*b + 5. Let m be t(x). What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3995 and 35\/307768.\nAnswer: 72325480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 174 = -144. Suppose l*y + 32 = 14*y. Solve y = 10*m - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 7*v - 2*h = -24, 2*h = -3*v - 56. Let u be (2 + -1)*(-4 - -2). What is the tens digit of u\/5 - 548\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1207 - 1779. Let u = 572 + g. Sort 0.05, u, 7, 3 in descending order.\nAnswer: 7, 3, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68\/3 - -30. Find the common denominator of -73\/4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1346\/3)\/((-2)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/53)\/(f\/f**14))\/(f*f**(-8\/9)*f*f)**(2\/81) assuming f is positive.\nAnswer: f**(500996\/38637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 88. What is the remainder when 21 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/66 - 10\/(-24). Let p = 3\/158 - 331\/790. Which is the nearest to k? (a) 0.4 (b) -3 (c) -0.2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1806\/688)\/(7\/4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.26062886 from 5.\nAnswer: 5.26062886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20525*0.1.\nAnswer: 2052.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1523700*j + 8*j**2 - 1523700*j. Let b be 4\/(-4) + 7 + -1. Let f(n) = b*n - 3 + 3. Calculate f(p(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-279)*(-6)\/(-7).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)\/sqrt(2))\/sqrt(6) + sqrt(8))\/(sqrt(576)*-1 + sqrt(4)) + 3)**2.\nAnswer: -12*sqrt(2)\/11 + 1097\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107450 = 2255*v - 720*v for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6500 + -162541\/25. What is the common denominator of 99\/40 and o?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 1. Let r be h(-4). Let g be r\/(-2) + (-3)\/2. Let q = g - 2. Calculate the smallest common multiple of 8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -27. Let v = c + 7.2. Does v = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 + 10*z**3 - 46*z**3 + 5*z**3 + 14*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 1038 + 62 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + p**3 + 3*p**3)*(-3 + 44*p + 5 - 43*p) to the form o*p**4 + a*p**2 + h*p**3 + m + c*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153\/4 + 449\/12. Let t = 31.45 - 29.45. Is t at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13599 = 3*f - 3*z, 4*f = 3*z + 1146 + 16988. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/78)\/((-13)\/((-234)\/(-6))*12\/(-30))\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 2 + 2 + (2*b**3 - 3*b**3 + 3*b**3)*(-5*b - 10 + 10) as l*b**2 + m*b + q + v*b**3 + n*b**4 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81.2 + -80.7. Let b be (2\/4)\/((-3)\/(-12)). Let i be (-3)\/15*5\/(-30)*5. What is the third biggest value in b, 0, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -8. Let u be (-2)\/y*(-14)\/(-2). Solve u - 3 = k - 4*j, 0 = 2*k - 4*j - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -125. Let r = 17 + w. Solve 0 = -3*s - 3, -k - 6 = 4*k - r*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*u**4 + 69192*u**3 + 3678676*u**2 - 1645232*u + 183184.\nAnswer: 4*(u + 107)**2*(9*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 351.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + -5 + -4 + sqrt(19) + -1 + (1 + sqrt(171))**2*1.\nAnswer: 8*sqrt(19) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37618095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*1 - (sqrt(119) - (sqrt(119) + (sqrt(119) + (-2*sqrt(119) - sqrt(119)))*-5 - sqrt(119))))\/(-6*(sqrt(448) + -4*sqrt(448))).\nAnswer: 11*sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12428982 is divided by 132223.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvivvivvvvvvvvvvvii. Give prob of sequence vii.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 5, 6, 7, 8?\n\"Answer: f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172506 and 7.\nAnswer: -1207542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60 + 25199\/1695\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -27 - (-79 - -24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1531*w**2 + 143*w + 290. What are the prime factors of x(-2)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 + -7. Calculate the greatest common divisor of z and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w + 5*w + 21 + 4*w. Is 21 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 540818389 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 711572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265368?\nAnswer: 2, 3, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1ba9?\nAnswer: -1bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 2 + 35*f**4 + 56*f**2 + 124*f**2 wrt f?\nAnswer: 840*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9103342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3476 = -g - y, 5*g + 34*y - 31*y - 17386 = 0. Round g to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(18) + 3*sqrt(450))\/(1*sqrt(54)\/sqrt(6)))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 - 7*r**2 - 15*r**2.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/9, -3\/17, -0.4, -0.03, -2\/17?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h + 3*a, -h = -6*a + 7*a + 2. List the prime factors of (-2 - ((-162)\/4 + h))*6.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -149, -158, -181, -224, -293, -394, -533, -716?\n\"Answer: -j**3 - j**2 + j - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 - 2*k - 9. Calculate u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*i - 35, 4*o - 2 = 4*i - 2*i. Solve o*x - 6 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**27*r\/(r\/(r**2\/r)) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80)*-3 + sqrt(80) + sqrt(80) - sqrt(80))*6*-3)\/(sqrt(16)*-2 - sqrt(576)*3).\nAnswer: -9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose 0*q = -x*q + 25. Suppose 61 = q*t + 3*w, 4*t - 5*w = -2 + 36. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t - 6. What is the least common multiple of 9 and a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 12.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 7274 = 4946. Suppose 4*d - 941 = x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 258370*x - 3337752845.\nAnswer: -5*(x - 25837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-762)\/1397)\/(6\/(-165))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (0 - 0)) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58994 = -6*a - 20*a. What are the prime factors of a?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503440, -1006879, -1510318, -2013757, -2517196, -3020635?\nAnswer: -3524074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rruw when four letters picked without replacement from hurrwggrggrwgggg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453152 (base 6) in base 2?\nAnswer: 100000001000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3335883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 16747377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - 423\/(-5). Suppose 23 + 80 = 3*a - w, -5*a = 2*w - 168. What is the greatest common divisor of d and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.09 - 0.09. Let p = -77.88 - -78. What is the nearest to p in 0.4, 1, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 3. Suppose -19*f = -10*f - 45. Let h be f + 4 + -3 + 0\/(-3). Calculate n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n**3 - 224*n**2 + 788*n - 12051. What is l(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -22. Which is the third smallest value? (a) y (b) -2\/7 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365367356.\nAnswer: 2, 91341839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -33, -3 in decreasing order.\nAnswer: -0.1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15495005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-252)\/(-192) - (171\/(-72) - -2) and ((-6)\/88)\/((-1)\/(-21)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - ((-6909)\/504 - 3\/(-8)). Let i(b) be the first derivative of 6*b**2 + 0*b - 12 + b**4 + h*b**3. Factor i(a).\nAnswer: 4*a*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06518095 to 5 decimal places.\nAnswer: 0.06518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 220 = 3*a - 965, 2*a - 790 = -b. List the prime factors of a.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13173132.\nAnswer: 2, 3, 7, 156823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90968743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 + 42*u**3 + 727521*u - 727521*u to the form d*u**3 + h*u**2 + o + z*u and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/3277271?\nAnswer: 12\/3277271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/5)*i**6*(i*i*(i\/i**(-12))\/i)\/(i*i\/(i*(((i*(i\/(i\/(i\/i**(-6\/11)*i*i)))\/i*i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(1152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*p - 410*p + 0*p.\nAnswer: -952*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**5\/60 + v**3\/3 - 67*v**2. Determine k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t - 20. Let a(x) = 8 - 1 + x + 2*x - t*x. Let b be a(3). What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-2)\/15). Let z = -1 - q. Suppose -5*n - 3*y + 35 = 0, -4*n + 3*y + 28 = z*y. Solve -4*m = 3*j - 4*j - 16, -4*j = 3*m + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4573*k - 116163 + 32703 = 3289*k for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.069819 - 4.07. Round f to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 - 49*u - 37. What is m(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45453 (base 7) in base 4?\nAnswer: -2310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/356 and -47\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)\/(f\/(f**(-3\/5)\/f)))**34\/(f**(-4)\/f*f\/(f*f**(3\/5)))**(-40) assuming f is positive.\nAnswer: f**(-1392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821 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: What is the thousands digit of 24902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2 + 2*w**3 + 4*w + 7*w**3 - 8*w**3 + 5*w**2. Let p be y(-4). Is 7 a factor of p\/(-6) - 183\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 978*x**2 + 981*x**2 + 1 - 4 - 2*x**4 to g + u*x**4 + b*x + h*x**3 + y*x**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3883 - -3882.99988184. Round g to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5) - (-2)\/15*-12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (sqrt(832) - (-3 + sqrt(832) - sqrt(832)))**2 - 5*(-1 + sqrt(1300))).\nAnswer: -2*sqrt(13) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 237*z - 147*z - 68*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4356895?\nAnswer: 5, 31, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3112 - -3111.98. What is the smallest value in 16, -1, 4, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-12))\/(1*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 433. Let l(s) = -11*s**2 + 13*s - 637. Let g(j) = -5*j**2 + 6*j - 294. Let n(b) = -13*g(b) + 6*l(b). What is n(q(m))?\nAnswer: -4*m**4 - 1732*m**2 - 187489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**29*i)**(-3\/20)*((i**(2\/7)*i*i)\/i)\/i*i**(-4))**26 assuming i is positive.\nAnswer: i**(-1495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 1706, 3858, 6870, 10742?\nAnswer: 15474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.9. Let s be (-25)\/(-15) - (-4256)\/(-2280). What is the third biggest value in 5, k, s, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178548 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 1, b: 1}. Give prob of sequence mm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/20 + c**4\/2 - 4*c**3\/3 + c. Let l = -8 - -1. What is the units digit of s(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51604 and 5?\nAnswer: 258020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. What are the prime factors of m\/4 - 143\/(-2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:52 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -189*v + 105*v + 96*v - 48. Solve v*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (53 - -3 - 2) + 6. Suppose -3*k + v = 4*d, -3*k + 15 = 3. Solve 2*l - 2 = -d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 + 14*o + 12. Let i be l(-2). Solve 0 = 27*n - i*n - 54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1462\/9 (b) -3 (c) 2.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/60 - 7*q**4\/24 - 189*q**2. Let f(r) = -2*r**2 + 3*r + 4. Let g be f(3). Give p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**3 - 1909*w**2 + 19025*w?\nAnswer: -18*w - 3818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1728789 by -576263.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/8 - 139\/(-108) and -62\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28991, 28989, 28987, 28985, 28983?\n\"Answer: -2*v + 28993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*g + 7392 = -390*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((3276\/24)\/13)\/((-63)\/(-210))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqjq when four letters picked without replacement from {y: 6, j: 3, q: 4}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1024 * 0.01\nAnswer: -0.001024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -77, -166, -345, -644, -1093, -1722?\n\"Answer: -5*g**3 + 6*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.0006 - 8. Round o to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.9756344 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*t**2 + 4\/5*t**5 - 1\/5*t**4 - 4\/5*t**3 + 0*t + 0 = 0. Calculate t.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0902 less than 179.3?\nAnswer: 179.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 72 = -4*h. Suppose -5*g = -25, 4*g = -2*a - 2*a + h. Do 0 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5011330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000959 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20509, -41114, -61719, -82324?\n\"Answer: -20605*k + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 29*s - 8. Let p be z(27). Solve 32*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.66 - 9.66. What is the nearest to -1 in 2\/9, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474548.\nAnswer: 2, 31, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64676 divided by 19\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/4 - 1\/12. Let z = -4.4 - 0.6. Which is the nearest to v? (a) z (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/3)*t*t)\/t*t*t**(18\/7)\/t*(t**(-1\/11))**(-5\/8) assuming t is positive.\nAnswer: t**(9169\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -n - 3*m, -2535 = 5*n - m - 608. What is n rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + (sqrt(4212) + sqrt(4212)*-1)*2 + sqrt(4212) + -1 + 3 + -3*(sqrt(4212) - sqrt(4212)*3)*5)**2.\nAnswer: 2304*sqrt(13) + 4313092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9922 is divided by 1636?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 2 + 4 - 4*c**4 + 5*c**4 + 2 to w*c**4 + i*c**3 + r*c**2 + k + t*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1159496.9 + -1159497. Let a = 0 - 5. Let f = a + -20. Are f and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14581 less than -0.5?\nAnswer: -14581.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21038622 divided by -6358?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 63, -5 in increasing order.\nAnswer: -5, 39, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280 + 951. Suppose -g - 5*z = -570, 525 + v = 2*g - 4*z. List the prime factors of g.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -154?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 37*t**2\/5 - t\/5 - 37\/5.\nAnswer: (t - 1)*(t + 1)*(t + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**9\/b*b))**(-14)\/(b**(4\/13)\/(b\/(b*b\/(b*b*b**2)))))**(-20) assuming b is positive.\nAnswer: b**(-37100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 468*y - 19. Suppose -3*f + 7 = -0*f + 2*u, 3*u + 32 = 4*f. Is l(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003 + 1003 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587 (base 13) in base 7?\nAnswer: 31001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/21)\/((39\/27)\/(-13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zik?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (873\/99 - 9) + (-8714)\/(-11). Calculate the greatest common divisor of 72 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 2*s - 1 + s**2 - 3*s. Let i(a) = -a**3 - 6*a**2 + a + 6. Let c(r) = -15*h(r) - 5*i(r). Determine g, given that c(g) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 7365?\nAnswer: 139935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103002210 + 3?\nAnswer: 1103002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1380 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1273861?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.075 - -13.775. Let x be 4\/23*2\/(-4). Let p be 1\/(-2) + (-6)\/(-8). What is the nearest to p in f, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 7. Let h be c(-5). Let w be (-2)\/5*(267 + h). Let p = w + 173. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -2, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*o**2\/3 + 179*o\/9 - 2\/9 = 0. Calculate o.\nAnswer: -1\/3, 2\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 4*z + 8, 4*l + 6123*z + 3 = 6126*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 129008 + 1 + 0 + -1. Let x = -51 - -53. Suppose x*t - 258008 = 2*z, -t + 3*t - o = z. What is z rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + 10?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.08 - -5. Let f = o - 1.92. Suppose 7*t - 2*t = 10. Which is the closest to f? (a) 5 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -58, -81, -114, -157, -210, -273?\n\"Answer: -5*g**2 + 2*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10 + (-15564)\/(-28534).\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 28 - 8 = y, -2*y + 16 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -526?\nAnswer: -9\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.801 - -0.801. Is w <= 45\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 divided by 2?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -40. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 275\/50 + -4 + 545\/(-387) and 1\/774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -9. Let w = -4 - 13. Let v = l + w. Which is the smallest value? (a) 3\/4 (b) v (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134174368400 to the nearest one million.\nAnswer: 134174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 471 - 475 - (3*3)\/(-1). Let k(b) = -12*b**3 + 8*b**2 + 8*b. Let f(d) = d**3 - d**2 - d. What is j*k(q) + 40*f(q)?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, -6 in decreasing order.\nAnswer: 0, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2352 - 126377?\nAnswer: -130751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:09 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 2. Let j be i(-7). Suppose h - 5*h - 8 = 0. Sort j, h, -5 in descending order.\nAnswer: j, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23089.3 rounded to the nearest 10?\nAnswer: -23090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 + 1173*t**3 + 37233*t**2 + 276027*t + 239970 = 0.\nAnswer: -19, -10, -1, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -13.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:08 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31749.1 times -0.146?\nAnswer: -4635.3686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:49 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6270, 6264, 6254, 6240, 6222, 6200, 6174?\n\"Answer: -2*p**2 + 6272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-40)\/15 + 1). Which is the nearest to n? (a) -5 (b) 0.04 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j*j**(-4))*(j**1)**(-2))**(-29) assuming j is positive.\nAnswer: j**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -254102 (base 6) to base 2\nAnswer: -101100110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*x - 126*x + 2 - 152*x - 261*x + 568*x.\nAnswer: -73*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 306 = -40*c. Let x(m) = -m + 7. What is x(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94102271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -150*s**3 + 7*s**2 - 11*s - 26. Let h be i(-14). Round h to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - z + 55, -10 = -h - 155*z + 153*z. Solve -p - 4*t = -h, 8*p - 4*p - t + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svh when three letters picked without replacement from {h: 4, v: 8, x: 1, s: 1, l: 6}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65\/22 + 5\/11. Put 2\/9, 5, p in descending order.\nAnswer: 5, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puqqqpqquu. Give prob of picking 2 u and 1 q.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21960056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/13 + 3424*f**3\/13 - 2*f**2\/13 - 3424*f\/13 = 0.\nAnswer: -1712, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 261*w - 16564. What is n(-109)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 816 + -800. Solve 3*m = -v + 5, -3*m - 4 - s = -4*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22537, 2, 0, 28, -1 in decreasing order.\nAnswer: 28, 2, 0, -1, -22537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536) + (sqrt(4536) - sqrt(4536)*2))\/(sqrt(800) - (sqrt(800) - sqrt(800)*-4 - sqrt(800))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -0.027, 10?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = -131*u + 396 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79354646, 79354644, 79354642, 79354640, 79354638?\n\"Answer: -2*h + 79354648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4 = -4*y - 2*g + 76, -26*g + 29*g + 80 = 4*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11837142 and 715050?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let c = 17 + -14. Differentiate -5*m**3 + z + 0*m**c - m**3 + 1 wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -34024?\nAnswer: 34028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*d + 1151, u + 12 = 5*u. Let q = 873 - d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.753 times -0.4\nAnswer: 0.3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -69850.\nAnswer: -6985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440592 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270093 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 464350 smaller than 464355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:26 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*b**4 - 3*b**3 - 1348*b**2 - 32865950*b wrt b.\nAnswer: 4056*b**2 - 18*b - 2696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 1)*-3)**2 + 3.\nAnswer: 108*sqrt(19) + 6168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4712 take away -0.060421?\nAnswer: -4711.939579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*i - i + 24, -i + 8 = 2*j. Let c be i - 5 - 57\/(-51). Let d = -1.63 + 1.43. What is the second biggest value in d, c, -2\/3, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42.4 greater than -11.064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 590 - 590. Let k = 5 - 1. Suppose o = 3*z + 6, 0 = -k*y + 2*y + 4*z + 41408. What is y rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.3152 rounded to 1 decimal place?\nAnswer: 59.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 32*v - 103. Calculate f(34).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*y - 20, 2*y - 3*h = -5*h + 8. Let i be 1\/((-6)\/(-3))*y. Let r(n) = 2*n**i - 3*n + 3*n. Let p(f) = 3*f. What is r(p(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 226*j**2 - j - 475. Calculate w(-113).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(10)\/sqrt(2) + sqrt(45)\/(sqrt(9)*1))*3)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0213361646 rounded to four dps?\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000000111001 (base 2) in base 6?\nAnswer: 513521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 - o**2 - o + 1. Let w be t(1). Suppose -6*h + 4 = -w*h. Let y(a) = 2*a + 0 - a**3 - a**h - a + 1. Calculate y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7093464 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -44*t + 450. What is the remainder when u(-13) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 21196*v - 21200*v - 5*k, 4*v + 2*k + 32 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(2))**2 + ((sqrt(384) + sqrt(24))\/sqrt(12))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*g - 214. Suppose 1038 = 3*c - 3*v, -1703 = -298*c + 293*c + 2*v. What is the remainder when c is divided by g?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 + 12*j + 10. Let s be k(-7). Let y = s + -12. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7008 divided by 1752\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/8 (c) 6 (d) 675 (e) 5 (f) -8\/7 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*x - 5, 2*x = -m - 2*m + 7. Let b = -23 + 32. Suppose -x*w - 1 - b = f, 3*w + 22 = 2*f. What is the common denominator of 36\/11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 + 16946*u**2 - u**3 - 33895*u**2 - 3 + 16955*u**2 + 5*u in the form t*u**4 + q + a*u + s*u**3 + n*u**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i + 4. Let z be j(-14). Suppose -z = -6*y + 7*y. Let k be y\/(-12) - 6\/(-4). Calculate the greatest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20403252197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 + q**2 - q + 1. What is s(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from zlzzlz.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22863086 is divided by 22863047.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 + 5*h**4 - h**2 - h**3 - 6*h**4)*(3*h - h + h).\nAnswer: 9*h**5 - 3*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -7321 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:25 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 3258*z + 95 - 3243*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 2\/3, -1\/18 in ascending order.\nAnswer: -1\/18, 0.2, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441\/5 + -88. Let u = -4.93 + 4.53. What is the nearest to 2\/71 in 0.4, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:42 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34? (a) -3\/4 (b) -1 (c) -1\/6 (d) -735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*u - 21 = 0, 2*m + 0*u = 4*u + 22. Suppose 0*x - x = -m. Let i(o) = -1 - 10*o - 1 + x*o + 6*o. Calculate i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/210*-7*(-4)\/15\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/2 - 542*l**3 - 26391*l**2\/2 + 44478*l = 0 for l.\nAnswer: -1059, -28, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31\/102 - -8\/17. Let n = 2953\/13 + -227. Which is the closest to k? (a) 0 (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 6:33 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/53009732 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.4 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1094, 1218, 1344, 1472, 1602, 1734, 1868?\n\"Answer: o**2 + 121*o + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + ((0 + (sqrt(128) - (2 + sqrt(128))))*2 - (2 + -1*(0 + sqrt(128)))))**2.\nAnswer: -208*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -2) + (9 + -74 - -15).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2260*x + 231625 = -465*x for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2502, 7798, 16514, 28560, 43846, 62282, 83778, 108244?\nAnswer: 135590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from vvxxvsyqsvssssstq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 213.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 406\/215 + 22\/43. Let o be 24\/(-28) - 5952\/(-2240). Find q, given that 0*q**2 - o*q**3 + 0 - 3\/5*q**4 + g*q = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 16, 5*g + 4*m = 5*m + 224. Let f be ((-6)\/(-9))\/(2\/9). Suppose -f*y + 0*y + 45 = 0. What is the remainder when g is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2*l + 5*l)*(l + 2*l - 5*l) - 11*l**2 + 52*l - 30*l - 24*l to the form j*l**2 + m*l + t and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 60667.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -634a0a0 + 9?\nAnswer: -634a092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/9)\/p*p**(-3\/7))\/(p**2\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(-899\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 370459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 + 326. Solve -3 = l*t + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822\/((-7)\/2 - (-2 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 12*k + 8497 - 8343, k = 3*r - 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 - -1.4. Let a = -44 - d. Let o = a - -38.9999988. What is o rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:00 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19728892 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2618 = -7766. What is the remainder when r is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 129, 585\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b**2 - 8*b. Suppose 0 = 5*o - 3*r - 3 + 4, 1 = 3*o - r. Let t(n) be the second derivative of n**4\/12 - n**3\/6 - n + 66. What is o*z(d) - 10*t(d)?\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 12*n - 2. Calculate v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 144*l - 76. Let k(a) = 2*a**2 - 71*a + 37. Let p(r) = 3*b(r) + 5*k(r). What is p(38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050183 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:45 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 653130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1905705.\nAnswer: -1\/635235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-654)\/(-40))\/(3855\/514) and -3\/230.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 + 177. Suppose 0 = a*h - 47*h + 4. Calculate the highest common divisor of 4 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/24 - 345*f**2. Let m(k) = 134*k**2. Give m(o(v)).\nAnswer: 134*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 59*g - 133. Give v(-26).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (7 - (7 + 1)). Factor -610*g**2 + 26*g - 45*g - 9*g**k - g**4 - 6 + 589*g**2.\nAnswer: -(g + 1)**3*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, 43 in increasing order.\nAnswer: -26, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*p + 8*p**2 - 132*p + 387*p - 130*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1412.6\nAnswer: -7063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n + 3. Let y be f(4). Let o = -17 - y. Differentiate c**o - 2 + c**4 - c**4 + 6*c**4 wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 49*x + 1. Calculate the remainder when s(1) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2085 = r, 0 = 2*s - r - 3*r - 1376. Suppose -g + s = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25664699 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (0 - 1))\/(-1). Let p(a) = 3*a**2 - 2*a - 5. Let k be p(-3). Suppose -3*i + q + 0*q = 8, 3*i = -4*q - k. Put 4, i, u in descending order.\nAnswer: 4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235465, 235598, 235811, 236098, 236453, 236870?\nAnswer: 237343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j, 5*m - 3*j = -2 - 64. Let w be ((270\/(-12))\/m)\/(3\/4). Factor -4\/5*s**w + 12\/5*s - 8\/5.\nAnswer: -4*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5774 rounded to two decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 - a**2\/2 - a. Let v(b) be the first derivative of c(b). Let i(k) = -k**2. Calculate v(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7*g**2 + 89*g**3 - 30*g**3 - 33*g**3 - 28*g**3 in the form x*g**3 + d*g**2 + t*g + h and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*u - 100*u - 5*k + 2413 = -244*u, -k + 6*k = -3*u - 59 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00231615 rounded to five dps?\nAnswer: 0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:42 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1150)\/6)\/(((-4)\/(-12))\/1). Let j = q + 588. Calculate the remainder when 26 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -p, -17691*m = -17689*m + 11*p + 120 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2310 = 3*v. Let t be 18\/v - (-2)\/(-11). Let c = -2075 + 2075.2. Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10431250 (base 6) to base 9\nAnswer: 530383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + l**2 - l - 1. Let p be (-2 - -4) + -4 - -2. Suppose -3*h - 4*z = h - 8, p = 4*h - 3*z + 13. List the prime factors of a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -851*x**3\/3 + 5*x**2\/2 - 271. Let d(o) = o**2 + o. Let m(a) = -5*d(a) + l(a). Let q(h) = -h**2. Give q(m(n)).\nAnswer: -732736*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27411610 (base 8) in base 15?\nAnswer: -81bba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5*(-60)\/(-24). Sort -5, -3, -2, f in descending order.\nAnswer: f, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + -13)*(1 - (1 + -100000)). What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 457 = -4707. Let h = 850 + z. Solve 7*r + 28 = -h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 9*d**2 - 5*d + 27. Calculate c(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -50*w**2 + 1. Let o be v(1). Let k = -28 - o. Let b = -2 + k. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8) + 0 + -20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgx when three letters picked without replacement from {m: 3, w: 2, x: 1, h: 1, g: 12}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5 = -r, -v + 193320*r - 193322*r = -19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w*y**2 + 4*w + 27*y**2 - 58 wrt y?\nAnswer: 4*w*y + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 725*k. Let t(n) be the third derivative of n**5\/30 + 3007*n**2. Calculate t(b(v)).\nAnswer: 1051250*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/2 - 3696*y**3 - 956925*y**2\/2 + 5062075*y - 12886500 = 0.\nAnswer: -7260, -142, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13214*m**4 + 37*m**2 - 2*m - 159423?\nAnswer: 158568*m**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/40 and (1015\/(-125) - -8)\/((-1)\/85).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*m**2*x**2 + 375*m**2*x - 3*m**2 + 1698*m*x**3 + x wrt x.\nAnswer: -40*m**2 + 10188*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 3, 10, -56 in increasing order.\nAnswer: -63, -56, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -9) + (-1 - -1) + -26 + 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32096684 and 1636?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from vvrvvnsvnnnnnnvn?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35836056 divided by -9391?\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 3 (c) 99\/10 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2353010 to the nearest 10000.\nAnswer: -2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209891585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -28, -40?\n\"Answer: -12*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14\/9 + -47\/36. Which is the closest to -0.1? (a) o (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxooxxoxox. Give prob of sequence ox.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-6 + (5 - 2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/244107777 and 83\/24.\nAnswer: 1952862216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2126408.4 months?\nAnswer: 17720.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 207.2125 millennia?\nAnswer: 2072.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32792 and 180356.\nAnswer: 360712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Let n(j) = -j**2 - 15*j - 33. Let t be n(-9). Suppose -15 = -r - 4*l, f*r - 2*l + t = 52. Solve 0 = -3*w - 8 - r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120210011 (base 3) to base 12\nAnswer: 16071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 32*a + 13. Let i be g(-11). Let r(p) = 2*p + 434*p**2 - 424*p**2 - i*p. Let q(h) = 11*h. Give r(q(k)).\nAnswer: 1210*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 14 + 0 = 7*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 21*l**2 + 25*l**2 + 10*l**2 - 88 - 51*l - 61*l**2 = 0.\nAnswer: -8, -11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557089*f**2 - f + 18834.\nAnswer: -1114178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s + 44*s = 260 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 10*i = -6. Let s(c) = 49*c - 13. Let h be s(i). What is the highest common factor of 120 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/6 + 29*w**3\/2 + 27*w**2\/2 + 12127*w. Give v(44).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059760192 to four dps.\nAnswer: -0.0598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31322022 + -2100032?\nAnswer: -100022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-156)\/120)\/((-2)\/5))\/(2\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*c - 58*c + 30*c + 8*c - 1889*c**2 to the form x*c + h + i*c**2 and give i.\nAnswer: -1889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 4\/3 (c) 8 (d) -1404 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5, 4, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894360 - 1280285 = 15585*k - 101840 for k.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -16\/45*g**4 + 0*g - 1\/75*g**6 - 1\/1575*g**7 + 0*g**3 - 10*g**2 - 8\/75*g**5 + 0. Factor z(v).\nAnswer: -2*v*(v + 4)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38107\/56 + 3029\/8. Let v = 607\/2 + u. Calculate the common denominator of 57\/4 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 0*d - 2*d - 79 + 2*d**2 - 2*d**3 + 85 to f*d + g*d**3 + x*d**2 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 11) to base 3.\nAnswer: -101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/96954 and -125\/12376.\nAnswer: 46150104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -13*b**4\/3 - b**3\/6 + 15*b**2\/2 + 31*b. What is the second derivative of v(m) wrt m?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -129*j**2 - 62. Let s be h(11). Let i = -109941\/7 - s. Is i equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 17*z - 9, 9*q + 202*z = 8*q + 205*z - 3 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12439 + 7441. Let g = c + 4998.35952. Let x = g - 0.36. Round x to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 10. Suppose -c - 160 = -y*c. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 2*h + 3. Suppose -p + 1 = 2. Suppose 3*i - 8 = -i. Let w(z) = 0 + 5 - i - 2. Determine p*u(b) + 3*w(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + s**2 - 3)*(3*s - 3*s - 2*s) + 6*s + 5*s**3 - 6*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1476 + -12?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -22*n**2 - 6*n + 16. Let c(i) = 20*i**2 + 5*i - 18. Calculate 6*c(a) + 5*m(a).\nAnswer: 10*a**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -2\/15 (c) 7.26 (d) -0.084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/((80\/(-10))\/8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 6386016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5724208 divided by -1431052\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 7*g**2 - 7*g + 6. Let k be i(6). Let q = 57 + -53. Suppose 2*m = 4*r + 18, 8*r + 3 = 4*r - m. What is the closest to r in 3, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -5. Let o be c - -8 - 2*12. What is the remainder when 34 is divided by (-14)\/o - (-52)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + l + l + (0 + l + 0)*(-2 + 2 + 3))*(-29*l - 19*l - 3*l) to h + d*l + b*l**2 and give b.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82 - 7790\/95)\/(6\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n - 2. Determine j(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 7009 = -687. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360822 is divided by 180063.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56e4a + 3?\nAnswer: -56e47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -39709.\nAnswer: 14\/39709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620540 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:18 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -171*f**2 + 17*f + 13. Let v(p) = -117*p**2 + 12*p + 9. Let j(t) = 5*o(t) - 7*v(t). What is j(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q**2 - 3*q - 2*q**3 + 151*q**2 - 61*q**2.\nAnswer: -2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*h - 38892349, -5*v + 66199253 = 5*h + 1378718. Suppose h = 4*t + 1903251. Let w = t - 11165215. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13932\/13 or 1073?\nAnswer: 13932\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51487, 48804, 46121, 43438?\nAnswer: 40755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**5 + 15*b**4\/4 - 5*b**3\/3 - 15*b**2\/2 + 221. Determine c, given that z(c) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001213 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwrwrwwrewwwew. What is prob of sequence eerr?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251828 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.75 + -2.55. Which is the nearest to -1? (a) 2\/25 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:33 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1298, 1274, 1300, 1382, 1526?\n\"Answer: c**3 + 19*c**2 - 88*c + 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Let v be 1\/((-2)\/(0 + l)). Let m(i) = 4*i. Give m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13635213 rounded to three decimal places?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -14. Let f = -21 + 35. Let z = t - f. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:59 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**2 - 2*z - 2\/15*z**3 - 1\/90*z**4 + 4. Factor o(q).\nAnswer: -2*q*(q + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -47 (c) -8\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by ((-23 - (-12)\/3) + 0)*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, -20, 97\/4 in descending order.\nAnswer: 97\/4, 2\/9, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*z + z - 105, -32 = -z - 3*p. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/124390 and 79\/70?\nAnswer: 124390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103258199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178 and 3634?\nAnswer: 323426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7452 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 3*x + 212, 0 = -3*a + 2*x + 176. Let 576 + a*w - 167*w**2 + 32*w + 171*w**2 + 8*w = 0. Calculate w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 17*z**2\/2 - 12*z + 1. Suppose 23 = 3*q - 4*b, -5*q + 4*q + 4*b = -13. Is o(q) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(11\/2))**(-1\/3) assuming x is positive.\nAnswer: x**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 5*b**2 + 6*b + 6. Let s(w) = -4*w**3 + 6*w**2 + 7*w + 7. Calculate 7*n(i) - 6*s(i).\nAnswer: -4*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/7*2*(-77)\/14. Solve g*c - 4 = 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4325 - 4316. Solve -7*x = w*x - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1712\/3 - 580. Suppose 2*g - 252 = -g. What is the common denominator of 2\/8 + 615\/g and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2653837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**3 - 3*x + 19*x**3 - x - 5 to the form r*x + w + u*x**3 + j*x**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*t + 3*g + 19, t + g - 10 = 0. Which is the closest to t? (a) 0.3 (b) -0.4 (c) 0.5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*c**3*h**3 - 413*c**3*h**2 + 2*c**3*h - 2*c**2*h**3 + 10278*h**3 - 3*h**2 wrt c.\nAnswer: 252*h**3 - 2478*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232454 + -14?\nAnswer: -232512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 82.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1423371910 divided by 284674382.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155174229 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 4687?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 1, p: 7, z: 3, g: 5, b: 2}. Give prob of picking 2 p, 1 w, and 1 z.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*c - 9 - 6, -2*m = -4*c + 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-15 + 12 - -6)) + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571802.8 litres to millilitres.\nAnswer: 571802800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x*x**(-6)*x))**(-3\/14)*(x**(-1\/5)*x**(4\/3))**24 assuming x is positive.\nAnswer: x**(257\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1418, 1417, 1416, 1415?\n\"Answer: -x + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + sqrt(17))*3 + (sqrt(119)*-1)\/sqrt(7).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 + -3 + (-7 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 4*o - o + 27*o - 11*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 18693*t - 1671596. Give k(89).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 less than 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13009534*b**3 - 41937425*b**2?\nAnswer: 78057204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - ((sqrt(605) - (sqrt(605) + 0)) + -4 - sqrt(605)) - 1*(sqrt(605) + 1))*2 + -3)**2.\nAnswer: 132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*y + 3. Let n = 9 + -5. Let q be (-6)\/2*(-78 - -77). Solve -3*p + n + y = q*u, 4*p = -2*u + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.8. Let u = -7.4 + 7. Let p = u + x. Which is the second biggest value? (a) -0.2 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51510619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -28. Find the third derivative of 6*g**r + g**2 + 4*g**5 + 2*g**2 - 2*g**2 wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 87 + 31 + 2708*f**2 + 27 to d*f**2 + o + i*f and give d.\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 212130109 to the power of 1\/2, to the nearest integer?\nAnswer: 14565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3001838*u**2. Let r(y) = 7*y**2. What is a(r(z))?\nAnswer: -147090062*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let f = 2 - -1. Suppose -y = 2*h - 14 - 10, 4*y - 41 = 3*h. Suppose -y + 2 = -f*p. What is l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 6*t + 1. Let h be l(5). Let y = h + -4. Let n(p) = p. Let d be n(y). Solve 4*s = -a - d + 4, -7 = -5*s + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*j - 40, 3*y + 118*j - 119*j = -26 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.2179 millennia?\nAnswer: 321.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252.9, -5\/7, -7, 3 in decreasing order.\nAnswer: 252.9, 3, -5\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2819, -5639, -8459?\nAnswer: -11279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*y**2 - 2*y - 44?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - 108\/(-14). Suppose 3*o + 15 = t*o. Suppose 3*n = 4*y + 90, -3*y + 4*y + 90 = o*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 = 2*u, -u - w + 12 = 2*u. Sort u, -1, -3 in increasing order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*b - 3237 = -1141*b + 358*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 + 1 + 5*o in the form m + y*o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 271, 2\/13, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*m + 63 = -97 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -7036, -4 in decreasing order.\nAnswer: -4, -28, -7036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 14741\/507. Let a = o + -1186825\/676. Let i = a - -34719\/20. What is the common denominator of -71\/8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 11311332?\nAnswer: 11312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4 - -294c?\nAnswer: 2a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 31. Let f(c) = 27*c**2 - 568*c. Give f(k(o)).\nAnswer: 27*o**2 + 1106*o + 8339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370 a factor of 3970802007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 7650 = 25*d. Let w = -214 - d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 8*k - 27. Let z be q(4). Solve z*t - 1 = 2*b, 3*t - 5*t = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1209 - -1676. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 32, 8, 1951.\nAnswer: -5, -2, 8, 32, 1951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-21)*h**16*(h*h*h*h*h**(-2\/9)*h*h)**20 assuming h is positive.\nAnswer: h**(995\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:58 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -21323*o + 128207. Determine s(6).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13584888 divided by -4?\nAnswer: 3396222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1755 and 150.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007493809 to the power of 1\/2, to the nearest integer?\nAnswer: 31741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -141. Let y = 1.8 - 2. Which is the closest to f? (a) y (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25.31 and 4496.2.\nAnswer: 4521.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 4*r - 7*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 38*w**2 + 398*w + 6530. Calculate f(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.384+-3.082501\nAnswer: -3.466501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -47. Does 20 divide 477\/12 + 10\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 - 5*t**4 - 6 + 2*t**2 - 8 in the form g*t**2 + m*t**3 + a*t + v + f*t**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f)*(-5*f + 6*f - 2 + f) + (-3*f + 0*f + 5*f)*(3*f + f - 2*f).\nAnswer: 6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -17?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 84, 145, 202, 255, 304?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*p = -12, v - 194*p - 7 = -192*p. Solve -v*w - 1601 = -1634 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 159*a - 1. Let c be y(1). Let t = c - 240. Let n = t - -86. Solve -n*h = 12, 4 = f - 2*h - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*p**2 - 555*p**2 + 9*p**3 - 46*p**3 + 194*p**2 + 51*p**2 wrt p.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*(p*p**1)\/p)*p)**1)**48 assuming p is positive.\nAnswer: p**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 402\/4*(534304 + -8). Let h = b - 90696748. Round h to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/14 + -3 + 46\/(-36). Which is the smallest value? (a) -4 (b) u (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h - 10. Let b be j(10). Suppose -1 = q, 3*c - 7*q = -2*q + b. What is the least common multiple of c and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*z - 10 = 0, 13*z + 6 = 3*q + 16*z. Suppose 0*g + 4*g = -5*j + 6481, 0 = 3*g + q*j - 4860. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 876*k**3 - 10857*k**2 + 26394*k - 16416 = 0.\nAnswer: -304, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221817 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, b: 1}. Give prob of picking 2 c and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 5*p. Let u be (-24)\/(-2) - ((11 - 12) + 6). Let d = 1 - 2. Let s = u + d. Let b(m) = m**2 - 4*m. Give s*b(f) + 5*a(f).\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 3. Let h(k) = 8*k**2 + 2*k - 1. Give h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249040974 - -249040565.260028. Let m = 408.81 + f. Let o = -0.07 + m. Round o to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxm when four letters picked without replacement from {p: 11, e: 1, o: 1, x: 2, m: 4}?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0\/(-4) - -3 - -33298. Round l to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*x - 441 + 477, 3*i + 28 = x. Let g(c) = -10 - 3 - c + 1. Give g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 2136\/23?\nAnswer: 2136\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -3462?\nAnswer: -55\/3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -4*p**7\/21 - 2*p**3\/3 - 2*p**2 - 1319*p. What is the second derivative of a(l) wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - i - 6 = 2*i, 0 = -4*y + 2*i - 14. Which is the biggest value? (a) y (b) 3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, r: 4, n: 1, c: 2}. Give prob of picking 1 n, 2 c, and 1 t.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19004582 is divided by 43992.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -19*x**8\/48 - 37*x**4\/24 + 83*x**2. Find the second derivative of a(s) wrt s.\nAnswer: -2660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -22*w**2\/9 + 32176*w\/9 + 58720\/3 = 0.\nAnswer: -60\/11, 1468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 307 (base 8) to base 5\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 93 + -91?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52615338271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)*l*l**(2\/13)*(l*l**4*l)\/l**(-4\/5) assuming l is positive.\nAnswer: l**(491\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3305*a + 218. Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 + 291*i + 297*i - 891*i + 296*i in the form j*i + m and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.640468 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(-9)\/(153\/34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1455850*w**3 + 9*w**2 + 38*w + 83. Let f be d(-3). What is f rounded to the nearest 100000?\nAnswer: 39300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3882 (b) 8\/97 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 57*r + 1399. Let l be d(-46). Calculate the greatest common factor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(13\/7)*a**38 assuming a is positive.\nAnswer: a**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 13. Let u = 17 + -28. Let o be w(u). Suppose -v - 13 = -2*f, -5*f + o = -2*v - 0. Calculate the remainder when 13 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2263842343\/808726950 + -22\/2995285. Let g = -1\/1350 - v. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359*k + 651 = -1380*k. Is -546\/17 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 108 = -10*j. Suppose j*n = 3*x - 38, 6*n - n = -3*x - 32. Put -5, n, -3, -10 in decreasing order.\nAnswer: -3, -5, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s + 76*s = -16. Solve s = 9*v + 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 2*z + 12. Solve 0 = -y + 1, -3 = -z*a + y - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2)\/16 + (-121)\/(-420). Let m = p - 88\/105. Sort -1, m, -0.06 in descending order.\nAnswer: -0.06, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*m**2*u + 2*b**3*m - 22*b**3*u - 94*b**2*m**2 - 7*b**2*u wrt m.\nAnswer: -4*b**3*u - 188*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101.0415 - 0.0415. Let r = 101.003635 - s. What is r rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 5456104*u + 3721133857352.\nAnswer: 2*(u + 1364026)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 3845179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3402254853 and 796?\nAnswer: 3402254057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 21 and -209.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 120 = -35. Let z = m - 32. Is z <= -2\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16721 and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*i**4 + 12979385*i**2 + 9141344 wrt i.\nAnswer: 20*i**3 + 25958770*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1, -3*a - 68 = -2*u + 17. Suppose 82 = 3*r - u. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-8))\/(-5)*(-216)\/(-90)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + a + 0*a - a. Let x(t) = t + 3*t - 4*t + 2*t. Calculate x(u(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 6)*(-10)\/8. Let p = -10 - d. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12613 + 19314. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35))\/((40\/8)\/35)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*m**2 + 54*m**2 - 3*m**2.\nAnswer: 129*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 7*w - 6. Determine d(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -0.3, -0.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 3*s**3 + 3*s**3)*(5 - 3 + 12 + (2 - 3 + 2)*(1 + 0 + 0)).\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -77 (b) -5 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -k - 6, -z - k = 2*z - 14. Let o be 5*4*z\/8. Let r be 2\/o + (-76)\/180. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/3756663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3 - (-7)\/(-2)). Suppose 4*q = r + 2. Let w be 2 + (-122003)\/1 + q. What is w rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30\/7 + 233\/56. Let h(j) = -j**2 + 8*j + 15. Let w be h(10). Let n = 0 - -0.2. Sort b, w, n in decreasing order.\nAnswer: n, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*n - 764. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 4*t + 23, -i - 3*t = -14. Let q be ((-165)\/(-10))\/3 + i. Let -q*c**2 + 0 + 3*c + 3\/2*c**3 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a factor of 262618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656362 is divided by 1442.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17041 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + 2. Suppose 0 = -5*l - v*l + 15. Suppose l*w - 29 - 7 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/11)*d)\/d**(-7)*d**9*d*d*d**(-1\/3) assuming d is positive.\nAnswer: d**(667\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797713 a multiple of 2011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2032658 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxffeefevefxcv. What is prob of sequence xcfx?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 403*c**2 + 789*c + 8552. Give f(405).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -136*z. Let j(n) = 14*n + 354. Determine j(r(t)).\nAnswer: -1904*t + 354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(1216) + 0 + 5)**2 - (-6*(sqrt(1900) + sqrt(1900) + -1*(0 + sqrt(1900) + sqrt(1900))))**2).\nAnswer: -7446 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 114*i - 912. Calculate a(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 2*t - 3 = 6*t - 2*t + 11, 2*i + 2 = 4*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 79. Let r(i) = 2*i + 13. Determine r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = -r. Suppose -4*b = -r*b + 20. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1184*a - 60461. Give r(51).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 - 31. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10017128 divided by 4?\nAnswer: 2504282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146 or 1?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 748617.2 micrograms?\nAnswer: 748617200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0 + 0 + 3*q - q**3 + 3. Let y be h(-2). Suppose y*j - 81 = -2*l, 0 = l - 0*l + j - 45. What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.107039 to 3 dps.\nAnswer: -1.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c30b14 + 4?\nAnswer: 5c30b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3014\/(-411)*15\/(-55)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44196707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7181676, -14363352, -21545028, -28726704, -35908380, -43090056?\n\"Answer: -7181676*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 = -236*t - 605 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/38*(-17)\/(2737\/46)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -1) + (8 - 0 - (16 + 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26364141 - -1?\nAnswer: 26364142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174661?\nAnswer: 389, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 326459851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvr when three letters picked without replacement from {m: 3, c: 1, v: 6, l: 1, r: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)**(-12))**(-33) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100056180 divided by -5002809.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 + 233. What is the closest to -2 in 5, 4\/5, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 78. Let r be w(9). What is the greatest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911656.\nAnswer: 2, 113957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {l: 11, c: 2, a: 7}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 69*b - 202. Determine d(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/30 + v**5\/60 - v**4\/4 - 7*v**3\/6 - 8*v**2. Let f be w(-3). Let z = f + -36. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, -48, -5 in decreasing order.\nAnswer: 3, 1, -2, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (66\/4)\/(159\/106)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3493.135 millimeters to micrometers.\nAnswer: 3493135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(0*y + 3*y - 5*y) + (-y + y + 3*y)*(4 - 3 + 3) + y - 2*y + 2*y + (-2*y - 1 + 1)*(-1 + 4 - 1)*(2 + 5 + 0) as h + c*y and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) - (sqrt(810)*2 + sqrt(810) - sqrt(810) - sqrt(810)))\/(-6*(sqrt(2) + sqrt(8))) + -4 + (sqrt(320) + -1)**2 + 2*sqrt(15)\/sqrt(3) + 2.\nAnswer: -14*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1579 from 39.\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 5. Let d be q(5). Let i = -32 + 35. Suppose i*j - 2 = 1. Solve d = -3*v - 7 + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*m + 34*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, 1\/6, 0, -735, 0.0213 in descending order.\nAnswer: 4, 3\/2, 1\/6, 0.0213, 0, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbbmbywywimbwbby. What is prob of picking 3 m and 1 y?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 10:22 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 5 - 5 + (-2*d - d + 5*d)*(1005 - 1005 + 3*d**2 + 9*d) in the form b*d + j + q*d**2 + m*d**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*h + 20, -4*u - 19*h + 21*h + 40 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.34 - -1.06. Let i = p - 8. Let z = -0.4 + i. Which is smaller: z or 17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.225 - 0.075. Let w = t + 3.2999971. Round w to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(50\/(-10 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-4)\/18 - 16460\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4162731 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 711.\nAnswer: 5688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254064 and 18704.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-8 + 24 - -25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(17*r**2 - 16*r**2 + 32*r**2) to the form f + a*r**2 + m*r and give a.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0.06 (b) 4 (c) 2458.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16*28\/(-672))\/(((-20)\/2)\/(-5))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26073926 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Let z = -250 + 258. Let t be 1\/(2\/8) + 11. Solve 0 = -o + 5*q + z + t, -k*o = 5*q + 31 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201469?\nAnswer: 31, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23334214 divided by -5\nAnswer: 23334214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 12:32 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5)*m)**20\/((m*((m\/(m*m\/(m\/m**0))*m)\/m)\/m)\/(m\/(m\/((m*m**(-3\/5))\/m)))))\/(m\/(m*m\/(m**(7\/2)*m))*m*m*m**15)**(39\/4) assuming m is positive.\nAnswer: m**(-6739\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/27, -2, -0.1, 3\/7.\nAnswer: -4, -2, -0.1, -2\/27, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 990.57 months in millennia?\nAnswer: 0.0825475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1409*c*j**2 - c*j + 74*c + 33*j**2 - 5*j - 1 wrt j.\nAnswer: -2818*c + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 220. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3 - (-406)\/(-10962).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(2\/13)))\/s)\/(s*s*s*s**15))\/(s\/s**(-1\/17)*s)**17 assuming s is positive.\nAnswer: s**(-700\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 - 36*n**2 + 7*n - 6. Let m be o(5). Calculate the greatest common divisor of 1372 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 2574, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58126 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04055 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i**4 + 4153*i**3\/3 + 17718*i**2 - 10393884*i - 2475720 = 0.\nAnswer: -78, -5\/21, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 != 1686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.09203 minutes to milliseconds.\nAnswer: 5825521.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*j + 19512 - 19544, -3*b + 4*j + 41 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*o**2*q**2 - 15*c**2*o**2*q + 3*c**2*o**2 - 5*c*o*q - 730*o**2*q**2 + 2*q**2 wrt q?\nAnswer: 4*c**2*o**2 - 1460*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34656 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: Suppose -2*f - g + 89 = 0, 4*g = -0*f - 3*f + 131. What is the least common multiple of (330\/(-21))\/((-30)\/105) and f?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 706 - 1832.8\nAnswer: -1126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 - (4 - (11 + -6)))) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 666.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52627 is divided by 798.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*n + y, -5*n - y + 102 + 52 = 0. Suppose 32*c = -58 - 326. Let b = n + c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((216\/(-78))\/(-6))\/(((-32)\/(-12))\/(16\/(-24)))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 943? (a) 1 (b) -13 (c) 1\/2 (d) -0.1 (e) -347 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.08, -1, 106\/3, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428407468?\nAnswer: 2, 71, 499, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-4 + 5\/((-175)\/(-133)). Which is the second biggest value? (a) 2\/7 (b) j (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 + f**2 - 3*f - 1. Let n(o) be the second derivative of o**5\/5 + o**4\/12 - o**3\/3 - o**2\/2 - 734*o. Give -2*h(u) + 3*n(u).\nAnswer: 2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = 4*b - 313. Let x be 2\/6 + b\/(-30). What is the biggest value in 1, x, 0.055?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) -0.1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 25*v**5 - 1390*v**4 + 21465*v**3 - 95840*v**2 + 90140*v + 52800 = 0.\nAnswer: -2\/5, 2, 5, 16, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8455658 to four dps.\nAnswer: -0.8456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than 76149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqzzzqzzzuzzqz. Give prob of picking 2 z.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18458440 and 55440.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 + 9 = 2*w, d - 5*w - 8 = 0. Let m(x) = 0 - 3 + 2*x**2 - d - 25*x**2 + 12*x**2 + x**3 + 10*x. Give m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 + -176. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27193210 to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11971753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*c**2 + c + 23 - c - 22 to the form t*c + x + h*c**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.53 - -5.53. Which is the smallest value? (a) x (b) -16 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvjjjjvyjjlvljyvl. What is prob of sequence yl?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 58*o - 166. Let f be q(61). Let i(u) = 3*u**2 + 5*u. Let w(c) = 8*c**2 + 14*c. Give f*i(n) - 6*w(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*b + 3, 0*p + 3*b = 5*p - 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -18*y - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -918139*s**3 - 959425 wrt s.\nAnswer: -2754417*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**4 + 5123435*u**3 + 15370140*u**2 - 122961940*u + 143455760 = 0.\nAnswer: -1024684, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 515 + i**2 + 2722 + 0*i**2 - i. Let w be g(0). Let r = w - 2237. Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27341 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3501416 to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 7*u - 5 - 3*u + 4*u. Let d(c) = -1. Let h(x) = 5*d(x) - i(x). Let t(a) = -16*a. Calculate h(t(l)).\nAnswer: 112*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = -2*t + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 17*i + 49. Suppose -601*n - 191 = 689 - 4486. Calculate v(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*1\/((-2)\/14*-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2435*i - 1609 - 1967 - 3679 + 1258 - 1940 with respect to i.\nAnswer: -2435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025858 rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -13 (c) 0.2 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5, -278 + 266 = 2*f + 2*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4500 and -46\/4275.\nAnswer: 85500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a - 14680 - 28573 = -581*a + 13627 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*i - 303*i - 4*x = -46, 5*i = 2*x + 31. Solve i*s = 45 - 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2. Let d(l) = 61*l - 4082. Let v be d(67). Let n(p) be the third derivative of -7*p**5\/60 - p**4\/24 + p**3\/6 - p**2. Calculate v*y(r) + 2*n(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 + 8*k**2 + 8*k - 14. Let s(i) = -4*i**3 - 5*i**2 - 5*i + 9. Let y = 21 - 26. Determine y*h(d) - 8*s(d).\nAnswer: 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 17. Let w be y(1). Let x = -4.96 + 5. Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 70.005. Let d = -0.005 + w. Which is smaller: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.05 - -15.05. Which is the second smallest value? (a) 3 (b) n (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 87, 143, 203, 261, 311, 347, 363?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.2 and 3850336?\nAnswer: -20021747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567416 is divided by 2046.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*h = -25, 4*h + 33 = -3*g + 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 - 1540*r**2 - r. Let n(u) = 14*u**2 + u. Determine n(m(f)).\nAnswer: 14*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - ((-8)\/(-6) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/11)\/f*f)\/(f*f**(24\/7)*f) assuming f is positive.\nAnswer: f**(-327\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(52)*3*-3)\/((sqrt(576) - -1*sqrt(576))*1).\nAnswer: 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let g(z) = 2*z**2 - 33*z. Let c be g(17). Let a(j) = -c*j + 21*j - 1 + 6 - 17*j. Determine w(a(y)).\nAnswer: 26*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*q - 2217, -3*r - q + 1058 + 272 = 0. List the prime factors of r.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 973 + -513. List the prime factors of c.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-250)\/35 - -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 11\/18 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 1.7. Let q be -1 + 0 + (4 - (-56)\/(-18)). Let u = -296\/765 - 2\/153. What is the nearest to i in u, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18832870 (base 9) in base 3?\nAnswer: -122221002222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/124810 and 79\/5754.\nAnswer: 51296910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**4 + 10*m**3.\nAnswer: 5*m**3*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.114 - -0.064. Which is the nearest to 1? (a) q (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-180)\/(-81))*4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116.2, 0.5, -1, 112, 1.\nAnswer: -1, 0.5, 1, 112, 116.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2083329 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 - 5. Let n(f) = 2*f**3 + 7*f**2 - 4*f + 6. Let h be n(-4). Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 57. Suppose n - a*l + 1 = 14, l = -n + 28. Differentiate -7 + n*m + 16 + 8 with respect to m.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaahhajajhiiq. What is prob of picking 1 j, 1 h, and 1 q?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 + 2*w**4\/3 - 3*w**3\/2 - 3*w. Let r be b(-9). Suppose -5*x - 13 = 3*o + 27, 4*o - x + 15 = r. Are o and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 526934059 and 10?\nAnswer: 5269340590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 592397610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11680, 23372, 35066, 46762?\nAnswer: 58460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13623777*c - 4855024*c + 30896845*c.\nAnswer: 39665598*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*f - 51 + 131 = 0, -5 = f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4607*o - 439089 = -8870*o for o.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561807.\nAnswer: 3, 62423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.66 * 667961\nAnswer: 1108815.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94193 is divided by 585.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31111121010 (base 4) in base 16?\nAnswer: 355644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30978882 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 33*b + 21. What is o(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 1010112210?\nAnswer: 1010112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:32 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*k + 3*j + 5, j + 8 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(165\/(-77462)) - (3 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 5*g + 2*g - 6*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*h + 222 = 6*h, -136 = -3*v + h. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10465602 (base 7) to base 16\nAnswer: -dd7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*h - 24, 3 = -f + 5*h + 4. Suppose -7 = 2*m - 9*m. Let u be (1 + f + m)*(50 - 52). Solve -5*w - u = -19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 141*j**2 + 4*j + 1. Determine x(1).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + 2 + 2. Suppose n*r = 204 + 431. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 26.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 44. Suppose -2*m + x = -0*m. Let n be -104*(48\/(-60) + 1\/(-5)). What is the highest common factor of n and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006886 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -690*u - 19. Is l(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14643 + 14643.2. Which is the closest to -0.3? (a) 2 (b) -0.1 (c) s (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - 1 - 935\/(-272) and (71\/(-36))\/(1\/2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13215394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -45*v**2 + 97*v. Let s(y) = -4*y + 8. Give g(s(o)).\nAnswer: -720*o**2 + 2492*o - 2104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let m(f) = 0 + 5*f + 2*f + 0. Calculate u(m(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-3 - (-360 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23915*27.\nAnswer: 645705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/40 + z**5\/90 + z**4\/8 - z**3\/9 + 45*z**2 - 70. Let r(j) be the second derivative of q(j). Factor r(g).\nAnswer: -(g - 1)*(g + 1)*(9*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 + 9)) + -10 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (-1 + sqrt(180))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Suppose 37*f = 41*f. Let t(v) be the first derivative of -3\/2*v**2 + f*v - 6. Calculate j(t(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00102959136 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*h = -9, j - 27 = -2*j + 4*h. Suppose -93 = 677*n - 388 - 382. What is the highest common factor of n and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*d - 7, 2*a + 5*d - 1 = -0*a. Let n be (-3)\/((-18)\/42)*(-1 - a). Calculate the greatest common divisor of 56 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 41416.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k, 0 = -u - k - k + 19. Let a be 2\/(-6) - (2782\/(-39) + -7). What is the greatest common divisor of a and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4301 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528952.\nAnswer: 2, 37, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635700 is divided by 2097.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1346*u**2 - 43*u + 315. Let f(v) = -4*v**2. Determine p(f(r)).\nAnswer: -21536*r**4 + 172*r**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -0.5, 0.2, -2280 in ascending order.\nAnswer: -2280, -0.5, 0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 + -12310100?\nAnswer: -12303121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 3*i + 31. Let s be m(0). Suppose -2*d - 210 = -2*z, 8*z - 3*z - 525 = 3*d. Suppose 2*c - s - z = 0. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*q + 1 = -h, -4*q + 8 = -2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 4. Let z(m) = -m + 4. Let k(i) = 4*f(i) + 3*z(i). Let u be -5 - (0 - -2 - 2). Give k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1223852, 4895413, 11014684, 19581665?\n\"Answer: 1223855*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017243947 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -3, 519 in decreasing order.\nAnswer: 519, -3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 - 25*i**2 - 21*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -7*j + 69 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 0*i + 0*i**5 + 0*i**4 - 4*i**6 + 27\/2*i**2 - 12 + 0*i**3. Find the second derivative of b(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y. Let i be d(-3). Solve -v - v + i = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1514142 and 48068.\nAnswer: 3028284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3071000 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2 - -1) + -3. Let t = -2 - s. Suppose 4*y + 4*b - 12 = -0*b, -21 = 5*y - 4*b. Are t and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -10. Let q = -18 - p. Let o be 23\/3 + (-2)\/q. Calculate the greatest common divisor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6267 - 6268 + 12535 - 247*z)*(2 + z - 2) as b*z + r + u*z**2 and give u.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 41.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -5, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -618.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04878453 and 0.3.\nAnswer: -0.014635359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, -0.2, 1\/3, 128\/477 in ascending order.\nAnswer: -0.2, 0.1, 0.2, 128\/477, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2)*(9 - 9). Suppose h = 11*k - k - 20660. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 1. Let v be ((-17)\/2)\/(b\/(-2)). Suppose 0 = v*o - 21*o + 6800. Round o to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2303 = 8*u - 3663. Calculate the lowest common multiple of u and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, l: 6}. Give prob of picking 3 l and 1 g.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8717452?\nAnswer: 2, 241, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:19 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -201283710110?\nAnswer: 201283709989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2. Let v(s) = -5*s**2. Let q(r) = 11*p(r) - 2*v(r). Let y(k) = 43 - 5*k**2 - 23 - 20. What is y(q(n))?\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/2*y**3 + 0 + 0*y**2 + 6*y. Let b(o) = -o. Determine b(s(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1311 + 1296 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-2\/3)*z)\/z)\/z*z)\/((z**(-1\/19)\/z)\/z)*z**(-10)\/z**(17\/4) assuming z is positive.\nAnswer: z**(-2705\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from pxxxppxpxx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1321330300 (base 4) to base 9\nAnswer: -841164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 4*x - 8*x + (0*x - 5*x + 6*x)*(-1 + 2 + 0).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3647729 to three decimal places.\nAnswer: 0.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 361. What is the greatest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, 0 = 5*u - 2*u - 5*x - 96. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -44, -64, -100, -158, -244?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = -4*q + 20, 20 = 4*q + 2*g. Let c = -9 + 7. Let p = c + q. Solve 4*k = -k - p*a + 5, -5*k - 30 = -4*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1286860756 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -67871588, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287966*v**4 + 99870.\nAnswer: 1151864*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6)*(-27 - -30). Solve 6*r - 3*r + 8 = -m*l, -3*r + l = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320)*-1)**2.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 3. Determine h(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 28*p**2 + 0*p**3 - 28*p**2 - 2*p**3 as w + o*p + m*p**3 + t*p**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/2 - j**3 + 6*j**2. Let m be x(4). What is the highest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -11. Let j be 34\/4 - ((-28)\/(-8) - 2). Let d(l) = l**3 - 7*l**2 - 2*l + 17. Let c be d(j). Solve 3*u = -c*p + u - b, -4 = -5*p + u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407 + 1453 + 1395 + 1897 - 1507)*(0*r**3 + r**4 + 0*r**3).\nAnswer: 3645*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m\/(m*m\/(m\/m**3))*m**(1\/4)*m*(m*m**(1\/6)*m)\/m*m)\/((m\/m**(-2\/7))**(-46))**(5\/9) assuming m is positive.\nAnswer: m**(2783\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(5\/((-20)\/36)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/104*(0 - 0). Is 5\/14 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/(32\/16))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5108982+997927\nAnswer: 6106909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -254*k*v**2 - 8*k*v - 163*k - v - 87 wrt v.\nAnswer: -508*k*v - 8*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 13 = 113 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 56*j - 31. Let z = -35 + 44. Is q(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 12*d**2 - 8*d - 52. Calculate the remainder when 3638 is divided by z(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 84.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -386205.872 rounded to the nearest one hundred?\nAnswer: -386200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 28*y**5\/5 - 8*y**4\/3 + 85*y**2. Let x(q) = -16*q**2 + 3*q. Give 3*f(t) + 64*x(t).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 0.15 (c) 7\/172 (d) -26 (e) 7 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**3 + 34*t**3 - 54*t**3 + 4*t**2. Suppose 1 = -s - 4*m - m, -3*s = 5*m - 7. Let x(b) = 6*b**3 - 9*b**2. Determine s*x(j) + 9*k(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r**2 + 5*r - 33. Let o be t(4). Let k = -3551\/11 + o. Which is the second smallest value? (a) -1\/29 (b) 0.03 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020123311 (base 4) to base 6\nAnswer: 10205325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = -4*t + 6*t. What is the remainder when t is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 - 2*q + 5. Let d(y) = -y**2 + 7*y - 10. Let h be d(5). Let v be r(h). Suppose -v*p - 5*p + 80 = 0. Solve 4*z + p - 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*l**3 + l**3 + 0*l**3) + (0*l**2 + l**2 - 2*l**2)*(-5*l - 3 + 3).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 12*z + 2098. Calculate q(29).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11685 divided by 123.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -515*f + 1033. Let u be k(2). Solve 3*d - 2*z + 23 = u*z, -18 = 2*d - 4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305 and 5809579?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82 + 103*n + 16*n**4 - 105*n - 21 + 7*n**4 wrt n?\nAnswer: 92*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*j - 268*j + 498*j + 608*j.\nAnswer: 1178*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -11322?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l + 4. Let o be f(3). Let q(j) = o + j + 3 - j**3 - 3. Let i(m) = m**3 - 4*m - 5. Suppose 4*c + 2 = -2. Give c*i(g) - 3*q(g).\nAnswer: 2*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 1*sqrt(539)*-1 + sqrt(539) + -5)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 - 254. Let l(k) = -7*k**3 - 3*k**2 + 3*k + 3. Let a(g) = -10*g**3 - 5*g**2 + 5*g + 5. Let z(y) = 5*a(y) - 7*l(y). What is z(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/(j*j\/(j\/(j**3\/j))))\/(j**(-6\/5)*j*j\/(j**9*j)) assuming j is positive.\nAnswer: j**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1862, 3705, 5548?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 76772731?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 131 = 29. Suppose -2*p - 7 - 5 = 0. Let r = l + p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4)\/m)**24)**(-6\/13) assuming m is positive.\nAnswer: m**(576\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + 0 - (-2)\/(-10). What is the nearest to -0.1 in z, -4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -26. Solve 2*a - 4*a = -x - 2, -g = -2*a - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10524298?\nAnswer: 2, 5262149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21827366 and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d**2 + 0*d + 0 - 1\/6*d**3.\nAnswer: -d**2*(d - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.29 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*m + 18, 2*m = 5*r - 2*m - 21. Calculate the greatest common divisor of r and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1541*h + 21573. Give l(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21150.61998 + 21151. What is a rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/28 and (-3)\/(-18)*-2*-24 + (-2337639)\/290178.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74732772 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4775 + 8906. Suppose -4*j + g = 1367. Let t = 364 + j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-13 - -14) + -9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 85, -1, -4 in ascending order.\nAnswer: -4, -1, 9, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 - 918*w**2 - 31055*w - 132450 = 0 for w.\nAnswer: -883, -30, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*u - 424 + 22, -2*u + 252 = -2*w. Let y be w\/6*(-1 - 2) + 3. Suppose 0 = 7*v + 12 - y. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 3*i. Let s(v) be the first derivative of -v**3\/3 + v + 2. Let o(f) = -3*s(f) + x(f). What is the units digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1930*b + 11631. Determine g(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2227*w + 97998. Calculate a(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:08 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-4902)*(-475)\/(-900).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 0. Let x(i) = -3*i**2 - 23*i + 25. Let f be x(1). Sort m, f, 0.2, -2 in decreasing order.\nAnswer: 0.2, f, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85) - 1*sqrt(85)*4)\/(sqrt(45)*1))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 7*o - 8. Suppose -2*z = 4*c - 48, 3*z + 10 = o*c - 48. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2 + 1364*b**3 - 137 - 686*b**3 - 682*b**3 wrt b?\nAnswer: -12*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3 + 295995*c**2 - 3256550*c = 0.\nAnswer: -59210, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.09 + -0.09. Let x(p) = p**3 + 7*p**2 + 2*p - 32. Let i be x(-4). Suppose -k - 25 = i*a - 3*a, 5 = -a. Sort l, -3, k in descending order.\nAnswer: l, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from ororcrffoof?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.007 - -2.993. Put -2\/9, h, -5 in decreasing order.\nAnswer: h, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*x**3 + 63504\/5*x + 756\/5*x**2 + 1778112\/5 = 0. What is x?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158394 is divided by 8215?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*o + 486 = -o, 2*o = -t + 483. What are the prime factors of t?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 - 18*v + 12. Let k be b(5). Calculate the common denominator of 282\/(-56)*(-7)\/21 and (2\/(12\/(-13)))\/((-63)\/k).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(6\/5))\/s)\/s*s*s*((s**(-3)\/s)\/s*s)\/s*s)\/(s**(-1\/4)\/(s\/(s\/(s\/s**(3\/4))))) assuming s is positive.\nAnswer: s**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -132430344 (base 6) to base 2\nAnswer: -1010000110011100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -7 - 0) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 - 3*r**2 + 3*r - 2. Let v(k) = 3*k**3 - 2*k**2 + 2*k - 1. Determine 2*d(q) - 3*v(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -40501.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 420*k - 424 = 0. What is k?\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 346520 and 12?\nAnswer: 1039560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.3 + 5. Let f = j - 0. Let d = f - 0. Put d, 2\/7, -2 in increasing order.\nAnswer: -2, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 92, 4, 1897 in increasing order.\nAnswer: -6, 4, 92, 1897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10690*w**3 + 4*w**2 + 155057*w - 4*w**2 - 155057*w.\nAnswer: -10690*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40660438811341 and 0.5.\nAnswer: 40660438811341.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-225)\/81 + (-4)\/18. Let y be 12\/(-63)*n\/(-2). Let g = -0.3 + 0.1. Which is the third smallest value? (a) y (b) -5\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*x - 4*m, 4 - 2 = -2*m. Suppose 252 = -l - 2*l. Let g = l + 140. Calculate the greatest common factor of g and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123622\/9 - -13736. What is the closest to l in 4, -0.511, 3\/4, -0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-2\/5)*f*f*f\/(f**(-3\/2)\/f)*f*f*f**6*f*f assuming f is positive.\nAnswer: f**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let g(q) = 2*q - q + n*q - 6 - q. Suppose t + 2*o - 10 = 0, 36 = 2*t + 3*t + 3*o. Calculate g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 2457.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3*k**2\/2 + 1. Let o(c) = 7*c**2 - 5*c + 5. Let x(b) = 22*b**2 - 16*b + 16. Let a(l) = 16*o(l) - 5*x(l). Calculate a(w(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44361305?\nAnswer: 5, 8872261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 3*k + h, k - 4*h = 4. Let j(i) = -4*i - 279. Let p(f) = 2*f + 140. Let r(a) = -3*j(a) - 5*p(a). List the prime factors of r(k).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p**2 - 11. Let h(d) = 6*d**2 - 4. Suppose -n = -2 + 6. Let c(j) = n*r(j) + 11*h(j). Let x(m) = 4*m. Determine c(x(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1326, -2366, -3406?\n\"Answer: -1040*w - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.045822453.\nAnswer: -0.229112265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 + (-3 - -2)). Suppose m + 0*m = c. Suppose 4*a = -m*a + 32. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.177 + -0.123. Let a = -6 - -17\/3. Let t be (42\/84)\/(5\/6). What is the second smallest value in d, a, t, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11474*h + 1. Let t(b) = 251*b + 1. Give t(k(i)).\nAnswer: -2879974*i + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 2*s + 220. What is r(12)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 79*k + 413. What is the remainder when b(1) is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 56 = 24. Calculate the least common multiple of h and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 4*t**3\/3 + 4*t**2 + 4*t - 11. Factor c(d).\nAnswer: 4*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/36 + (-3)\/(-9). Solve -5*p = 4*f - o - 8, -2*p = 5*f + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*p + 101 - 77, 0 = 2*p + 5*y - 16 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 8*c - 2*c**2 + 251 + 12*c - 232 + 4*c - 31.\nAnswer: -2*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(-12*u + 11 - 11).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-7) - 12\/(-42). Let j = 14 + u. Suppose -x + 48 = p, 98 = 2*x - 2*p + 3*p. What is the remainder when x is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2508.666655 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 + 0 = 0. Solve -z - a = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 8*v - 5*h + 30, 0 = -3*v + 4*h + 30. Let x = 41 - 27. What is the highest common divisor of v and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 90\/(-2020)*8\/(-6). Let o = q + 125\/404. Which is the closest to 0.3? (a) o (b) -3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 404 - 193. Suppose 2*g - 2*l = -474, 0 = g + 4*l + i + 26. What is the tens digit of (g\/(-12))\/(1*2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17*v - 1. Suppose 8*k - 54 = 2*k. What is the remainder when l(k) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105764024 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x. Let l(h) = 330*h. Calculate 2*l(r) - 180*p(r).\nAnswer: -960*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 15*l**2 + 14*l - 19. What is the remainder when k(-16) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730 divided by -5\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 1\/5 - (30 - (-206118)\/(-90)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 + -6274)\/8*(-1)\/2. Is 787\/2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -3552?\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14*16\/18 and (-93)\/((4\/(504\/(-162)))\/((-4)\/14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -354, -545, -716, -861, -974, -1049?\n\"Answer: v**3 + v**2 - 215*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30298 - -30308. Solve -421*t - 2*c = -425*t - 2, -2*c = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7454\/10 - ((-57)\/(-5) - 11). Let t = s - 3. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v**2 + 2. Let d(j) = -4*j + 82. Calculate d(c(m)).\nAnswer: -100*m**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose -g + 3*g = k. Solve 6*h - h = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64)\/(-6))\/(18\/27). Suppose -3*p + 2*p - m = 4*d, -d = 2*p + 4. Solve 2*t - 1 + 3 = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pqpqpqpqpqqqpqqqqqq?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7386, 0.3, 119 in increasing order.\nAnswer: -7386, 0.3, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37124*t + 2961*t + 11078*t.\nAnswer: 51163*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6022302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 38465. Let h(j) = -j**2. Calculate u(h(q)).\nAnswer: 2*q**2 + 38465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3571318883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 (base 6) in base 9?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.8 + 3.2. Let s = 72.05 + -1.05. Let u = 72 - s. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/70*5264\/8)\/7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 852 = -76. Suppose 5*z + 20 = 0, 6*z - 2*z - 100 = -4*m. Calculate the highest common divisor of m and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/3 - 6204*u = 0?\nAnswer: 0, 18612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:01 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-389*s**3 + 213*s**3 + 248*s**3)*(2*s - 3*s + 0*s).\nAnswer: -216*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let i be (568\/(-1988))\/(18\/14). What is the closest to h in 1, 1\/34, i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32809\/6 + 5480. What is the common denominator of -11\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*d + 10 = -5*d, 0 = -4*y + 2*d - 2. Let v(a) = -23*a**3 - a**2 - 2*a - 1. Is v(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.51 greater than -3737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11339027 and 1.2.\nAnswer: 13606832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37384 and 2.\nAnswer: 37384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20226 and -0.04.\nAnswer: 809.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123188 and 13156?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -118, 27 in ascending order.\nAnswer: -118, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113 + 76442?\nAnswer: 76555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -752 in -0.4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 687*a**2 + 1. Let v(w) = -463*w. Calculate v(c(x)).\nAnswer: -318081*x**2 - 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -81, -165, -281?\n\"Answer: -16*n**2 - 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -384\/7*n - 2\/7*n**3 - 52\/7*n**2 - 576\/7.\nAnswer: -2*(n + 2)*(n + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -2. Let g(p) = p**2 - 1 + m*p**3 - 2*p**2 + 3*p**2. Let b(o) = o - 7. Let s be b(6). Give g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11175539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q - 180 = 0. Suppose -4*r = 5*o + 87, -2*o + 4*r + 27 = -3*o. What are the prime factors of (q\/o)\/((-6)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1444 + 1.5444. Sort -1, 1, -0.2, -5, m.\nAnswer: -5, -1, m, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8411 - -10850. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 45, -604 in descending order.\nAnswer: 45, 0.3, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgvggvvvggggggg. What is prob of picking 3 g?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -566*z**2. Let q(a) = -3*a**2. Give o(q(n)).\nAnswer: -5094*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(931) + 4 - sqrt(931)) + ((sqrt(931) + 5 - sqrt(931)) + 5 - sqrt(931))**2.\nAnswer: -140*sqrt(19) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82189041413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.092, 0.4, 0.3, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/62, 2, -1\/9, -1, -1\/6?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275457979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbmbbbbbbbabcababb. What is prob of sequence bbm?\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-7)\/(-4))*269\/((-238872)\/(-222))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {m: 2, d: 1, p: 7, g: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41\/(-56) + (-12)\/960*10. Put 8, g, -0.3, 0.5, -1\/10 in descending order.\nAnswer: 8, 0.5, -1\/10, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/10 + 2\/5. Let z be (-8)\/14*(-1 + (-50)\/20). Is z\/(-14) + (-1044)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/346 and 26\/1557.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6226 and 9056.\nAnswer: 99616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 11*v - 9*v + 52, -46 = 2*v - b. Let t be (-86)\/(-1032) + (-70)\/v. Solve 0 = -t*z + 2*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (122\/2 - 3)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + (-41 - -88) + -4 + -41?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w - 2*w)*(4*w - w - w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6455 (base 7) to base 8.\nAnswer: -4366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3, 141.67, -3\/5, 2\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*k + 222*k - 69*k + 2402 - 73*k in the form r*k + g and give g.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/89280 and 133\/4320?\nAnswer: 267840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/276*23*-6. What is the greatest common divisor of c and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 19*t**3 + 2*t**2 - 6*t + 6. Let j(a) = -19*a**3 - 2*a**2 + 7*a - 7. Let p(v) = 6*j(v) + 7*q(v). Find the third derivative of p(g) wrt g.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-1 - (1 + -1)). What is the closest to g in 3, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {m: 4, r: 1, v: 2, b: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 940814*g**6 - 24*g**4 + 14037*g**2 - 4*g - 1 wrt g.\nAnswer: 112897680*g**3 - 576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**9\/332640 - d**8\/6930 - 8*d**7\/3465 + 4*d**5 + 154*d**2. Let v(u) be the third derivative of o(u). Factor v(p).\nAnswer: -2*p*(p + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l - 29. Let m be d(-12). Let f = 97 + m. Solve -f = 5*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4)\/((-8)\/(-14))) + (-22)\/7.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -4, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3)*(-4)\/(-4). Let p(r) = -10*r**3 - 6*r**2 - r + 8. Let o(s) = 8*s**3 + 4*s**2 + s - 6. Let v(k) = 4*o(k) + 3*p(k). Determine v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 42 = -34. Sort -1, k, -22 in increasing order.\nAnswer: -22, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -56, -58, -58, -56, -52?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 10. Let k be u(8). Suppose -2*i = a + 11, -12 - k = 4*a + i. Let t(p) = 4*p**2 + 11*p + 8. Is t(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**3 + 2*b**3 - 31*b**3.\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zpnpudzs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 85. Let m be j(-25). What is the remainder when 164 is divided by (-2)\/m*1 - (-164)\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2150, -3282, -4416, -5552, -6690, -7830, -8972?\n\"Answer: -v**2 - 1129*v - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) -2 (c) -0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16aa3c + -2e?\nAnswer: -16aa6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, n: 7}. Give prob of picking 3 n.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 - 9*j + 3. What is the hundreds digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16211963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 29 + -28 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8*k + 10*k + 578004 = 0, 0 = 4*o - 5*k - 1156010. Round o to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7.7. Let a = p - 1.3. What is the smallest value in a, 1\/6, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7924, 2, -8, 4 in ascending order.\nAnswer: -7924, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, 0.2, 3, 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -21*x - 28. Let t be r(-2). What is the closest to t in -4, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2281501844 to the nearest integer?\nAnswer: 47765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/1564892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*1*5 - sqrt(1452)) + 1.\nAnswer: 1 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -30. What is the nearest to t in 2, -5, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-24)\/(-6336)*20?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -544*w + 241*w - 2424 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 50. Suppose -s - 3*n - 3 = -4*s, 3*s - n - w = 0. Let c = -3 + s. Solve 0 = p - 2*f - 5, -3*p - f + 2 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*b - 4*c - 12, -16 = 2*b - 3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 6. Let l be -6*(-2)\/((-6)\/(-3)). Suppose 12 = 8*k - l*k. What is b(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13425 + -13424. Is 317 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -859.353013 + 801.35306. Let t = d - -58. What is t rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 1 = 4*i + 16*r, 5*i - 3*r + 29 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5024 - -59.502.\nAnswer: -4964.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -4*s**5\/15 - 2*s**3\/3 - 14*s**2. Find the first derivative of o(c) wrt c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104002941 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2 - 2) + 37. Suppose -h = -10*k + 25. Solve -3*t = 3 - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341726 (base 8) in base 9?\nAnswer: 185602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(1 - 3 + 0) + 3 + 2 - 2 + 2 + 0 + 0)*(19*v + 1688 + 21*v - 42*v).\nAnswer: -18*v + 15192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.08 + -36.08. Let l = 30.927 + s. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 34 = -10. Suppose -i = -4*q + q - 4*u, -2*u + 18 = 5*q. Solve -q*k - k = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h + 23*h**3 - 39*h**3 - 2*h**2 - h**3 - 7*h**2 wrt h.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*w - 4563, -9*s - 9105 = -4*w - 14*s. What is the highest common factor of 60 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 - 7*n + 6. What is d(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 + 2*i - 222 - 13*i**2)*(i - 1 + 1 + (2*i + i - 4*i)*(-1 + 1 - 1) + 2*i + 0*i - i).\nAnswer: -39*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 204*d**2 - 183*d - 4480. Calculate k(205).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(245) - sqrt(245)) - sqrt(245))*5 + ((sqrt(245) - -3*(0 + sqrt(245) + sqrt(245)))*-2)**2)*2.\nAnswer: -70*sqrt(5) + 95990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*o + 0 - 402*o + 1856*o**2 + 0 in the form i*o**2 + r + z*o and give i.\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-7)\/(-4)*(-144)\/126. Are m and 0.007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 909*j - 924*j + 42135. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 585*i**3\/2 - 1034*i**2 + 558*i + 3. Differentiate z(q) with respect to q.\nAnswer: 1755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -196?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -118, 6, 180, 404, 678, 1002?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 1. Let k be p(5). Let s = 17 + -13. Solve -s*q = -k*q + 5*h + 35, -3*q + 4*h + 25 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 165, 367, 649, 1011, 1453, 1975?\nAnswer: 2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.8. Let d be (3\/(-2) - 25\/(-250)*45) + 2. Put 1\/9, -5, k, d in increasing order.\nAnswer: -5, 1\/9, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(1\/7)*r**3\/r**(3\/5))\/(r**(2\/21)\/r**(-5\/3)*r**(-5\/4)\/r**(5\/3)) assuming r is positive.\nAnswer: r**(1553\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -43) + 0 + -1. Let a(t) = -3*t + 4. Let c be a(5). Let m = 25 + c. Calculate the greatest common divisor of m and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 = 4*p, 8*p - 15 = f + 4*p. Let g be 24005546\/f - 4\/14. Let u = g - -129364. Round u to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*z + 78 = 0, 0 = d + z + 4 - 24. Suppose 2*a = d + 30. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273 - 129. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -2. Let y(f) = 6*f**2 + f - f - 10 + f**3 + 10*f - 2*f**3. What is the units digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608693 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595784 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.132 - 9.549. Let z = j - -42.83. Let m = -14.75 + z. What is m rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*g + 57, -4*g - g = -5*j - 65. What are the prime factors of (-12)\/g - (-1 + -28)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 5*h**3 - 4*h**3 + (-h - 2*h**2 + h)*(8*h + 75*h + 65*h) as k*h**3 + t + v*h + a*h**2 and give k.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/3 - 2032*m**2\/3 + 395122*m\/3 = 0.\nAnswer: -1183, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n - 2. Let t(y) = 16*y**2 - 31*y + 186. What is the remainder when t(-2) is divided by a(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 + 715 + 1085 = 626*q - 1325 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.879 - 14.759. Which is smaller: 82 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.15 (b) -13\/3 (c) 1 (d) -282\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5797 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**3 - 10*j**2 + 34*j - 36. What is the remainder when n(2) is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17729125\/108 + 164157. Let j = m - -22\/27. Which is the fourth biggest value? (a) 2\/7 (b) -0.1 (c) 6\/7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 54 = -16*i - 13*i, i = 14*y - 8*y - y - 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -4. Let j = -3.9 - x. Which is the second biggest value? (a) 0.05 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268047275 by 5.\nAnswer: 53609455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 26. List the prime factors of n(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39134034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 64 = r. Suppose -19 = -9*l - 73. Let v be (-4)\/l + 2 + 4\/(-6). Calculate the greatest common factor of v and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddvmvmhgvgv. What is prob of sequence gd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-18)*a*a**(2\/15))\/(a**19*a\/a**20) assuming a is positive.\nAnswer: a**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 1114, 1112, 1110, 1108, 1106?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 8*t - 9. Let j(h) = h**3 - 2*h - 2. Determine -9*j(i) + 2*u(i).\nAnswer: -3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8 + 14. Let p = m + 3. What is the highest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 89*k + 416. Determine h(85).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2.03, 2.6, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*a + 619, 253 = 5*d + 4*a - 370. Calculate the remainder when d is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 1\/3 (c) -150 (d) -12606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 3643*o + 616396. What is b(162)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p. Suppose 2*r - 284 - 218 = p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 42\/14 - 3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 214438.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.19520593 rounded to 2 dps?\nAnswer: 198.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((-28)\/28)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-3 + -2 + 20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 2*m - 1\/15*m**3 + 1\/30*m**4 + 0 + 0*m**2. Factor q(b).\nAnswer: 2*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320106403?\nAnswer: 31, 10326013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 154. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 3*m**2 - 4*m + 5. Let n be (-57)\/12 + (27\/(-4))\/(-9). Give c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 574\/17 + 15973\/187. Let p = n - 119. Let w(h) = h**2 - 5*h + 5. Let r be w(4). Put -0.4, r, p in descending order.\nAnswer: r, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257351596?\nAnswer: 2, 131, 491129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 2 - -35) + (56 - 67)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4226538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 7152*f + 4262592.\nAnswer: 3*(f - 1192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + x. Suppose -31*k - 5 = -36*k. Let q be t(k). Let j be ((-10)\/q)\/((-10)\/(-15)). Solve 0 = -3*u + j*c + 25, 0 = -3*u - 3*c + 4*c + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7286 is divided by 1821.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-42))\/((-2)\/6). Let v = n + -2\/7. Suppose 2*y - 135*q - 20 = -139*q, 5*q = -y + 25. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*i*l + 122*d*i + 142*d*l - 1902*d + 3*i*l - 846*i + 3 wrt i.\nAnswer: -d*l + 122*d + 3*l - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -134*m - 364. Calculate the lowest common multiple of 170 and x(-5).\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 281*q**2 + 1136*q + 1140.\nAnswer: -(q - 285)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -185*j**2\/2 + 142*j + 76. Is s(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:38 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02987 rounded to two decimal places?\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 8}. What is prob of sequence rrkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 763\/305 + -116\/61. Which is the closest to -4? (a) 5 (b) 0.5 (c) f (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t. Suppose -47*b + 43*b = -20. Let d(q) be the third derivative of 0*q - 2*q**2 + 0 + 0*q**4 + 0*q**3 + 1\/12*q**b. Determine d(a(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12659 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14442425.00158 - 14442578. Let d = r + 153. Round d to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -272707.61 to the nearest one hundred.\nAnswer: -272700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 + 1130 - (5 - -3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74, -154, -234, -314, -394?\n\"Answer: -80*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51522 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -843 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 919 = 44. Suppose -j*f = -136*f + 14333. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1855*x**3 + 928*x**3 + 923*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(6\/(-24)). Suppose -r = z*r - 12. Suppose p - 3*a + 4*a = 19, p + 11 = 5*a. Solve 0*s + 5*s + p = r*f, -2 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066165 to four decimal places.\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 1 + 26*x**3 + 2*x**2 - 9*x**3 - 5*x + 43*x**3. Let z be y(1). Find the third derivative of 61*l + 2*l**2 + 9*l**4 - z*l wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:31 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 132.5. Put f, 1\/4, 3 in decreasing order.\nAnswer: 3, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l + 2*l + 16*l + (1 - 2 - 2)*(3 - 3 - 8*l))*(-2 + 4 - 3).\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**4 - 4*v**2 + 24*v - 4. Let w(x) = 4*x**4 + 3*x**2 - 23*x + 3. Let y(c) = -3*p(c) - 4*w(c). What is the second derivative of y(m) wrt m?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**5\/150 + 7*t**4\/60 - 2*t**2 - t + 83. Let w(d) be the second derivative of p(d). Factor w(y).\nAnswer: -2*y*(y - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4611*s = 4593*s + 90. Put -2, -4, -1, 120, s in decreasing order.\nAnswer: 120, s, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 31944?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321 - -586. Calculate the lowest common multiple of 8 and d.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 15*n**2 + 15*n + 21. Determine g(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 14*x + 99. Let k be y(-5). Let o be ((-2)\/6)\/(1\/(-3)). Sort -5, o, k in decreasing order.\nAnswer: k, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d. Let r = 21 + -15. What is k(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -49, 10, 92, 5, -5 in descending order.\nAnswer: 92, 10, 5, -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + sqrt(2000)*2 + sqrt(2000) + sqrt(2000) + sqrt(2000))\/(sqrt(90)*-3)*-1.\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Let z(k) be the first derivative of k**3\/3 - k**2\/2 + k - 27. Let a(w) = 3*w**2 + 4*w - 4. Let f(o) = a(o) + 4*z(o). Give f(i(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25868 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008884793 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-3 - sqrt(150)) + sqrt(600) + 2*sqrt(600) + sqrt(600))\/((sqrt(1134) - sqrt(1134)*-2)\/(sqrt(21)\/sqrt(27))).\nAnswer: 20*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -458963852 <= -458963852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.58 - 0.58. What is the nearest to z in -0.1, 72, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 6*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71.14341t?\nAnswer: 71143410000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026, -1027, -1028, -1029, -1030?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2689 + 2728 - 5417 + 10433*z)*(-3 + 3 + 5*z**2) to r*z**3 + j + i*z**2 + p*z and give r.\nAnswer: 52165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, 0, -5 in ascending order.\nAnswer: -25, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539 = 755*d - 11937 - 11497 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 2*u + 1. Let l be h(1). Suppose -j = -4*i + 103, l*i + 2*j - 26 - 18 = 0. Suppose 2*x - q - 19 = 0, 2*x + 3*x = -5*q + i. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 26*s + 154. Determine f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016957686 rounded to 6 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 17415 = -11*c + 99*c. Calculate the remainder when 580 is divided by c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 9*g**3 + 0*g**3)*(-259 - 76 - 7).\nAnswer: 2052*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 62*u + 8. Is w(41) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - a + 1, -2*u = 4*a - 14. Solve 0 = u*q + 85 - 4 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from osooooosss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/42 + 73*h**3\/21 + 225*h. Factor o(w).\nAnswer: -2*w*(w - 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let c(s) = 2*s + 12957. Calculate p(c(z)).\nAnswer: 8*z**2 + 103656*z + 335767698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouyeamu. What is prob of picking 1 o and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 131. Suppose 3*x - 4*a + w*a = -17, 4*a + 31 = -5*x. What is the nearest to 0 in 2, -2\/3, x, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42619980 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7815)\/(-20) + (-15)\/20. Suppose -4*o + 4*t = -1428, -o + q = -3*t + 39. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 7. Let r be o(5). Suppose -i - 25 = -5*n, r*n = 4*n - 4*i - 24. Solve -n*g + 4*y = -12, -2*g - 5*y - 8 = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175784*h + 4*f = -175788*h - 56, -5*h = 4*f + 55 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uol when three letters picked without replacement from {o: 1, l: 2, x: 1, m: 1, u: 1, q: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -238*y + 36417. Give f(153).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33a83c (base 15) to base 16\nAnswer: 259f47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 0, -8, -29 in decreasing order.\nAnswer: 0, -3, -8, -17, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 37. What is the units digit of 1*(-1)\/5 - 3760\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19631 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 4223772.\nAnswer: 4223767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690145.\nAnswer: 5, 738029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5303495 or -5303488?\nAnswer: -5303488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 96*q**3 + 373*q**2 + 462*q + 184 = 0. What is q?\nAnswer: -92, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from hhhxhhhhhxxhhhhhhx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16900 is divided by 401.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-51)\/6 + (8 - 7)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20*(0 - (1 + 0)). Let b = 525208 - 525208. Solve b = -4*m - h, -y - 19 = y + 5*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:56 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (26208\/(-972) + 24)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9)*(-2)\/((-8)\/(-12)). Let d(i) = 13738*i**3 + 3*i**2 + i - 3. Is d(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710672404138345 + c**2 - 1710672404138345.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*o + 15, -4*o = 48*w - 47*w + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:20 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 634 + -1089. Let x = a + 459.06. Let n = 4.1 - x. What is the closest to n in 5, -3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/840 - r**6\/24 - 67*r**5\/240 - r**4\/2 - 1800*r**2. Find i such that y(i) = 0.\nAnswer: -16, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let w(n) = -n - 5. Let j be 1\/(-2)*-2 - 0. Give j*w(b) + 6*g(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 119.2. Let q = -0.5 + 0. Which is the closest to -0.1? (a) q (b) n (c) 1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3098 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 983573.5 rounded to the nearest 10000?\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 47*m**3 + 10*m**2 - 10*m + 1. Let a = -223 + 224. What is the remainder when f(a) is divided by 8 + 1 + -2 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 1:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 36*k**3 + 5*k**3 - 14*k**3 - 12*k**3 + k + k to the form p*k + x*k**2 + t*k**3 + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1001011110110 (base 2) to base 14\nAnswer: -1aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96 or 89?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 4 - 8 - d**2 - 3*d**3 - d**3 - 13*d as s*d + r + f*d**2 + g*d**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273 + 274. Let w(i) = -i + 2. Let g be w(7). Sort -16, g, d, -1.\nAnswer: -16, g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61829 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 1. List the prime factors of (-77)\/(-22)*(49 - x).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 17888*k - 19998784.\nAnswer: -4*(k - 2236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92287215, 92287216, 92287217, 92287218?\n\"Answer: v + 92287214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -309*l - 6093. Calculate y(-20).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/741 or -1?\nAnswer: 1\/741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h**2 - 15*h + 26. Let j(v) = 51*v**2 - 44*v + 78. Let o(k) = -8*d(k) + 3*j(k). What is o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 + 12 = 0, 3*p - 2*v - 694 = 0. Is p a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 4 - 4 + 9 - 8 + 2 + 59*s.\nAnswer: -s**3 + 59*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 26 = 18*u. Find the second derivative of -2*y**2 - u*y + 43*y**2 - 17*y**2 + 127*y + 65*y**2 wrt y.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00716 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.45 and 3038.768.\nAnswer: 3038.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30a212 (base 15) to base 6.\nAnswer: 121321142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 7. Let p be a(-5). Suppose 0 + 12 = p*b. Sort -3, b, -2 in increasing order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2196\/7 > -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111377.34ms to hours.\nAnswer: 0.03093815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6562, 6572, 6592, 6622?\nAnswer: 6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 20 = -5*z. Suppose z = 2*k + 11, -3 = -2*l + 5*k. Let q(a) = a - 7. Determine q(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17033246 by 74.\nAnswer: -230179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(68) - sqrt(68)) - (0 + (-1 + sqrt(68))**2).\nAnswer: -28*sqrt(17) - 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 - (-6 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 8271\nAnswer: -8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4972, 4880, 4788, 4696, 4604, 4512?\n\"Answer: -92*d + 5064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-104)*(-32)\/6*142\/284. Which is the fifth smallest value? (a) 5 (b) 2 (c) 4 (d) r (e) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**4 - z**3 - z. Let a(p) = -198*p**4 + 2*p**3 + 2*p + 66. Let b(j) = -a(j) - 2*q(j). Differentiate b(s) wrt s.\nAnswer: 784*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37471237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*g + 44. Find the third derivative of q**2 - 35*q**5 + g*q**5 + 20*q**2 wrt q.\nAnswer: -1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 23. Let c(j) = j. Let z(g) = -3*c(g) + x(g). Let p be z(10). Let h(q) = q + 12. Let v be h(p). Solve b = 0, -v*n - 3*b + 10 = -2*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*116*1320\/(-880)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -38, -94, -170, -272?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o - 21*o - 198 - 15*o - 52*o - 23 as g*o + t and give g.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from mmfmfmfmmfmfm.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 - 23153343310563?\nAnswer: -23153343310563.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**49\/r)\/r)**(-49))**(-27\/2))**(1\/11) assuming r is positive.\nAnswer: r**(62181\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = 2. Suppose -s = 3*s - 3*l - 92, -5*l = 20. Solve -z - s = u*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 14. Suppose b*o - h - 10 = -0*h, 5*h = -o + 28. Calculate the lowest common multiple of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 11. Let p = -3 + g. Let q(i) = i**2 - 2*i - 5. Give q(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -11*g - 120. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3293 or 3292?\nAnswer: 3293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvy when four letters picked without replacement from {y: 1, v: 10, u: 9}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((-3920)\/(-5096) - 35548\/1326).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 1593*a**3.\nAnswer: -1593*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(156) - (sqrt(156) + sqrt(156) + sqrt(156)*1 + sqrt(156)) - sqrt(156)))\/sqrt(432).\nAnswer: 5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-26)\/6)*(-8)\/(-6). What is the smallest value in -1\/3, -0.4, 19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 150785169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26406934 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9100247 or 9100248?\nAnswer: 9100247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -185, -14860 in decreasing order.\nAnswer: 1, -0.4, -185, -14860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 6. Determine w(10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*n**3 - 354*n**3 - 812*n**3 - 516*n**3 + 394*n**3.\nAnswer: -1590*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1482*t - 1485*t - 4*w + 27, 2*t - 18 = 2*w for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 211747583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 14*z**3 + 5*z**3 - 7*z**3 + 8*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 610 - 305. Suppose -21*y = -26*y + q. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w + 7. Let n(f) = -2*f. Calculate a(n(j)).\nAnswer: 18*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*p = -0*p + 5405 + 955 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(14\/(-8)*(-42)\/63)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15\/418 + -9195\/5852. Find the common denominator of d and 23\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3001921364.\nAnswer: 2, 13, 57729257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 255*l + 4008. Give q(-29).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 32 - 11 = 9*v. Solve -v*w - q = 3, 8 = -5*w - 6*q + 4*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 247, 577, 1033, 1609?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*s = -422*s - 243*s - 43068 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48788097?\nAnswer: 3, 16262699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 4*x - 19)*(14*x**2 + 2*x**2 + 3*x**3 + 6*x**2).\nAnswer: -12*x**4 - 88*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 2*z**2 + 6*z - 4. Let j be o(3). Suppose -10*p + 2*q = -13*p + 6, -j*p = -4*q - 32. Solve -6 = -2*v - 2*l, l - 12 = -p*v + 6*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*t + 57. Solve t*a - 4 = -3*g, -8 + 2 = -a - 2*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -76*j - 5. Let y(r) = -r**2. What is y(p(b))?\nAnswer: -5776*b**2 - 760*b - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 - 8*k + 5. Let d be p(6). Let b = d - -14. Suppose -b = -4*l + 1. What is the smallest common multiple of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 - 24*s + 2\/3*s**3 + 35\/3*s**2 - 1\/3*s**4 = 0. Calculate s.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6032955 kilometers to micrometers.\nAnswer: 603295500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104767236 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 10*c**2 + 26*c + 82. What is q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2314 - -6175. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c + 5667. Calculate d(135).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113147796 and 20.\nAnswer: 565738980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -4*w - 51. Let p = w - -52. Suppose p - 1 = c. Solve 0*g = 2*g + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l - 2. Let o(g) = 6*g + 2. Determine -4*o(d) - 5*r(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -91. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1181 = 52*u - 639 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25899 is divided by 781?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j**2 + 0 + (-j - 2 + 2)*(-j + 0*j - 2*j))*(-101*j + 10*j + 159*j).\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o + 8. Suppose 0 = -2*r - 3*z - 17, 3*r = -z - 2*z - 24. Let l be a(r). Let g = 0.368 + -0.678. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 12 - 5*l**2 + 0*l - 8*l + 2*l**2. Give y(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205997\/10938 - -1\/5469. Find the common denominator of (-1)\/(-2)*(-10)\/45*23 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 54 - 12*u + 53 - 94 + 0*u. Let y be t(-4). What is the highest common divisor of 366 and y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12282 - -208800\/17. Let w = 3 + -2.9. Is j greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 + 91*l - 171)*(l**2 + 0*l**2 - 3*l**2) in the form j*l + m + z*l**3 + d*l**2 and give z.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**4 + 11*s**3 - 5*s**2 + 5*s. Let q(w) = -3*w**4 - 7*w**3 + 3*w**2 - 3*w. Let v(n) = 5*i(n) + 8*q(n). Solve v(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -237 + (3 - -1)*1. Let w = 80 - b. What are the prime factors of w?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.072939976 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191015.\nAnswer: 3, 5, 7, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from jjvuyju.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*m + 9 + 2 = 0, -5*d + 22 = 4*m. Which is the closest to -0.07? (a) 5 (b) 1\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (4 - (5 - 1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 701.7499 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8))**(-32))**(3\/7) assuming o is positive.\nAnswer: o**(768\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5802\/14 - (-15)\/(-35) - -2. Suppose 17*v - j = 4*v. What is the first derivative of 8*u + 9 + 13 + v - 15 wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k + 10. Let r(t) = 10*t + 4. Let d(n) = -3*c(n) + 7*r(n). Give d(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 - 9*w + 14. Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 22564*f + 3498572.\nAnswer: -(f - 154)*(f + 22718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k + 104. Suppose -2*f = 2*r + f + k, 4*r = 2*f - 52. Let a = -9 - r. Calculate the remainder when 6 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 - 51*f**2 + 30*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -687695, -1375394, -2063093?\n\"Answer: -687699*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -9*h - 98. What is the remainder when 2911 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307222624?\nAnswer: 2, 40850707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2 - 5722*k**3 - 170 - 2 + 4891849*k - 4891844*k - 63 wrt k?\nAnswer: -34332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.133\nAnswer: -0.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 9*i**2 + 80622*i + 80640*i + 7 - 161262*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 981.2612 tonnes?\nAnswer: 981261200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 - 6*g + 6. Let h be i(4). Let u = -8.7 - 28.3. Let p = u - -37.3. What is the third smallest value in p, 0, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:19 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/6880 and -97\/1978.\nAnswer: 158240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-434)\/21 - (-4)\/6. Let l = 45 + u. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 1, -3, -1.\nAnswer: -13, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**9\/22680 + i**8\/2520 - i**7\/315 - 79*i**4\/24 - i**3\/3 + 80*i**2. Let v(a) be the second derivative of u(a). Factor v(q).\nAnswer: 2*q**2*(q - 2)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 1.7, 1102\/33 in decreasing order.\nAnswer: 158, 1102\/33, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -528, 8, -74, -6 in descending order.\nAnswer: 8, 0, -6, -74, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 2177*g**2\/2 + 2179*g.\nAnswer: -g*(g - 2179)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 11*p - 30. Give h(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.706, -2 in decreasing order.\nAnswer: 0.4, -0.706, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 0*w**4 + 5*w**4)*(-4 + 0 + 5).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*n - 4, -4*n = -w - n - 3. Solve -w*m + 8 + 7 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5))**(-1) assuming f is positive.\nAnswer: f**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 267*v. Let o(p) = -8*p. Calculate m(o(j)).\nAnswer: -2136*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 + t - 1. Let p = 77 + -79. Determine m(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1554*t + 2637. Calculate z(-2).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 38105579.\nAnswer: 38105590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2600*d - 33128 = -1928 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 13*z**2 - 11*z - 9. Let r be a(5). What is the greatest common divisor of 238 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 0, 1, -732?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b + 12. Determine w(11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 334049581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1193203752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -2*h, 0 = -4*l + 12 + 8. Let j be 3 + (h + 0)*(7 - 64). Let g = j + 66. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 - 5*r**4\/12 - 4*r**3\/3 - 2*r**2 + 15*r. Determine f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w. Let d(y) = -14*y. Let b(k) = -2*d(k) - 5*x(k). What is b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-48 - (48 + -20))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86862 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 640270.9 days?\nAnswer: 55319405760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20331 - -16134?\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.025293 and 0.3.\nAnswer: 0.274707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116763 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-2)\/30*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:48 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 39. Give f(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 - 25 - k + 1 to the form u + x*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 10520 = -28*u. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.07487 - 0.07487. Let k = 4 + -6. What is the nearest to k in z, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82460850, 164921703, 247382556?\nAnswer: 329843409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71362697 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-52)\/20 + 1). Let v(g) = g**3 + 7*g**2 - 6*g + 18. Let k be v(n). Solve 7*d = k*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrllqrrrrrrqrl. Give prob of sequence lql.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2. Let l be x(0). Let f = 548 - 530. Suppose 14 + 15 = 3*d - 4*y, -3*y = -d + f. Solve 2 = n + 2*n + b, d*b = -5*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*25\/(-10))\/(4535\/91607)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -0.195 in increasing order.\nAnswer: -4, -0.195, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 20 = 16*h. Suppose 0 = h*j + 3*r - 61, r + 0*r = -j + 14. Let t = j + -9. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 + 1380*c**2 + 2740*c = 0?\nAnswer: -274, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(3\/4)*t\/(t\/(t*t*t**(-2\/9)*t))*(t**2)**29*((t\/(t*t**(-1\/7)*t))**(-47))**(-2\/11) assuming t is positive.\nAnswer: t**(151637\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539424 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 40. Let s be g(-12). Let o(k) = 3*k + 8. Let n be o(s). Put 2, n, 0, 3 in decreasing order.\nAnswer: 3, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a - 7. Let o(i) = 6*i - 3. Let t(s) = -2*f(s) + 5*o(s). Let c(q) = 200*q - 70*q - 67*q - 68*q. Give t(c(x)).\nAnswer: -20*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 5*l + 245, 3*l + 102 = 2*d. Let y = 60 + -92. Let a = y + d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -12, -9761, -4 in ascending order.\nAnswer: -9761, -12, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 20. What is the units digit of j(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - q**3 - 1 + (-2 - q + 2)*(-1 - 2*q + 0*q + 3)*(-4*q + 3*q + 0*q) to x + k*q**3 + v*q**2 + n*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 44*y**2 + 5*y - 260. Let f be r(44). Let c(s) = -1. Let d(x) = -3*x**3 + 8. Determine f*c(k) - 5*d(k).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1163*z**2 + 2077*z + 5. Let o(w) = 3*w**2 + 2*w - 1. Let i(c) = -j(c) - 5*o(c). Find the second derivative of i(q) wrt q.\nAnswer: -2356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqo. Give prob of sequence qo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 23302130033?\nAnswer: 23302130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**4*f**2 + 78*b**4 + b**3 + 83*b + 11*f**2 wrt b?\nAnswer: -60*b**2*f**2 + 936*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699688.681 rounded to the nearest 1000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.8000095 - -19.8. What is l rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21483, -85728, -192803, -342708, -535443, -771008?\n\"Answer: -21415*n**2 - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -76 (c) 2\/15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 146 - 15 = 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 13513062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-708 + 53*f + 708)*(-35*f**4 - 13*f**4 + 32*f**4).\nAnswer: -848*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 + 5020243?\nAnswer: 5020522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -513, -373, -141, 183?\n\"Answer: 46*l**2 + 2*l - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 53 (b) -0.04 (c) 0 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.3, 6, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0400475 - -0.3.\nAnswer: 0.3400475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)\/r)\/r**(-3\/2)*(r*r**(-5)*r)\/(r**(3\/5)\/r)*(r*r**3*r*r**1)**12 assuming r is positive.\nAnswer: r**(9067\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/6 - t**3\/6 + 7*t**2\/2 + 7*t. Let a(j) be the first derivative of u(j). Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 332589136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1004.\nAnswer: -301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-7) - 0) + -73 + (-5644)\/(-68).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -26. Solve t + z*l = 4*l - 18, 5*l = -t + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29115 divided by -3235\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -20*k - 35, 3*k + 31 = 4339*r - 4344*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/79 and 186\/40 - (105\/(-28))\/5.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340*p**2*t**2 + 2*p*t**2 - 129*p - t**2 wrt p.\nAnswer: -680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -12*m + 13*m + 12*m**4 - m**2 - 11*m**4 - m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -1\/3, 5, 3, -0.4 in decreasing order.\nAnswer: 5, 3, -2\/35, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -3249?\nAnswer: -1299.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -555933 + 555935. Suppose 65\/3*v - 34\/3*v**l - 6 + v**3 = 0. Calculate v.\nAnswer: 1\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654*j + 646*j + 16 = 0. Suppose -3*n = -2*f - 2*n + 13, -j*f + 25 = 3*n. Which is the smallest value? (a) -2\/9 (b) f (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -9. Suppose 3*u - 31 = 29. What is the highest common divisor of y and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.4, -0.03, 17, -1\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s - 49. Let d be y(-19). Suppose -5*p + d + 7 = 2*w, -5*p - 1 = -3*w. Solve -2*x + w*x - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:38 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 39*k - k - 1564. Solve 7*x + k*x = -205 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 44 + 3*w + 7 - 8*w - 16. Let q be b(6). Solve 0 = -5*i - 5*x + 15, q*x = i + 4*x + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - b - 1. Let o be u(4). Let l be ((-12)\/o)\/((-30)\/(-9)). Let q be 6\/8 + (-1 - -1). What is the second smallest value in q, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:28 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxz when four letters picked without replacement from xeeeeexezxxxxeexez?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n**3 - 2*n**2 - 5. Let w(j) = -43*j**3 + 4*j**2 + 13. What is -5*b(c) - 2*w(c)?\nAnswer: -19*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/48 in -5, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 8}. What is prob of sequence iil?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1444 (base 13) to base 4\nAnswer: -231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Suppose 227*q - 4 = 223*q. Let n(f) = 2*f**2 + 5*f. Calculate q*n(u) - y(u).\nAnswer: u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17672*b - 17663*b + 35374*b.\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*4*6 + (-1 + sqrt(5) - sqrt(5))*3.\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -157. Calculate the remainder when (48 + (-4 - -5)*0)*f is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3 - (-154)\/(-21)) + (-75)\/(-6).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1587295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -261*r**2\/2 - 69*r + 138. Find the first derivative of g(w) wrt w.\nAnswer: -261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c. Suppose 0 = 4*b - 0*b - 56. Let g(a) = 7*a + 0 - b - 8*a. Determine g(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.1. Let d(a) = -2*a - 2. Let r be d(-2). Let f be r + 0 + (-15)\/9. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -8) + -25 - -28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + 4. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -64. Let z = -14 - c. Solve -4*o - o + 20 = 2*r, 0 = -4*r - 2*o + z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**2. Let o(w) = 8*w - w - 2*w - 6*w. Determine j(o(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, -11.4, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from vxqccccccqxccccxccqx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -a1327b?\nAnswer: a1327b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57440, -57425, -57408, -57389, -57368, -57345?\nAnswer: -57320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 757.1195ug?\nAnswer: 757119.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*-2*-1 + 5 + -2 + sqrt(72))*1 + -2 + 2)*-3)**2.\nAnswer: 972*sqrt(2) + 5913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8) + -2 - -9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 3*n**2 + 5. Suppose -g + 3 - 6 = -l, -4*l = -g - 6. Let k = 2 + l. Let d(m) = -m**3 - m**2 - 1. Let s = -3 - -4. Give k*d(q) + s*b(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88306505?\nAnswer: 5, 7, 2523043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 divided by -628?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13124, -10483, -7842, -5201?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m - 45. Let k be h(-7). Calculate the greatest common factor of k and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72431990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 189619469*z - 189645201*z as y*z + h and give y.\nAnswer: -25732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 1, h: 4, t: 1, k: 5}. What is prob of picking 2 k?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6216563793.\nAnswer: 3, 11, 43, 1873, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 3*n + 94. Let v be o(-14). Calculate the common denominator of 8\/135 and 13\/65 + (-19)\/v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.16 + -14.12. What is the second biggest value in 1\/4, g, 3, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 - 7*j**3 + 20*j**2 + 108*j**2 - 4*j**3 + 136*j**2 + 234 - 1116*j + 630 = 0.\nAnswer: -24, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 357*c**2 + 395*c + 211. Find the first derivative of g(m) wrt m.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let x(o) = o + 5*o + 2*o. Determine x(s(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -356 - -323 - (-5 - 47)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -48, -148, -350, -690?\n\"Answer: -6*h**3 + 3*h**2 - h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 3643*d**2 + 3643*d**2 + 2 + 4*d**3 to the form t*d**2 + g*d**3 + v + r*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -937 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-169)\/(-26))\/((-3)\/12). Let i = y + 132. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37524 and 14.\nAnswer: 262668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, v: 8, z: 4}. What is prob of sequence dv?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 136, 286, 492, 754?\n\"Answer: 28*r**2 + 10*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**5 + 23*k**2 + k + 147 wrt k?\nAnswer: -140*k**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:43 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 1338 = 142. Suppose -2*y + 5*y - 5*t = c, -4*t - 30 = -2*y. Let n(o) = -o**3 + 18*o**2 - 18*o + 14. What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -3, 1, -2, -6.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*y**2 + 12 + 12*y - 13 - 11*y)*(13*y**3 + 0*y**3 - 5*y**3).\nAnswer: 368*y**5 + 8*y**4 - 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-65) - (-282)\/(-10). Let q = -142\/5 - d. Let s = 0 - 1. Which is greater: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92090 and 1820?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1132747*z + 54 + 256 + 1132723*z. Calculate y(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 932.1 - 932. Which is the closest to h? (a) 3 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 = 2*r. Let t = r - -52. Let q = 62 - t. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 78 = 4*o - 3*r, -103 = 5*o + r. Let m(g) = g**2 + 21*g + 2. Let l be m(o). Suppose l*t - 501 = -t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*l + 5950 = 0, 4*l - 17 = 3. Calculate the greatest common factor of 54 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28170 = 9*k - 62730. Round k to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-13)\/(-39))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758 (base 9) in base 6?\nAnswer: -10125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.35 (b) 19 (c) -27 (d) -3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 3125665.62 minutes in weeks?\nAnswer: 310.085875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/10)\/(25\/(-400)))\/((-344)\/1290).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2926, -8531, -16814, -27769, -41390?\nAnswer: -57671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3948 - 46522 = -170*p - 520*p + 2660 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1613 * 0.3\nAnswer: -483.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 59*-33.1\nAnswer: -1952.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/35*(-16)\/8 + 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 12. Let l be k\/(-15) - (-69)\/15. Solve -l*r = -6 + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1 + ((-11124)\/(-2352) - (7\/(-28) + 0)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0531927066134 - 0.5?\nAnswer: -0.5531927066134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*f - 5. Let o be 2\/8 - f\/4. Let t = o + 5. Solve g - 4*y = 12, -t*y - 17 = 5*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*1*sqrt(420))\/sqrt(12))\/(-5*1*(sqrt(80) + 2*sqrt(80))) + 2.\nAnswer: -sqrt(7)\/60 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10525 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 464*d - 25 = 459*d, -3*g = 4*d + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8 - (-98)\/(-56). Let l(r) = 21*r + 167. Let h be l(-8). Is t at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21967, -87906, -197835, -351766, -549711, -791682, -1077691, -1407750?\nAnswer: -1781871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 38 = l - 4*q, 5*l - 4*q = -106. Let a = 0 + -3. List the prime factors of 63*a*2\/l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27116372 - 487907251\/18. Suppose 2*j = 4*j + 20834. Let i = c + j. Find the common denominator of 51\/20 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-122 - -40 - -82)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 46 - 17 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnne when four letters picked without replacement from eennennnnenennnenn?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96010706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 292903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -c + 4*h - 10, 3*c - 4*h + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56743 + -27026. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 11. Suppose -w = -c - 9. Find the second derivative of 19*d + w*d**5 + 19*d - 64*d wrt d.\nAnswer: 400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 285, -44.\nAnswer: -44, -5, 7, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i - 44. Let x(m) = 9*m + 30. Let k(d) = 5*s(d) + 8*x(d). What is k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*(-270)\/(-162)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 4*r + 10. Calculate the lowest common multiple of ((-120)\/630)\/(4\/(-42)) and u(-8).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356110 + 5330 = 72*u. What are the prime factors of u?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3 + w**2 + 4\/3*w**3 - 1\/2*w**4 - 4*w. Suppose v(s) = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let i(o) = 4*o**2. Let h(t) = i(t) + 3*j(t). Let s(y) = 29*y**2 - y + 25. Let a be s(-4). Let g(c) = -256*c + a*c - 198*c. What is h(g(d))?\nAnswer: 1521*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -230364, -1, -6, -0.2, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1994 times -5\nAnswer: -9970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.6 (c) -0.5 (d) -23 (e) 2\/11 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-15))\/(52\/(-130))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -84*r**3 - 3*r**2 - r - 14. List the prime factors of y(-3).\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-24)*12\/63. Put 3, i, 0 in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -33, 0.3, -6\/7, -11?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1103*c + 1261. Calculate n(0).\nAnswer: 1261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 3:23 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 214 + 9 = 0. Let f = w - -5. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 - 5*g - 3. Let a be h(4). Let s(u) = -u**3 - 8*u**2 - 9*u - 4. Let n be s(a). What is the units digit of (4\/10)\/(2\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3662.283 - 3665. Round j to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1499046624 to the nearest integer?\nAnswer: 38718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -14382 less than -1699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - -5. Let h = 130.5 - r. Which is greater: -1\/5 or h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.52 - -0.5108. What is b rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:38 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38671220509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108 - 112) + -9 + 1 + (-44 - -128).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -4*u + 5*a, -2*a - 107 = -4*u - 77 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 3}. What is prob of sequence aaad?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/17176844 and 95\/29788?\nAnswer: 188945284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 110373834*i + 220747660.\nAnswer: 2*(i - 55186915)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*c + k, 4*k + 5 = -3. Suppose -7*q - c = -5*q. Let x(r) = -r**3 - 9*r**2 - 7*r - 12. List the prime factors of x(q).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55494900305046 take away 0.1?\nAnswer: 55494900305045.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**2\/l)\/l*l)\/(l**(-23\/5)\/l*l) assuming l is positive.\nAnswer: l**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2115 - -18?\nAnswer: -20ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 420, 5, 3, -4 in decreasing order.\nAnswer: 420, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 6*y - 3*y)*(10*y**2 + 8*y**2 - 5*y**2) + (20*y**2 + 1112 - 1112)*(-3*y + y + 4*y).\nAnswer: 66*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/35 + 38\/5. Suppose -d*y = 9*y + 68. Let k = 0.23 + 0.07. Is y smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/55 - (-2747)\/205?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58608792 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.81 + -4.91. Which is the second biggest value? (a) -1 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -63450.5797729759.\nAnswer: -63450.3797729759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - 78. What are the prime factors of q\/(-32) - (2 - 1)*-292?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = 0. Suppose -3*c - 19 = -5*u, -4*c - 4*u + u - 6 = d. Let z be ((-40)\/12)\/(1\/c). What is the highest common divisor of z and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 12 = -62*j + 63*j, -3*x - 5*j - 32 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251809237 take away 2902?\nAnswer: -1251812139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1 (c) -35 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.6878617 and -128931.\nAnswer: -128936.6878617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 247 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 1860*w**3 - 13*w + 4*w + 20*w**3.\nAnswer: 1880*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 + 7*a + 10. Let x be u(-5). Suppose x = -c - 59 - 39. What is the units digit of (-112)\/c + (-2)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 482400 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r + 5*i - 418 = 0, 0 = -4*r + 3*i + 402. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158312 or -158309?\nAnswer: -158312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + (sqrt(78) - (2*sqrt(78) - sqrt(78))))*1)\/(sqrt(6) + sqrt(72)\/(-3*sqrt(12) - sqrt(12))) - ((sqrt(325) - sqrt(325)*2*6) + -5)*-5)**2.\nAnswer: 41050*sqrt(13)\/3 + 8768158\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6269385?\nAnswer: 3, 5, 417959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:59 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1235 = -2*t - 318, 3*y - 913 = -t. Suppose -j + 4*j = y. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 729*t**3 - 5307*t**3 + 530*t**3 + 3*t.\nAnswer: -5506*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - -1) - (2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a + 12. Let g(f) = f**2 + 4*f + 1. Let o be g(a). Suppose -4*c = 5*k - 12, 8*c + 2 = -2*k + 3*c. Solve -o = k*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8337798 divided by -397038.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -111*q - 1004. Calculate m(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 - 7\/2*m**2 + 1\/6*m**3 + 19*m. Differentiate w(o) with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 2*m + 1. Let c be g(-3). Suppose 42 = h - c. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkfsv. What is prob of sequence vs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 42. Suppose a + j*a = -2*t + 238, 9 = -3*t. Let k = 63 - a. Solve -n - 1 = -h, 2*n - k*h = 2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*r - 19 = 0, 5*v - 45 = -7*r - 3*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 - 19597 + 39118 - 19521.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24*v - 4. Let i(b) = -12*b + 2. Determine -5*i(q) - 3*y(q).\nAnswer: -12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 2)*-6 + sqrt(98) + 1 + sqrt(98) + 4)**2.\nAnswer: 392*sqrt(2) + 1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (-4 - -1) + -2 - 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f + 4*f - 64739 = 0. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2160 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from {f: 1, x: 1, c: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/(-42)))\/(123\/(-41))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 86*u - 1643. Calculate t(-57).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 13. Let t be 4\/(-2) + 2 - 4. Let a(o) be the second derivative of o**3\/6 + 3*o**2 - 10*o. Give t*r(y) - 9*a(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*v - 5245 = 0, 939 = 4*i - 5*v - 4304. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assxxaxxa. Give prob of picking 1 x and 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 58. Let o(z) = 29. Determine 4*h(p) - 9*o(p).\nAnswer: -4*p - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 29 + 1. Factor 3*m**3 + 5*m**2 - m**3 + 60*m**4 - 6*m - 61*m**y.\nAnswer: -m*(m - 3)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/20 - -17\/5. Let u = -49\/12 + r. Is u smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -15. Suppose h*t = 8*t - 4445. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -10. Let s(g) = g**3 + 5*g**2 - 4*g + 7. Let a be s(j). Calculate the highest common factor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 0*a)*(-70 - 402*a + 25 + 32 + 13).\nAnswer: 804*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9117511 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1406*w**2 - 18*w - 13 + 1392*w**2 + 44*w - 24*w to i*w + t + o*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:02 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f - 55 = 0, -2*o + 2*f = -0*o - 42. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5635 and 980.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 13 = 2*f, 0 = -4*h - f + 3 - 16. Suppose s + 2*y + 6 = 0, 0 = -5*s + 5*y + 8 + 37. Is 1\/(-2) - 46*h\/s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -224*j + 219*j - 6*b, 12*j + 2*b - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 555437388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*u = -5*y - 1360, -1621 = 2*y + 3*u - u - 1613 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 5*n + 9, 3 = r + 3*n. Factor j**2 + 1\/2*j**3 + 0 + r*j.\nAnswer: j**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19502.61 + 19329. Round o to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 169*l + 562. Suppose 4*r - 5*w = 386 + 1642, -3*w = r - 507. What is the remainder when r is divided by z(3)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 5, -47, -21.53216?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 5 + 2 + 169 + x in the form t*x + i and give i.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -427810*h + 427747*h - 756 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/5 + -451)\/(((-63)\/(-1939740))\/7). Round j to the nearest one million.\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 25*r**3\/6 + 41*r**2\/2 + 8*r + 5. Is 32 a factor of d(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 3}. What is prob of picking 1 v and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.1 (c) -6 (d) -0.068 (e) 1\/2 (f) 1\/498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = -0*r. Find the third derivative of 4*d**6 - 6*d**6 + 6*d**r - 3*d**2 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -3\/4*n**4 + n**3 + 0*n**2 - 17 - 3*n. Let p(u) = -u**2. Determine p(d(l)).\nAnswer: -81*l**4 + 108*l**3 - 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 434229 + 434229 - 8*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 4*k = -3, 0 = -v + 3*k - 11. Let m be 1*(2\/v)\/((-4)\/20). What is the third derivative of -118*j**5 - 3*j**m + 118*j**5 + 13*j**6 wrt j?\nAnswer: 1560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 + 6*v**5 - 391*v**4 + 107*v**2 + 415*v?\nAnswer: -240*v**3 + 360*v**2 - 9384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 - 28 = 4*d - 99. What is the greatest common factor of 6258 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-126) + (-32)\/(-792)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j - 648511 = -2128366. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 1 - 9*j + 14*j**2 - 10*j**2 + 2*j. Suppose 111*i - 89*i + 854 = -100*i. Let y(w) = -7*w + 6. What is i*y(m) - 6*d(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562727323.\nAnswer: 562727323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87*r**2 - 1458 + 1458)*(12*r - 2*r - 2*r) + (3 - 3 - 2*r)*(-r**2 - 5*r**2 + 4*r**2) to the form u*r + p + s*r**3 + b*r**2 and give s.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131329*o - 141333*o - 122417*o - 150031*o.\nAnswer: -545110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 84, 121, 176, 255, 364?\n\"Answer: m**3 + 18*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 13. Let l be (-2)\/8 - t*(-1)\/(-4). Solve l = -4*d + 4*p + 12, 2*d + p - 17 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 11 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 - -3)\/((-2)\/(-6)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -11. What is the smallest value in i, 3, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - d = -184, l - 6*d + 2*d = 41. Suppose 0 = 3*k - 5*k + 6, k + l = 2*g. Calculate the least common multiple of 14 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 9*t**3\/4 + 21*t**2 - 135*t\/4 + 27\/2 = 0 for t.\nAnswer: -3, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-179)\/(51194\/(-52)) - ((-537)\/3135)\/(-1).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 4. Suppose 2 = -j + 3. Let g = j + 1. Let q(z) = 3*z + 3*z + 3*z - 5*z - 17. What is g*q(y) - 9*w(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 13. Suppose -4*i = 4*x - 372, -i - 5*x = -v*i + 425. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {b: 1, r: 3, t: 1, h: 2, z: 3, g: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let z = o - -2. Let h = -0.13 - 4.87. What is the nearest to 1 in h, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 151. Suppose -2*l - 3 = -4*k + 5, -f = -3*k + 4*l. Let x = -962\/399 + 44\/19. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(4 + 2*z - 4)*(-69*z - 64*z + 88*z).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - 163. Suppose -13*a + 10*a = -69. Calculate the remainder when o is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 15*r + 32. Let p be o(-13). Determine j, given that p*j**2 + 2*j**4 + 57*j**3 + 350*j - 362*j - 20*j**4 + 5*j**2 = 0.\nAnswer: -1, 0, 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4)\/11*-3. Let d = -25\/33 - r. Let w = -2756 - -2751. Put w, d, -3\/8 in ascending order.\nAnswer: w, -3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(900)*1*1 + sqrt(900))\/(sqrt(60)\/sqrt(5)*5).\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 2, -4 in decreasing order.\nAnswer: 7, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1881, -4, 3 in ascending order.\nAnswer: -1881, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -2*a. Factor -12*y + 9*y**3 + y**a - 7*y**3.\nAnswer: 3*y*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 36 = 4*i, 105*k - 101*k - i - 84 = 0. Let m = 92 + -30. Let n be 1\/3 - m\/(-3). Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -180. Solve z*m - 9 = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46352.593 days to weeks.\nAnswer: 6621.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/292677 and -89\/780472?\nAnswer: 2341416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2 - -2) + -1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + -3 - sqrt(2)) + 5 + (sqrt(2) - (3*sqrt(2) - sqrt(2))*5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 333*u**2 - 9629*u + 661. Calculate w(-301).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let l be p(-3). Let n(r) = r**2 + 10*r + 5. Let f be n(l). Let s be 2\/(-4) - 9\/2. Sort f, s, 4 in decreasing order.\nAnswer: 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8529 is divided by 4264.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - w**2 + 0*w**2)*(w**2 + 0*w**2 - 2*w**2) + 1 - 2*w**4 - 1.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 290 + -283. Solve -2 = -5*z + j*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.965203 months?\nAnswer: 0.00024710025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*v - 12 = 10*f, -15 = 3*f - 5*v. Which is the nearest to -2? (a) 5 (b) 14\/3 (c) -3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 16 = -2371*g + 2374*g, -4*g + 3*i = -13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4950*v - 515408. Determine y(-104).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*c + c + 241, -4*c = 2*h - 116. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.182, 4, 9, -0.36, 6.\nAnswer: -1\/2, -0.36, 0.182, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3092370*a + 75 = 3092375*a, 0 = -4*l - 6*a - 10 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 5) to base 14.\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*u - 160*c**3 + 1041*c**2*u wrt c.\nAnswer: 12*u - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 16) to base 14.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 34 - 34 + 110 + 3*l**3 - l**2 - 8*l**4 + 28*l**4 - 44 in the form c*l + k*l**3 + i*l**2 + v*l**4 + p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11965, -11918, -11797, -11566, -11189, -10630, -9853?\nAnswer: -8822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-8) + 5\/40. Suppose -g - 4*b = 0, 3*g - f*b = -15 + 1. What is the smallest value in 1\/4, g, -0.016?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*n**3 - 76*n**3 + 641*n**2 - 641*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32740637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 3:25 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1181417 - 9437643\/8. Let x = g - 1722. What is the common denominator of x and -65\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -177*n + 68*n. Which is the smallest value? (a) n (b) 13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*n**3 + 3*n**2 - 16*n + 12441?\nAnswer: 447*n**2 + 6*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2. Let v be f(3). Let d = 0.1 + -1.1. Suppose -2*k + k = -5. Which is the closest to v? (a) k (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g - 11. Let p(k) = -12*k**2 - 9*k + 41. Let u(i) = -3*f(i) - p(i). Let q(l) = 30*l**2 + 13*l - 17. What is 6*q(y) - 13*u(y)?\nAnswer: -15*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 1818495617719.\nAnswer: -1818495617718.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 160, 609, 1648, 3571, 6672, 11245, 17584, 25983?\n\"Answer: 49*r**3 + r**2 + 103*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25458.\nAnswer: 2, 3, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.04 + -5.04. Which is the third biggest value? (a) 0.4 (b) j (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -26*h**3 - 2*h**2 - 7*h - 5. Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4033*q + 252 = 4051*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3901 - 3841. What is the smallest common multiple of r and 375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(-14) + (7 - 5) and -85\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4 = -v, 127*b + 244 = 2254*v - 2249*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63547\/11554*(-12)\/(-33)*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 2*j)*(2*j**2 - 4*j**2 + 0*j**2) - j**3 + 7*j**3 + 10*j**3 + (2*j**3 + 2*j**3 - 2*j**3)*(2 - 7 + 4).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102890 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89592, 89597, 89602, 89607, 89612?\n\"Answer: 5*u + 89587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 293668037\nAnswer: -1\/293668037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ssoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 96 = 116 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2 and 1140\/184 + -6 + 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*z - 5*h**2*z**2 + 138*h*z - 273*z**2 - 3*z + 2 with respect to h.\nAnswer: 3*h**2*z - 10*h*z**2 + 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 3*r + 23*z - 18*z, 0 = -2*r - 3*z - 41. Let o(d) = -d**2 - 13*d + 195. Give o(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4494 = -3*j, -2504 = -5*i - 29*j + 31*j. Is i a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((10 - 8) + -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*n + 145 - 153 = 0, 2*n - 3 = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.539462872 + 322.\nAnswer: 324.539462872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22815.76 days in minutes?\nAnswer: 32854694.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 3*y**3 + 15*y - 4*y**2 - 2*y**2 + 2*y**2 + 0*y**3 as c*y**2 + m*y**3 + g + x*y and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 15*l**2 - 3*l + 12. Let z be y(12). Suppose 4*b = 2*b + z. List the prime factors of ((-1)\/(-4)*-2)\/((-2)\/b).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + 4\/(-1) + 2. Which is the nearest to r? (a) 1 (b) -2\/7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1344)\/(-27) - (-2 - -5). Let g = h + -47. Let b = -0.05 + 0.35. What is the smallest value in g, 3, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, -3908, -0.3, -5, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 14 + 20 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -9, -13, -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**7\/840 - z**6\/90 - z**5\/120 - z**4\/24 + z**3\/6 + 5*z**2. Let w(u) be the first derivative of q(u). Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = 5*v - 5*t, -3*t - 3 = -5*v. Let b be 116\/6*27\/18. Let u = 34 - b. Put v, 4, u in descending order.\nAnswer: u, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -5.2?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 + 832*k**2\/15 + 552*k\/5.\nAnswer: 2*k*(k + 2)*(k + 414)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037 + 5*q + 3984 - 1947.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81af6 + -3?\nAnswer: -81af9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*b**5 + 526*b**5 - 254*b**5)*(0 + 0 + 5).\nAnswer: 3400*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -14 + 4 + 5*j - 12*j. What are the prime factors of b(-8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9166 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 57104105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64379096 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 3*t + 8*t)*(0*t + 6*t - 2*t) to r + x*t + d*t**2 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 4, 50, 116, 208?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25746, -51502, -77260, -103020, -128782?\nAnswer: -154546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 86941909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9547 - -9547. Is -1\/11573 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0394 take away -0.42644614?\nAnswer: 0.46584614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2609 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 5)\/((-2)\/(-10)). Suppose u - f = -0. Suppose 3*m + 8*w - 51 = 3*w, 75 = 5*m + u*w. What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**7\/126 - b**6\/90 - b**5\/60 + b**4\/36 - 28*b + 9. Let c(l) be the first derivative of q(l). Determine s so that c(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x - 39 - 6*x - 15*x + 9*x to k*x + p and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 248\/(-62) - (-14)\/2. Sort 2, -2, n, -5 in descending order.\nAnswer: n, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2136186 and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (-3 + 10 + 1 + -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 18793530?\nAnswer: -18793529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 2 + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*d = 5, 3*d = 3*x + x - 7. Suppose -3*t - 11 = x. Let j = 1 + t. Let b(l) = -l**2 - l - 1. Give b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 53*d = 4*z + 1, -3*d - 35 = 5*z. Let l(a) = a**2 + a + 7. Determine l(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.7473 years to millennia.\nAnswer: 0.5347473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2990 = 20*t - 3450 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from owsws?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:43 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-2 - (1 - 2)). Let c = g - -40. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451979 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5631, -11348, -17065?\n\"Answer: -5717*v + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(896))\/sqrt(8)*-5.\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) 3 (c) -5\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 0.2. Let m = 1.802 + -0.802. What is the closest to h in -0.2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k + 5. Suppose -5*y + 15 = -3*w, 0 = -4*w - 0*w + 5*y - 15. Suppose -5*l + 5*f - 25 = w, 3*l - 2*f + 8 = -2. Calculate s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16844165.9999995 + -16844161. Let q = 5 - g. What is q rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/8 + -3 - 1\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6477791.\nAnswer: 31, 208961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 27896517?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, 1 o, and 1 m when four letters picked without replacement from {t: 1, o: 4, m: 1, y: 6, v: 1, b: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 6*s**2 + 3*s + 2. Let i(w) = 5*w**2 + 16*w - 1. Let f(a) = a**2 + a - 1. Let m(n) = -3*f(n) + i(n). Let d be m(-6). Is p(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440518 to the power of 1\/2, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 + 44*m**2 - 13*m - 24. Does 30 divide d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 9. Let n be o(6). Let m be ((-1 - -1) + -1)*(147 - 148). What is the highest common factor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 4*x - 4. Let s(t) = 5*t**3 - t**2 - 3*t + 5. Let n be s(1). Calculate g(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, -1489, 44087 in descending order.\nAnswer: 44087, 1, -2, -3, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-14) + 7788\/10738. What is the closest to -2 in 2, 0.4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 85?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 44*v**2. Let w(n) = -n - 7192. Determine w(o(m)).\nAnswer: -44*m**2 - 7192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 20, -10*i + 5*i = -a + 2861. Let q = 963 + i. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -2272523?\nAnswer: 2272525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 - 14 - -2) - (-11 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 0*o**4 + o**4 + (o - 4*o + 2*o)*(-6*o**3 + 3*o**3 + 5*o**3).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -h - 445 = -5*g, -5*h + 73 = x*g - 283. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*b - 3*b - 4*b)*(-b**2 + 2*b**2 + b**2) - 13*b**3 + 8*b**3 - 20*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-20 + 5 + 2 - -6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13794 + 441593\/32. Let f = l - 1663\/224. Calculate the common denominator of f and 45\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2, 204 in ascending order.\nAnswer: 1, 2, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/50 and -7\/6485?\nAnswer: 64850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 5*m - 3. Let b be j(-6). Suppose b*n = -42 - 69. Let w = n + 37. Solve w*x + 2*x - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23068\/16224 + -2 + (-7)\/(-4). Let l = 22\/169 - o. Calculate the common denominator of -91\/30 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 654, 0.4?\nAnswer: 654","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(72\/(-240))\/((-2)\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302263053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 199369 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2. Let o(y) = 7*y + 4. Let a(k) = 48*k + 27. Let t(r) = 4*a(r) - 27*o(r). Calculate t(z(f)).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*q - 3*n - 2, 2*n = -5*q - 33. Is (q - -4)\/((-2)\/24) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221084 divided by 2\nAnswer: 110542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 15*l**2 - 23*l + 18. What is h(5)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b - 3 - 42*b + 8*b wrt b.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -44, -67, -104, -161, -244, -359?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1.56 (c) -4 (d) -22 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -528 and 0.03125.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1170 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1519452 (base 10) to base 7.\nAnswer: -15625614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 - 207. Let o = v + 38.1. What is the nearest to o in 0.5, -1, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-716)\/(-1432))\/((-110)\/16))\/((-6)\/(-3)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-6)\/(-23)) + 10\/(-15). Let g be m + 27 - 1*4. What is the highest common divisor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose -3*u - u + 3*x = -142, p = u - x - 36. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.919925 - 6.1.\nAnswer: -7.019925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/3 - 6*m**2 + 9*m + 1. Let l be u(8). Let y = -15 - l. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -469500 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 92*a**2 + 3968*a + 115. Give x(124).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*1*3. Which is the smallest value? (a) 0.5 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 3402 = 47*m. Calculate the greatest common factor of 6678 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (180 - (-2 + 0)) + -1 is divided by (-344)\/(-86)*(1 + 114\/8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85*945.07\nAnswer: -80330.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 2, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 291*r - 7364.\nAnswer: -(r - 263)*(r - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 - 11.2. Let u be 1*(0 - 1*5). Suppose s - 2*l = -2, -3*s + 3*l - 3 - 3 = 0. What is the closest to -0.1 in k, u, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426502515?\nAnswer: 5, 1657, 292879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 22*a + 5 to n + u*a and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 513 + 1261. What is the remainder when 339 is divided by o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*x**3 + 152*x**3 + 2026*x**3.\nAnswer: 2660*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -451 + 546. What is the lowest common multiple of 133 and u?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -71. Let a = i + -112\/3. Which is smaller: a or 0.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83918, -167822, -251712, -335582, -419426?\n\"Answer: u**3 + u**2 - 83914*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -0.0215?\nAnswer: 0.3215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - r**2 + r**2 + 3 - 3 - 3*r**2 + (268 - 268 - 7*r)*(5 - 4 - 8*r + 5*r) + 2*r**2 - 2*r**2 + r + r**2.\nAnswer: 18*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let z(a) = -516689*a. Determine z(d(m)).\nAnswer: -1033378*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1066*u**2 + 207*u + 10. List the prime factors of a(-5).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20034711 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1749440 and 107\/4248640.\nAnswer: 29740480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -0.4, 80?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-70))\/((704\/(-462))\/32).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435605 = 39*o - 341196. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 90232710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73712 and 5287?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2100 and 24.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -256 + 281. Suppose a = 16 + 29. Calculate the highest common divisor of a and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(2) - (sqrt(2) + -1))**2 + ((1 + sqrt(72) + sqrt(72))**2 - sqrt(72))).\nAnswer: -861 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948534 divided by 2359?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151506*o - 151504*o - 151526*o + 454538*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (1 + -1 - 0). Suppose 3*k = -j*x + 242, 2*x - 7*x + 5*k + 605 = 0. Suppose 19 + x = 5*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 486?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336660 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from {i: 3, k: 5, b: 3, v: 2}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5) + 29 + -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103188093 plus -48?\nAnswer: 103188045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77226728.01689118 - 77226729. Let l = 141.01699218 - i. Let b = 142 - l. Round b to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -3*-3*(-4)\/18. Factor -1\/3*a**f - 1\/6*a**3 + 1\/6*a + 1\/3.\nAnswer: -(a - 1)*(a + 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/12 + 2\/8. Let z = -31541 - -31556. Solve 2*a = b*a + z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010385489 rounded to seven decimal places?\nAnswer: -0.0001039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(5\/(-10)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3 + 40*a + 18*a**2 + 6 + 11*a + 38*a + 19*a. What is the remainder when 5 is divided by v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 23*r**2 + 45*r - 6. What is the units digit of v(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 135 in descending order.\nAnswer: 135, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43\/5 - 8\/(-20). Suppose 36 = 3*i + n*i. Solve b + 2 = i*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - 5) + 54. Let b = i - 18. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 1. Let g = -14 - -15. Determine d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 154359324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 - 3*c**2\/2 - 3*c\/2 - 1\/2.\nAnswer: -(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let j be t(5). Suppose j*u = -12, 0 = 2*l - 0*u + 5*u - 65. Find the second derivative of -130*b + 22*b**2 + l*b + 39*b + 42*b wrt b.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 27721 = -b, 5*g = -b + 1877 - 29586. Suppose q + 3*q = 72876. Let c = q + b. What is c rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)\/w)\/w*w**(-2\/3))\/(w**2)**(3\/7) assuming w is positive.\nAnswer: w**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2606466 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 1cd?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 74*l**2 - 54*l - 110. What are the prime factors of q(-74)?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 1. Let b(j) = 4*j - 3. Let h = -2 - -1. Let d(l) = h*b(l) - 2*f(l). What is the first derivative of d(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmymmmmymggw. What is prob of sequence wyg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -455 + 453. Sort 0.1, d, 0.3.\nAnswer: d, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, -978, -2, -7, 1\/4, 2?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(9*x**5 - 133*x**4 + 133*x**4) + 0*x**2 + x**5 + 3*x**2 - 2*x**5.\nAnswer: 8*x**5 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -24\/85 (c) 4 (d) -1\/2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340475 and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 + 6*p**3\/5 - 9*p**2\/5 - 4*p\/5 + 12\/5.\nAnswer: -(p - 3)*(p - 2)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/5, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmmmmq. What is prob of sequence mq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3196431, 6392852, 9589273, 12785694?\nAnswer: 15982115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*f**2*h*r**2 + 12*f**2*r**2 + f*r**2 + f + 5*h*r - 6*r**2 wrt f?\nAnswer: 60*h*r**2 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 144\/14 - 6\/21. Suppose 0*u = 5*u - d. What is the second smallest value in 0.5, 0, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8510 and 13110?\nAnswer: 485070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21766 is divided by 5439?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/33)\/(21*19\/(-133))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {s: 4, r: 2, k: 4, j: 1, v: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-89)\/5 - (-1)\/(-5). Let s = 8\/147 - 382\/1617. What is the second biggest value in s, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317597559 to the power of 1\/2, to the nearest integer?\nAnswer: 17821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51408 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 3, q: 3, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(52))**2 - sqrt(52)\/(sqrt(16)\/sqrt(4) + sqrt(4)) - ((-4 + sqrt(52)\/sqrt(4))**2 + (-2*sqrt(1300) - sqrt(1300))).\nAnswer: 22 + 75*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 - 3*s + 1. Suppose -x = -j + 6, -4*x = -10*j + 5*j + 26. Let h be u(j). Solve -h*m = 24 - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + 3 - (11 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2. Let s(g) be the third derivative of g**4\/12 - 9*g**2. What is z(s(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2156214*s - 2. Let m(n) = -9*n**2. Calculate t(m(h)).\nAnswer: -19405926*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**3 + 7*w - 6. Let v(p) = -p**3 - p + 1. Let u(n) = l(n) + 6*v(n). What is the second derivative of u(j) wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r**6 + 0*r**4 - 113\/3*r**3 + 0*r + 22 + 2*r**2 - 89\/210*r**7 + 0*r**5. Find the first derivative of h(v) wrt v.\nAnswer: -356*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101101111?\nAnswer: -101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83.8 and 1106.\nAnswer: 92682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27 - (-969)\/38)\/((-3)\/4). Let 2\/11*n**3 - 4\/11*n - 2\/11*n**g + 0 = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*d - 60 = 72*d. Suppose 359 = d*k - 181. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834244 divided by 5714\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d - 4*a + 17, 0 = 5*a - 20. Suppose 5*n + 33 = -d*o, o = 3*o + 8. Is -5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 - 5*d\/2 - 3 = 0. What is d?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Solve -5*q - 2*k = 4, -3*q = -3*k - 3 - s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let j = -1.1 - d. Suppose -75*c = -73*c - 2. What is the third biggest value in j, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2.5, -1 in increasing order.\nAnswer: -2, -1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 9. Let p be z(6). Let i = -1 - p. Suppose i = 4*d - 6. Let g(w) = -w**3 + w + 1. Calculate g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 18. Let m = y + -14. Solve 2\/7 - 4\/7*s**2 + 0*s**3 + 0*s + 2\/7*s**m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - q = -4, -2*q + 4 = -6*q. Let m be (2 + -3)\/(o\/(-24)). Let d = 34 + m. Calculate the remainder when 39 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 209*n + 213*n = -710, -1434 = -2*p + n. Calculate the remainder when p is divided by 117.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -19*z**5 - 6*z**2 - z - 31. Let g(y) = -38*y**5 - 11*y**2 - 2*y - 61. Let k(n) = -6*g(n) + 11*x(n). Find the second derivative of k(v) wrt v.\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 5591*o - 979211. Give x(181).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(2*((1 + sqrt(1100))*4 + sqrt(1100) - 1*(-3 + sqrt(1100) + sqrt(1100))))**2.\nAnswer: 8400*sqrt(11) + 198980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11625*w + 1158 - 11620*w + 2*w**2 + 23245*w in the form n*w + r*w**2 + h and give h.\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -2.06. Let r = 1.75 - i. Let l = 0.25000038 + r. What is l rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 34930\nAnswer: -2\/17465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 133617*h - 298. Let f be y(-6). What is f rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 + 35*q - 45. Let t(p) = -p**2 - 8*p + 11. Give 2*i(w) + 9*t(w).\nAnswer: -w**2 - 2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z + 2*l + 2, 3*z - 4*l = 4. Suppose 14*b - 10*b - 1224 = z. Suppose -i - b = -4*i. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/2 - 48*d**3 - 855*d**2\/2 - 675*d = 0.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -263, -593, -1055, -1649, -2375, -3233?\n\"Answer: -66*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2623011.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 99*m**3 + 8*m**2 + 8*m + 23. Let s(f) = 33*f**3 + 3*f**2 + 3*f + 7. Give 3*n(k) - 8*s(k).\nAnswer: 33*k**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f**3 + 2*f**2 + 55*f wrt f.\nAnswer: -66*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2454321151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21. Solve -2*h + r*h + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m + 15. Let x be z(0). Let j(o) = 5*o**2 - 70*o + 6. Is 9 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t - 2808 + 5619 - 48*t + 58*t - 2811.\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.730894 * -0.1.\nAnswer: -0.3730894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 15 = 3*u. Let v be (-19)\/u - (-1)\/5. Suppose v*a - 42 = l - 15, -2*a + 9 = l. Calculate the highest common factor of a and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 606.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -1262, -2872, -5126, -8024?\nAnswer: -11566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (20 + -30) - (-3 + 4 - 12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -499\/3102 - -5\/66. Let a = -17\/752 - x. Calculate the common denominator of 95\/12 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -498696 times 6\nAnswer: -2992176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 6*f + 0*f + 4)*(-50*f**2 + 3*f**2 - 36*f**2) to q*f**2 + j + a*f + z*f**3 and give q.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*u - 21. Suppose 1695 = 2*y - 2*l + u*l, 9 = -3*l. Factor p**3 - y*p**5 + p**4 - p**4 + 848*p**5.\nAnswer: -p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 + 4. Suppose 25 + 19 = 11*t. Let q(d) = -d - 5. Let f be q(-4). Which is the closest to f? (a) 2\/7 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 - 390*s**3 + 9900*s**2 - 78010*s - 88305 = 0. Calculate s.\nAnswer: -1, 21, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/6)\/((o**(-10\/11)\/o)\/o) assuming o is positive.\nAnswer: o**(203\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/22 and 65\/484?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqww when four letters picked without replacement from {w: 4, q: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10936, -13779, -16622?\nAnswer: -19465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9053 + 88241 + 131976 = -7944*l - 50988 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**3 + 2*a**2 + 2*a + 1. Calculate j(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011111100000000101 (base 2) to base 6.\nAnswer: -115414221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 32*i - 19. Is j(9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1302 = -3*z, 5*t = -5*z + 4*z + 414. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230.0529 + 0.0529. Let w = 144 + o. Let h = -98.6 - w. What is h rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -358731 smaller than -358731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10855117 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/45 - (-7308)\/1260.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = -2*h, 5*h - 28 = 19*a - 21*a. Suppose 3*g + 2*g - 335 = 0. What is the remainder when g is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 830 - 37*a**2 - 830 + (-1 + 3*a + 1)*(-a - a + 4*a).\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 743*v**3 - 6*v**2 + 188. Let c(o) = 744*o**3 - 5*o**2 + 188. Let h(j) = -4*c(j) + 3*k(j). What is the derivative of h(m) wrt m?\nAnswer: -2241*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + sqrt(700)*-2 + 5))**2 - (sqrt(700) + (sqrt(700) - -3*(2 + sqrt(700))))) + 5.\nAnswer: -250*sqrt(7) + 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4762 and -0.1?\nAnswer: 4762.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 249*m**2 - 5*m + 124*m**2 + 122*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -85. Which is the closest to -0.04? (a) i (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.585068mg?\nAnswer: 0.000002585068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + (10 - 14) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:01 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3891.394um to millimeters.\nAnswer: 3.891394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94960 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1146.0770056 - 1144.977. Let b = 29 + -27.9. Let s = z - b. What is s rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/4)*t**(-2\/11)*(t\/t**(1\/3))\/(t\/t**(1\/2)) assuming t is positive.\nAnswer: t**(97\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37556*w - 29355 wrt w.\nAnswer: -37556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = -2*d. Suppose q = -l + 63, d*l - 5*l = 2*q - 315. Suppose 2*z + 0*z - l = -3*i, -i - 43 = -2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199 + 232. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-4287\nAnswer: -4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**5\/40 + 17*q**4\/12 - q**3\/3 + 8. Let d(g) be the third derivative of v(g). What is the tens digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1097*m - 6585. Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 3*l**4 - l**4 + (-16 + 16 + 3*l**4)*(1 + 0 + 0) - l**4 - l**4 + 4*l**4 + 3*l**4 - 4*l**4 + 2*l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3)\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/3 - 5*g**2 + 132*g. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3600926.778 to the nearest one hundred.\nAnswer: -3600900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*p - 86, -5*p - 8 + 86 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atttatataatta. What is prob of picking 4 a?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*5*(-2 + (sqrt(931) + 2)**2)*-4.\nAnswer: -223920 - 6720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssppscppstpdpss. Give prob of picking 1 t, 1 d, and 1 p.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*p**2 + 2 - 3\/2*p.\nAnswer: (p - 4)*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12\/19, 11, 2\/5, -4 in descending order.\nAnswer: 11, 3, 2\/5, -12\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 61 = 27*m. Suppose -1595 = -m*n + 210. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857486 divided by 14.\nAnswer: 61249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5327.\nAnswer: -21308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(315\/72))\/(6\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 1 + 0 - 4*p. Let v(i) = -2 + 30*i - 72*i + 25*i + 25*i + 1. Give 7*f(b) + 6*v(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/((-15)\/((-450)\/60))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:46 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5006775, -5006755, -5006733, -5006709, -5006683, -5006655, -5006625?\nAnswer: -5006593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9902224 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqg. Give prob of picking 1 q and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4917 = -61*v + 276*v + 2393 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 17*t**2 - 13*t + 41. Determine i(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -540, -0.0617, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -599 and -35284\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(1\/18))**(-48)*(t**10\/(t*t**(3\/5)))**(7\/6) assuming t is positive.\nAnswer: t**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 39 - 9*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-3)\/9)\/((-112)\/24)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1006982*w + 117479276 wrt w?\nAnswer: 1006982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 65*w - 53. What is l(22)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 j when three letters picked without replacement from {j: 1, u: 2, b: 2, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -11. Suppose 5*q = 5*w + 320, -2*q - 138 = 5*w + 154. Let n be (5\/((-125)\/120))\/(18\/w). Solve -m*l = -3*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7893976 + -813924. What is x rounded to the nearest one hundred thousand?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 19 + -9 + -11 - 70?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -57*g + 871. Give j(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/17 - 2496784*j\/17 - 779241292832\/17.\nAnswer: -2*(j + 624196)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 33 - (-18 - (-9 + -16 + 2)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 3 = -41*a, 0 = 4*v - 4*a - 700. What is the remainder when 1264 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22363709 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 8 + 1 + -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2280378, -2280374, -2280370, -2280366, -2280362, -2280358?\nAnswer: -2280354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**5*a**0)\/((a*a\/(a**(-1\/3)\/a))\/a)**14*((a*a\/(a\/(a**0\/a)))**(-1\/16))**(-27) assuming a is positive.\nAnswer: a**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 8528*c - 18198732. Let d(l) = 10*l**2 + 25583*l - 54596190. Let a(u) = 4*d(u) - 13*x(u). Let a(m) = 0. What is m?\nAnswer: 4266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - s - 22 = 0, 2*p - 4*s + 3 - 1 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -17*s**2 - 304*s - 265. Give i(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o - 15 = 0. Let p = 4 + o. Let x = -1.2 + 1. What is the nearest to 2\/3 in 3, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 8*f + 9. Calculate m(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53394466?\nAnswer: 2, 26697233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 8*y - 9. Let k be l(7). Let m be k\/9 - 580\/(-18). Suppose m = 5*n + 7. What is the greatest common divisor of 55 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1078600 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -13) + 127 + -136.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6)*157\/((-261562)\/(-84))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 5*q + 1. Let m = 9 + -6. Suppose -m*x + 1 = 13. What is the units digit of t(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.281 + -0.019. Let h = -7.3 - l. Let o = -1.4 - -1.5. Which is the third smallest value? (a) o (b) -2\/17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -601 - -598. Let r be (1*-1)\/((-5)\/(-219)). Let i = r - -44. Which is the second smallest value? (a) -7 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(28)*-5)\/(sqrt(256)\/sqrt(4)).\nAnswer: -4 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/40 + 792\/(-30). Suppose 0 = -5*p + 3*r - 8*r - 130, r = 5*p + 130. Is p less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.3351368 + -0.04477?\nAnswer: 50.2903668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, 4, -5 in ascending order.\nAnswer: -5, -3, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + h**4 - 3*h**3 - 5*h**2 - 2*h.\nAnswer: h*(h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33*n + 342. Let a be j(-9). What is the greatest common factor of a and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*y - 4*h, 6669*h - 6664*h = -2*y + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/16 (b) 2\/9 (c) 1 (d) 2\/19 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*v = 39 - 15, -5*v = 13*o + 182 - 78 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 690425149 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**2. Let a(m) = 124*m - 8165. Let u be a(66). Let t(r) be the second derivative of -u*r + 0*r**3 + 0*r**2 - 1\/2*r**4 + 0. Determine t(h(y)).\nAnswer: -294*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 4. Let z(s) = -6*s - s**2 - 4 - 3 + 14*s. Let h be z(g). Sort 1, h, 4 in decreasing order.\nAnswer: h, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10431741.\nAnswer: 3, 19, 197, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -39136.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -30. Let p = -41 - t. Let b be p\/(-12)*(7 - 3). Calculate the highest common factor of b and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0112082159325 + -0.3\nAnswer: -0.2887917840675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 2*d**2 + 3*d + (-3 - d + 3)*(-2*d + 2*d + d) + 15*d**2 - 2*d**2 - 2*d**2 + 2 + 7*d**2 - 2 in the form a*d + n + u*d**2 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5965 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdpdpxppdpddppdppp. Give prob of picking 1 d and 2 p.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) - (52\/15 - 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4\/65 in ascending order.\nAnswer: -3, -4\/65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125106 (base 8) to base 5.\nAnswer: 2343330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(2\/25)*f)*f*f\/(f*f\/(f*f**(-2\/7)*f)*f))**(-39) assuming f is positive.\nAnswer: f**(-4329\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 1)*(l - l - l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 24, -25, -1 in decreasing order.\nAnswer: 24, -1, -4, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.88016*-0.4\nAnswer: -1.152064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*r - 133*r - 10 = 0, 4*m + 3*r - 76109 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -124*w + 125*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -222023102333?\nAnswer: 222023102303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/9)\/(10\/12). Let g = 9 - 37\/4. Which is the biggest value? (a) n (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 - 31. Let s = r - 105. Solve -15 = -0*z - s*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 1115162.\nAnswer: 32339698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032102 to six dps.\nAnswer: 0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1963, -3917, -5843, -7729, -9563, -11333?\n\"Answer: 2*b**3 + 2*b**2 - 1974*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from stvvfvvcvdvvdvv?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + 335?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:31 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = g + 33. Suppose -90 = -2*p + 4*k, -k + 3*k - 45 = -p. Let z = p - g. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 4*p + 0*p. Let w(f) be the first derivative of 2\/3*f**3 + 0*f + 0*f**2 - 8. What is w(c(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 67*a**2 - 130*a - 4220. Calculate i(-66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -2) + -27 + (12 - -23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 129. Let g(u) = 16*u. Determine g(a(r)).\nAnswer: 16*r + 2064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6492229587.\nAnswer: 3, 721358843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*d + 1 - 727*d + 2.\nAnswer: 7*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**8\/80640 + t**5\/20 - t**2. Let j(i) be the third derivative of x(i). Factor j(q).\nAnswer: -q**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9618 - -25.6002. Let r = y + -0.062. Round r to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9990.02 grams in tonnes?\nAnswer: 0.00999002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w**(-9))**14\/((w**(-2\/15)*(w*(w*w\/(w**7*w*w))\/w*w*w)\/w)\/(w**(-7\/2)*w**(-3\/8)*w)) assuming w is positive.\nAnswer: w**(5431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*o + 5*a**4 - a**3*o - 16013*a**3 - 3*a**2*o + 166*a**2 + 15*a*o + 4*o + 13 wrt a.\nAnswer: 24*a*o + 120*a - 6*o - 96078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 - (6 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258*j**5 - 362*j**2.\nAnswer: 15480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30*(-25)\/(-2400))\/(12\/(-32)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 2*t + t = 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 1, f: 7, m: 9}. What is prob of picking 1 p and 3 f?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 28*z**2 + z + 23. Let d be f(-28). Which is the third smallest value? (a) 2\/7 (b) d (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.2552 centuries to years.\nAnswer: 15225.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8434, -84, 1?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q**3 + 14 + 6*q**3 + 5*q**3 + 5*q + 7*q**3 - 15*q**2. Let l be a(7). Let u = 32 - 28. Put l, u, 2 in descending order.\nAnswer: u, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -167940376.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 121?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 121?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10 - 34 + 15 + 10. Let g(z) = z - 4. Let x = -2 - -4. Suppose -15 = 3*b, 2*y = -2*y + x*b + 26. Give y*j(t) + g(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (494 + 51 + 257)*(-19 + 3*s + 19) to d*s + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1510691 - -38?\nAnswer: 1510729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 6814451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 51834.07 centuries?\nAnswer: 5183.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101010000?\nAnswer: 101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22256*l**2 - 22258*l**2 + 186 - 28*l - 165.\nAnswer: -2*l**2 - 28*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824458 is divided by 1499.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6730 - -6808. What is the remainder when 1946 is divided by l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 218 = -3*r, 0 = -3*r + 3*y + y - 182. What is the common denominator of (-1)\/3 + 10\/18 and 34*r\/468 - -5?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*k = k - 56, -3*t + 3*k + 18 = 0. What is the remainder when 1*((-3 - -3) + t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10\/17*k - 2\/17 + 12\/17*k**2 = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 12 = 9*c + 3*k, -3*k - 3 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9580407, 19160818, 28741229?\n\"Answer: 9580411*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 3:58 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = -4*a - 14, 5*k + a = 157. Suppose 3*y + 4*f = 190, -99 = -3*y - f + 88. Calculate the highest common factor of k and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3. Let r be (6\/8)\/(3\/(-12)). Determine o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -17) + -6 + -19 + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5235 - (-38)\/((-114)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 + 36 = 0. What is the least common multiple of ((-8)\/10)\/((-4)\/10) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/15)\/x*x)**(-40))**(17\/7))**(7\/4) assuming x is positive.\nAnswer: x**(-442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 + 20840*v**2 + 4327204*v + 4306360 = 0.\nAnswer: -199, -1, 5410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let w(n) be the second derivative of 0*n**2 + 0*n**3 + 1\/2*n**4 + 0 - 2*n. Calculate j(w(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 2570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 13*j**2 + 3*j + 45. Give v(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-1295)\/290)*1617\/(-154)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 1 - 7) + 29\/((-1914)\/(-252)). Which is the second biggest value? (a) -0.11 (b) -6\/7 (c) x (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3269200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-three quarters of a milligram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*v - 634 = 914 + 897. Solve -v = -4*j - 43 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16566013535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + -3 + 5 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -80, 8, -4, 49 in decreasing order.\nAnswer: 49, 8, 2, -4, -7, -80","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 2*p - 10*h + 9*h, -3*p + 2*h + 938 = 0. Calculate the remainder when p is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 15, 5, -9, -27, -49?\n\"Answer: -2*r**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (-23 + 0 + 2 + -2 + -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -34*m**2 + 104*m + 305. Calculate w(-3).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:48 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -31, -4, 34 in descending order.\nAnswer: 34, 5, -1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f - f + (2 - 1 - 3)*(2*f - 3 + 3) + (0 - 3 + 1)*(-7*f + 2*f + f) as a*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + 327 = 37 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 13, j: 1, k: 3}. What is prob of picking 3 k and 1 b?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5 + 4 + n + 12*n**3 - n**2 + 0. Let d be k(1). Suppose 6*u = d*u - 670. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -n*l = 5*r + 2*l - 585, 2*r = l + 234. Suppose 0 = -3*k - 34 + 73. Calculate the highest common factor of r and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/66 + 2\/11. Which is smaller: s or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446260 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8*(-12)\/(-15))\/(1\/(-5)). Suppose -5*l + l = -m. Suppose -5*s - 4*g = 1 - 15, 0 = -4*g + 4. Solve -l = s*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37a294 (base 12) to base 14\nAnswer: 199560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000926 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 196*h**2 + 194*h - 272. What are the prime factors of p(12)?\nAnswer: 2, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + n)*((4*n + 17*n + 34*n)*(1 - 3 + 4) - n + n + 2*n).\nAnswer: 336*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119466994*d**2 - 108817288.\nAnswer: -238933988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 + 895*a - 117. Let w be b(-69). Solve 4*f = j + w, 2*f + 4*j - 3 = 3*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*((u\/(u*u\/(u**(1\/2)\/u)))\/u)\/u*u)\/u)\/u)**31\/((u*(u\/(u**(-2\/7)*u))\/u)\/u)**(-37)*((u\/(u**(2\/11)*u))\/u*u**(3\/4)\/u)**(8\/5) assuming u is positive.\nAnswer: u**(-81789\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:56 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (51\/187)\/((-51)\/(-935))*(-305)\/(-100)\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 280*p**2. Let m(w) be the second derivative of w**4\/4 + 5949*w. What is m(b(o))?\nAnswer: 235200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 182543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1272\/2120)\/(6\/7010).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 843 - -21d8?\nAnswer: 2a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 49. Let u be (1 - (-22)\/o) + 2\/(-13). What are the prime factors of (-1 - -130 - -2) + (u - -3)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 31*n - 8. Let y(x) = 17*x**2 + 1. What is the lowest common multiple of z(11) and y(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*r + 4*r - 28, 0 = 4*i + 2*r - 32. Suppose -2*j + i*j - 3*u = 123, -4*j - 3*u + 141 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/30 - 5*m**4\/6 - 8*m**3 - 112*m**2\/3 - 53*m + 6. Determine u so that r(u) = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788927687?\nAnswer: 3, 22085527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 7*i**2 + 7*i - 4. Let w be h(6). Suppose 4*v = 16 - 4. Suppose v*p = 4*p - 5. Solve 4*y - 35 = -5*u, -p*u + w*y + 1 = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101636.\nAnswer: 2, 3, 29, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -6*h - 92. Sort h, 17, -5, -4.\nAnswer: -5, -4, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111232 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:32 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -20. Let k = 4 + 0. Suppose 0 = 5*m + o - 20 - 6, -5*m + k*o + 46 = 0. What is the remainder when w is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - -54. Does 46 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 - 4?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/19? (a) -16 (b) -4 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 2*h**2 + 2*h + 2. Let u be t(-2). Let k be (-8)\/(-14) - (608\/84)\/8. Which is the second smallest value? (a) u (b) -3 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31430 + 23718. Which is greater: -1\/2 or j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*12*(-45)\/(-144)*4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -9439, -2\/9, -13?\nAnswer: -9439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - b + 5, -2*v + 2*b - 10 = -0*b. Suppose 4*t = -v*t. Let s(c) = c + 6. What is the units digit of s(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5653044, 5653076, 5653108, 5653140, 5653172, 5653204?\nAnswer: 5653236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3126, 6049, 8646, 10797, 12382, 13281, 13374, 12541?\nAnswer: 10662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let g(o) be the second derivative of 3*o**3\/2 + 79*o. Determine f(g(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y*y\/y**(-12))**(-44)\/((y\/y**(1\/3)*y*y**(1\/5)\/y)\/(y**3\/y*y**(3\/5))) assuming y is positive.\nAnswer: y**(-7894\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(9\/(-15) - (-32)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027342 divided by 2.\nAnswer: 513671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f**2 + f**2 + f**2)*(-2 + 2 - 4*f) + 4*f**3 - 4*f**3 - 2*f**3 + 0*f**3 + f**3 + 3*f**3 to the form h*f**3 + v + j*f + r*f**2 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 3*i + 2. Let b(x) = 3*x**2 - 9*x - 7. Determine 3*b(p) + 8*t(p).\nAnswer: p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -175, -230, -249, -220, -131, 30?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/40 - 2\/(-5) - -2. Let z(y) = 7*y**2 - 29*y + 15. Let v(p) = 3*p**2 - 14*p + 7. Let j(n) = -5*v(n) + 2*z(n). What is the units digit of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 - 1 - 4526\/(-146). What is the derivative of -2*i**2 + 5*i**3 + 65 + 8*i**3 + i**2 + v*i**3 wrt i?\nAnswer: 135*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -4427.\nAnswer: -4425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000206 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11680792 is divided by 359.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/4? (a) -4 (b) 269 (c) -5 (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 8. Let b be (-18)\/(-4)*(-4)\/q. Determine x so that -4\/5*x**2 + 6\/5*x - 4\/5*x**b - 2\/5 + 6\/5*x**4 - 2\/5*x**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20451332 (base 6) in base 16?\nAnswer: -91f28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (27 - 34) + -21.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 10. Let d(c) = 3*c**2 + 17*c + 33. Let q be d(-6). Suppose -q = -r + 14*r. Determine o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/45 (c) 33 (d) 0.3 (e) -5 (f) -0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 107.1 from -2.\nAnswer: -109.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 1\/105*r**7 - 2*r**2 + 0*r + 0*r**4 + 0 + 0*r**6 + 0*r**5 - 1\/6*r**3. Differentiate u(v) with respect to v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212\/1143 + 14\/381. What is the second biggest value in 0.3, -32, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/6)\/(12\/10))\/(56\/(8512\/57)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose n*c + c = 4*g - 21, 0 = g + 4*c. Does 16 divide (1 - -3)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 275 = -3*v, -3*v - 4 = v. List the prime factors of b\/11 + (-16)\/(-88) + 642.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**19*r)**(-7\/10) assuming r is positive.\nAnswer: r**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135050 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157898 + 6?\nAnswer: 15789e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24158 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.38, 0.5, -2\/3, -2\/37, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -2.3561626.\nAnswer: 1.9561626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 14 (b) -1 (c) -0.3 (d) -2925\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2103*f + 116*f - 182714 = 915*f - 1643*f for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 11 = -3*a + 13, 0 = 2*a + 4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 divided by -4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 7*w. Let b be 6\/27 - 1992\/(-27). Let r = b - 47. Let x = 16 - r. Let i(t) = 4*t**2 - 13*t. Give x*h(o) - 6*i(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 11. Let h(o) = 1. Let c(t) = -g(t) - 6*h(t). Let d be c(7). What are the prime factors of ((-18)\/(-15))\/(d\/440)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3658407 or 3658384?\nAnswer: 3658407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5534 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, 1\/7, -238\/3 in ascending order.\nAnswer: -238\/3, 1\/7, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.83448 and -110.\nAnswer: 201.7928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -572 - 337 + 277*u - 236*u**2 + 119*u**2 - 717*u + 119*u**2 with respect to u.\nAnswer: 4*u - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 59 = 3*z. Let j = z - 14. Solve -j*y - 16 = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + x = -b - 10, 2*b + x - 23 = 0. Let s = b - 6. Solve 0 = k + s, -y - y = -5*k - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124586258?\nAnswer: 2, 1579, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(637) + (sqrt(637) + 2)**2) - sqrt(637)) + sqrt(637))*-4.\nAnswer: 700*sqrt(13) + 12820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*t + 11, -4*k + 2*t = 4*t + 80. Let n = k - -21. Let r be 6\/((-54)\/12 - -3). Put r, 3, n in decreasing order.\nAnswer: 3, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*u**3 - u**2 - 1945 wrt u.\nAnswer: -72*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**3 - b**2 - 5. Suppose u + 2*m - 4 = -0*m, -m - 8 = -2*u. Is t(u) 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 130414*j**5 - 10*j**2 + 45098*j - 1?\nAnswer: 2608280*j**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2216720 + 18*u**3 + 11*u**2 - 2*u**3 - 11*u**3 - 2216720 - 11*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 - 2*o - 8. What is the units digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qql when three letters picked without replacement from lqlql.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 2. Let c(z) = -5*z**2 - z - 4. Let m(q) = -4*c(q) - 7*x(q). Determine m(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + x = 4*v - 38, -2*x - 13 = -v. Suppose -1218 = -v*b + b. Is 36 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b8 - -359a?\nAnswer: 33b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 1\/(-3)*(-1547)\/(-259). Let a = 38\/111 + r. What is the closest to a in 2\/3, 2\/9, -7\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982\/7 smaller than 0.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222403293 is divided by 228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 45*l**3 - 6*l**2 - 4*l + 7. Let z(h) = h**3 - h**2 - 2*h + 3. Let w(u) = -j(u) + 2*z(u). Find the third derivative of w(y) wrt y.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 17 = -4*q + 5*y, q + 296*y - 301*y = -38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/7? (a) -21 (b) -0.5 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 29*r**2 - r - 1. Let a(j) = -j**2 - j + 1. Calculate -a(t) - o(t).\nAnswer: 2*t**3 - 28*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*z + 4194 = -18490, 5*o = 3*z + 28366. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60017891689 + -60017891682.4569992547. Let j = a + -6.543. What is j rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13*v**3 + 3*v**2 - 21*v + 6. Let u(l) = -37*l**3 - 8*l**2 + 63*l - 19. Let y(m) = 17*t(m) + 6*u(m). Let p be y(6). Solve -p*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222 (base 3) to base 2.\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -1 + sqrt(2057) + sqrt(2057) + 0 + sqrt(2057) + -3))**2.\nAnswer: -2376*sqrt(17) + 166761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.8. Let z = 12 - 12. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7815 + 13060. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1\/3, 3, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -22*x - 12. Let h be r(-6). Calculate the greatest common divisor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and (9\/(-6) + ((-341)\/(-22) - 12))*32.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*p - g, -2*g = -p + 10 - 3. Let b(c) = 9*c**2 + c - 13. Let i(t) = 5*t**2 + t - 7. Let v(s) = p*i(s) - 6*b(s). Calculate v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u*v*z**2 - 4915223*u*v - 13*u*z - 2*u - 358137*v*z**2 + 196*v + 2*z**2 + 2*z wrt u.\nAnswer: -v*z**2 - 4915223*v - 13*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, m: 2, u: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 - r + 4. Let x be j(2). Suppose -5*g = -x*g - 27. Let k = 7 + -4. Solve k + g = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 66. Sort d, 4\/3, -1\/6 in decreasing order.\nAnswer: d, 4\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2\/2 + 7*g + 3. Let t be h(-6). Which is the closest to 1\/2? (a) t (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12)*(-216)\/1782.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 10*v**2 + 25*v + 21. Is t(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:38 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 4, -27, -74, -137?\n\"Answer: -8*x**2 + 9*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/42)\/(-2) + 20\/(-30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -18*y**4 + 3*y**3 + 54*y**2 - 45*y + 6 = 0.\nAnswer: -2, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, g: 5, s: 4}. What is prob of sequence sgsg?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*2 + sqrt(1920))*-4)\/(sqrt(1000)*-2*-2).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1697596, 1697588, 1697590, 1697608, 1697648, 1697716, 1697818?\n\"Answer: t**3 - t**2 - 12*t + 1697608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925216279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 273*f - 2166. Let l be n(8). Let x(v) = v**2 - 15*v - 90. Give x(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 38*g - 172. Calculate the highest common divisor of 236 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, 2, -4 in descending order.\nAnswer: 3, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*x - 545*x + 2*l = 22, 0 = -2*x + 3*l - 25 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.275 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 68775126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3 + 3*x + 2 - 3 - 2. Let h(y) = -y + 87. What is g(h(z))?\nAnswer: -3*z + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56812 divided by -14203?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-521)\/30 - (-2)\/10 and -67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257521 + 159988. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/28 - 2\/7. Let d = g - -5. Solve 4*s - 3 = d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -9 (c) -321\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4 + 34 + -4). Which is smaller: -22 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(1728) + -2*sqrt(1728)) - sqrt(1728)))\/(1*(sqrt(600)\/(1*sqrt(10)))\/(-6*sqrt(40))).\nAnswer: -2592*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288404 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184.56 - 86.33. Let m = 98 - y. Which is the nearest to m? (a) -4 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27578 + -149?\nAnswer: 2742c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -15*x - 504. What is the highest common divisor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80101.64 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 13) to base 7\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 - 11*t**2 - 787*t - 4597. Determine d(-6).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - 7 + 5*q - 9 - q + q - q + q + 0*q + q + (1 + 2 - 1)*(12 - 12 - 9*q).\nAnswer: -15*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.4, 1.84?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -y - 2*u, 167 - 171 = -4*y + 3*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125104 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: Four letters picked without replacement from {c: 11, i: 3}. Give prob of sequence ciic.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11726\/(-123))\/(((-4)\/6)\/(-2)). Let v be 1\/2 - -13*11\/k. Solve 4*s + v*l + 3 = -l, 3*l = 2*s + 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 36*l - 213. Let u be a(7). Suppose 87 + 30 = u*s. Solve 0 = 4*r - s*r + 2, -4*p = -5*r - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 7*l**3 + 4*l**3 + (0*l - l + 4*l)*(l**2 + l**2 + l**2) + (20 - 20 - l**2)*(3*l + l - 6*l) to t*l**3 + n + b*l + d*l**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, b: 1, q: 11}. What is prob of picking 1 b and 2 q?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9802*g**2\/15 + 127662*g\/5 + 9204\/5 = 0?\nAnswer: -39, -354\/4901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79, 139, 145, 67, -125?\n\"Answer: -5*a**3 + 3*a**2 + 86*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -409, 3, 4, 2\/11, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.930011g to nanograms.\nAnswer: 1930011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -26. Let p be -12*1\/t*2\/3. What are the prime factors of -2 + (4 - 2) - (p + -12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -75358\nAnswer: -22607.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 67 + (19 - (3 + 5 + 34 + -21)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027935053 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*(2 + -4). Let w be 26\/(1\/n*-4). Suppose -3*p + 208 = p + 2*q, p - 52 = 4*q. What is the greatest common factor of p and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241 is divided by 557?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -15196 and -15694 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 141?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 5)\/(-4)*(-10 + -34)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38231730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 112022?\nAnswer: 112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-269)\/(-1076)*(-4)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. Let v(y) = y - 11. Let t be v(13). Let m be 0*(10\/(-8))\/((-3)\/24*20). Solve m = -4*w + x*w + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(272)*1 + (-1*sqrt(17) + -3)**2) + 0)*2.\nAnswer: 312 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -25. Suppose -2*k = -o - 115. What is the highest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4 + 4*r - 3*r**2 + 12*r**2 - 2*r**2. Let p(f) = -63 + 32 + 35 - 8*f. Let q be p(1). Let g(c) = -20*c**2 - 11*c + 11. Calculate q*g(u) - 11*w(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 - 118\nAnswer: -120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 5, n: 1, k: 4, z: 1}. Give prob of picking 1 n, 2 z, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5, 4*m = 44*u - 41*u - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -5.42. Let g = l - -4.3. Let n = 2.8 - g. Sort -0.3, n, -4 in increasing order.\nAnswer: -4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171.5 + 171.1. What is the third biggest value in -2, 0.5, z, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggv when three letters picked without replacement from {p: 5, o: 1, g: 5, v: 1, a: 4}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(3*n - 2*n + 0*n) - 81*n - 50*n + 41*n + 4*n - 4*n - 6*n in the form r*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 40 = 19*b. Let s(o) = 5*o - 106. Let h be s(b). What is the second biggest value in h, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8254876*o*x + 7158343*x wrt o.\nAnswer: -8254876*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643b (base 14) to base 5.\nAnswer: 1023201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let z = r - 13. Let b = 11 + z. What is the second smallest value in -0.1, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 9*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*w**3 + 29*w**3 - 22*w**3 + 162*w**3.\nAnswer: 377*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2271008238 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2 and -31\/45464?\nAnswer: 45464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 21. Let q = -11.8 + -8. Let p = g + q. Is 1\/9 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2249467594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 3*q - 12. What is c(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 2 c when four letters picked without replacement from {n: 1, c: 3, b: 2, j: 6, v: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 13, -1, -5.\nAnswer: -5, -2, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 35*n + 16. Let t = -13152 + 13164. Calculate c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 42 - 12. Let o be j*1 + (1 - 4)\/(-3). Let d be -2*((-135)\/o)\/5. Solve 4*m = d*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 98512*p - 1213076768 = 0. What is p?\nAnswer: 24628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17844, 17866, 17890, 17916?\nAnswer: 17944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 176 - 270 = -4*l + 20*d, 4*d + 16 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21128497725 less than -67?\nAnswer: 21128497658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -7*c - 120. Suppose 0 = d - 2*d + 11. Calculate the remainder when c is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i = -1394 + 64. What is the greatest common divisor of i and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from nxxxxnuuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 8 + 25 = 0. Let a(s) = -s**3 - s**2. Let g(x) = -27*x**3 + 59*x**2 + 34*x - 12. Let z(t) = k*g(t) - 3*a(t). Determine v so that z(v) = 0.\nAnswer: -2\/3, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13804 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -169\/7*h**2 + 0 - 661\/7*h**4 + 64\/7*h**5 + 94*h - 5\/21*h**6 - 1664\/21*h**3. Determine y so that r(y) = 0.\nAnswer: -1\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 2*g**2 - 11*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2011*l**3 - 3*l - 326. Let c(q) = 6032*q**3 + 8*q + 978. Let n(t) = 3*c(t) + 8*d(t). Differentiate n(v) wrt v.\nAnswer: 6024*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2 + 17 + j - 10 - 5. Let z(l) = -3*l + 16. Calculate z(x(s)).\nAnswer: -3*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3*(-6)\/(-126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.475235 to two decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 900?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20668937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8239206?\nAnswer: 2, 3, 1373201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 11*z - 117 - 110.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 479 = 236. Let z be 2\/7 - (-1 + (-27)\/(-21)). Suppose z = j - 45 + 32. Calculate the highest common factor of y and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 6*y - 4. Let r be u(5). Let w(k) = -k - 17. Let l be w(-19). Sort r, -4, l, 18 in descending order.\nAnswer: 18, l, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 533 + -557. Let l(w) = 6*w**2 + 24. Let i(o) = o**2 + 0*o**2 + 1 - 6 - 2*o**2. Calculate c*i(k) - 5*l(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and 2.9854567.\nAnswer: 3.0054567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u - 18. Let d = -24 + 44. Calculate the smallest common multiple of d and b(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Suppose 2*a = -0*q + 2*q + 2, 0 = -2*a - 2*q + 14. Suppose -j + 26 = a*n, 4*n = 5*j + 11 + 3. What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 - 11*l - 1. Calculate the remainder when k(-8) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 9. Calculate f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 94*g**2 - 233*g + 6488. Give n(46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/5 - 43\/10. Which is the biggest value? (a) -2 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*l + 458, 0 = 2*l + 4*o - 2*o - 284. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63080807 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 26*c + 1862. Let k be y(58). Let h(n) = n**3 - 3*n**2 - 16*n + 16. Give h(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**7\/720 + q**5\/30 + 2*q**2. Let f(i) be the third derivative of b(i). Let g(r) = 2*r**2. Determine g(f(n)).\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 769025086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -4 (c) 76 (d) 397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**6\/180 + 7*m**5\/60 + 5*m**3\/3 + 30. Let a(j) be the third derivative of c(j). Determine s so that a(s) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + (-3 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12264 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.9. Let a be 1\/((-33)\/1386*-21). Sort a, 4\/7, 0.3, m.\nAnswer: m, 0.3, 4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0345 + -0.0345. What is the closest to g in -5, -1\/6, 16, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -45*v**2 + 5*v - 4. Let d be r(1). Find the common denominator of (d\/(-4))\/((-546)\/(-143)) and -26\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400699 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: Is 35898535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248001*c**2 - 171473*c.\nAnswer: -496002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:05 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(6\/(-135)*-5). Suppose 32*m - 2*l - 11 = 29*m, l = m - 3. Solve -4*n + o = -m*f, 2*n + 3 = 5*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p - 228. Let c be k(15). Let n(t) = t**2 - t - 1. Let q(g) = g**2 - 1. Give c*n(o) + q(o).\nAnswer: -2*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.030485 and -2.\nAnswer: -0.06097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601201.8ug to nanograms.\nAnswer: 601201800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -17 + 17. Suppose -t - 18 = 4*m, 7*t - 11*t - m + 3 = u. Solve t*i = -6*i + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, a: 4}. What is prob of picking 3 a and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3026, -6061, -9096, -12131?\nAnswer: -15166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/27, -6\/5, 252?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w. Let d(j) = -j - 3. Let r be d(-5). Let u(y) = -r*y + 5*y - y. Determine v(u(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1609, -3212, -4811, -6406, -7997, -9584, -11167?\nAnswer: -12746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, -32, 5, 7, 3 in decreasing order.\nAnswer: 377, 7, 5, 3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -784, -783, -782, -781, -780?\n\"Answer: k - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/60 - 17*r**2. Let v(u) = -32*u + 59*u - 29*u. Calculate v(s(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-286)\/(-110) + (-2)\/(-5). Suppose 1 = -4*b + 2*b - m*i, -3*b = -2*i + 8. Let t(p) = p**2 - 2*p + 1. Determine t(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1594268154 and 5748?\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a6299 (base 12) in base 11?\nAnswer: 11195aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 582, 61.8, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -6\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**7))\/v*v)**(3\/11) assuming v is positive.\nAnswer: v**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6012\/5010*35\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169052*g**3 + 197345 wrt g.\nAnswer: -507156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5435.436813 - 0.18.\nAnswer: -5435.616813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27324 and 18?\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w + 7. Let m be 495\/75 - 4\/(-10). Let q be x(m). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 1234*m**2 - 59323*m + 145637. Determine j(1184).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -408211.4\nAnswer: 408210.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 450568\nAnswer: -5\/450568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31330 divided by 2.\nAnswer: -15665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -2\/7 (b) 1 (c) -0.089 (d) -0.1 (e) -26\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqjqq. Give prob of picking 1 j and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*g = -0*a - 17, -5*g - 25 = -5*a. Calculate the highest common divisor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + m - 13, -13 = 5*m + 2. Suppose 4*l + l = 20. Suppose 206 = 3*w - l*u + 66, 4*u = 2*w - 96. What is the highest common divisor of w and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109624 - -109603. Let x be 6\/9*-3 + 7. Suppose y + 4*a - 2 = -3, x = 2*y + a. Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 13.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11205, -11174, -11123, -11052, -10961?\n\"Answer: 10*o**2 + o - 11216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1403*l + 3. Let c(b) = -5607*b - 12. Calculate -4*c(p) - 15*v(p).\nAnswer: 1383*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.427 - 23.673. Let w = 24 + q. Which is the closest to 3? (a) 3 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (275\/30 + -9)\/((-2)\/8). What is the nearest to x in 5, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1071*g**4 + 126?\nAnswer: -4284*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25563369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15342627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 21 = -3*g, 31*k - 29*k - g - 1 = 0. Factor 7\/5*d**2 + d**4 - 14\/5*d**k + 0 + 2\/5*d.\nAnswer: d*(d - 2)*(d - 1)*(5*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3085 is divided by 1539.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 y when four letters picked without replacement from hhvlhyhhhvy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3441*s - 15 - 10325*s + 3445*s + 3447*s.\nAnswer: 8*s - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.622 times 0.5?\nAnswer: 0.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*k = -48. Let p be ((-4)\/12)\/(2\/k). Differentiate -p - 9 + 20*g**4 - 6*g**4 with respect to g.\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*x - 240 = 159*x + 168*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10892 and 224?\nAnswer: 87136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a tonne in kilograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 + 3*v + 4. Let l be r(4). Suppose 2*w + w = 0. Let o(p) = p + 12. Let y be o(-9). Solve w = y*u - 5*q + 25, 4*u = -q - 2 - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/5 + 3912*v**2 + 156576*v\/5 + 313216\/5 = 0.\nAnswer: -4, 9788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*t**2 - 49248193*t + 49248195*t - 11*t**3 + 1 in the form j*t**3 + n*t**2 + y*t + w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-20) + ((-24)\/64)\/(18\/4164)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from dzzdtcfcczd.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-3) + 4\/(-6). Let u be (46\/44 - 420\/770)*0\/1. Solve -5*k - 4*l - 17 = u, -l = k + 2*k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6872186 divided by 1?\nAnswer: 6872186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 20384406.\nAnswer: 40768812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 4*a)*(-9 - a + 9) + a**2 - a**2 - 2*a**2 + (-a + 2 - 2)*(-a + 0*a + 2*a) + 5*a**2 + a**2 - 4*a**2 + 3*a**2 - 5*a**2 + 4*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - 31*y**2 - 55*y + 735. Calculate h(10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 8}. Give prob of picking 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/360*10)\/((-402)\/8)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -49. Let c(n) = -n**3 + 12*n**2 - 10*n + 9. Let j be c(11). Let l = i - j. What is the remainder when 24 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*z - 6*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69666 - 65738 - 76587 = 5917*a + 12855 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-42) + -3)*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1050 + -7362\/7. Let q = -155 - -174. Suppose 1 - q = 6*t. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.064*0.5\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = k + 8, 16 = 2*q - 3*k. Calculate the least common multiple of 18 and (-4 + 36\/8)\/(q\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -46074 divided by -15358\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 25 = m + 1, 0 = 3*j - 4*m + 50. Let x = -1 - j. What is the remainder when 23 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(sqrt(42)\/sqrt(6)))\/(sqrt(24)\/sqrt(8)*-3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 - 12111122210?\nAnswer: -12111120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l - 1. Give s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23 + 0 + 3*s + s + 2*s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2028 and 319917.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxyxxyyyxyyy. Give prob of picking 2 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 16 = 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1762.735cm?\nAnswer: 17.62735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 933*(-8)\/60. Let l = -125 - d. Let j = 1044\/35 - 147\/5. Which is the second biggest value? (a) 0.5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 25*h - 104. Calculate w(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171 minus 15?\nAnswer: -15.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169546447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (-15 - 2) + 24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -353536 <= -353541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1111 + 550. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3090 by -5.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1417432*g - 5669680. Give v(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkd. Give prob of sequence ddk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 212.8. Which is the closest to 3\/2? (a) 1 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185871608 a multiple of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30240 divided by -420\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29099150?\nAnswer: 2, 5, 581983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4 - 309*o**3\/2 + 570*o**2 - 4*o - 110. Suppose d(u) = 0. What is u?\nAnswer: 5\/4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*w - 18, -3*x - x = -w + 4. What are the prime factors of 2*((-19)\/x - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 2 f when four letters picked without replacement from btrnbtfctnbfbbrnbn.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -18*d - 4 - 5 + 3 + 17*d. Let y be u(-14). What is the units digit of (0 - -44)*2\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -3, 450 in descending order.\nAnswer: 450, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 611+3.8\nAnswer: 614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-744)*234*8\/12*-2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-9) + (-5 - (0 - 3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.2 * 0.07.\nAnswer: 1.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2595, -2744, -2893, -3042?\n\"Answer: -149*f - 2446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 7*f**3\/3 - 7. Let u(m) = -2*m. Calculate p(u(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 1, w: 2, g: 1}. Give prob of picking 2 w, 1 g, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = -3*u + 5, u = 3*o + 7. Let q be (-20 - u)*(-145)\/20. Let m = -3133\/18 + q. Calculate the common denominator of -43\/12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = v, 0*q + 2*q - v = 4. Suppose 3*c - q*s + 4 = 3, 3*c - 5*s = -2. Which is greater: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340779\/143 + -2383. Let f = 27\/572 - b. Is f equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f**4 + 12545*f**3 + 1285245*f**2 + 47751795*f + 605350395 = 0. Calculate f.\nAnswer: -2041\/4, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7536, -1, 1, -3 in increasing order.\nAnswer: -7536, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 232 - 470 + 5*f**2 + 1854 - 3*f**2 - 4*f**2 as h + b*f + m*f**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1444, 4, -4 in increasing order.\nAnswer: -1444, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -0.00443.\nAnswer: -0.002658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 15 (d) 0.3 (e) -5 (f) 23\/73 (g) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.1 (b) 0.6 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4471.179393 to 1 decimal place.\nAnswer: 4471.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(153)\/sqrt(9) - sqrt(102)\/(sqrt(30)\/sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0 - 1 + 3)*(4*o - 19*o + 7*o)*(-o + o + 4*o).\nAnswer: -64*o**4 - 64*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38433265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8553 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8 and ((28\/(-950))\/(54 - 55))\/((-3)\/35).\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1081954*j + 4327899. Determine x(-4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520892 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**8\/840 + o**4\/24 - o**3\/6 - o. Let s(f) be the second derivative of x(f). Differentiate s(u) with respect to u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1924, -7310, -16262, -28780, -44864, -64514, -87730?\n\"Answer: -1783*d**2 - 37*d - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3\/4 + 33*u**2\/4 + 9*u + 3.\nAnswer: 3*(u + 1)*(u + 2)*(3*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8722867 to the nearest ten thousand.\nAnswer: -8720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2\/9, 1, -1\/3, 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87517 is divided by 149?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/5 - 1392*m**2\/5 + 5556*m\/5 - 5552\/5 = 0?\nAnswer: 2, 1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - (7 - 0)) + -8 - -4) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 + -0.0651061.\nAnswer: -0.2151061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5. Suppose -6*o - 50 = -o. Let s = 13 + o. Let x(u) = -u**2 - 6. Let j(q) = s*f(q) - 2*x(q). What is the first derivative of j(a) wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.11 + 0.11. Let l = 33308.8 + -33309.800015. Let b = a - l. What is b rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.344 and 399.\nAnswer: -137.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p + 864 = 119*p - 45*p. Solve p = -2*y + 44 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-3\/5)\/k))**(-12))**(2\/27)\/((k\/(k**(-3\/4)\/k)*k*k**(2\/27))\/(k\/(k**(1\/5)*k))**0) assuming k is positive.\nAnswer: k**(-3793\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13773, 27541, 41309, 55077, 68845, 82613?\nAnswer: 96381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104246139, 208492279, 312738419, 416984559?\nAnswer: 521230699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/10 - 2*m**4\/3 - 4*m**3\/3 + m. Factor j(w).\nAnswer: -2*w*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:02 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4110358 and 2648.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -1 + 20 + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 - 3306*n\/13 - 1146420\/13.\nAnswer: -2*(n + 495)*(n + 1158)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + 2*k**2 + 2*k + 1. Let n be d(4). Suppose -5*s + 1 = -9. Solve -s*y + 12 = 2*y - 5*f, n*y - f = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*h - 31, 13*n = 16*n - 3*h + 27. Let j(l) = -l**3 - 7*l**2 + 2*l + 16. Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 8 = -3, 2*s + 4*c = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53728 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrn when three letters picked without replacement from {r: 2, n: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:23 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15. Suppose p*d - 2*d = 6. Sort d, -2, 1\/2 in descending order.\nAnswer: 1\/2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119668965 is divided by 2412?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/51 - (-2 - 87\/(-17)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6809932 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 1. Let v(k) = -2*k**3 + 12. Let h(n) = n**3 + 5*n**2 - 7*n + 2. Let g be h(1). Calculate g*v(o) + 3*f(o).\nAnswer: o**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 24*k - 8. Let f(x) = 6*x - 2. What is 9*f(g) - 2*s(g)?\nAnswer: 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from ccchhvbcvccc?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1750 and 0.4.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 0.18. Which is the closest to 0.1? (a) -2 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 12*a**2 + 20*a. Let z be f(-10). Suppose -d + k + 2*k + 901 = z, 0 = -3*k + 6. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 171, 4, 0.5, -0.02, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -51. Let c = j - -13. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(931) + -3).\nAnswer: -35*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-783)\/(-27))*51\/(-3519).\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/(x*x*x**20))\/x*x*x)\/x*x*x*x**(3\/17) assuming x is positive.\nAnswer: x**(-286\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -191*c**2 - 1106*c. What is t(-7)?\nAnswer: -1617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 13200*m**2 - 1081924*m + 1095120.\nAnswer: 4*(m - 3380)*(m - 1)*(m + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216060 and 90?\nAnswer: 648180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 9. Let p be k(-6). Suppose 0 = -r - 0*r - 2, 0 = -3*s + 4*r + 17. Differentiate -7*x**3 + 0 + p*x**s + 1 + 2 with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4, 4*m + 5*w + 3 = 5. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -265.77, -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 10*n + 27. Let o be x(-7). Solve 3*a = -3 - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1010774\/5 or -202154?\nAnswer: -202154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 21*r + 17*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11634.0388 - 11636. Let y = n + 8.9716. Let p = 7 - y. What is p rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -6\/5, -3\/7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373965767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(31\/(-279)). Calculate the remainder when 26 is divided by (-20)\/b*(7 - (-295)\/(-25)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - 5*a - 55 = 0, -2*a = 3*t - 18. Solve -t*d = 43 - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)*4) + sqrt(72)*-2 + sqrt(72))**2 - -4*-4*(-4 + (sqrt(50) - sqrt(2)))**2.\nAnswer: -5615\/8 + 512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1454536*q**3 + 727240*q**3 + 727242*q**3.\nAnswer: -54*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3854.8334 rounded to the nearest 10?\nAnswer: -3850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.15.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(209)\/(sqrt(22)\/(sqrt(16)\/sqrt(8))) + (sqrt(190) + (2*sqrt(190) - sqrt(190))*-5)\/sqrt(10)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342673 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 2. Let s(i) = 6*i + 1. Let f(k) = k. Let v(j) = -5*f(j) + s(j). Let z be v(3). Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4050633*i + 2920467 wrt i?\nAnswer: -4050633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9958, 39081, 87366, 154813, 241422, 347193, 472126?\nAnswer: 616221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980059260.\nAnswer: 2, 3, 5, 16334321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -10, 4, 3 in descending order.\nAnswer: 4, 3, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*d**5 - 4*d + 0*d - 112*d**5 wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - ((-30 - -8 - -5) + 30)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i**3 + 2*i + 1. Let g be r(2). Suppose -5*k + 2*l = -487, -k + 3*k = 3*l + g. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50375225 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.1 (c) -0.1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3575 and 64\/3575.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/sqrt(160) - 5*sqrt(14)\/sqrt(2).\nAnswer: -19*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737810043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(106\/6 - 8). Calculate the highest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3694.50716 - -3695.4. What is u rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -171*m**2 + 1044*m + 2993. Let z(w) = 255*w**2 - 1045*w - 2994. Let c(b) = 3*h(b) + 2*z(b). Find the first derivative of c(u) wrt u.\nAnswer: -6*u + 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 24 - 44)*((-1 + 0 - 1)*(-4 + 3 + 2) - 3 + 0 + 6)*(-5*p - 5*p + p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 7*l. Let c(f) = -8*f**2 - 5*f**2 + 2*f**2 + f**2 + 3*f**2. Give x(c(a)).\nAnswer: 98*a**4 - 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 - 2*r**2 - r. Let i be x(-1). Let y(c) = 9*c**2 + 7*c - 3. Let d(z) = -17*z**2 - 14*z + 7. Let b(w) = -6*d(w) - 11*y(w). Is b(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*b - 2 + (1 - 1 - 2)*(-3*b - 3*b + 8*b) + 19*b + 4*b + 12*b + (3 + 1 - 3)*(4*b - b - 5*b))*(-4 - 4 + 6)*(23 - 8 + 7).\nAnswer: -1188*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -54.5116815 and 2.\nAnswer: -52.5116815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -27. Let v(h) be the third derivative of -1\/420*h**6 + 1\/70*h**l + 0 - 1\/28*h**4 + 0*h - h**2 + 1\/21*h**3. Suppose v(i) = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.97 + 1.97. What is the closest to 5 in -3, -0.5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84 (b) 1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + (-11 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 15. Let f(t) = 2*t**2 + t + 29. Calculate 3*f(o) - 5*z(o).\nAnswer: o**2 + 3*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11060121 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -195. Let r = h - 88.9. Let g = r - 3. What is g rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 + 3*h - 2. Let f(y) = 18*y**2 + 10*y - 7. Determine -2*f(z) + 7*v(z).\nAnswer: 6*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b - 2*k + 2, 0 = -b + 4*k - 12. Solve -3*l - g - b = 0, 3*l + 28 = 4*g - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -815, -867, -953, -1073, -1227, -1415, -1637?\n\"Answer: -17*y**2 - y - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253873?\nAnswer: 127, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 12 - 5 = 0. Let n(q) = -q - 1. Let v(p) = -18*p**2 - 18*p - 42. Let d(h) = t*v(h) + 18*n(h). What is the derivative of d(g) wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/22 and 95\/568.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57.3 - 62.3. What is the third biggest value in -15, -3, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 64729348?\nAnswer: 258917392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395895.\nAnswer: 5, 279179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 2*b - 2*b)*(-3 + 1 + 0) + (3 - 1 - 1)*(-b - 3*b - b) to l*b + w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -533 (b) -3 (c) 2\/3 (d) 0 (e) -20 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 23. What are the prime factors of k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29645247643\/5444 - 5445490. What is the common denominator of -29\/44 and b?\nAnswer: 59884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 39 = -4*y - 5*t, -14*y - 81*t = -87*t + 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1409 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105\/2*k**2 + 117*k**3 + 21\/2*k + 459\/4*k**4 + 81\/2*k**5 + 3\/4 = 0 for k.\nAnswer: -1, -1\/3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98172 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3360)\/63*9\/(-6) is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934 + 4*y + 2*y**2 - 3*y - y - 2044.\nAnswer: 2*y**2 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(108) + sqrt(108)*-2 + 2 - sqrt(33)\/(sqrt(11) - sqrt(44)*3).\nAnswer: sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**3 - 9*y**3 - 20*y**3.\nAnswer: -45*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -32 - 5\/((-45)\/72). Let i be (3 - 19\/6)*b\/(-32). Put i, 1.1, 2\/5 in decreasing order.\nAnswer: 1.1, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m - 6. Let p(x) = 4*x + 2. Let b(u) = -u**2 + 18*u + 27. Let k be b(19). Determine k*p(q) + 3*f(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anaaanaaaaaanaaana. Give prob of sequence nnnn.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvfhqfqffqqfqffffq. What is prob of picking 2 q and 1 h?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -393. Suppose 0 = 2*r - 3*r + 258. Let q = x + r. What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4132962683106*y**2 - 3 + 3 + 4132962683101*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:47 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60845193 by 2669.\nAnswer: -22797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjfqw. Give prob of picking 1 w and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41167801 (base 9) to base 7\nAnswer: 330010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 11, 11\/41 in increasing order.\nAnswer: 11\/41, 11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -56*y - 30. Solve 0 = 5*c - 7*c + y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*w = 242 - 56, -4*u - w = -233. Let l(o) = o**2 + 15. What is the remainder when u is divided by l(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 4*q - 32 = -14*n, -5*q + 12 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 3*k)*(-1 + 4 + 7*k - 1).\nAnswer: 28*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**7\/70 - s**6\/40 + 3*s**5\/10 - 55*s**2. Factor n(h).\nAnswer: -3*h**2*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/31)*v*v*v**(22\/5))**(-27) assuming v is positive.\nAnswer: v**(-26514\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110101011111100000100 + 100?\nAnswer: -10000110101011111100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007 = -3*x + 251. Let z = -153 - x. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22218373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3\/4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2 - 4*p - 6. What is the remainder when x(-4) is divided by (-3)\/(-21) - 4\/((-84)\/123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(1*2)*103208\/125324?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*q**3 + 21*q**2 - 3*q + 30258.\nAnswer: -39*q**2 + 42*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -33493298.\nAnswer: 33493297.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117952819 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(175) - sqrt(175)*2)**2 - (-2*sqrt(175)*2 + 1)**2.\nAnswer: -2628 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*n - 6, n - 9 = -i - i. Factor -2*m**i + 0*m - 2*m - 2*m**2 + 2 + 2*m**3 + 2*m**3.\nAnswer: 2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o + 8*o. Let f(s) = -2*s**3 - 2*s**2 - 7*s - 4. Is 30 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 18*t + 16. Let i be b(7). Let k be (-68)\/i + ((-40)\/(-12))\/(-5). Solve 2*w = -4*j + 12, -k*j + j - 3*w + 14 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011 + 21?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 84 = -15*m. Let l be -4*(0 + 1) + m. Solve -4 = t + 1, 5 = l*c - t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 280?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1546 = -h, 3*h - 764 = -2*q + 255. Let j = q - 355. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272252.\nAnswer: 2, 29, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32487995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 13*i + 9. Let s be m(-11). Let n = -11 - s. Find the second derivative of n*v**2 - 2*v - 3*v + 4*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*((-11)\/(-3))\/(-11). Which is the nearest to -4? (a) -1\/4 (b) x (c) -22\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 1, 0, -40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 9 - 64 + 2*w)*(7 + 6 - 8)*(-1 + 4 - 1).\nAnswer: 20*w - 730","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -10. Calculate the lowest common multiple of 130\/6 - (-1)\/3 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 599 - 364. Let x = -229 + q. Solve -5*g = f + 9, 4*f = -5*g - 0 - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 26823*y**5\/10 - y**4\/8 - 4*y**3\/3 - 7*y**2. Let v be g(8). Round v to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 8*m + 3. Let s be u(-8). Let a = 5 - s. Solve -2*j - 4*p - 2 = 0, 2*p + a*p + 14 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -0.12, -4, -4967?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 7*n**2 + 9*n. Let s(z) = -2*z**3 - 3*z**2 + 4*z. Let m(v) = 2*v + 7. Let a be m(-7). Let d be -3 - (1 + 5)*-1. Determine a*s(w) + d*p(w).\nAnswer: 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 62\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 - -3)*-1*-3. Which is smaller: l or 44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 5946991\nAnswer: -20\/5946991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 12*y**2 - 25*y - 9. What is k(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = -2*k - 15, -k + 1 = -2*l. Let h be (-49)\/k + (-48)\/3. Let r(z) = -4*z**2 - z - 1. Let b(v) = 17*v**2 + 5*v + 4. Give h*r(y) - 2*b(y).\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 70\/9 of a week?\nAnswer: 78400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/5)\/h*h**(-9\/4) assuming h is positive.\nAnswer: h**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.82 + -0.18. Let r = c + 110.000126. What is r rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {r: 2, x: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d + 49*d + 1389 - 59.\nAnswer: 96*d + 1330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*k + 20, 4*k - a = -3 - 1. What is the second derivative of k*j**3 - 1 - 14*j**3 + 40*j + 6*j**3 + 0*j**2 - 2*j**2 wrt j?\nAnswer: -48*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 6, -3, 30 in decreasing order.\nAnswer: 30, 6, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -21.4 equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2061 and 11553737.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 6*q + 606 + 789 - 1993 + 598.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590811276 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:35 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 12*p - 30 - p + (-3 + 5 + 1)*(-2 + p + 2) - 4*p - 2*p + 5*p + (-p - 2 + 2)*(-3 - 2 + 7) in the form z*p + h and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 807.8076 hours?\nAnswer: 2908107360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 1. Let m(v) = -7*v - 1. Let k(r) = -3*h(r) + 4*m(r). Suppose -10 = 4*i + 2. Does 5 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.7 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 10 + 440 = 0. Let p = y - -77. Let c(k) = 47*k - 10. Is 14 a factor of c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431 - -433. Differentiate 2*c**3 + 6 - 11*c**2 + 42*c**r + 27*c**2 + 11 + 0*c**2 with respect to c.\nAnswer: 6*c**2 + 116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2429*k**4 + k**3 + 171*k**2 - 5608427*k wrt k?\nAnswer: 29148*k**2 + 6*k + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -1.02, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 91 = 21. Factor -33*y - 5*y**4 - 6*y - 1 - 90*y**2 + 139*y - 39 + h*y**3.\nAnswer: -5*(y - 2)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15812 - 377*m**3 - 361*m**3 - 364*m**3 + 15814 + 1130*m**3.\nAnswer: 28*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z**3 - 3*z**2 - 14*z**3 + 2*z**4)*(-2 + 2 + 2).\nAnswer: 4*z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33366 is divided by 4593.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43585.8 from -2.6.\nAnswer: -43588.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82534284.\nAnswer: 2, 3, 7, 327517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w)*(2*w + 0*w + 0*w) + 3*w**2 + w**2 - 2*w**2 - 6*w**2 + 4*w**2 + 7*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1377) + ((sqrt(1377) + (sqrt(1377) - (-3 + sqrt(1377))))**2 - sqrt(1377) - sqrt(1377)) - ((1*sqrt(102))\/sqrt(6) + (sqrt(204)\/sqrt(300))**2).\nAnswer: 44*sqrt(17) + 34633\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49243\/(-115)*(6 + -191) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + ((sqrt(84)*1 + sqrt(84))*4 - sqrt(84)) + sqrt(84) + sqrt(84))\/sqrt(12) + 1.\nAnswer: 1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33010 (base 4) to base 16.\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:03 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -75*n**3 - 5\/2*n**2 - 83 + 225*n + 5\/4*n**4. Factor z(d).\nAnswer: 5*(d - 45)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 2, -12, -26, -40, -54?\n\"Answer: -14*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-f - 3*f + 3*f) + f + 4*f + 4*f)*(-11*f - 2*f + 2*f).\nAnswer: -110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 + 0*y**4 + (498*y + 2 - 25*y**3 - 498*y)*(-156*y - 2*y + 41*y).\nAnswer: 2923*y**4 - 234*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68544 - 102592. Let m = 107648 + d. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:26 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.6*4.\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-252)\/(-840)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.0749184.\nAnswer: 0.02247552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 2. Calculate the smallest common multiple of g(-4) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 256 in descending order.\nAnswer: 256, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-9)\/(-21))*1620\/(-189)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*c + 90, -k - 5*c + 43 = 6. Let a = 99 - k. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 63*o**2 + 45*o + 8. Determine x(1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + 8?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-20))\/(21168\/(-784)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 400839936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.33. Let x = m - 0. Let h = 0.01 + 0.19. Which is the closest to -0.1? (a) 5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 305 in -0.5, -6, 892, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let j(m) = -69*m + 46. Let a(f) = -2*f + 1. Let y(w) = 46*a(w) - j(w). What is o(y(c))?\nAnswer: -92*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -521 + 498.7. Let d = -40.2 - u. Let n = -18 - d. Are n and 0.24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.833204 * -0.5.\nAnswer: 0.416602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 7*n - 1. Suppose -63 = 6*t - 33. Calculate u(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 2, z: 1, t: 1}. What is prob of sequence ggtl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 4539 and 4479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 5 - (199 + -198).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 5. Let n(g) = -g**2 - 6. Let v(c) = -3*i(c) - 2*n(c). Let r(p) = -2*p**2 - 7*p - 7. Give -3*r(b) + 7*v(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-29088)\/(-10))\/16*150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (12\/(-30))\/((-8)\/20) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 4*(sqrt(448) - sqrt(448)*2) + (-1*sqrt(448) - sqrt(448))*2 + sqrt(448))**2.\nAnswer: -43954 + 1120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 9:22 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5325)\/(-175) + -30)*14\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1271*m + 1279*m - 3*m**2 - 2550*m as u*m**2 + k + d*m and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204003\/5 - -40803. Find v, given that c + 2\/5*v**2 - 14\/5*v = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1393604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14445*b**2 - 209*b + 36624629.\nAnswer: 28890*b - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*m**2 - 3*j**2*m + 172205*j*m**2 + 158246*m wrt m?\nAnswer: -8*j**2 + 344410*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:28 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/2 - r**3\/6 - r**2\/2 + 59*r. Suppose 0 = 2*b + 2*p + 12, -p - 2 = -3*b - 0. Calculate x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29471\/4 < -7368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0832 (b) 0.3 (c) 256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 123032 (base 4) to base 9\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*u**3 - 124*u**3 - 20*u**5 - 2*u**2 - 73 + 250*u**3 wrt u.\nAnswer: -1200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 6*i + 7. Let y be f(1). List the prime factors of 2*(-2781)\/(-4) + y\/(-6).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -110, -1, -606 in ascending order.\nAnswer: -606, -110, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 163049244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 2, n: 5, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5 + 4*t**4 + 266*t**3 - 268*t**2 - 528*t = 0.\nAnswer: -11, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/16 - (13\/4 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819484, 1640703, 2461922, 3283141, 4104360?\nAnswer: 4925579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210120 (base 5) in base 12?\nAnswer: 3bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -4.9. Let k = 9 - 12. Let n = h + k. Which is the closest to -0.1? (a) n (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 22 = -5*c, -6*c + 5*c - 4*u = 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 3*x + 4. Let b be n(4). Suppose 11*d + 2*d - 130 = b. Suppose d*f - 254 - 76 = 0. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255367\/22 - -11610. Find the common denominator of o and 41\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 463590 and 75245?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 10*q**2 - 18*q + 4. Let s be (24\/(-11) - (-52)\/286) + -10. Give o(s).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-7))\/((-138)\/(-644))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1184 and -107?\nAnswer: 12.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqlllqaffq. Give prob of sequence aql.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -22*a**2 + 287*a - 11. Let u be g(13). Calculate the highest common factor of u and 2302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 407 - 4?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 54*z**2 - 51*z - 24. Give i(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/135 - 11*c**5\/90 - c**4\/3 + 550*c + 1. Let m(p) = 0. What is p?\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 23. Let s be u(0). Let x = 38 + -70. Let w = s + x. Put 0, w, -2 in ascending order.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 11, 30, 67, 128, 219, 346?\n\"Answer: b**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - -4)) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3616825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5543.72247 rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let q(w) = 158*w**2 + 22*w. Calculate q(a(z)).\nAnswer: 158*z**2 - 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4aa (base 11) to base 6.\nAnswer: -2444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -c475644?\nAnswer: -c475632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - 613\/4. Is u >= -15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*q + 1469, -q + 160 + 125 = -2*y. Let r = 372 - q. Calculate the remainder when 312 is divided by r.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**5 + 96*v**4 - 616*v**3 + 432*v**2 + 620*v - 528 = 0.\nAnswer: -1, 1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 655955327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*j, -3*j + 2*i = 95 - 96 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74212741 and -4.\nAnswer: -74212745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 22295 = 5*c - 878, 0 = 3*m - 3*c - 17400. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:52 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-4)\/(-10)*-1. Suppose -2*q = -3*o - 13 - 3, 2 = 5*q + s*o. Is (2*4\/2)\/q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 + 5*l. Let d be m(-6). Let r = 2 + d. Suppose 4*a = -y + 19, -r*y = 2*a - 4*y - 6. Sort -1, 4, a in descending order.\nAnswer: a, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = -g. Does 9 divide ((-2)\/g)\/(2\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10678\/181 greater than -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2181576*g**2 - 63*g - 114836395 wrt g?\nAnswer: -4363152*g - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 5685760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14450541509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 207 = 4*l + 2*v, -2*v = 5*l - 230. Suppose 4*f + l = 4*t - 0*t, -2*t = -3*f - 22. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143111*f + 143064*f - 94 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 953*s - 300151. What is f(315)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4678904379*g**2 - 4678904379*g**2 + 15*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8840 + 8844. Which is the closest to 3? (a) g (b) -22 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.1, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/3*p**3 - 1 + 5\/2*p**2 - 3*p. What is h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 2 - 29 = 0. Let v be x*(-8)\/2 + 6. What is the highest common divisor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1232461952\nAnswer: -1232461952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*g + g - 74, 0 = -2*g - 4*y + 28. Suppose 5*b + s = g - 5, -b = -s - 5. Let o(t) = -t**b + 4*t - t + t**2 + 2*t**3 - 2*t**3 + 1. Give o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3014071 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 1. Let p be v(-2). Let r = p - -5. Find the second derivative of r*y**5 + 2*y**5 - y - y wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 3*g**2 - g - 4. Let d be 8 + 40\/(-48)*6. Calculate n(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 9:15 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(224\/12))\/((-53)\/(371\/(-21)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, y: 1, m: 5, l: 2, h: 3}. What is prob of sequence as?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-8040)\/(-335)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107905\/12 + -8986. Let y = 19\/3 - a. Let w be 78\/65*2\/(-6). Is y >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1675*z + 11730. Let a be n(7). Solve -4*u - 16*i = -13*i + 27, -a*u + 5 = -4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 5*a + 2 + 7*a**2 - 9*a**2 - 3 to z*a + c*a**2 + n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966292.\nAnswer: 2, 1241573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167, 177, 193, 215, 243, 277, 317?\n\"Answer: 3*c**2 + c + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 2\/9, 27\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*x**4 + 2*x**2 + 191 wrt x.\nAnswer: -56*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 4. Let r(s) = -s**2 + 10*s - 6. Let o be r(8). Suppose -3*i = 5 + o. Calculate u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2351516 by 76.\nAnswer: -30941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 28*s + 56. Let a be d(12). Suppose -2*l = -4*v - 14, 5*v - 2*l - 7 = a*v. Put -2, v, -5, 0 in descending order.\nAnswer: 0, -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1325*g - 1331*g = 264. Let i be (-231)\/g + (-3)\/12. Put 26, i, 0 in descending order.\nAnswer: 26, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - 0.04. Let g = -16 - -11. What is the closest to 4\/5 in 3, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 5*x**2 + 6*x. Let i be u(4). Suppose -l - 8 = -3*o, 0 = 2*l + o + 1 - 20. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (636\/24 + -26)\/(0 + 81\/90).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 15. Let r be c(0). Let j(k) = k - 16. Let z be j(r). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(29\/4)\/(l\/(l*l**(1\/4)*l*l*l*l)*l)**11*l**(-1\/7)\/(l*l**(1\/10))*l**(1\/6)\/l*l*l**(-2) assuming l is positive.\nAnswer: l**(13723\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 1. Let h be x(-2). Let i = -0.989 - -0.029. Let o = i + -0.04. Which is the closest to o? (a) 0.1 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.609 rounded to one decimal place?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45502783267 - 0.27.\nAnswer: -45502783267.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-2 - -6) + (-84 + 99 - (-1 - -18))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 6293910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -298 + 300. Solve c = 12*s - 11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 37*v**3\/3 - 5*v**2\/2 + 4*v - 7. Let h(f) be the first derivative of w(f). Is h(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2\/5 - 384*w\/5 - 9216\/5 = 0. Calculate w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 38099*i**4 - 2365085*i**3 - 34232401*i**2 + 75712448*i - 39076864 = 0. What is i?\nAnswer: -32, 1, 38161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b - 51*b + 57697 - 57697.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -243373000 to the nearest one million.\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 26 = -m, 134*m - 3*u = 139*m + 46 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 97\/194*-8*2\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)\/v**(-7)*v**(-1)*v*v**3*v*v assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 269271 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2104*b - 3*b**2 + 44*b**2 + 2104*b + 0*b**2.\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931*y**3 - 3 + 2*y + 3 - 466*y**3.\nAnswer: 465*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, -1\/3, -3, -1\/14, -1.5, -13464?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9475, -22566, -39265, -59572, -83487, -111010, -142141?\nAnswer: -176880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -7*b + 6*b. Suppose 34*m - 19060 + 5086 = b. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.57 + 113.57. Are d and -4.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*c - 4*m + 73, 3*m + 16 = 2*c. Suppose -2*g - 2*o = -2 + 6, 0 = 3*g - o - c. Solve -11 = -3*j + 3*w + 2*w, w = -2*j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12414*k**5 + 11732*k**3 - 91*k - 139145?\nAnswer: -248280*k**3 + 70392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 12*b + 10. Suppose 2*o = 26 - 4. Let a be r(o). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from wtmgxgtmwttgggtgzt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 14*u**3 - 8*u**2 + 3*u - 3. Let k(x) = -9*x**3 + 5*x**2 - 2*x + 2. Suppose -b = -0*b. Let a be b + -3 - -14 - 3. Give a*k(f) + 5*m(f).\nAnswer: -2*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose 0 = -0*b - p*b + 388. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 2. Let n be c(4). Let g be ((-18)\/(-8))\/((-15)\/(-40)). Let a = n + g. Is a at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a - 40. Let x(r) = 3*r**2 + 7*r + 10. Let u be x(a). Suppose -2*i + 332 + u = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from rrmlrmmrrlfiir.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*q = -2, 8*q = 3*g + 3*q + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8970*d**3 - 2*d**2 - 16*d - 12. Let g be h(-4). Round g to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8821 = -4*h, 2*l - 1029 = -2*h + 4855. Suppose -3*i - 872 = -c, -l = -3*c - 3*i - 283. Suppose 6*g - c = -314. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/((-50)\/4))\/(1\/145). Is b at most -862\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 8*l - 2*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**(-1)\/c))\/c))**(9\/7)*c*(c*c\/c**(-1))\/c*c*c**(1\/3))\/(c\/((c**(-1\/11)*c)\/c)*c*c*(c**7\/c)\/c)**25 assuming c is positive.\nAnswer: c**(-46021\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3080.998267 - 3081. What is v rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-53)\/(0 + -4 - -3). Suppose 9 = -4*z + g. What is the lowest common multiple of z and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119584411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 + 16*k**3 - 4*k**2 - 16*k = 0. What is k?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, 0, -6696 in descending order.\nAnswer: 5, 2, 0, -1, -6696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355984 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 80808.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2626915 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 8. Let s be b(-6). Let f(w) = w**3 + w**2 - 2*w - 35. Let n be f(0). Let d = s - n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267.1 and 62833?\nAnswer: -16782694.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let x(i) = -3*i + 13. Let d(p) = 2*m(p) + x(p). Let o(u) = 11*u - 7 - 2 - 10*u. Determine -5*d(a) - 7*o(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910.07g in milligrams?\nAnswer: 2910070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 37 + (-4 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-64) - (45\/(-225) + (-3)\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302824845 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 8*a = -0*c + 88 - 27, 4*c + 61*a = 484 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and -3 - (-165)\/57 - (-1334)\/38?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4274)\/150)\/((-8)\/20). Let h = 412\/5 - o. Calculate the common denominator of 2391\/(-462) + 8\/(-44) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = 2. Let i(w) = -47*w**2 - 2*w - 7. Let x(m) = -101*m**2 - 4*m - 15. Let a(f) = -13*i(f) + 6*x(f). What is the tens digit of a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77120624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 17*f**2 - 22*f + 36. Calculate t(18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/5 + 5228284*r\/5 + 3416869198082\/5 = 0?\nAnswer: -1307071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r + 40\/3*r**3 + 39 + 5\/4*r**4 - 30*r**2 - r**5. Find n, given that t(n) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6899.\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5\/7 + 584*m**4\/7 - 1132*m**3\/7 - 2904*m**2\/7 + 3456*m\/7 = 0.\nAnswer: -2, 0, 1, 3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 15. Suppose -121*t = -122*t + 4*u, 20 = -3*t + 2*u. What is m(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -260, -264, -270, -278, -288?\n\"Answer: -b**2 - b - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58777907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289.869 - 0.131. Let s = q - -290.0000157. Round s to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 21*c + 225, -c = -32*q + 35*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*5*(-3)\/15. What is the third derivative of -105*s**6 - 36*s**2 + 24*s**6 - 9 - 5*s**p + 11 wrt s?\nAnswer: -10320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 11*a + 47. Let h(x) = -x**2 - 2*x. Determine 5*h(c) + n(c).\nAnswer: -c**2 + c + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = 3*o - 76, -o = 2*m - 33. Let a be (-4)\/6 - (-78)\/o*66. Let f = a + -121. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/6*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, v: 2}. Give prob of sequence vm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-35)\/l**(2\/11))\/(l**(1\/17)\/((l\/l**49)\/l*l*l*l)))**(14\/15) assuming l is positive.\nAnswer: l**(-70896\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**3 - 21 - 45*k**3 + 28*k**3 + 15 + 6.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000203721497 to 7 dps.\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/2)\/2 + -2. Let s(u) = u + 3. Let g be s(-1). Suppose -5*m = -g*j - 19, -3*j = m - 4*j - 2. Put r, 4, m in increasing order.\nAnswer: r, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/17587 + -546205\/1477308. Find the common denominator of u and (-3)\/2*(-118)\/9.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 203086 + 203086 + 2*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c6e + 1?\nAnswer: -6c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7797*o - 2841. What is the hundreds digit of f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. What is the tens digit of (u - -1)\/((-2)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 869, 0 in ascending order.\nAnswer: -2, 0, 869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 76*o**2 - 241*o - 96. Determine j(-79).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1. Let f(u) = u - 1. Let c(t) = -f(t) + 3*v(t). Let j be c(5). What is the remainder when ((-2)\/(-8))\/(j\/(-8)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/10 - (-2)\/4. Suppose -5*r + a = -17, 8 = -2*a - u*a. What is the first derivative of n**r - 1 - 1 + 0 + 2*n**3 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddh when four letters picked without replacement from {d: 9, h: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - 7) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/17, -213679, 5\/4 in increasing order.\nAnswer: -213679, -2\/17, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4702 divided by -248\nAnswer: -2351\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(28) + sqrt(252))\/sqrt(7))\/((2*sqrt(128)*2 - sqrt(128)) + sqrt(128))*4)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d**3 - 6*d. Let z(q) = q**3 - 9*q**2 - 14*q + 36. Let u be z(10). Let n(v) = 14*v**3 + 5*v. Determine u*n(j) - 3*f(j).\nAnswer: -11*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 15, 8, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from xyvvxxxyxxyyx.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9\/5)\/q**(-1\/2))**(-5)*((q*q*q**(-4\/9)\/q*q)\/q**(-4))**32 assuming q is positive.\nAnswer: q**(3317\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8330 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*k - 181, -12*s = -7*s + 2*k + 297. Does 11 divide s\/(4\/(-8) - (-3)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*u - 4*u - 10 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/7 (b) -63 (c) 16\/7 (d) 1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1424*4.\nAnswer: -5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 51*t - 74. Let c be a(-24). Let d(q) = 2*q + 2. Let m(f) = -12472 - 12474 + 24945. Let l be 2\/(-6) - 11\/3. Determine c*d(w) + l*m(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - 4 - -7 - -5*(-4 + 6). Sort 2, 207, r, -5 in decreasing order.\nAnswer: 207, r, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 7, 53, -1, -2150\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 11*n + 0*n**4 - 1\/20*n**5 + 4*n**2 + 1\/2*n**3 + 0. List the prime factors of l(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 33. Determine x so that 3*x**3 - i*x**3 - 12*x**2 - 2 - 2 - 12*x - 3*x**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 - -22.1. Let d = a + -21. Let n be (((-3)\/(-9))\/((-8)\/3))\/(-2). What is the closest to n in -1\/7, d, -1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76846 divided by 3493.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 8 + v + 8 - 3*v.\nAnswer: 6*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - r = 2*y + 4, 4*y = 4*r + 16. Suppose y = -5*x + 4 + 11. Suppose -x*q + 200 = 2*q + 4*h, 3*h + 21 = q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/106755 and -5.\nAnswer: 106755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3887 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 24. Let l = 70 - 77. Let r be h(l). Solve -2*s + 3 = -r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 872\/13 + 10\/13*n**2 + 882\/13*n.\nAnswer: 2*(n + 1)*(5*n + 436)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 - 5903280.7101?\nAnswer: -5903281.4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2521413 (base 7) to base 9\nAnswer: 544340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**3 - 6 + 5 + 5*v**2 - 3*v. Is l(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6*0 + 3. Put -0.4, -0.1, o, -3 in increasing order.\nAnswer: -3, -0.4, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -5. Let n(o) = o**3 + 4*o + 9*o**2 + 2 + 9 - 3*o. Let v be n(h). What is the highest common factor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 1087*m**2 - 1863*m - 843771. Determine o(-1086).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -5 + (-1 + -2 + -6 - -18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -111111010000111011?\nAnswer: -111111010000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7449334?\nAnswer: 2, 3724667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 22*f + 10. Let t(g) = -g + 1. Let o(z) = -l(z) + t(z). Suppose 3*d - 9 = 0, s - d - 240 = -260. Let m(r) = 8*r + 3. Determine s*m(h) - 6*o(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -365, -554, -743, -932, -1121?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -28*s + 60. Let o be x(2). Let j(y) = -2*y**2 - 11*y - 6. Let m be j(-5). Which is the third smallest value? (a) m (b) -2\/11 (c) o (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**3 - 9*d**2 - 4*d - 1. Let n = 24 - 26. Let c(l) = -2*l**3 - 2*l**2 - l. Give n*f(k) + 9*c(k).\nAnswer: -2*k**3 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/20 + ((-227601)\/(-1980) - 68)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 54\/2573041 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 5 + 4 - 20*n)*(-57 + 0 - 36) + 0*n + 0*n + n.\nAnswer: 2512*n + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1347 + -1377.16. Let k = n + 30. Let b = -0.16000056 - k. What is b rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1295961.\nAnswer: -1295961, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6803?\nAnswer: 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17.8 (b) 2.9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -31*r**3 + 13*r**2 - 2. Let a(n) = 16*n**3 - 7*n**2 + 1. Let h(j) = -11*a(j) - 6*q(j). Let p be h(1). Suppose 3*x = 4*x - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 3*f + 5*z, -14 = 3*f + 1356*z - 1358*z for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 73. Let u(d) = -330*d - 1904. What is the least common multiple of u(-6) and f?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1969947 - 2980587. Let s = 2969185 + -4879825. Let p = s - l. What is p rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2 - 67. Let b(v) = -v - 29. What is b(c(l))?\nAnswer: 2*l - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288892, -1156445, -2602366, -4626655, -7229312, -10410337, -14169730?\nAnswer: -18507491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8874?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -13 + 9 - (-2 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 531071*b**2 - 15931455*b + 119484225 = 0. What is b?\nAnswer: 15, 531041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + -3.1. Which is the biggest value? (a) 2 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147.78 micrometers in nanometers?\nAnswer: 4147780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let w = -1 + 0. Let b(f) = 3. Let n(u) = -5. Let v(z) = 6*b(z) + 3*n(z). Let c(h) = -h + 1. Let o(q) = w*v(q) + 3*c(q). What is o(a(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1828.1 take away 20.294?\nAnswer: -1848.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 9*r**2 + 8*r + 6. Determine c(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 >= 64623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Suppose -4*c - 5*x + 3*x + 10 = 0, -5*x + 15 = 0. What is the units digit of c + -1 + 8\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -2 (c) -4 (d) 2\/5 (e) -10\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykgdkykgkkk. Give prob of sequence gk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 25*c**2 - 27*c + 31. Let v be u(26). Solve 0 = z - 2 + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138.032 + -138. Let g = -0.232 + z. Let m(i) = -i**2 + 1. Let a be m(0). What is the third smallest value in 6, a, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 67*k**2 + 37*k + 3. Is j(47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 353 - 7 = 0. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 76) + 64 + -36.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -3. Let b be -1 + 3 + (-357)\/(-9). Let j = -43 + b. Sort k, j, 0 in increasing order.\nAnswer: j, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 41543*m**2 + 2*m.\nAnswer: -41543*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.273 in 0, 2, 1\/6, 37?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)*d**(-9)*d*(d**(5\/7)*d)\/(d*d*d*d*d\/d**(2\/41)))**(-24) assuming d is positive.\nAnswer: d**(83140\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 878479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 677 - 669 - (1 - -5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20103305 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2162 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6134 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1191752 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Let a(t) = 198*t. Determine v(a(r)).\nAnswer: 78408*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - d**4 + d**3 + (4*d**2 - 4*d**2 + d**2)*(d**2 - 2*d**2 + 0*d**2) + d**4 + 16912*d**2 + 16505*d**2 - 34682*d**2.\nAnswer: -d**4 - 1265*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*p + 6 - 61 = x - 6*x - 128, 5*p + 8*x - 40 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s + 1. What is t(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829695406.\nAnswer: 2, 43, 59, 101, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1597590 and -8\/1525?\nAnswer: 7987950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(3\/72). Let g be (a\/10)\/((-4)\/(-10)). What is the third derivative of 2*v**6 - g*v**6 + 0*v**6 + v**2 wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.055 and 45611?\nAnswer: 45611.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59508*t**2 - 71178 wrt t?\nAnswer: -119016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7431*a. Let v(s) = 12796*s. Give v(n(r)).\nAnswer: -95087076*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721121575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from asuasaaaasaaasasa.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d*d\/d**13 assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2055 in decreasing order.\nAnswer: 2055, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*u - 76*u - 101*u + 5 + 113*u.\nAnswer: -187*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (sqrt(3) - (sqrt(3) + 1))**2 - (-4 + sqrt(12)\/sqrt(4))**2) + 0.\nAnswer: -10 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/5 + 290206*f**3\/5 - 21054590401*f**2\/5 - 42110051424*f\/5 - 21055170816\/5 = 0 for f.\nAnswer: -1, 145104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**2 + 12*w - 28. Calculate the remainder when x(2) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 2 - 5*p**2 + 3*p**2 - 6*p**2 + 0*p**3. Let t be x(8). Suppose 5*k = -3*y + 4, 0 = -3*k + t*y - 0*y + 10. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from mmmmbmbbmbmmbbmbbmbm.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/3)\/((-3)\/18). Let v(k) = 2*k**3 + 18*k**2 + 17*k + 11. Calculate the smallest common multiple of v(s) and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 51*c**2 + 2. Let k be o(1). Differentiate f + k*f + 68 + 26*f wrt f.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/164093 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -5) + 3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - 1 - 3*q)*(2 - 6 - q - 9).\nAnswer: 4*q**2 + 53*q + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkyq when four letters picked without replacement from qoekiyq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5713261 - -4?\nAnswer: 5713265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27902?\nAnswer: 2, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 636*x + 1271. Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 1, q: 2, f: 3, a: 3, l: 3}. Give prob of picking 1 f, 1 i, and 2 a.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 50. Let r be h(17). Let c(p) be the first derivative of 0*p**2 - r + 0*p + p**3 + 1\/4*p**4. What is the third derivative of c(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 55 = 5*x, -2*l + 9 = -5*l. Which is bigger: -47 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2155, -3926, -4919, -4744, -3011?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -460 - -2191. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6215, -13795, -22745, -33065, -44755, -57815, -72245?\n\"Answer: -685*r**2 - 5525*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from aaqagggaaqsiy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10732, -0.2, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose b = -u + a, -12 = -4*u + a - 3. Suppose -p = 4*p + u*n + 9, -4*n - 12 = -2*p. Solve -5*c = -10 - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9838146 micrograms to grams.\nAnswer: 0.0000009838146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*b**4\/2 - 177811*b**3\/3 + 14048*b**2\/3.\nAnswer: b**2*(b - 878)*(405*b - 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19109 + -4?\nAnswer: -19112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 13) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = m. Suppose 0 = -0*u + m*u - 10. Let q(h) = 5 + h**3 + 3*h + 4*h**2 - u*h**2 - 5*h**2. Determine q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzzgzzggzggg. What is prob of picking 3 g?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000046711 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 5*j**6\/32 + 11*j**5\/4 + 41*j**4\/8 + 4*j**3 + 9*j**2. Factor x(h).\nAnswer: 3*(h + 8)*(5*h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/15 + 4\/15. Let r be 2\/3*54\/12. What is the third smallest value in r, -1\/5, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2142 + 78*s + 2142 to h*s + m and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496 by -2.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 8*v**2 - 3*v + 2. Suppose -6 = 3*t - 2*t. Let h be o(t). List the prime factors of (4 + h\/(-12))*3.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v - 2*v + 2 + 3. Let y be (-5)\/4 + (-99)\/(-12). Let x(h) = 3*h - 8. Let t(c) = y*k(c) + 5*x(c). Differentiate t(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 192 = 93. Suppose 5*h + 7*j = 6*j - 15, -h = -3*j + w. Let p(q) = -q**2 - 3*q + 4. Calculate p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/12 - 210*c**2. Let z(b) = -7*b**2 - 55. Give z(s(u)).\nAnswer: -28*u**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12667, 12797, 13077, 13567, 14327, 15417?\nAnswer: 16897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/2600 and -19\/2925.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424 - 308. Suppose 0 = 4*z + k - 124. What is the closest to z in -5, -0.2, -0.3, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 43\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y - 15. Give x(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 - 7 = 0. Suppose 5*j + 2*u + 25 = 0, 21*u + 25 = -5*j + 20*u. Let b(m) = -2*m - 3. Let w be b(-2). Sort w, c, j in descending order.\nAnswer: w, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*a**4 + 1 - 92*a**2 + 91*a**2 + 2*a**3 + 93*a**4 in the form o + y*a + v*a**4 + j*a**3 + p*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 29 = t + 46, -93*t = 4*h - 43*t - 26 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023046 rounded to 7 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 + 5*f + 5. Let v be n(-5). Let l(t) = 16*t - v*t**3 - 16*t. What is l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p - 5. Let b(k) = k. Let t(x) = -4*b(x) + i(x). Let a be t(5). Suppose -19182*r + 19147*r = -210. Solve -a*n + 25 = 5*z, -n + r = n + z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*f - 4346 = -333*f + 5716. Solve -10 = 2*j - 20*v + f*v, 15 = 5*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffaafa. Give prob of picking 3 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/((-3)\/(-4)). Let a = n - -5. What is the remainder when 15 is divided by 1 + a - 12\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 0*m**4 - 6*m**4)*((-3 + 1 + 1)*(-3 + m + 3) - m + 0*m + 0*m)*(0 + 4 + 3).\nAnswer: 56*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*i - 9 = 0, -3*o + 4*i = 2 - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 13326?\nAnswer: 13325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341189 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 102147?\nAnswer: -40858.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 18. Let r(q) = 1 + 17*q + 0*q**2 + 2*q**2 + 6 - 7*q. Let x be r(-7). What is the highest common divisor of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 1 + 1)*(-3*x**2 - 2*x**2 + 4*x**2) + 2*x**3 - 11*x**3 + 3*x**3 + x**3 - 2*x**3 + 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14260 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.1844\nAnswer: 0.14752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702143.\nAnswer: 13, 54011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*b + 264*b + 7 + 1 - 8.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {u: 1, d: 2, t: 1, m: 2, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(200)*1 + 2)**2 + (-3 + -1 + sqrt(200))**2).\nAnswer: -160*sqrt(2) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1543691 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/6)*t**(-2\/3)*t*t**18*t**(-1\/9)\/t assuming t is positive.\nAnswer: t**(307\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (53251\/8272)\/((-9)\/(-144)*-4)\nAnswer: -103\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1311278601009516 - 586093017343450829177\/446963. Let w = z - 3\/40633. Let t = w + 971. Calculate the common denominator of t and -3\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15821236121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(4\/(-2)) - -4. Suppose 0 = -4*j - t, -2*y - 2 = 3*j - 143. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 6*g - 2*g)*(2*g + 6*g + 5*g).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 5 - 38 - 25 + h.\nAnswer: -3*h - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) 3\/26 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*b + 8, 2*b + 12 = 2*r - r. Suppose 0 = -2*g, -2*c + r*g = -7*c + 4495. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22168 is divided by 2191?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/441*(-2)\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 8*q**2 + 4*q**2 + q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90595 from 174580.3436.\nAnswer: 83985.3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m + 299*m - 4981 = 135*m. Calculate the remainder when m is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 30*m + 90. Let b be c(28). What is the highest common divisor of b and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*i - 4*u, 0*u = -3*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 112*h + 358. What is k(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqxx when four letters picked without replacement from bxxqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*l - 252*l - 341*l + 103*l.\nAnswer: -445*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -202, -301, -400, -499, -598?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2355 - -7067\/3. Factor 2\/3*g**4 + k*g**2 + 2*g**3 - 4\/3 - 2*g.\nAnswer: 2*(g - 1)*(g + 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70330698 a multiple of 1422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 182*k + 8281.\nAnswer: (k + 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 162976*v**2 - 137*v + 270. Let y be t(2). What is y rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 divided by -481?\nAnswer: -1048\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 20, 3*i - 19 = -i - 3*a. Let s = 18 - 11. Let u be i - s\/(21\/(-6)). Solve -6 = -j - 2*q, 0 = -0*j + u*j + 4*q - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0794 and 7321486425.\nAnswer: 7321486425.0794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 19*n + 19. Let d be k(10). Let i(v) = 3*v**2 - 18*v - 23. Is i(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 31 = 2*r, -4*r - 3*w + 19 = 2. Calculate the smallest common multiple of 7\/(14\/r) + 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 7*v**2 + 8*v - 10. Calculate a(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 0.3295?\nAnswer: 0.8295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1002 to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**9\/60480 + r**6\/720 + r**5\/20 - 3*r**2. Let h(q) be the third derivative of c(q). Differentiate h(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 2613275*u\/4 - 2613277\/2.\nAnswer: (u - 2613277)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a58733 (base 14) to base 2\nAnswer: 10101010101101001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 186*a. Let j(f) = -f + 4 + 9 - 13. Give j(q(o)).\nAnswer: -186*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221063 is divided by 1073?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((40\/68)\/(-1))\/2. Is -1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 25. Suppose r = -i + 5*z + 90, -4*z = -5*z + 2. Is (36\/10)\/(30\/i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/4 - 22017*x - 44031 = 0. What is x?\nAnswer: -29354, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976809 and 9234?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1764*f + 9732. Determine m(5).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000501076132 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 51. Let g be z(-14). Solve 3*i = 9, g*i - 4 = 2*t + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let v(c) = c**3 - 14*c**2 + 16*c - 1. Let o be v(13). Let g = o - 36. What is i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124975 divided by 5\nAnswer: -24995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086665 a multiple of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 19 + 2 - 12 - 9 + 0*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - ((-81609)\/74790)\/(-11). Let l = 2\/2493 - a. Find the common denominator of 12\/16 + 370\/(-8) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19151056 and 28.\nAnswer: 134057392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 32148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 - 1\/20*k**5 - 1\/210*k**7 - 7\/240*k**6 + 0*k**4 + 0*k + 38*k**2 + 0*k**3. Let p(x) = 0. Calculate x.\nAnswer: -2, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -4517, 0.1, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20 - 34\/3*a + 22\/9*a**4 + 190\/9*a**2 + 134\/9*a**3 = 0. Calculate a.\nAnswer: -3, -1, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*b = 23, -4*g + 8*b + 122 = 5*b. Suppose -4*u = -5*c + 3*c - 340, 4*u = c + 344. What is the highest common divisor of u and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -198, -189, -180, -171?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154057278?\nAnswer: 2, 1109, 971171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v - 4. Let a be u(-4). Suppose 3*t + i = -0*i + 6, 5*t - 3*i + 4 = a. Sort t, -1, -2.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*(j\/(j\/j**(-1\/4)))\/j)\/j)\/j*j**6)\/((j**(-5)\/j)\/(j\/(j\/j**2*j))) assuming j is positive.\nAnswer: j**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (8 + -6) - (-10 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -108, -144, -152, -120, -36, 112, 336?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1229*q**2 + 427*q + 1. Let l(p) = 3685*p**2 - 1284*p - 4. Let s(b) = 2*l(b) + 7*m(b). What is the second derivative of s(o) wrt o?\nAnswer: -2466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82854 or 82692?\nAnswer: 82692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-11 + (-1833)\/(-104) - 2). Solve 27 = r*o + 138 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - -398. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 3*t**2 - 3*t + 3. Let m be b(2). Suppose -o = p + 107, 0 = -o + 2 + m. Let u be (p\/3)\/((-3)\/(-180)). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2092\/81588*8*3.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 6. Let d(y) = 2*y - 2. Let h be d(3). Suppose -l - h - 2 = 0. Let k be (-4)\/l - 104\/(-24). Give t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*f - 300 = 0, -2*f + 5 + 1 = 0. Let d be 520\/l + (-2)\/9 - 3. Suppose -33 + 81 = d*m. Calculate the greatest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130.211 + -367.49. Let b = 498 + v. Round b to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 71*h**7\/105 + h**6\/40 - 128*h**5\/3 + h**2 + 272. What is the third derivative of u(m) wrt m?\nAnswer: 3408*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0 - 3*k + 5\/6*k**4 + 0*k**2 + 1\/3*k**3 + 2\/5*k**5. Solve g(x) = 0 for x.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 363 + 68. Suppose -381 - j = -5*u. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93356, -186724, -280094, -373466?\nAnswer: -466840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -809*c**4 + 467.\nAnswer: -3236*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (-15 - -3) - (4 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 68, 69, 70, 71, 72?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70009397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120446 and 746964.\nAnswer: 2240892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369753697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**3*z**2 - 12*p**3*z + 13*p**2 - 14*p - 49*z**2 wrt p?\nAnswer: 24*p*z**2 - 72*p*z + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -179. Let r = -19 + p. Let u = r - -103.999838. What is u rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*w, 2*w - 10 = -f + 3*f. Which is the third biggest value? (a) f (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2531650*o - 2531682*o + 17*o**3 + 5063332*o.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)*v**(-6)*v*v**6*v*((v\/(v\/(v\/v**(-4))*v))\/v)\/v)**(-6\/31) assuming v is positive.\nAnswer: v**(-70\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.12 + -0.12. What is the closest to -2\/7 in -3, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1205700 to the nearest ten thousand.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 33) + -2 - -43?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from inioninonoinnoofnoii?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -7.77236.\nAnswer: -9.77236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:52 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/34*2*1485\/(-2970).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 132. Find the third derivative of 0*w**2 + 91*w**2 + 3*w**6 - 51*w**v + 36*w**3 wrt w.\nAnswer: 360*w**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*x = -24. Suppose x*p - 8*p = -15. Solve 0*n + p + n + n + n**2 - 6*n = 0 for n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**8\/560 - q**6\/180 - q**3\/6 - 11*q. Let y(x) be the second derivative of r(x). Find the third derivative of y(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48279344 and 24.\nAnswer: 144838032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67\/5 of a millisecond?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 13) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-342)\/(120\/(-20))*(-2)\/18*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 33*k**2 - 60*k + 15. Let m be b(31). Calculate the greatest common factor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/5 - -4)\/(1\/25). Let q(n) = -3*n - 57. Let y be q(l). Suppose -4*u - y = -5*u. Solve -u*o + 5 = -5*i, 1 = -2*i - 2*o + 3*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b5d (base 14) in base 8?\nAnswer: 257677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110321 + -223?\nAnswer: -111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 582. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 11545*z + 274200.\nAnswer: 5*(z + 24)*(z + 2285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/171 - (-72)\/38. Suppose -j*q = -78 - 4. Suppose -4*f + 5*x + 467 = -0*x, -4*f - 2*x + 502 = 0. What is the highest common divisor of f and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a + 8 = 0. Let d = a - -10. Suppose -5*z - 2*t + d*t + 9 = 0, 2*z = -2*t + 18. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = -4*i. Put 0.8, i, 1\/9, 4 in descending order.\nAnswer: 4, 0.8, 1\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/d)**(-7)*(d**(-1\/7)*d)**(-2))**(-7\/5) assuming d is positive.\nAnswer: d**(649\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:39 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143501296 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -360, -371, -380, -387, -392, -395, -396?\n\"Answer: w**2 - 14*w - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/17 (c) -1\/1448 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/10*120*5\/(-420)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 - 21704*x**2 - 649378*x - 627676 = 0?\nAnswer: -10822, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.2 - -47. Let n = a - -7.200000112. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 5*m**2 - 3*m - 12. Let f be o(-5). Calculate the highest common factor of 21 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 420788678 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -83, -1, 5, 4, -50 in decreasing order.\nAnswer: 5, 4, -1, -5, -50, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 284086606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 12. Let u be z(-4). Suppose -4*c + 428 = 5*p, -2*p - 3*c + 0*c + 174 = 0. Calculate the highest common factor of p and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24724, 24725, 24726, 24727?\nAnswer: 24728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -197*n + 1843. Give s(17).\nAnswer: -1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11091, 22323, 33663, 45165, 56883, 68871?\nAnswer: 81183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104256.\nAnswer: 2, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1147*z**2 - 123 + 232 + 0*z**3 - 109 - 1907*z - z**3 wrt z.\nAnswer: -6*z - 2294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*d**6 - d**5 + 10*d**3 - d**2 + 11936*d?\nAnswer: -5040*d**3 - 60*d**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8282*s - 1 + 16522*s - 7157*s to a + i*s and give i.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**6\/300 - x**5\/75 + 17*x**2 + 7. Find q, given that t(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a**3 - 25 + 4*a + 126*a**3 - 13*a**3 - 32 + 24*a**3.\nAnswer: 107*a**3 + 4*a - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.0177 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:12 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -361*c - 542*c + 356*c + 27891 - 2729 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x*x*x\/(x*x*x**(-1\/2)))\/(x**2*x)**(1\/55)*(x**(-1\/10)*x*(x*x\/x**10)\/x*x)**33 assuming x is positive.\nAnswer: x**(-12862\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -29010.\nAnswer: 1\/9670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k**3 + k)*(11 - 11 - 9*k**2) + (77*k**2 - 4*k - 150*k**2 + 74*k**2 - 3)*(-11*k**3 + 7*k**3 - 10*k**3).\nAnswer: -5*k**5 + 56*k**4 + 42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -24. Let s = 1 + -3. Let n = s - u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2) + -2)*-1. Let y = -3 + 2.94. Let j = y - 0.24. Which is the third biggest value? (a) -2 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325037*n**6 + 2*n**2 + 2*n + 925?\nAnswer: 39004440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 11. Suppose -k*u + 15*u = 400. Suppose u = -4*c + 260. What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllqqeoooqeq. Give prob of picking 1 o and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*l - 7 = 10, -2*z - 2*l = 2. Suppose -o + z = -29. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 - (-12 + (0 - 10 - -16))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1505 divided by 5.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 350*i + 3088. What is z(-50)?\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00133431 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254 + 4551 = 27*n. Which is smaller: 228 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5616893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1292*0.02\nAnswer: 25.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-125755)\/1995 + (-4)\/(-114).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) 2 (b) 3\/10 (c) -3 (d) 1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4511213 (base 8) to base 15\nAnswer: 190993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3639822?\nAnswer: 2, 3, 653, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 635*v. Let y(j) = 9*j - 3. What is g(y(l))?\nAnswer: 5715*l - 1905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:23 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/175*-20*((-35)\/30)\/((-2)\/66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17764 - -31570. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-730)\/(-6) + (-6)\/(-18).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 5*d - 15 = -4*n, -5*n = -2*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccrcrcccccccr. What is prob of sequence rcc?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/2*(-40)\/650*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 18. Is -115*b\/30*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2 - 2 + (-2*m**3 - 3*m**3 + 6*m**3)*(0*m - 2*m + 4*m) - m**4 + 0*m**4 - m**4 + 68*m**4 - 117*m**4 + 12*m**2 + 62*m**4.\nAnswer: 12*m**4 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 365. Solve 5*l + w = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -13*n + 44. Let g be 1\/(2\/n) - -48*2. Is g equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -469198.\nAnswer: 2\/234599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 19340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21944079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -454 + 467. Calculate the remainder when u is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16997962+10\nAnswer: -16997952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -63 - 221009\nAnswer: -221072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/((w*w\/(w\/((w**(-1\/2)\/w*w)\/w)))\/w))\/(w**(2\/7)*w*w*w**(1\/3)))\/(w**(-2\/3)*w**5)**(-23) assuming w is positive.\nAnswer: w**(4391\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x - 1. Let l be 336\/28*((-13)\/(-4))\/1. Suppose -6*o - l = -21. Suppose 2 = -4*d - 2. Let u(g) = 4*g**2 - 6*g + 1. What is d*u(j) + o*y(j)?\nAnswer: -j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4864.99996918 - -4865. What is f rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 57, 4, 6 in increasing order.\nAnswer: 1, 4, 6, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 8, e: 4, l: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-16\/11)\/(n**(1\/9)\/(n**(2\/31)*n)) assuming n is positive.\nAnswer: n**(5902\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042691206?\nAnswer: 2, 3469, 150287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/(p\/p**(-8)))\/p)\/p)\/p**(1\/12))\/(p*p**(1\/4)*p)**(-35) assuming p is positive.\nAnswer: p**(209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 - 286. Let i(t) be the second derivative of -1\/20*t**5 - t**2 + 1\/6*t**x + 0 - 1\/6*t**4 - 10*t. What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 1, z: 3, b: 3}. What is prob of sequence tl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 - 347 = 2*c. Let d(w) = -w - 1. Let q(t) = -2*t - 1. Let v(i) = -2*i. Let j(x) = 7*q(x) - 6*v(x). Give c*d(g) - j(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {r: 2, z: 7, f: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -2a8a72?\nAnswer: 2a8a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 3. Let j be k(5). Find the second derivative of -3*a**3 - a + 2*a**3 + j*a**3 - 4*a**3 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 1, -8, -16 in decreasing order.\nAnswer: 1, -8, -16, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from bhwhhwhwwwwwwhb?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 23*n - 310. Give i(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 7*u - 10. Let t(a) = a**3 - 14*a**2 + 15*a - 15. Let n be t(13). Let w(r) = n - 3*r - 11. Determine w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 530332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 10022\/8 + (-22 - 1691\/(-76))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3, -0.3, 0.19, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + b + 5 = 0, -3*b - 5 = 3*l - 20. Let r(v) = 3 + 2 + l - 5. Let n(z) = z - 3. Give -3*n(c) - 5*r(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -8. Let o be 3\/(-15) + (-2931)\/h. Suppose 0*a = 2*a - o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-3\/13))**(-1\/80)\/((o*o\/o**3*o**(1\/9))\/((o*o*o\/(o**(1\/3)\/o)*o*o)\/o**(2\/9))) assuming o is positive.\nAnswer: o**(9877\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utm when three letters picked without replacement from mutmmuttattmtmttata?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 17196.\nAnswer: 25\/4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4859 (base 11) to base 5.\nAnswer: -200411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - (-32)\/(-6). Let i(b) = -5 - 5*b**2 - 80*b + 44*b + 40*b - 9*b**3. Let f(j) = 14*j**3 + 8*j**2 - 6*j + 8. Calculate s*f(c) - 8*i(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j + 868 = 4*h, 5*j - 638 = -3*h. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-3*-6)\/(5*(sqrt(35)\/sqrt(5) + sqrt(7))).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixxii. What is prob of picking 1 i and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -76540266120?\nAnswer: 76540266119.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434386, 868794, 1303202, 1737610, 2172018, 2606426?\nAnswer: 3040834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -37. Suppose -q*o = -22*o + 2298. Let x = o - 818. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 23*m + 9. Let b be i(-2). Let p = -34 - b. Let q be (2\/1 - p)\/(3\/(-12)). Sort -5\/3, q, -2 in decreasing order.\nAnswer: q, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = y + 26, -y - 2*r - 88 = 2*y. Find the common denominator of (-616)\/y*(-27)\/(-72) and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(-3*j + 2*j - j) - 3*j**2 - 27 + 27 + (-j + 19 - 19)*(-1 + 2*j + 1).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 1141436180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 (base 4) in base 13?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-2 + 5*(3*1*sqrt(72) + sqrt(72) + sqrt(72))*1)*3).\nAnswer: -2250*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -3*(sqrt(78) - sqrt(78)*-2))\/(sqrt(6) + -1*sqrt(294) + sqrt(6)))**2 + 5*(3*sqrt(117) + (0 + sqrt(208))**2).\nAnswer: 45*sqrt(13) + 26832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.93 - 2.55. Let l = -409984 - -409985.6200069. Let i = l + k. Round i to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324294 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = 3*y - 53, 0 = 3*l + 2*y - 187. Let o = l - 29. Suppose -7*w + o = -20. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*14\/6)\/((-61271)\/(-157554))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256\/(-24)*(-12825)\/100 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.59\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 3*i**2 - 81*i - 38. What is the remainder when 3506 is divided by c(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14272 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/14 - (-18)\/(-63). Let q be 3\/6 - j\/2. Factor q*x**2 - 2\/5 + 2\/5*x**4 + 4\/5*x**3 - 4\/5*x.\nAnswer: 2*(x - 1)*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60511, -121079, -181647, -242215, -302783?\nAnswer: -363351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/3 + 2196259*h**3\/3 + 2196261*h**2 + 6588785*h\/3 + 2196262\/3 = 0. Calculate h.\nAnswer: -1, 2196262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68987 is divided by 188.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from wyjexrexjej.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 3, i: 1, o: 2, e: 1, p: 3}. What is prob of picking 1 i and 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let s(i) = 45*i**2 - 38*i**2 - 5*i**2 - 76. Calculate s(v(m)).\nAnswer: 8*m**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m - 19 - 22*m + 50*m to p + w*m and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -8, -2, 6, 16?\n\"Answer: r**2 + r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15576 + -14422. Let y = -23983 - -10981. Let m = y + o. Round m to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*j - 2*t, 0*j - 3*t = -2*j - 8. Suppose 0 = 13*k - 12*k - 5. Suppose k*f + 3*f + 40 = 0. What is the nearest to 1 in -1\/6, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 9*y - 2*y. Solve y*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16557432893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3660 and 406992?\nAnswer: 2034960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 495*a + 1003*a - 506*a = 88, 5*f = 11*a - 420 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.054359 and -0.015?\nAnswer: -0.000815385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1446, -5048, -10826, -18786, -28934, -41276?\n\"Answer: -m**3 - 1082*m**2 - 349*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6596 is divided by 169.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 53 = 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-348)\/54 + 6). Let q = -0.0681 + 0.5681. Which is the smallest value? (a) -0.2 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let k(o) be the second derivative of 11*o**6\/720 + o**4\/12 - 2*o. Let m(y) be the third derivative of k(y). Give s(m(w)).\nAnswer: -121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -36, -135, -326, -639?\n\"Answer: -5*c**3 - c**2 + c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 6 - 2*i + 10 + 4*i.\nAnswer: 2*i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -157, -258, -299, -256, -105?\n\"Answer: 4*g**3 + 6*g**2 - 147*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/15 and 2.0843 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43232 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*g**2)*(-g + g + g) + (1 + 1 + 2)*(2*g**2 + 9*g**2 - 3*g**2)*(-g + 5*g - 5*g) in the form d*g**2 + r + l*g + u*g**3 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 261 = -12*t. Calculate the remainder when t is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 - 80*h + 100. Let f = -17 - -24. Let u = -12 + f. Let k(q) = -8*q**2 + 53*q - 67. Let b(l) = u*v(l) - 8*k(l). Factor b(y).\nAnswer: 4*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*h - 1091*h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + -1 + sqrt(125) + sqrt(125) - 1*2*sqrt(125))*3)**2*6.\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1 (b) -3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - 10*n**4 + 5582*n**3 - n**2 - 363*n - 225.\nAnswer: -120*n**2 - 240*n + 33492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -79793?\nAnswer: -79802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8290855 centuries?\nAnswer: 8.290855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -26*q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 5*m**2 + 0*m**5 - 1\/24*m**6 + 0 + 0*m**4 + 5\/6*m**3 + 0*m. Differentiate t(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-18) - (-1002)\/(-36). Suppose 2*g - 378 = -g. Calculate the remainder when g is divided by (25 + a)\/(1\/(-11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 431.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 28*w + 163. What is the remainder when x(28) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2) + (8 - 2) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1320 and 15851?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -62. Suppose 0 = 2*h + s - 115, 0*h + 4*h = -s + 227. Suppose -w*p + h = 20. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/411 (b) 2\/15 (c) -5 (d) 3\/4 (e) -1 (f) 2068\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -129*c - 6. Let z be s(-20). Let y = -1410 + z. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/12? (a) -5 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/11 in -5\/3, 4, 1, 3\/7, 0.258?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84955702 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 13*r**2 - 15*r - 5. Let o be s(-14). Suppose 0 = -5*d + o + 11. Suppose -4*i = -33 - 27. Solve d*z - z = -i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-21 - -18)*40\/12)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 23842*b. Let n(y) = -2*y - 32. Calculate q(n(w)).\nAnswer: -47684*w - 762944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-62)\/8 + 0)*-1. Let a = j + -20. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3070\/26709*(-2)\/(-10)*-3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**6 + 6*g**3 - 8*g**2 - 6*g**3 wrt g?\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723815917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 10. Suppose 24*i = 72 + 48. Let f be k(i). Do -89 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (sqrt(176)*3 + 2 - (sqrt(55)\/((sqrt(5) + (sqrt(5) - 1*sqrt(5)))*-4) + 5)).\nAnswer: -11 + 49*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -7. Let n be x\/1 - 4\/2. Let g = n + 18. What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 57 - 165 = 0. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7872 is divided by 3802.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 10. What is the nearest to -4 in g, -1\/4, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1278*o**3 + 74752*o**2 - 727*o - 43116?\nAnswer: -7668*o + 149504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12030 (base 4) to base 5.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-2))\/(((-3053)\/(-258))\/71)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -369, -1, 4, -5, 1 in descending order.\nAnswer: 4, 1, -1, -5, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 3. Let z be o(-1). Let y be 9\/z*60\/(-45). Which is bigger: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.8 * -0.4\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*1*(-16)\/20. Suppose -2*x - 1760 = -4*x + 2*p, -i*p = 3*x - 2619. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455 - 427. Which is smaller: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39364 and 3692.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -34*j**2 - 755*j - 160. Give q(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/7 - 57292*d**3\/7 - 19925040*d**2\/7 - 250419500*d - 247581250 = 0.\nAnswer: -28295, -175, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77056 = -20*o + 18*o + 4*x, x + 192604 = 5*o. List the prime factors of o.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/80199 and -55\/49647.\nAnswer: 1042587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26066224.\nAnswer: 2, 151, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1380)\/(-8))\/23*(-32)\/9*18\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20829*a - 950*a - 5047*a)*(2*a - 2*a + a**3).\nAnswer: 14832*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 7, c: 4, n: 4, x: 1}. What is prob of picking 2 u, 1 n, and 1 e?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {g: 1, w: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*o + 322*o - 80*o - 83*o - 79*o + 60 - 54.\nAnswer: -3*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 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: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 3*w + 2*w, -c - 2*w = -4. Suppose c*v - 3*v + 5 = 0. Suppose 3*l = 7*l - v*o - 28, -o - 8 = -2*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 5*x)*(2*x**4 - 2*x**2 + 2*x**2) + 3*x**5 - 3*x**5 - 2*x**5 + (3*x**2 - x + x)*(5*x**3 - 2*x**3 - 4*x**3) - 1232*x**5 - 9130 + 9130.\nAnswer: -1241*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-15)*1\/((-10)\/45*6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*1\/15. Suppose -f = 1, -4*f + 0 = g - 1. Which is the closest to -1? (a) z (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -30. Suppose 0 = -x - x + k. Suppose -44 = -x*z + 16. Solve c - 4*c + z = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.3 (c) 0.29 (d) 0 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2. Let n = 11 + -7. Suppose 4*v - n = 3*v. Let t(q) = -q**2 + 4 - v. What is t(s(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30007762 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -347, -651, -955, -1259, -1563?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56611 less than 16.8?\nAnswer: -56594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -799, -2360, -3943, -5554, -7199, -8884, -10615?\n\"Answer: -d**3 - 5*d**2 - 1539*d + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2)))\/(r*r**1))**(-4\/9)*((r\/r**0*r)\/r)**(-6\/7)\/((r\/r**(-4))\/(r\/(((r*r**(2\/9))\/r*r*r)\/r))) assuming r is positive.\nAnswer: r**(-383\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4204814.3120092 + -4206496.192. Let l = f - -1681.41. Let p = -0.47 - l. What is p rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191174348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1. Let m(v) = -v + 2. Let w(p) = -m(p) - 2*t(p). Let o(x) = 6*x. Give o(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*q + 3293 - 10669 = 7480 - 1736 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/9, 1\/3, 0.3, -655?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 810*u**3 + 198*u**2 - 2*u wrt u?\nAnswer: 4860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 - 7*h - 17. Let x(n) = -22*n - 3*n**2 + 72*n - 25*n - 23*n + 6. Calculate 4*l(y) + 11*x(y).\nAnswer: -y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 54 = -204. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22611, -45265, -67955, -90699, -113515, -136421?\nAnswer: -159435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand -226*m - 101 + 101 + (-20*m - 13*m + 19*m)*(1 + 2 - 1).\nAnswer: -254*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105061111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.26. Let j = -14 - -20. Let s = -5 + j. Which is the nearest to 0.1? (a) 1\/3 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8837 is divided by 117?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = 0, 0 = 3*c - 3*t + 28 - 166. Suppose -37*l + c = -16*l. Solve -4*i + 3*d = 2*d - 15, l*d - 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 3*x - 1. Give q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*q - 5, -5*z = 3*q - 13 + 3. Suppose 120 = 5*r + z*h, r - 23 - 10 = 2*h. Suppose -r - 61 = -p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*s = -251*s + 108*s - 340 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -1.6. Let t = a + 0.2. Let s = t + 1.3. Is s at most 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -0.1. Let h = -0.33 - u. Let m be (-1)\/(1\/5) + 54\/10. Which is the closest to 0.1? (a) 1 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10956 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + (-1 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:35 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -1 - -13 - -21) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1.4874444\nAnswer: -0.7437222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from ugfffugobofb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192365 by 38473.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -26. Let p(l) = 4*l**2 - 3. Let k(t) be the third derivative of 3*t**5\/20 - 7*t**3\/6 - t**2. Determine y*k(i) + 14*p(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + 2 - -37 - (-8 - (9 - 14)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/9 - 16*t**3\/9 + 32*t**2\/3 - 5*t. Factor c(a).\nAnswer: 4*(a - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817463489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 743 + -3727\/5. Which is greater: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 858*q + 12863. Calculate w(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-64))\/1 - 1827\/(-24)*14\/(-42)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/(-12)*-66). Which is the closest to 0.8? (a) w (b) 3 (c) 5 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001269 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -531.002145 + 531. Round s to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -2, 0, -45, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11007819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11212111 (base 3) to base 14\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v + 1)*(0*v - v - v) + 2*v + 2*v**2 - 2*v + 7*v**2 - 2*v**2 - 2*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19894 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6936 divided by 6.\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 2. Let b be s(-6). Suppose b*l - 6 = 2*l. Let i = 41 - 38. Solve w + 9 = -i*n, 5*n - 4*n = -l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from 40699.\nAnswer: 40698.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -9. Let k(u) = u**2 - 7. Let n be k(c). Let r = 77 - n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 9. Suppose -100*y - 98 = -105*y + 2*u, 5*y - 71 = -u. Which is the second smallest value? (a) y (b) 0.4 (c) n (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:14 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 3*v**2 + 2*v**2 + (-115*v + 111*v + 263*v)*(v - v - v)*(0 + 96 - 14) - 1 + 2*v**2 + 1 as t + o*v + w*v**2 and give w.\nAnswer: -21235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*f + 111, -8 = 5*f - 4*q - 127. What is the greatest common factor of 437 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {v: 6, p: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/2 + 1041*z**4\/2 + 67599*z**3 + 3882897*z**2 + 163967247*z\/2 - 171869283\/2.\nAnswer: 3*(z - 1)*(z + 87)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34986 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 w = -35 - -43. Suppose -w*m = -12*m - 360000. What is m rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 314*w - 315*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**2 - 2*r + 14. What is s(3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 128*y**3 - 2094*y**2 - 7020*y.\nAnswer: 2*y*(y - 78)*(y + 5)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 242638 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032664413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/13))\/g*g\/g**(-1\/6))**10 assuming g is positive.\nAnswer: g**(365\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - b**2 - 2*b + b**2)*(871 + 6*b - 871).\nAnswer: 12*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*u + 8, 6*w - 12*w + 13 = -5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 5*g - 3*q, 0 = -4*g - 4*q + 8. Suppose -n = -0*n - g. Let b(i) = 0*i**2 + i**2 - 2*i**n - 2*i**2. Let s(w) = -3*w. What is b(s(x))?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001575827 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s - 1225 + 1225.\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*w = -213*w - 643*w + 20045 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 15*r**3 - 21*r**2 - 15*r + 18 = 0. Calculate r.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1*-35)\/(0 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -25*v + 1. Let s(u) = 70*u - 4 + 8*u + 26*u. Let b(n) = -9*l(n) - 2*s(n). Determine b(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 1\/2, -0.5, 7\/2 in increasing order.\nAnswer: -181, -0.5, 1\/2, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22503?\nAnswer: 3, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooys when four letters picked without replacement from {s: 2, f: 4, o: 2, y: 2, r: 3}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 7317 = 9233. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/250)\/(6*4\/(-90))*5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - a - 2*a - 3, -4*g + 2*a = -18. Let f be 8\/(-12) - 7\/g. Let i(t) = -392*t - 5. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 22*r**2 + 10*r**2 to the form k*r**2 + t + q*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*q - 9 - 3, 5*q - 4*j = 30. Suppose 0 = 3*x - 44 + 158. Find the common denominator of ((-2)\/15)\/(q\/320) and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*g - 12451 = -52*g + 13056 - 8497 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 282016 in -0.5, 2, 0.09, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 + 562. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100988716*p*v**2 + 13804*p*v - 1304*p wrt v.\nAnswer: -201977432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4102 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.6 + -42. Let x = l + -4.599918. Round x to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*l)*(-3 + 7 + 0)*(3 + 14 + 2) as j + i*l and give i.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8.05. Sort -3\/2, 2\/9, z.\nAnswer: -3\/2, z, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/3 - 3*y**2 + 2*y + 1. Suppose 5*r = 16 + 4. Determine s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5659980 and 12351?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1 - (1 + 15). Suppose -221 = -21*j + 199. Let a = j + z. What is the highest common factor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v + 20. Let n be f(-1). Find the third derivative of 110*b**3 + 70*b**3 + 96*b**n - 149*b**3 wrt b.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(-4 + -5*((5 + -1*sqrt(1331) - (sqrt(1331) + 1 + -2)) + -4)))**2.\nAnswer: -110880*sqrt(11) + 4798656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -2*j - 2, -2*l = -3*j + 1. Solve -z - f = -4*z - 4, -l*f = -4*z - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, 100 in decreasing order.\nAnswer: 100, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 34. Let z be i(-11). Is z > 8\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3025552*b - 3025552*b - 5. Let o(k) = 2*k**2 - 10. Determine -2*o(y) + 5*q(y).\nAnswer: y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570267 divided by -9.\nAnswer: 63363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9719263 litres?\nAnswer: 971.9263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(252)*4)\/(sqrt(1296) + sqrt(4))*-4.\nAnswer: -240*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7021 = -0*u + 7*u. Let b = u + 1765. Suppose 5*k = -k + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d + n + 6, -2*n + 2 = d. What is the tens digit of 49 - (-1)\/(-1)*(d + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 33*s**2. Let b(c) = 2*c**2 - 191. What is b(t(z))?\nAnswer: 2178*z**4 - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40353689 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5 + 63177772*u**4 + 249464461269124*u**3 + 249464271735828*u**2 - 498928796182728*u = 0.\nAnswer: -7897221, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545757160.\nAnswer: 2, 5, 13, 1049533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1155?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(-1444469)\/46*(-3)\/(-6).\nAnswer: 13, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**5\/3 + 95*z**4\/3 + 74*z**3 + 217*z**2\/3 + 88*z\/3 + 4 = 0. What is z?\nAnswer: -3, -2, -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 21 = 5*v. Let h be ((-18)\/3)\/(v\/(-6)). Solve -g = h*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2161\/12 - 180. Let g(v) be the second derivative of -1\/2*v**3 - s*v**4 + 3*v + 3*v**2 + 0. Calculate g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2 and 45\/26996.\nAnswer: 26996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 69199?\nAnswer: -691a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -2.89. Let h = 3 - w. Let y = h - -0.1. Which is the smallest value? (a) y (b) 3\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -7*y**5\/20 - 59*y**4\/12 + y**3\/2 - 9*y**2\/2 + 164*y. Let s be o(-11). What is s rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/2 + 48*c**3 - 531*c**2 + 960*c + 3075\/2 = 0?\nAnswer: -41, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s - 3*s**3 - 2 + 2*s**2 - 4*s**4 + 3*s**4 - 8*s as w*s**3 + p*s**4 + a*s + h + q*s**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x**2 + 14*x - 1. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = 26. Let a(c) = -12*c**2 - 16*c**2 + 14*c**z. Let k(d) = -2*d. What is a(k(u))?\nAnswer: -56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s**3*s)\/(s*s\/((s\/(s\/s**(2\/9))*s)\/s)*s*s\/(((s**(-2\/111)*s)\/s*s)\/s)))**(-29) assuming s is positive.\nAnswer: s**(17342\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 + (-2 - (-1 - 0)) + -1 + (-213865 - -213856)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1928656 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*9*(-5)\/6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109695222 and 79380.\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*g - 290, g = 5*f - 0*f - 1402. Let s be (-1)\/(f\/(-92) - -3). What is the tens digit of 1 + -3 + 6 + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s + 26*s - 104 - 276 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l - l + 155*l)*(-3 + 4 - 2)*(5*l - 5*l + 3*l).\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-3\/10)\/k)*k*k**16 assuming k is positive.\nAnswer: k**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*k - 740*w + 743*w, -2*w + 32 = 3*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 289\/5. Does l = -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 >= -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4 + 0*a**4 + 0*a - 8*a wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:09 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3228959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*n = 17, 5*k + 71*n = 69*n + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6*s = -14*s + 75. Let y = -7 + 13. Solve -y*m - s = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -9. Suppose -29 = -10*d + f*d. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 2*y - 9 + 3*y - 6*y.\nAnswer: -y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -36.05925.\nAnswer: -50.05925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7732 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -319152, -638314, -957478, -1276644?\n\"Answer: -m**2 - 319159*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 26 = 2*a, -4*a - 5167*b - 4 = -5165*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/6 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/90 - 11*a**4\/24 + a**3\/6 + 14*a**2. Let u(i) be the first derivative of c(i). Differentiate u(f) with respect to f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 10. What is the tens digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8083635l in millilitres?\nAnswer: 808.3635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15. Suppose -5 = 2*s - 13. Let y be (-1)\/6*-3*s. Solve f = -3*q + 3, y*z + 2 = q + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1660 times -0.4?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/2 + 1953*a**3\/2 - 131043*a**2\/2 + 256223*a\/2 - 63567 = 0.\nAnswer: -2018, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-7))\/(((-2280)\/266)\/(-30))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 952.5029 grams?\nAnswer: 952502900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f + 23*f - 475*f**2 - 332*f**2 - 48*f. Let o(c) = 7*c. Determine o(z(u)).\nAnswer: -5649*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572, 1149, 1730, 2315, 2904, 3497, 4094?\nAnswer: 4695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27415701017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, e: 5}. What is prob of sequence cc?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 10. Let x = 11 + -7. Let r be p(x). Let d be (-9 - r)*1\/(-15). Put 1, d, 13 in increasing order.\nAnswer: d, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45431024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by -1658\nAnswer: 377\/1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 - 403 = -56*c + 1778 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, j: 2, h: 4, d: 1}. Give prob of picking 2 j and 1 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 3*g + 4. Let u be (-8)\/(-6)*(-15)\/5. What is the remainder when y(u) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, 51*z - 54 = 48*z - 5*o. Suppose -39*j + 41*j - z = 0. Calculate the remainder when 10 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -21. Suppose -w*x + 86 = -2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -2226111.6.\nAnswer: -2226106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u\/((u**(-17\/3)*u)\/u))\/u)))\/u**(-15\/4) assuming u is positive.\nAnswer: u**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5*c**2 + 2*c**2 - 2)*(-5*c + 2*c + 2*c + (28*c + 141 - 141)*(0 + 1 - 2)) to h + x*c**3 + f*c + d*c**2 and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*u = 6, -2*r = 5*u + 36 - 54. Sort 2, -9, r in increasing order.\nAnswer: -9, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978 + 1206 = 746*i + 50*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 143924.\nAnswer: 143922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/220 and -29\/18255385.\nAnswer: 803236940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 740848 (base 10) to base 6\nAnswer: 23513504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -25. Let z be (-1)\/(u\/(-3) - 4). Solve -w + 2 = -z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 8. Let q be y(-3). Suppose q*l = 29 - 4, -3*l = k - 20. Solve -a = 5*n + 3, 0 = n + 2*n - k*a - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/51 - 252889\/119. Let a = -315 - o. What is a rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 146?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-2)\/((3\/99)\/(15\/990*-11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 19 - 28\/5*g**5 + 64\/3*g**3 + 0*g + 0*g**2 - 2\/3*g**6 - 8*g**4. Factor z(x).\nAnswer: -4*x**2*(x - 1)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 41?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k + 2. Let p(u) be the first derivative of -u**3\/3 - 802. Determine h(p(w)).\nAnswer: -20*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*j + 140*j - 18. Let z be ((-329)\/14)\/(3*3\/j). Which is bigger: z or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -4*b - 11*b + 90 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 1, -0.035, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6*s + 12. Is 85302\/35 + s\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 900*l - 20. Let o(w) = 2. Give -b(z) - 10*o(z).\nAnswer: 4*z**2 - 900*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 29*b**5\/20 - 19*b**4\/4 - 12*b - 4. Find the third derivative of z(g) wrt g.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.029, -425, 5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-250)\/(-150)*(0 + 15). Sort -1, 3, n in descending order.\nAnswer: n, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*j + 32, 0*l - 18 = -2*l + 3*j. Let b(x) = x**2 - 2*x - 1. Let q be b(l). Let f(k) = 2*k**2 - k. What is the units digit of f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(5 - 15))\/((-1)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48398 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*b - b. Let c be 3*1*(1 + 2)*1. Suppose -12 = -10*a + c*a. What is the highest common divisor of a and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8 + 8. Let q be 260\/16 + (-1)\/u. Let a = 10 - q. Let v(k) = -k**2 - 5*k. What is v(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8713 is divided by 629?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -81. Suppose 5*z - 10 = -f, -3 + 30 = 4*z - v*f. Solve 16 - 7 = z*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 2717.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/945 - g**6\/180 + g**5\/135 + g**4\/9 + 8*g**3\/27 + 65*g**2. Let k(i) = 0. Calculate i.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2488 and 6842.\nAnswer: 27368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/6 + 17*h**4\/24 + 2*h**2 - 2. Find the second derivative of b(v) wrt v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + 54. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 13 - 51 + 16 - 434*i**3.\nAnswer: -434*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76291*s**3 - 3*s**2 - 2*s + 77397 wrt s.\nAnswer: -457746*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y + 9167*y + 5503*y.\nAnswer: 14644*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0*c + 2*c)*(266 - 14*c - 266) + 6 - 6 + 6*c**2 - 2*c**2 + c**2 + 0*c**2 to i + h*c + s*c**2 and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u - 7. Let p(a) = u*a + 5 - 2 - a - 1. What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100216, -97760, -95304, -92848?\nAnswer: -90392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2031 and -55.\nAnswer: 111705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*m**3 + 113*m**3 + 107*m**3)*(0*m - 2*m + 3*m) - 2*m**4 - 2*m**4 + 12*m**4.\nAnswer: 65*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 200848296?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-30)\/(p**(2\/11)*p*p**(-5\/6)))\/((p**(1\/3))**(3\/4))**(6\/11) assuming p is positive.\nAnswer: p**(-2092\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029116512 a multiple of 1038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let b(y) = 5*y**2 - 11*y + 11. Let k(r) = -r**2 + 2*r - 2. Let w be (-15)\/10 + (-164)\/8. Determine i*b(g) + w*k(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 + 41*v**4 - 993*v**3 - 20281*v**2 - 70352*v + 91584 = 0.\nAnswer: -53, -8, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*j - 3*j = 95, -115 = -5*w - 2*j. Suppose 0 = -2*s - s - 5*v - 37, -27 = 2*s + v. Let a = s - -23. What is the remainder when w is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 264, 7, -89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -257*o*y + 304*o + y + 1 wrt y.\nAnswer: -257*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 69. What is the closest to 1\/2 in 16, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -242*-37*25\/(-10175).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2209592, -2209615, -2209648, -2209691, -2209744, -2209807?\n\"Answer: -5*l**2 - 8*l - 2209579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-18)*-3*(-4)\/10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslssslsslss. Give prob of picking 1 l and 2 s.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(sqrt(1134)*1 - sqrt(1134)))\/(-6*sqrt(252)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/3 - -25. Let l(d) be the third derivative of 0*d**4 - 1\/40*d**6 - d**2 + 0 + 0*d + r*d**3 + 0*d**5. What is the first derivative of l(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**3 - 109*f + 109*f.\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:36 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.2 (c) -2 (d) 0.4 (e) -44 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771872.9 litres to millilitres.\nAnswer: 771872900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 13*h**2 + 6*h - 3. Let g be v(-12). Let n be (1 - 7)*(-23)\/g. Suppose -n*w + 15 = 1. Solve -2*r + w*r = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.84?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - u - 15 - 29 = 0, 5*u + 4 = 2*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.3 - -33.9. Let c = -100 - -163. Let a = u - c. What is the third smallest value in 4, a, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -44340163\nAnswer: 1\/44340163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-114)*(-92 + (-9 - -1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 38. Suppose -7*m + y = -3*m. Calculate the least common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9891.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 130809, 522739, 1175949, 2090433, 3266185, 4703199, 6401469?\n\"Answer: -t**3 + 130646*t**2 - t + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2653.78 and 0.181.\nAnswer: -480.33418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/1564*4\/6*6\/6?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 27. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Let m = h - 3.03. Let q = 23\/2 - 12. Is q > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 18 = -4*q, -2*q - 11 = 117*t - 120*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 880*h**3*k**2 + h**3*k - 2*h - k**3 - 102*k wrt k.\nAnswer: 1760*h**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/62886 and -93\/10?\nAnswer: 314430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(4\/(531 + -3)). Suppose 0*y + 1123 = 4*y - 3*h, h + 5 = 0. Let r = y + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4*90\/48)*(-20)\/(-6)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1 + 4*u**2 + u**3 + 4 + 1. Let w be f(-4). Suppose -2*c - w = -6*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4270*b**2. Let i(w) = -153963*w. Calculate c(i(v)).\nAnswer: -101218664925630*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 - 250.8. Let n = 19.9 - i. What is n rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-8)\/(-6)) + -21. Let n = 69 + c. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/6*h**4 + 2*h - 1\/2*h**3 + 0 + 0*h**2. Find the second derivative of v(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - o = -21, 0 = -0*i + 2*i + o - 13. Is (-6)\/(-24) - (-527)\/i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59508 and 1759536.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z + 19. Let m be w(-11). Suppose 0 = -s + m + 96. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 3 + 3 + 21*f as x*f + m and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, 114, 87, 60, 33?\n\"Answer: -27*x + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38854550 to the nearest integer?\nAnswer: 6233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*q**4 - 4*q**3 - q**5 + 127*q**4)*(-2 - 4 + 2)*(4 + 2 - 4).\nAnswer: 8*q**5 + 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1012*p**3*s**2 - 2*p**3*s*y**2 + p**3*s*y + 2*p**3 + 9*p**2*s*y - 2*p**2*y - 6843197*p*s**2*y**2 + 2*p*s*y - 19*p*y wrt y?\nAnswer: -4*p**3*s - 13686394*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in -0.17, 5, 39, 0.4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + c - 59 = 0, 41*d - c = 45*d + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(7920))\/(sqrt(1331) - (-1*sqrt(1331) + sqrt(1331))))**2 + (sqrt(45) - (sqrt(180) + 0)) + sqrt(30)\/(sqrt(72)\/sqrt(108)).\nAnswer: 720\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 5. Let k be (-3)\/h - (-6 + 2). Solve k*o = 4*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980915617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 8. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9.2. Let d = -988\/2595 - 10\/519. What is the second biggest value in d, s, 5\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4422?\nAnswer: 17688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:27 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-18))\/(3*2). Let a = 44\/3 + -14. Factor q*m**3 - a*m**2 + 4\/9*m + 0.\nAnswer: 2*m*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*i = 2*i - 5, -i + 7 = w. Suppose -4*y = w - 26. Suppose -28 = -y*d + 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*w + 14. What is the tens digit of 4\/w*6 - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*o = -72*o + 2395. Solve -o*n = -m - 27 - 2, 5*n - 33 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1986 divide 154492833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 461588*j + 461579*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70254345\/2 or 35127172?\nAnswer: 35127172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3867475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*u - 2*c, -u + 5*c = -128 + 168 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -4, -3, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7) + -1 - (sqrt(252) + sqrt(252)*-1)**2.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/42 + 170\/(-12). Let z = -12 - c. Sort z, -4, 5 in decreasing order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668586 divided by -222862.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 329 (base 12) to base 6\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25132 take away 3.84634?\nAnswer: -25135.84634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 6886597799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 6, -1, -18?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, 6\/5, 8.\nAnswer: -27, 6\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. Let s = 179 + -184. What is the biggest value in b, s, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78347 rounded to 2 decimal places?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/53 and -127\/318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let v be 2\/i*-3 - 2. Suppose -2*d + 0*d + 12 = v*f, -3*d - 22 = -2*f. Solve y - f = -5*p + 4*y, -3*p = y - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -119 + 77. Let z(a) = a**2 + 2*a + 48. Let s be z(g). Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6728 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29134216.9 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -449. List the prime factors of o.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164193 by -3.\nAnswer: 54731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (36 + -11 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 305*i. Let f(y) = 2*y**2. What is f(l(t))?\nAnswer: 186050*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 41967.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2680452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 45*d**2 - 6*d + 289. Let f(b) = -16*b**2 + 2*b - 97. Calculate 17*f(r) + 6*i(r).\nAnswer: -2*r**2 - 2*r + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:02 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 3432.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 minus 1250?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 618*a**2 - 12*a - 1051*a**2 + 7*a + 6*a - 946*a**2 - 1 - 2*a**3 to q + h*a**2 + v*a**3 + t*a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 7487*u**2 - 1 + 46*u**3 - 39*u**3 + 7478*u**2. Let q(n) = -3*n**3 + 4*n**2 + 2*n. What is 2*c(v) + 5*q(v)?\nAnswer: -v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-17)\/3. Let u(k) = -23*k + 48*k - 11 - 4*k**2 - 21*k. Let a(q) = -2*q**2 + 2*q - 5. What is s*u(b) + 13*a(b)?\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(4\/6)*(12396 + -12412).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*m*v - 2934*f*m + 191*f + 11*m*v + 55869*m - 3*v with respect to f.\nAnswer: -2*m*v - 2934*m + 191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -52\/5 (b) -1\/15 (c) 1\/5 (d) -2\/3 (e) 2\/15 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*x**5 + x**2 + 2419*x.\nAnswer: -1220*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86997344 to two decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.64289, -0.5, 3, -8?\nAnswer: 0.64289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let m(c) = -c. Let r be ((-9)\/(-18))\/(3\/(-12)*2). Let b(x) = -x**3 - 3*x. Determine p*m(y) + r*b(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.02, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58407*21*(-10)\/(-315)?\nAnswer: 2, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*k + 10, 5*k = 40*h - 39*h - 36. Sort h, 6, -287 in descending order.\nAnswer: 6, h, -287","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 27\/4. Which is the closest to 5? (a) u (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001808 (base 11) in base 4?\nAnswer: -12301010230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1872106108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59182.88 weeks to nanoseconds.\nAnswer: 35793805824000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 16) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let m(p) = 5*p**2 - p. Let c = -9 + 15. Calculate the remainder when c is divided by m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 45.507?\nAnswer: -52.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*y - 988 = -150*y. Solve -20*r + y + 28 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 9*b + 21. Let c be v(-7). Factor 9*p - c*p**2 - 3*p**2 + 6*p**4 + 4*p**2 + 3*p**5 - 12*p.\nAnswer: 3*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from aoaonoaarwen.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57492?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 0, -j + i + 1464 = 0. What are the prime factors of j?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 14*y + 17. Let o be q(14). Let a = o - 9. Let k(w) = -4*w + 28. Let t be k(a). Let l(p) = -p**2 - 2*p + 1. Determine l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-5)*(-195)\/78. Calculate the greatest common divisor of 664 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4526*o - 217. Is x(4) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/2 - 3)\/((-6)\/8). Let p = t - -156. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 4. Let j be x(4). Let z = j - -52. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.46, 165, -3, -68, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24561883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37618, -35490, -33360, -31228, -29094?\n\"Answer: m**2 + 2125*m - 39744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -169, 3, -1, -2, 321 in descending order.\nAnswer: 321, 3, -1, -2, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a6 - 4?\nAnswer: -12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12057453 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 2)*(-3*n + n + 0*n).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 2*b + 4. Let s be d(7). Let p(v) = -15*v - 24. Let w be p(s). Let u = -62 + w. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 3*z + 3, 0 = 13*z - 18*z + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 2575, 4062, 5683, 7438?\nAnswer: 9327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 - 232 + 224 - 5*d**4)*(-3*d + 5*d - d + (-2 + 2*d + 2)*(-4 + 1 + 4) + 0*d + 5*d - 3*d - d + 3*d + 0*d).\nAnswer: -7*d**5 - 56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*q + 21, 3*x + 2*q = -2*q - 13. Let p be 10\/7 + (0 - x). What is the closest to 0 in 0.2, 0.3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - (-256820)\/440. Let h = -5321\/9 + x. Calculate the common denominator of h and 1\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -49.17 and -0.025.\nAnswer: -49.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22561)\/(-7084)*23 + -73.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32132 is divided by 543?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-196)\/(-3). Let p = a - 64. Solve -p = m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 2\/7, 4, 275, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -139*j - 3. Let n(m) = -3*m - 1. Determine d(i) - 4*n(i).\nAnswer: -127*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45015, 45481, 46269, 47379, 48811?\nAnswer: 50565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 332, 1, -3 in decreasing order.\nAnswer: 332, 167, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = -0*y - 2*y, -d = 5*y - 2. Suppose -d*u = 3*u. Solve 2*b + 6 = 2*o, -o + u - 9 = 3*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133959?\nAnswer: 3, 7, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 63 + 23 = 2*g, -2*g + 110 = -5*h. What is the highest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383158 times 703?\nAnswer: 972360074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 10}. Give prob of picking 1 m and 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(112) + sqrt(7) + 0)*-2.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296610 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Suppose -5*t - 70 = -3*t. Let x be (-40)\/(-7) + (-10)\/t. Let b(h) = -6 + x - 2*h. Determine j(b(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 32*l - 39*l + 0*l**2 + 100*l - 42 - 40*l.\nAnswer: (l - 14)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/6 + 3*x**4\/2 - 7*x**3\/2 + 19*x**2\/6 - x.\nAnswer: -x*(x - 6)*(x - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.3 - 58. Let i = o + -2. Suppose 60 = 467*g - 497*g. Which is the closest to g? (a) 3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*a + 0*a = -16, 111941 = -2*n + 3*a + 111918 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:51 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.268402 millennia in decades?\nAnswer: 626.8402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w = 8. Suppose 2*z + 4 = w*z. Is 5*35 - (z + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 2649?\nAnswer: -264d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(1 + 1 - 1) - 4 + 18 + 33)*(-3 + 4 - 2)*(-v - 12 + 12).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/87 and 71\/13602138.\nAnswer: 394462002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981460021?\nAnswer: 3, 4447, 223481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 1, z: 1, w: 1, s: 1, m: 2}. Give prob of picking 1 h, 1 z, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 97. What is the fourth biggest value in 3, a, 1, 0.15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(1377))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*g)*(-g**2 - g + g) + (2*g - 2*g + g**2)*(2*g - 5*g + g) - g**3 + 6 - 6)*(-g + g + g**2).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249 times 17297?\nAnswer: -430.6953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 1. Suppose 8*c = 4*c + x. Calculate the remainder when 27 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from jjnqjjqjjqjjjjn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 5*j**2)*(-2*j + 3*j + j)*(3 + 0 - 1).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-2)))\/l)\/l)\/(l*l*l*l\/l**(-2\/9))*l**(-2\/7)\/l**0 assuming l is positive.\nAnswer: l**(-284\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 20*v - 478. Let k be u(24). Suppose 0 = -4*l + 842 + 126. Suppose -k*d + 0*d = -l. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 97?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23443 + 21*l**2 - 38*l**2 + 16*l**2 - 5397.\nAnswer: -l**2 - 28840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 e, and 1 v when three letters picked without replacement from {a: 4, e: 8, x: 3, v: 4}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26220\/9177 + 1192\/14\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*o - 33. Does 29 divide (0\/2 - -1)\/(o\/(-644))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1336 - -2589. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6796 or -6795?\nAnswer: -6796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2818512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1174 and 1.78?\nAnswer: 2089.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1026 - -45.8974. Which is the third smallest value? (a) i (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78835265.\nAnswer: 5, 15767053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -436*a**3*z**3 - a**3*z**2 + 11*a**2*z**3 - 2*a**2*z**2 - 9*a*z**2 wrt a.\nAnswer: -2616*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -24941.\nAnswer: 228\/24941","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(505 + 508 + 2352*t - 1013) + (t - 1 + 1)*(-5 + 3 + 4) + t + 0*t + 0*t - 5*t + 2*t + 2*t + 0*t - t - 10*t.\nAnswer: 4695*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*a = -196, 2*y - 4*a = -y + 161. Let t = y + -35. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181569095?\nAnswer: 5, 17, 2136107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.64641 to 1 decimal place.\nAnswer: 177.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + -2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 755*k**2*n**5 - 548*k**2*n**2 - 96*k**2*n - 24*k**2 + 2*k*n - 5*k wrt n?\nAnswer: 15100*k**2*n**3 - 1096*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198754248 and 504?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7019 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7584332 days to microseconds.\nAnswer: 65528628480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = g - 17, 5*y = -2*g - 27 + 72. What is the remainder when 58 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6982*l**4 - 2*l + 7625 wrt l?\nAnswer: -83784*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzjjwzzzz. What is prob of sequence jzwz?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 100*t - 21. Let o(j) = j + 4. Calculate -5*o(d) - p(d).\nAnswer: -105*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3 - -1) + 4. Suppose 26 = w*m - 10. Suppose -5*h + 5*x = -460, h - 3*x - 84 = -0*h. What is the greatest common factor of h and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3198 - -3100.92. Let a = v + 96. What is a rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(539) - -4*(sqrt(539) + (1*sqrt(539) + sqrt(539) - sqrt(539)) + sqrt(539))) + -5)*3)**2.\nAnswer: -8190*sqrt(11) + 820045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 2*o**2 + 2*o)*(0 - 1 - 2)*(1 + 32 + 22) to f*o + z*o**2 + i and give z.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3062.7 to the nearest 10.\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -615 + 616. Put l, -3, 16, 3 in descending order.\nAnswer: 16, 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137.59 times -2.469\nAnswer: 339.70971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:23 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224795.1 hours to days.\nAnswer: 9366.4625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-45)\/(-12))\/((-30)\/(-30040)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 - (-80)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.11\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 5. Let v(h) = 4*h + 6. Let w = 2 - -4. Let i = -406 + 401. Determine i*v(u) + w*j(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 205*t**3 + 3584*t**2 + 9332*t + 5952 = 0. Calculate t.\nAnswer: -186, -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37894.604 - 37895.76400118. Let t = b - -1.16. Round t to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36661, 73146, 109631?\nAnswer: 146116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20219*n**3 - 2181*n - 2?\nAnswer: -121314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 605622036 and 23.\nAnswer: 605622059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(200) + -3)**2*-2 + (sqrt(84)\/(2*sqrt(6)) - sqrt(14))\/(sqrt(847)*2) + -1.\nAnswer: -3619 - 15841*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -700, -1123, -1636, -2269?\nAnswer: -3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {r: 1, m: 2, o: 3, u: 2, e: 2, p: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 5, a: 5}. What is prob of picking 1 z, 1 j, and 2 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 815*f + 1245*f + 771*f - 309*f - 384*f as g*f + p and give g.\nAnswer: 2138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -31, -40, -49, -58?\n\"Answer: -9*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x + 2. Let q be k(6). Let p be ((-10)\/8)\/((-1)\/q). Let s = -1 - -2. Which is the nearest to s? (a) 5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 8*f - 17. Calculate the remainder when 109 is divided by v(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 5. Let y be -2 + (1677270\/c)\/(3\/44). What is y rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16)*2*-20. Let d = j + -10. Solve 4*s + d*s = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 2*i + 1 - 3*i. What is the tens digit of y(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 + 695954*o\/13 + 695956\/13.\nAnswer: -2*(o - 347978)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -684*m + 684*m - 1498*m**2 + 5 - 5 in the form b*m + q + h*m**2 and give h.\nAnswer: -1498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(6\/4 - 0). Suppose 5*d - l = 0, -g*l = d + 4*d + 15. Let w be (-7 - 1*d)*31\/(-93). What is the highest common factor of w and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -16 + 10. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24205334 (base 6) to base 13.\nAnswer: 209542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-680) + (-6)\/8\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18383*t = y - 18382*t + 34 - 7, 4*y + 5*t = -109 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2 - -1) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/15*(-5)\/(-12) and 2\/(-12)*(-171)\/(-8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021201 (base 3) to base 14\nAnswer: 4ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 2*s)*(103*s + 334*s + 28*s - 56*s).\nAnswer: 409*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -411\/47 (b) 2\/47 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 5622100 = d. What is d rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5 - 35. Let m be 12\/(-30) - 26\/r. Which is the nearest to m? (a) -0.4 (b) -2\/19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 - 4*u + 3. Let g be s(-6). Let t = g + -17. Let d = 32 - 13. What is the remainder when d is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/17)*g*g\/g**12)\/(g*g**(-1\/5)\/g*g*g*g**(-4)*g) assuming g is positive.\nAnswer: g**(-668\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 0, -2 in decreasing order.\nAnswer: 75, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 549.2 and -22.11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32029, 64058, 96087?\nAnswer: 128116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7518 - 7519. Put 6, 47, b in decreasing order.\nAnswer: 47, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - 2\/3. Let a be 2\/11 - (-1412)\/(-22). Let t = -574\/9 - a. Is t >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*a*t*z**3 - 6*a*y**3*z**2 + 3*a*y**2*z - a*y - a*z**3 + 16*t*y**3*z**3 - 5*z wrt t?\nAnswer: 58*a*z**3 + 16*y**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 94. Let u = 14 + a. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 13233?\nAnswer: 13300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2776355166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4232.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -716541?\nAnswer: -127\/716541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -4.4753.\nAnswer: -0.44753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -161, -358, -673, -1094, -1609, -2206, -2873?\n\"Answer: 2*v**3 - 71*v**2 + 2*v - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2288*r + 59401. What is o(-26)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 24*c**2 - 20*c - 119. Suppose 29*s - 900 = -7*s. Let l be p(s). Suppose -d = 1 - 5. Solve 3*k = d*x + 9, 4*k = k - x - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*p**5 - 5*p**4 - 480*p**3 + 219*p - 524384.\nAnswer: 5660*p**3 - 60*p**2 - 2880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6244 = -1083*c + 254 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 23*d + 9. Let y be z(-11). Let k be (-6)\/(y*15\/80). Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/22)*(-101)\/(-101).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -35, -63, -107, -173?\n\"Answer: -z**3 + z**2 - 14*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + 22?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*d + 45*d + 159*d)*(-6 + 4 + 1)*(-1 - 2 + 1).\nAnswer: 292*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13081 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by 1\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 59*c - 208*c - 1068 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.094 - 52.094. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 + -120?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 11 = a, 4*s + 12*a - 6*a = 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9267, 47, -8\/31?\nAnswer: 9267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1604 = -29*u + 31*u + 4*s, 0 = -5*u - s + 4001. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + -2)**2 + -1.\nAnswer: -4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t**2 - 2*t**2 + (5*t - t - 3*t)*(-t - 3*t - t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -48*d - 621. Determine t(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2996 and 0.27.\nAnswer: 808.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -163. What is the closest to r in -1, 2\/3, -5\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 13) to base 3.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 12*j**2\/7 + 6*j\/7 + 20\/7.\nAnswer: 2*(j - 5)*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -2*q**5\/5 + 3*q**4\/4 + 4*q**3\/3 - 9*q**2\/2 + 11*q. Let m(k) = k**3 - k**2 - k + 1. Determine 18*m(t) + 2*u(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/11))**(-21)*(m**(2\/7))**(-27) assuming m is positive.\nAnswer: m**(-2505\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8932, -8960, -8988, -9016, -9044?\nAnswer: -9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 - 2*j**2 + 6*j + 4. Let a(h) = -3*h**3 - 2*h**2 + 5*h + 3. Let n(x) = 3*a(x) - 2*s(x). Let b be n(-3). Which is bigger: b or -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v, 19*w = 5*v + 878 - 38. Calculate the remainder when 2659 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122584 by -22.\nAnswer: -5572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1212693928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - ((-3 - -1) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 37) + (-8 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*n - 29, -17 = -2*n + 34*b - 29*b for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(1\/4)*q*q)**(1\/3)*(((q**(-1\/10)\/q)\/q*q)\/q)\/(q\/(q*(q\/((q\/q**(3\/4))\/q))\/q)))**27)**(-1\/17) assuming q is positive.\nAnswer: q**(-9\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 + 1 - (-2 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w. Let k(i) be the second derivative of i**5\/30 + i**2\/2 + 20*i. Let a(q) be the first derivative of k(q). What is a(r(d))?\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1511343 and 5604.41?\nAnswer: 1516947.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.181 times -27161\nAnswer: 4916.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 5*r**2 + 2*r + 4. Let n be (1*-3)\/((-9)\/(-12)). What are the prime factors of u(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*-5)\/((sqrt(7) - 1*sqrt(700) - sqrt(7)) + sqrt(7)).\nAnswer: -10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axwa when four letters picked without replacement from xaxaaxaaxaawxaar?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/1530 and -101\/1296.\nAnswer: 110160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b**(-2\/3))\/b*b)\/b)\/b*b)**17\/(b*b**(-3\/2)\/b*b*b*b**(-2\/15)))\/(b**(-2\/7)*b\/b**1)**(-21\/8) assuming b is positive.\nAnswer: b**(91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 2\/7, -3, 8 in descending order.\nAnswer: 8, 2\/7, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-4 - 1) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*n - n + 0*n)*(6 - 2 - 2)*(4 + 2 - 4).\nAnswer: 8*n - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 10) to base 15.\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 29. Let d = o - -14. Let l(g) = -g**3 + 7*g**2 - 5*g - 4. Calculate the least common multiple of l(6) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125394, -125393, -125392?\n\"Answer: v - 125395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 4, b: 8}. What is prob of sequence bbba?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -737\/28 not equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b**2. Let s(o) = -20*o. What is s(q(u))?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 92406 = -34034. Let z = 62610 + v. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 3) to base 13\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 759913 at most 759962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 14*p**2 + 59*p - 44. Give c(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnennnnnnn. Give prob of sequence nnnn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*-6*((-476)\/51 + -20).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25234 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z - 58. Let c be a(-6). Let d(p) = -45*p - c*p + 6 + 85*p. Determine d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvvvrvvlvmrvvmlrr. What is prob of sequence rv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 296 = 51. Let l be (-8578)\/(-7) + 1065\/(-2485). What is the greatest common divisor of l and v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8*y*y**(-4))\/(y\/((y*y**(-8))\/y)*y**5\/y) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.71233 times -0.4?\nAnswer: 1.484932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 2, d: 4, p: 4}. What is prob of sequence dpb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 - 144. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (0\/3 - 2). Suppose -4*u = -4*h + j, 2*u + 4 - 1 = h. Solve u*x - 12 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6515256 and 1288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69.069 + 69. Let f = z + 0.069. Sort -0.3, -5, -0.03, f in decreasing order.\nAnswer: f, -0.03, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458\/(-5725)*-10*(-9)\/(-6)*25\/(-110).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 3 - 30 = 5*m, 5*m = 2*b - 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 14*c - 5 + 26*c + 7. Let w be o(4). Suppose 4*i + 2*a - 114 = 0, -4*i + w = i - 4*a. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-172)\/((-16)\/(-4)). Let b = 47 + u. Solve b = -3*f - 0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:09 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880816850 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -418.451 + 418. Let v = q + 0.041. What is v rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8096.678 grams in kilograms?\nAnswer: 8.096678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117187607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7002?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-22))**(-22) assuming z is positive.\nAnswer: z**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 0*p + 0*p + (5*p**2 + 0*p**2 - 4*p**2)*(2 + 0 - 4) + 4*p - p**2 - 4*p + 3*p**2 - 5*p**2 - 2*p**2 as f*p + x + q*p**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3 - 472*h**2 + 10244*h - 62192 = 0?\nAnswer: 13, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - l**2 - 61*l - 515. Determine v(0).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522768825.\nAnswer: 5, 31, 149, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Sort 3, 5, m in decreasing order.\nAnswer: 5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:56 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2698\/(-18886))\/(-2 - ((-312)\/308 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182461972?\nAnswer: 2, 7, 11, 41, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 84.026 and -73891649.15.\nAnswer: -73891565.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 449, 398, 333, 254?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4 + 16. Suppose -g = -4*g + 2*o + 11, 3*g + f*o - 4 = 0. Let k be 0 - (g\/1 + -4). Which is greater: 2\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 49606?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o + 435. Let n(m) = -50*m. Calculate i(n(g)).\nAnswer: -500*g + 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 40*l - 38. Let v be x(-19). Solve 0 = 3*c - 2*i - 10, v*i + i - 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0\/g*g)\/g)**(2\/117)*g**(4\/7)*g**(-1))**2 assuming g is positive.\nAnswer: g**(-730\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 163, 204, 271, 370, 507, 688, 919?\n\"Answer: m**3 + 4*m**2 + 2*m + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r**4 - 5420*r**3 - 45624*r**2 - 88380*r - 48168 = 0 for r.\nAnswer: -669, -6, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -755, -3042, -6861, -12218, -19119?\n\"Answer: -r**3 - 760*r**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -194*i**2 + 384*i + 8 = 0.\nAnswer: -2\/97, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125531247 a multiple of 2297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) 1\/9 (c) -5 (d) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**8\/10080 + d**7\/168 + 2*d**6\/45 + 11*d**5\/30 + 69*d**2. Let w(b) be the third derivative of g(b). Solve w(u) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18293813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (0 - -6) + -5 + 1. Let m(n) = -15*n**2 - 2*n + 1. Calculate m(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67364 divided by -1531\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 49*i**3 + 2*i**2 + 2*i - 5. Let q be d(2). Suppose -2*c - 2*k + q = 3*k, -787 = -4*c + k. Let w = c - 96. What are the prime factors of w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.152 or 39?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (165 - -5)\/(14\/273) + (-1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30743 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 853550464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2. Suppose 2*r - v = -4, -4 - z = 3*r - v. Is -1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**7\/3360 + x**6\/720 - x**5\/480 + 2*x**3\/3 + 5*x + 23. Let d(l) be the third derivative of i(l). Factor d(k).\nAnswer: -k*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150, 303, 456, 609, 762, 915?\n\"Answer: 153*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odp when three letters picked without replacement from ppdpiiqppippdio.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196\/477 + 10\/53. Let h = 2153\/9 + -239. What is the second smallest value in h, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.27 + 0.02. Let i = 0.76 - m. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387510*n**4 + 217261*n**2?\nAnswer: -9300240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 835\/20 + (-79)\/((-2212)\/(-1008))\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763625 is divided by 95449?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*r - 34 = 3, -27 = -4*b + r. Let c be 2\/(-4)*8\/(-1). Suppose 0*h - c*h = -2*k + 12, k - 3*h = 7. What is the remainder when b is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/540 and -101\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187316?\nAnswer: 2, 46829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((3\/12)\/1). Let g be 66\/15 - t\/(-10). Suppose -2*c - g = -3*c, -20 = -2*y + c. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/(-6)*213\/(-426).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddppddpdphddd. Give prob of picking 1 d and 1 p.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, p: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.7163 - 21.7. Round b to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141464185 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037 - -3696750?\nAnswer: 3695713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1776*f - 1776*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbi. Give prob of sequence ibb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1141*z + 45683. Determine a(40).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/239 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -952.8 + 953. What is the nearest to -1\/4 in 4, -1\/3, 1, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = -0*q + h, 5*h = -4*q - 5. Suppose 4*z + 2*f - 8388 = -0*z, -5*z + 4*f + 10511 = q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 2*a + a)*(-48*a - 1612 + 1612) to x*a**2 + q*a + v and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 3*y**2 + 4*y - 3. Let f be g(4). Let l(m) = 9*m + 2*m**3 - 2*m**2 - 3*m**3 - 7*m. Let o be l(f). Solve 0 = 6*n - o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9577865839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - -12 - (-1 - 20). Let i = 86 + -81. Sort -3, i, n.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 22170810*v - 133024680.\nAnswer: -5*(v + 6)*(v + 4434156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13188 + (4\/(-12))\/(10\/270)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 10 = 16*q. Solve -4 = q*m - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/12 - u**3\/3 - 5*u**2\/2 + 7*u. Calculate s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305158.2mm in micrometers?\nAnswer: 305158200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/((((-40)\/162)\/(-5))\/(236\/(-354))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549.47 - 97.57. Let u = a + -477. Let w = u - -25.378. What is w rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435462377.\nAnswer: 7, 62208911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 13*x**2 - 39*x + 7. Let i be p(-10). What is i rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27348, -1, -9, -4 in decreasing order.\nAnswer: -1, -4, -9, -27348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*b + 2*i = -554*b, -3*b + 4*i - 60 = -20 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**8\/1512 + 2*u**7\/945 - u**5\/135 + u**4\/108 - 7*u**2. Solve y(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from gngmmrnynnrgngrmnmgm?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -24. Find the third derivative of 59*t**2 - 7*t**c - 4*t**2 + 37*t**6 + 24*t**6 wrt t.\nAnswer: 7320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:11 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 5. Let i be s(-1). Let f(r) = -r**2 + 6*r - 7. Let l be f(i). Which is the nearest to 0.1? (a) 1\/7 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2 + 5. Suppose 2*y + w + 5 = 0. Is 44 - (y - 8\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.1 * 2139633.\nAnswer: 21610293.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 314.081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16664\/11 - 1516. Let o = -79 - -78. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 81*u**2 + 466*u + 170. What is the hundreds digit of d(86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12106 + -11601. Calculate the remainder when 886 is divided by t.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -64?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*d - 9 + 31, -4*u - 2*d = -20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1729, -3527, -5329, -7135, -8945, -10759, -12577?\nAnswer: -14399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.65388 months in centuries?\nAnswer: 0.1030449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-6 - -1)) + (-2 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137368 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.92. Let r = -0.8687 + 0.9687. Which is the biggest value? (a) 1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -13*z + 18*z. Let s = z + 22. Let q = s - -20. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -955, -3831, -8625, -15337, -23967?\n\"Answer: -959*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/18*40\/(-6). Suppose -s - 25 + u = 0. Let c = -12 - s. Let w(q) = q**2 - 3*q + 1. Give w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10188 divided by -59771?\nAnswer: -10188\/59771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*i + 3*h - 2*h, 2*h = i - 14. Suppose i*c = 11*c + 2. Solve -t + c = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1845 and 43\/105.\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 28. Let p be k(6). Let u = p - -35. Solve 5*h = -19 - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/18243 - -36500\/127701. Factor v*r**4 + 4\/7*r**3 - 8\/7*r - 6\/7*r**2 + 8\/7.\nAnswer: 2*(r - 1)**2*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300781617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/4 + 4*t**3 + t**2\/2 + 14*t + 22. Let c be j(-12). Let w(p) = 49*p + 13. Does 24 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000219121 to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21*4\/7*(-224)\/(-192)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -11. Let i = -9 + a. Suppose i*f + 40 = 5*y, 3*y = 4*f - 3*f + 30. What is the remainder when 21 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/12 - 7*w**3\/3 - 117*w**2\/2 - 48*w. Differentiate y(z) wrt z.\nAnswer: 2*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 + 210266?\nAnswer: 210353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36157540 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 11, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4027 * -1.9.\nAnswer: 0.76513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 22. Suppose 2*z = -s + 5*z + 67, -4*s = -2*z - 248. Suppose 3*r = -2*v + s, 2*v - 81 + 25 = -2*r. What is the remainder when v is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:12 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -15890\nAnswer: 1\/7945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 - 22 = 0. Let k(b) = l*b**2 - 12 - 2*b**2 - 5*b + 5 + b**2. What is the units digit of k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*h + 10. Suppose -2*t + h = -18. Calculate the smallest common multiple of t and (-2)\/(-8) - (-63)\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(204)\/sqrt(4))\/(sqrt(3)*2*2).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5545987\nAnswer: 1\/5545987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49.31*-3\nAnswer: 147.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n - n + (0 + 0 - 2)*(-n - 2 + 2) - 2*n + 2*n - n + (-168*n + 132*n - 422*n)*(4 - 1 - 4).\nAnswer: 457*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -h - 4, 106 = n - 4*h + 85 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103986.265 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 170*o**2 + 4*o + 3. Let f be ((-9)\/(-3) - 2)\/(-4 + 3). Is p(f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637892 - -6.\nAnswer: -637886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -378, -750, -1122, -1494, -1866, -2238?\n\"Answer: -372*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 11. Sort 5, 2\/17, a in increasing order.\nAnswer: a, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o**2 - 100*o**2 - 92*o**2 + 24*o**2.\nAnswer: -116*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 + -6)\/6)\/(2\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 156 = -48*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 959429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 12) to base 9\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -43, -2, -3 in decreasing order.\nAnswer: 3, -2, -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174922661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -939279 divided by -33\nAnswer: 28463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (7 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 6*g - g**2 + 20 - 22 as k*g + z + f*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*b + 197*b - 99*b - 2 - b**2 + 2*b**4 to the form v*b**4 + p*b**2 + s*b**3 + z + d*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**6\/30 - 8*j**2 - 57*j + 35. Let p(u) be the first derivative of d(u). What is the derivative of p(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89567?\nAnswer: 89567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39452 is divided by 9863.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*j + 6*d - d, j - 19 = 3*d. Let r(l) = 2*l - j*l + 5*l + 5*l. Let p(w) = 2*w - 7*w + 5*w + 6*w. What is r(p(q))?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -109829073\nAnswer: 1\/36609691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*m**2*w**4 + 47*m**2 - w**4 - 2*w**3 - 1 wrt w?\nAnswer: 84*m**2*w**3 - 4*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((8 - 20) + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**4 - n**3 - 11*n**2 + 68. Let b(p) = 8*p**4 - p**3 - 12*p**2 + 68. Let s(o) = 4*b(o) - 5*f(o). What is the third derivative of s(j) wrt j?\nAnswer: -312*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 576?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 3*v - 58. What is h(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1287 and 79\/429.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1222.027 + 1226. Let s = j + 0.027. Which is the nearest to s? (a) 0 (b) -0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/12 - 5*f**4\/6 - 5*f**3\/2 - f**2. Determine l so that t(l) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 0. Let p = 0.025 + 1.315. Let u = h + p. What is the second smallest value in 3, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127*114\/347472*-688\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 274. Let p = -106.3 + v. Let l = 1.7 - p. Sort l, -5\/3, 4 in decreasing order.\nAnswer: 4, -5\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15497*l**3 - 5*l**2 - 2*l + 513?\nAnswer: -92982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -1)*4\/(-10). Let a be (10 - n)*7\/(-3). Is 2\/7 + (-1028)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260*s + 22*s - 54*s - 34*s to p*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462396618.\nAnswer: 2, 3, 25688701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 346 + 110. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1 + 26)*(-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257520 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/(-45) + 5)\/((-3)\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -2, -4, 1, -3 in decreasing order.\nAnswer: 33, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 357, 1\/4, -0.5 in ascending order.\nAnswer: -8, -0.5, 1\/4, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 times -0.078?\nAnswer: -0.006786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + z + 2, 0 = 3*u + 3*z - 12. Let x be (0\/2)\/(-1*2). Suppose 3 = -c - l, x*c - u = -c + l. Solve c = -2*n - 0 - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 11*r + 24. Let p be q(7). Let t be p\/(-2)*(-6)\/36. Let w be ((-68)\/(-24) - 3)*3. Which is the nearest to t? (a) 0.1 (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ac5b9b - 8?\nAnswer: 1ac5b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 0*b + 17 - 17.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 7*u + 3*u - 3*u**2 - 3*u - 2*u**4 + 2 as n*u + j*u**2 + i + o*u**3 + q*u**4 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(250)*2)\/sqrt(5))\/((sqrt(100)*3)\/sqrt(10)) + 3))**2.\nAnswer: 16*sqrt(5) + 404\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**3\/3 - 33. Let o(l) be the first derivative of 0*l - 3 - 3\/2*l**2. Give o(k(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from khhkrrkherr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 5 - 5) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 23 = 22. Find the third derivative of -w*l**2 - 4421*l + 4421*l + 122*l**6 wrt l.\nAnswer: 14640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22023 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 2*y**3 + 0*y**3)*(y**2 + 0*y**2 - 3*y**2) - 13 + 13 + 6*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 140*c**3 + 2.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 18 + -6 + -16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -2) + 3 - -4. List the prime factors of ((-2)\/4)\/(i\/(-1104)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g\/(g\/(g*g\/g**20*g)))\/(g**(-7)\/(g*g\/(g**(-2\/13)*g)*g*g)) assuming g is positive.\nAnswer: g**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 633459456 a multiple of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 784, 1557, 2330, 3103, 3876?\nAnswer: 4649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*j + 106*j + 217*j - 6445 = -556*j. Find o such that 64\/3*o + 22\/3*o**4 + 88\/3*o**2 - 2\/3*o**j - 80\/3*o**3 - 128\/3 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 14. Let g = 33 - w. Let a = 59 - g. Which is smaller: a or 0.43?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 108*h**4 + 488*h**3 + 6624*h**2 - 38016*h - 96768.\nAnswer: 4*(h - 12)**3*(h + 2)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656551 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 79*i**3 - i**2 - i + 1. Let w be 3\/24*4*2. Let v be s(w). Suppose 0 = 3*j + 4*p + 13 - 73, -v = -3*j + 2*p. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -22. Let g = 65 + k. Let l = -34 + g. What is the nearest to l in -1\/5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12801\/4 + 3241. Let j = -94 + 95. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42055 and 92521?\nAnswer: 462605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30)*-108*(-532)\/(-1824))\/(9\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -485*r + 3. Let q(a) = -12*a. Give x(q(n)).\nAnswer: 5820*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.85 in 4, 0.3, -0.1, 60?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by 6.\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387299 is divided by 401?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/18 (b) -3\/2 (c) 8 (d) 3\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -14163.9.\nAnswer: -14164.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 u when three letters picked without replacement from sxaasayaxasysadxxuax?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -222.25748?\nAnswer: -227.25748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 21*h - h**3 + 21*h.\nAnswer: -h**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.360591 decades to months.\nAnswer: 43.27092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6 - 14 - 12*b - 6*b. Let w = -1449 - -1446. Let c(m) = -17*m - 8. Let z(r) = w*o(r) + 2*c(r). Find the first derivative of z(i) wrt i.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2407, -19294, -65137, -154414, -301603?\nAnswer: -521182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316 by 187.\nAnswer: -316\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4352 - -1.45. Round a to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6, 0*m = -m + 3*r + 5808. What are the prime factors of m?\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567 divided by 7\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491133637?\nAnswer: 7, 213019091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 12*j**2 + 14*j - 22. Let g be d(13). Let n(q) = 3*q - 1. Let m(r) = -13*r + 5. Calculate g*n(x) - 2*m(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*(-8 + 2242\/295)*(-124)\/(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {h: 1, k: 2, y: 1, m: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + -138. Let c(f) = 7*f - 2. Let z(s) = 1180*s - 354. Let o(i) = j*z(i) + 177*c(i). Let t(y) = -y**2 + 3*y - 3*y. What is o(t(w))?\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1946 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*g - 17 = 0, g = -3*y + 5 + 4. Suppose y*n - 6*n - 16 = 0. Let t(f) = 2*f**2 + 9*f - 7. Let u(j) = -j**2 - 5*j + 4. Determine n*t(i) - 7*u(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, 2\/533, -1.49?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.12627?\nAnswer: -0.12627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.531 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7)\/((-56)\/(-980))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 266 + 198 = 0. Suppose -6*d - 6 + 42 = 0. Calculate the smallest common multiple of x and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13404348 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 888 + -890. What is the fourth smallest value in 0, w, 72, 0.3?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l - b + 18 = 0, -5*l + 19 = -2*b. Let f = -1 - -1. Let m = -5 - -9. Solve f = m*o - 8, 2*r - 2*o = l*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*m**2 + 13*m**2 - 29*m**2)*(-3*m - m + 3*m + m - 5*m + 2*m + (6*m - m - 3*m)*(0 - 4 + 2)) to y + p*m**2 + d*m**3 + c*m and give d.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 4*m + 6. Let u be z(6). Let h(t) = -2*t + 3. Let x be h(u). Solve -3*q + 0*q = f + x, 2*q + 23 = -5*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9294.398 minutes to nanoseconds.\nAnswer: 557663880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -1) + 0 + 36 + 22 + -21 + -46?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y + 3*y - y)*(-687*y**3 + 686*y**3 - 145 - 77) as z*y**4 + q*y + x*y**2 + o + a*y**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8780.\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(245) + 2)*-6)**2.\nAnswer: -4536*sqrt(5) + 79704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + f - 118395, 120*f - 119*f - 59195 = -2*i. What are the prime factors of i?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12532.5 and 2.\nAnswer: 25065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18678124.\nAnswer: 2, 41, 113891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2*y**2 - 4*y - 2. Let v be b(-3). Let u(t) be the second derivative of -5\/3*t**3 + 17*t + 0 + 0*t**2. What is u(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 + 4*k**2 + 7*k + 4. What are the prime factors of x(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-44) - 238\/(-22). Let u(m) = -19*m**3 + 2*m**2 - 1. Let z be u(-1). Let l = z - v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n + 1. Suppose f = -3 + 5. Let h(o) = -4*o**3 - 2 - f*o - o**2 - 1 + 3*o**2. What is h(i) + 3*u(i)?\nAnswer: -i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6170, 3, 4 in ascending order.\nAnswer: 3, 4, 6170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/60 - 431*u**5\/12 - 583*u**3\/6 + 41*u**2 + 21. Differentiate b(m) with respect to m.\nAnswer: 6*m**2 - 4310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2080)\/442 + 124\/31.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912990 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 618464 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9523.323 millilitres?\nAnswer: 9.523323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 195*k - 7112. What is a(91)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65)*1 + sqrt(65))*5)\/(sqrt(80)*3 - (sqrt(720) - 1*sqrt(720))).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136434372 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 228 + 146*v + 67*v - v**2 + 3*v**2 + 17*v = 0.\nAnswer: -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, 0.1, 21, 0, 2\/3 in ascending order.\nAnswer: -1\/3, 0, 0.1, 2\/3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 64. Suppose r*z - 90 = -0*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 26. Let n = 4.97 + -1.97. What is the nearest to 1 in x, -33, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4*s - 41*c**2*s - 94*c**2 - 33*c + 1602*s wrt c.\nAnswer: -36*c**2*s - 82*s - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:15 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**7\/840 + x**4\/12 - x**3\/3 + 1. Let p(t) be the third derivative of h(t). What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 144. Suppose 0 = -3*q + 9 - 6. Calculate the common denominator of (v\/(q + 0))\/8 and 91\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515.14 rounded to the nearest ten?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 1\/11, -2\/9, -0.3, 3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - -1) + 1)*-1. Suppose 0 = -4*w - 103 - 197. Let p be w\/69 - -1*1. Sort p, -0.5, g.\nAnswer: g, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220222021 - -12031?\nAnswer: -220203330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 4*m + 29, -3*o = -2*m - 57. Suppose -5*u + o = 12. Let t be 12\/(-42) - 64\/(-77). Which is the biggest value? (a) u (b) 5 (c) 1\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6496*p**3 - 7*p**2 - 62*p + 235. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*4\/6*30*23\/460. Let g(z) = 5*z + 13. Let w(p) = -6*p - 13. Give r*g(q) + 4*w(q).\nAnswer: q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14 and -67\/81180.\nAnswer: 568260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/((-637)\/(-602)))\/2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/7 (c) -2\/5 (d) 361 (e) 0.4 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5270918 is divided by 195219.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + g = 3, f + 2*g = 7*g - 23. Let z(k) = 3*k**2 - 5 - 4*k**f + 2 - 4*k. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let m be 1 + 0 + (-3)\/(-1). Let j = m - c. Solve -2*t = 4*b + 20, -4*b + j*b = -2*t - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 12419?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 - 1 + 1289*c + 568*c - 456*c + 671*c + 12*c**2 to the form u*c**2 + n + s*c and give s.\nAnswer: 2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 489\/(-81) - 8\/(-216)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 2:55 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 200 + 195 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -1107, -1108, -1109, -1110?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 22310?\nAnswer: -22307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + (0 - (3 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -87. Let s = 38.36750971 + 1.63250589. Let v = s - d. What is v rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*c - 38 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*o**2 + 46*o + 10 + 53*o**2 - 3*o as i*o**2 + v*o + x and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 558. Let i = 591 - f. Is 50 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1 + sqrt(13))**2*-4 + (sqrt(39)\/sqrt(3)*-2)**2.\nAnswer: -160 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034735 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2794?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35271 + 9 + -19 + -10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g. Suppose 2*l - 14 = -5*l. Let h(i) be the third derivative of 1\/60*i**5 - i**l + 0 + 0*i**3 + 0*i + 0*i**4. What is h(n(s))?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (333\/9990)\/(1\/(-9))*-10. Suppose 23\/9*a**p - 476\/9*a - 134\/9*a**2 - 392\/9 - 1\/9*a**5 + 8\/9*a**4 = 0. Calculate a.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 5*s**5\/2 - s**4\/2 - 19*s**3\/6 - 2*s**2 - 6. Is l(-2) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313457 (base 8) to base 12.\nAnswer: 503a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1053402 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*j - 12*j + 423. Put 5, j, 0.03 in decreasing order.\nAnswer: j, 5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-176)*591410 - -4 - 0. Let f = -6724 + p. What is the common denominator of f and 17\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bzqbnlbbn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000244 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1529\/80 - -477\/16. Let c = x + -21\/2. What is the nearest to -3 in c, 4\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(1700) + ((sqrt(1700)*1 + sqrt(1700))*3 - sqrt(1700)) + 5*3*sqrt(1700))*-5)**2*1 + -4.\nAnswer: 16868249996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.1 - -3.9. Let p = i + -13.1. Let b = p - 6.899878. Round b to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2163 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.82555024 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 287?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-6))\/(-5))\/(10*24\/(-1440)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -25.9304.\nAnswer: -51.8608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 181.598?\nAnswer: 4176.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1260472, 1260815, 1261158, 1261501?\n\"Answer: 343*v + 1260129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 20 = 0, -4*n = -103*k + 108*k - 115. Solve -m - 3*m + n = 3*r, 2*r - 4*m = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 1170*f**3 + 4615*f**2 + 3450*f.\nAnswer: 5*f*(f + 1)*(f + 3)*(f + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 56, 51, 44, 35?\n\"Answer: -a**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r - 1. Let q = 28 - 23. Calculate the smallest common multiple of q*(-2 + (0 - -4)) and s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p**3\/5 + 19146*p**2 + 2070051*p\/5 + 267498 = 0 for p.\nAnswer: -10615, -21, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -23850762?\nAnswer: 95403048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let o(s) = -32*s + 20. Let t(g) = -o(g) + 5*v(g). Let f(x) = -7*x + 4. Let y(u) = -15*f(u) - 4*t(u). Let z(c) = -4*c**2. Calculate z(y(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231515?\nAnswer: 5, 19, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297098?\nAnswer: 2, 148549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 - 84*u - 15. What is r(-21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -5, -99270, -3, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116412 and 2180?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(23\/10 + (-25)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30.4? (a) 3\/8 (b) 0.4 (c) 1 (d) 2\/3 (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43741289, 43741284, 43741279?\nAnswer: 43741274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(7\/3)\/a*a*a*a\/a**9)**(-16\/7) assuming a is positive.\nAnswer: a**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -188, -196, -208, -224, -244?\n\"Answer: -2*t**2 - 2*t - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 8*l + 644 = 0. Let x be (-16)\/330 + l\/(-105) + 6. Let d = -151\/504 + 1\/72. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 36, -5, -1785.\nAnswer: -1785, -5, -4, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1077 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208633.\nAnswer: 23, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvlssu. Give prob of sequence ul.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-143)*(-5 + 6\/(-12) - -5)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.07 (b) -5 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -265*(12\/20)\/(-1). Let g = 131 - 36. Let n = f + g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.264657 rounded to two dps?\nAnswer: 70.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1969175 and 650?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034 divided by -113860?\nAnswer: 1517\/56930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*l + 6 = 0, 2*s + 15*l - 18*l = 9. What is the smallest value in 11, -1\/83, s?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 447*z - 7312. Determine g(16).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -120*v - 7. Let y be c(-2). Let f = 354 - y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 35. Suppose 1906*c = 826*c + 106920. What is the highest common divisor of v and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(2*s + 0 + 0) + 0*s + 2*s - s + 2*s + 0*s + 0*s + (0 - 1 + 0)*(-3 + 3 + 2*s) + (-s - s + s)*(-3 - 1 + 6).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(18\/(-996)))\/((-2)\/(-6)). Let o = 512 - l. Solve 4*m - 2 + o = 5*g, g = 3*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(42\/504 + 101\/(-60) + (-14)\/(-15))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 4464.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 13460?\nAnswer: 13454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 6586 = 1010. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1815101057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -18 + 3 - (-5 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 48119\nAnswer: 100\/48119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. What is the closest to 1 in d, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -13, -5278, -5 in increasing order.\nAnswer: -5278, -13, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 23*k = -p - 275714, 0 = -5*k - p + 344629. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -16, 20, 86, 182?\n\"Answer: 15*d**2 - 39*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-14))**(2\/7) assuming s is positive.\nAnswer: s**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let r(t) = 31*t + 7. Let w(u) = -u + 2. Let i(g) = r(g) - 4*w(g). Give x(i(h)).\nAnswer: 35*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 149592447 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 443 - 442. Which is the closest to -10? (a) 0 (b) 0.2 (c) -2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g, -344 = -6*t + 2*t - 3*g. What are the prime factors of t?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + 10*a - 43. Let n be d(3). Suppose 0*o - 112 = -n*c - 4*o, -5*c - 2*o = -116. Solve 5*s = -3*y + c, -5*y + 4*y = -s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010122556 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18130288.4 rounded to the nearest 10000?\nAnswer: -18130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 3 (b) 0.3 (c) 11 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s - 992. Let u(o) = -8*o + 659. What is -5*p(m) - 8*u(m)?\nAnswer: -6*m - 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-63)\/((-24)\/(-8)))\/(2\/(-32)). Suppose 11*r + 127 = a. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -24. Let z = -2\/61 - 57\/122. Which is the closest to 1\/3? (a) 0.3 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-135)\/18))\/(10\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(34)\/sqrt(2) + sqrt(17) + (-2*sqrt(425))**2).\nAnswer: -sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtmmutmxm. Give prob of sequence mt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -14 + (-10 - -22) + 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from hrrsrhrrssrr.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3)\/4*6\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)*o*o**(-5\/6)*o)\/(o**(2\/53)\/(o**16*o)) assuming o is positive.\nAnswer: o**(677\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/275 + 306\/55. What is the biggest value in a, -75, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51981 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - a, 8*x + 3*a + 10 = 13*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 0 + (34599 - 34665)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -27*g + 4. Let s be q(-3). Suppose s = -5*r + 30. List the prime factors of (r\/(-2))\/((-1)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 255*y - 1435. Let s(q) = q**2 + q + 25. Let w(j) = -3*s(j) - u(j). Solve w(x) = 0.\nAnswer: -5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 547*u**2 - 1089*u**2 + 2*u**4 + 549*u**2 + 2*u to f*u**2 + a*u**3 + o*u**4 + w*u + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*y + 78 = 0, 49 = 2*m + y - 122. Suppose 0 = -4*s - 2*f - 103 - 13, m = -3*s + 2*f. Let l = 56 + s. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 55*f + 230. Calculate g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4 + 5 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13224 + 92206\/7. Let t = -78 + 130. Let b = d + t. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89411 - -172199. Suppose -4*n + h = 5*z, 5*z + n = 3*z + 33117. Round z to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -9. Suppose -v - 2 = -a. Let l(z) = -z + 6. Let s be l(5). Sort s, a, 2 in decreasing order.\nAnswer: a, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76502)\/(-20) - 15\/150. Suppose 0 = 11*w + 4*w - d. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 48. Give s(-13).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = 6. Let z be (-1)\/(625\/(-210) - -3). Let c = z + 62. Solve -v*r + r + c = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056211 rounded to six decimal places?\nAnswer: -0.000562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmz when three letters picked without replacement from {t: 3, z: 7, o: 2, m: 5}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7*b + 10*b + 11 = 0, -b + 1 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*r - 31 + 22, 34 = 5*r + 3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 2652\/143 + (-24)\/12?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.8. Let d = 0.4 - 0.5. Which is the closest to z? (a) -3\/5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395 + -392. Solve 2*d + 21 = j*g - 0*g, 0 = 2*g - 2*d - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 2*f**3\/3 + 114. Let z(j) = -623*j. Calculate z(a(h)).\nAnswer: -1246*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6036*s**3 + 4*s**2 + 10*s + 10. Let c be u(-9). Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -20*j + 27784. What are the prime factors of j?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 274.000336 - 274. What is b rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f - 3338. Let d(m) = -2*m. What is b(d(c))?\nAnswer: -4*c**2 - 2*c - 3338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 564*q**3 - 18412*q**2 + 104244*q - 85264 = 0 for q.\nAnswer: -73, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-65)\/10 - -7)*(-8)\/(-6). Which is the biggest value? (a) -2 (b) -4 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -37, -2333 in decreasing order.\nAnswer: -29, -37, -2333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*10\/(155 + 15). Let i(v) = -v**3 + 4*v**2 - 4*v + 4. Let h = -3 + 6. Let c be i(h). Are k and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 5. Suppose g + f - 3 = 0. Find the second derivative of -i - 2*i**2 - g*i**2 + 2*i**2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -18*u + 3. Let o(x) = -7*x**3 - u + 0*x**2 + 4*x + 3*x**3 + 3*x**3 + 3*x**2. What is o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21325.\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/3 + 288*z**2 - 511*z - 561. What is the first derivative of b(k) wrt k?\nAnswer: 2*k + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101101011111010101?\nAnswer: 101101011111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.301958ml in litres?\nAnswer: 0.009301958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-21)\/54*3332\/(-5831))\/(-3 + -1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 63435 + 28565 = 0. Round o to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - 9.92. Let z = 10.8 + a. Let q = z + -0.6. What is the second biggest value in -2\/9, q, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12 + 5 + 9*s + 7. Let x(k) be the third derivative of -k**4\/12 + 7*k**2. Calculate x(d(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 13*z + 15. Suppose -12*p + p - 154 = 0. Let f(l) = 5*l**2 + 26*l - 31. Let i(n) = p*v(n) - 6*f(n). Factor i(w).\nAnswer: -2*(w - 12)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 884*k**2. Let g(a) = -308268*a. Calculate o(g(z)).\nAnswer: 84005777284416*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 q when three letters picked without replacement from {q: 2, t: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29586, 29588, 29590, 29592, 29594?\nAnswer: 29596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a57 (base 12) to base 3.\nAnswer: 11122022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 11*d - 21 = 0. Let y = 5.3 - 0.3. Suppose 7*z - 11*z + 10 = 2*o, -5*o - 47 = -2*z. Put 1\/8, o, d, y in decreasing order.\nAnswer: y, d, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 364497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 6 = 62 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 2*j**3 - 3 + 199*j - 199*j - j**3.\nAnswer: -5*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216116*h**3 + 20241*h + 34?\nAnswer: -1296696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-18)\/(-75)) + 0. Which is the biggest value? (a) 5 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 7205625?\nAnswer: 7205609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 988684 to the power of 1\/2, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85409 is divided by 14231?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 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: Let c(i) be the first derivative of 1\/6*i**4 - 2\/3*i**2 + 1\/15*i**5 - 1\/3*i**3 + 4\/3*i - 245. Find y such that c(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {p: 14, s: 5}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + -450550?\nAnswer: -450653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*-1*10. What is the units digit of (c\/(-4))\/((-11)\/(-88))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 176 = 0. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/19)*c*c)\/c**(1\/3)*c**(15\/2))\/(c**(4\/5)\/c**4)**(6\/5) assuming c is positive.\nAnswer: c**(36769\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-14)\/8. Let z(a) = 3*a**2 - 4*a**2 + 0*a**q - a**2. Let m(p) be the first derivative of 2*p**3\/3 - 1. What is z(m(i))?\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36559\/3 + 12186. What is the nearest to -1 in 82, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -24514?\nAnswer: 24505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5. Determine j(-12).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637313.\nAnswer: 17, 37489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 15*r - 7*r - 202 = 46*i + 2*i, -4*r - 3*i = 52 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-66)*18\/4. Determine t, given that 191*t**2 - 5*t**3 - 2*t**n - 200*t**2 + t**3 + 3*t**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 506?\nAnswer: 19734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/((-8)\/(-16)). Let g = -20.2 + 20.2. Which is the smallest value? (a) -0.3 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 12*x**2 - 13*x + 4. Let a be q(13). Suppose -a*m - 25 = -9*m. Let c be 2\/8 - 118\/(-8). Calculate the highest common divisor of c and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - (sqrt(7) - (2*(sqrt(7)*1 - sqrt(7)) - sqrt(7)))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 - -31. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48175 by 127.\nAnswer: 48175\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*d - 13 - 7 = 0, 0 = 2*i - 3*d + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27074, 27075, 27076?\nAnswer: 27077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150837*o**2 + 37706*o**2 - o**3 + 37708*o**2 + 37710*o**2 + 37713*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 261994055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - 2\/8. Let a(b) = 2*b + z*b + 0*b. Let x(y) = -3*y. Give a(x(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1353 and 303442271?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -227800 divided by 6700?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 15. Let v be t(14). Let o(q) = q**3 + 4*q - 8. Let f be o(0). Let s be (2\/f + 1)*6\/18. Sort 3, v, -2\/7, s in ascending order.\nAnswer: v, -2\/7, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*368178.\nAnswer: -1840890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:33 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15738.5 micrograms in nanograms?\nAnswer: 15738500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26489861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 9*j + 10. Let s(n) = n**2 - 5*n + 2. Let u be (-1 - 5)*(-4 + 3). Let b be s(u). Does 9 divide l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3339?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-315)*-6)\/((-2)\/(-480)). Solve -f*y = -94*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avaz when four letters picked without replacement from {v: 7, z: 1, a: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 6 - 31. Suppose -b*v - 30 = -3*w, 0 = -5*v - 0*v - 2*w - 55. Let t(y) = 2*y**2 + 13*y - 25. Let r be t(v). Solve 0 = 5*z - 5 - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/59 or -361?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4 + 1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536387214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/78446 and 89\/242.\nAnswer: 9491966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826958 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*c = -23424 + 24338 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179468778?\nAnswer: 2, 3, 29911463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-20)\/15. Let v(o) = o**3 + 6*o**2 + 2*o - 14. Let i be v(-6). Let f be (-108)\/i - 8\/2. Which is the closest to y? (a) f (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-222)\/(-8))\/((-349)\/(-6282)). Which is smaller: g or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a14f + 5a1?\nAnswer: 2a6f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*i + 4038 = 9*i + 4664 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 5)*1 - -3. Let c = -11 + 16. Suppose -1187*j - 1729 = -940*j. Put c, j, 0, l in descending order.\nAnswer: c, 0, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**3*y**3 + 8*r**3*y - 15*y**3 - 16*y**2 wrt y.\nAnswer: 6*r**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4\/37 (b) 8 (c) 1 (d) -4\/5 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -815, -1318, -2031, -2960, -4111?\nAnswer: -5490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 - l - 7 - 6 + 3. Let b be m(-10). Let t(a) = -a - 1. Suppose 2*c + 40 = -2*c. Let x(k) = 8*k + 10. Give b*x(s) + c*t(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 0.5, -2\/5, -4\/9, 32557?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 205.1.\nAnswer: -41.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103727 and 141804.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16*v**2. Let r(p) = -p + 8. Let a(k) = -18*k + 176. Let t(o) = 2*a(o) - 44*r(o). Calculate t(i(s)).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d - 231. Determine y(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p**2 - 7834*p + 10803. Give k(236).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t + 5. Let f be u(-4). Is (0\/(-4))\/f - -100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4262704 is divided by 2411.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2849446041.7426 + -0.5.\nAnswer: 2849446041.2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-57)\/(-9))\/(-1). Let c = 32 + v. Calculate the greatest common factor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464\/3 - 157. What is the common denominator of y and 95\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49869*v - 2938*v**2 - 49870*v + 2935*v**2.\nAnswer: -3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 + 1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5997.64 - 5998. Sort -5, h, 2\/5, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 17*c**5 + 2462316*c**4 + 289633*c**3 - 7386914*c**2 + 4055580*c + 579368 = 0.\nAnswer: -144842, -2, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-5)\/10 - (-5 - -2). Suppose 2*f - 32 = -y. Solve -9*g = -f*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 31 + 36 - 68. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46521*b + 9275*b + 9418*b + 9273*b + 9278*b + 9278*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 x, and 1 b when four letters picked without replacement from ggaxagwwbigi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 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: Let z(n) = 16*n**2 - 2*n - 1. Let m be z(-1). Suppose 2*o = 3*k + 17, -4*o + 4 = 4*k - 0. Solve -o*u + m - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwpip. Give prob of sequence iw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**2 + 21*r**3 + 34*r**2 + 43*r**2 - 119*r**2.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3160, 13469, 30926, 55531, 87284?\n\"Answer: 3574*v**2 - 413*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j + 2. Suppose 3*a - 2*a - 1 = -3*y, 2*a + 7 = 3*y. Let u be m(a). Let p be ((-12)\/24)\/(u\/20). Sort p, 0, -2 in decreasing order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 - (-4 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = 9. Let b = 3 - 3.04. Let y = b + -0.16. What is the second smallest value in m, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6951128, -6951131, -6951134, -6951137?\n\"Answer: -3*s - 6951125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 35*z**4 - 80*z**3 + 60*z**2.\nAnswer: -5*z**2*(z - 3)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5137 + 10437 = 212*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 434881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.195 - 0.114. Let l = -1.178 + 1. Let v = l + s. Round v to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-39)\/(i**2)**(-2\/29) assuming i is positive.\nAnswer: i**(4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918, 2332, 4218, 6576?\nAnswer: 9406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Is -15 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**6\/60 - m**5\/5 + 13*m**4\/24 + 49*m**3\/3 + 12*m**2 + m. Let w be p(-8). What is the greatest common divisor of 200 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 x when three letters picked without replacement from {f: 1, e: 1, c: 3, n: 3, b: 2, x: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -704 (base 10) to base 3\nAnswer: -222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 + w + 77. Let h be z(0). What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-21)\/6*16\/28. Solve -q*a + 6*a + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102124?\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Let c be r(-14). Let a = -30 + c. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (94\/(-4))\/(2\/(-1076)). Suppose 10*k - 2*y = 5*k + u, y + 5058 = 2*k. Let r = k - 7517\/3. Calculate the common denominator of r and -62\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -1, 2282\/25?\nAnswer: 2282\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 7*v**2 - 10*v - 6. Suppose -2*k + 6 = -5*k + 3*m, -2*k = 2*m. Let y = k + -7. Does 5 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (197\/4 - 2)\/((-15)\/(-80)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s - 18. Suppose 0 = 4*k - 8, -2*u = 3*u + 4*k + 17. List the prime factors of y(u).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 566134*l + 282962*l + 283172*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 5449\/9 in decreasing order.\nAnswer: 5449\/9, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 12*c**2 - c + 9. Let s be q(12). Let v = s - -7. Solve -v*f = 8, 2*p - f = 2*f - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298757 is divided by 2105.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -2*q. Let u(b) = 2*b**2 - 25*b + 119. What is the smallest common multiple of q and u(7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 16*k**2 - k + 25. What is z(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111010100110010011010000 (base 2) to base 6\nAnswer: -1305124452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let x(h) be the second derivative of -h**4\/6 + 2*h. Calculate r(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -28934.\nAnswer: -1\/28934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/1375, 4, 0.89, 0.5?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19*v - 5. Let y(p) = 18*p - 4. Let o(d) = -6*b(d) + 7*y(d). Suppose 0*f = -3*f + 2*t - 7, 2*t - 15 = -5*f. Is o(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37350 and 4565?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 18\/299 and 3\/884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*b - 8348, 9*a - 10*a + 2080 = -3*b. Calculate the remainder when a\/(-28)*(2 + (-2 - 2)) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 102\/445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99804469*h**4 - 105166573 wrt h.\nAnswer: 399217876*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)*1 + -767 + 758\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/59 in -5, -0.12, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 405 + -252. Let p(q) = -3*q**3 - 2*q**2 - 4*q - 4. Let w be p(-3). Let x = f - w. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -231. Suppose 619 = y + z. Suppose -o = 4*o - y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291438026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 4*c - 1. Let s be r(5). Find a such that -51*a + a**2 + 15 + s*a + 2*a**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 0.1, 0, -3\/367, 342?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123715 is divided by 314.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 170 = -m + 6*m + 197, 27 = 5*t - 8*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 1 (d) -7\/4 (e) 2\/255\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078112642 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 2484641.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*t - 34, 5*t - 15 = 5*o - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(637) + 0.\nAnswer: -70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 7*p + 23. Let h(g) = -2*g**2 - 4*g + 11. Suppose 3*c - 35 = 8*c. Let r(m) = c*h(m) + 3*j(m). Let o(u) = u + 1. Let a be o(5). What is r(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/2*-3. Let d(s) be the first derivative of -3\/2*s**2 + 0*s + 3 - 1\/3*s**3. Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -194*k + 185*k. Let v = 440 + -62. What is the greatest common divisor of v and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + m + 2*m)*(11*m**2 + 151 + 26010*m - 25984*m - 156) in the form a + q*m**2 + z*m + k*m**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-35 + 33 - (-417)\/322). Let y = x + 7\/46. Solve y + 9\/7*t**2 - 15\/7*t = 0 for t.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.96 - -2.96. Which is the closest to 0? (a) 17 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 0*l**2 - 5*l**2)*(-2*l + 0*l + 4*l) + (-8*l**2 + l**2 + l**2)*(6*l - l - 3*l) - 4*l**3 + 5*l**3 + 3*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/29551 - 679387\/4225793. Calculate the common denominator of h and -48\/55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 12*h - 73. Let r(c) = -7*c**2 - 14*c + 73. Let b(a) = -2*r(a) - 3*y(a). Differentiate b(u) wrt u.\nAnswer: -8*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a. Let v(x) = 37*x - 13*x - 15*x. Let r(d) = 19*d. Let o(i) = 3*r(i) - 5*v(i). Calculate o(l(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:18 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/7 + 16*o**3\/7 + 20*o**2\/7 + 8*o\/7.\nAnswer: 4*o*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - m - 13 = -34, 4*z + 7*m - 40273 = -40321 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 653333 and -0.3.\nAnswer: 653332.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -147a36 - -8?\nAnswer: -147a2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 38*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 57. Let i = 17 - 35. Let u(s) = -s**2 - 15*s + 39. Let h be u(i). Does 14 divide q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/337, 1, -0.1, -140 in descending order.\nAnswer: 1, -1\/337, -0.1, -7, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*3 + (-19)\/10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - r**2 + 0)*(124 - 1161*r + 579*r + 581*r) as z*r**2 + q*r**3 + x + i*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 198032268 to the power of 1\/2, to the nearest integer?\nAnswer: 14072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353681 to the power of 1\/2, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/7)\/o)\/o*o**(-5)*o)\/(o\/(o\/(o**(1\/5)\/o*o))*o**(3\/5)))\/((o**(-2)*o)**(1\/29))**(-41) assuming o is positive.\nAnswer: o**(-8627\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122*n**2 - 25867*n*z**2 - 1019736*z**2 wrt n?\nAnswer: -244*n - 25867*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 11*m**2 + 5*m. Suppose -5 = -5*q + 5*g, -4*g + 3 = -3*q + 5. Let j(w) = w**2 + 2*w**q + 34*w - 5*w**2 - 33*w. What is -11*j(f) + 2*k(f)?\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2587839 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 4. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.84 - -2.65. Let s = 0.3 - 2. Let j = s + y. What is j rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31225005 and 23409.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 197.7\nAnswer: 15.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*x**2 + 238*x**2 + 6*x + 829 - 3*x - 135*x**2 - 829.\nAnswer: -22*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o**1*o)\/(o**(-1)\/(o\/((o*o**(-1\/5))\/o))) assuming o is positive.\nAnswer: o**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292969398 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (244\/8 - -1)*(-12)\/(-9) is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21240198 and 56868.\nAnswer: 42480396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 24. Let j be n(0). Suppose 10*v - 44 = -j. Calculate the greatest common factor of v and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*w - s - 1, -w - 23 = 5*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) -2 (d) -0.03 (e) -0.4 (f) 73\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 92. Let r = b + -28. Suppose 5*q - i + 2*i - r = 0, 5*i + 7 = 3*q. Solve -q*s = s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from cauaaauauaaiaiu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2013, 4168, 6335, 8520, 10729, 12968, 15243, 17560?\n\"Answer: a**3 + 2148*a - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4*p - 111*m**3*p**2 - 18*m**3 - m**2*p + m**2 + 9*m - 198*p**2 wrt m.\nAnswer: -48*m*p - 666*p**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4002 and 64322.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 64 = 568. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 825722, 3302929, 7431606, 13211753, 20643370, 29726457?\n\"Answer: 825735*x**2 + 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4) - (-54)\/(-36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*y**2 - 351*y**2 - 11 - 15*y**3 to the form q*y + v + r*y**2 + t*y**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/12 - 2\/6. Suppose -1 + o = 5*f + 3*a, 2*a - 8 = 4*f. Put f, -3, 1 in descending order.\nAnswer: 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 1920*u**2\/7 - 66102*u + 917764\/7.\nAnswer: -2*(u - 479)**2*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.89 - -1.19. What is the nearest to -1 in -1\/3, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 8) to base 14.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 146.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/19 + -1\/19. Which is the nearest to q? (a) 5 (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuifffcuufukskfk. Give prob of picking 1 u, 1 i, and 1 f.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -704. Suppose -3*f = -2*k + x, 0 = -4*k + 3*f + 498 + 562. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6612578725.\nAnswer: 5, 264503149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -101110?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -592, -619, -628, -613, -568, -487, -364?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75907891623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58591836 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 10. Let b be a(-7). Suppose -3 = -5*k + 4*k. Let z(v) = -3*v**2 - 3*v**2 + 4*v**2 - 3*v + k. Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9489 (b) 12 (c) 1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 25 = 22*n, -6*n + 11*n = -v - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**3 - 9702945*l**2 - 14548820*l wrt l?\nAnswer: -60*l - 19405890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Let n = -2.55 + -0.45. Which is the nearest to 0? (a) h (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115820843 + -260.1127?\nAnswer: -115821103.1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 3) + 0\/3. Let o = 22 - y. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 17 + 62. Let s(n) = 44*n**2 - 91*n**2 + k*n**2. Let a(o) be the second derivative of 14*o**3\/3 + 13*o. Calculate s(a(f)).\nAnswer: -1568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*4*-5 + 3 + -2.\nAnswer: -180*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 - i**2\/2 + 9*i - 2187. Let m(t) = -t**2 - t + 4. Determine -5*m(o) + 3*y(o).\nAnswer: 2*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 122, 277, 500, 791, 1150?\n\"Answer: 34*n**2 - 15*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 69\/230*(-40)\/4*(-6)\/(-96)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2660 divided by 2\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/5 - 28*t**3\/5 - 294*t**2 = 0.\nAnswer: -21, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q + 204. Let s be d(-46). Let p = s - 239. List the prime factors of p.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*z - z**2 + 103*z - 94*z**3 + 23*z**3 + 106*z as x + j*z**3 + w*z**2 + l*z and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - y - 1. Let o be c(2). Let q = 13 - o. Let v be (-2)\/7*(-2)\/q. What is the second smallest value in -0.3, -6, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - (8 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 6*m - 1. Let c be r(-2). Solve 0 = -3*h + c*j, 2*h + 5 + 5 = 4*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -104b559b?\nAnswer: -104b55a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + -a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/21? (a) -0.3 (b) 3 (c) 0 (d) -5\/3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-52))\/((-15)\/(-2470)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551307439 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 21. Let w be o(-8). Let f(q) = -9*q**3 - 165. Let h(i) = -5*i**3 - 82. Let j(s) = w*f(s) - 5*h(s). What is the derivative of j(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Factor -4*u**2 - 12*u**2 + u**f - 6*u.\nAnswer: -3*u*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (13 - 6) + 0. Solve 5*x - 4*y = 0, l*x + y = -4*y + 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 31286 + 1931 = 0. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 987? (a) 0.7 (b) 5 (c) -98 (d) -0.2 (e) -2 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 - -654. What is u rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 394?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2078 - 4168 + 2078 + 6*o.\nAnswer: 6*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 - 24*c - 137. Determine d(-7).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/13 + 12*o**3\/13 - 16*o**2\/13 - 12*o\/13 + 18\/13 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -477695, -955461, -1433277, -1911137, -2389035, -2866965, -3344921?\n\"Answer: l**3 - 31*l**2 - 477680*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2676, -21575, -72946, -173049, -338144, -584491?\nAnswer: -928350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -0.2 (c) 1 (d) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13090*b**5 + 2*b**2*s - 287*b*s - 6*s - 11 wrt b?\nAnswer: -261800*b**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7644 - -2.1644. Let x = 20 + -17. What is the closest to 0 in -12, x, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -60 + 88. Is 2 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000111111000110 - 11010?\nAnswer: -1001000111111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 180*c - 11. Let g(n) = -343*n + 25. Determine -3*g(o) - 7*k(o).\nAnswer: -231*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {c: 12, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*l + 20, l - g - 15 = 2*g. Suppose -2*p + 30 = -7*q + 6*q, 128 = -4*q + 4*p. Let k = q + 444\/13. Put 4, l, k, -4\/5 in decreasing order.\nAnswer: 4, k, l, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61418000 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1072 - 25. Suppose 0 = -3*j + 3*l - 3297, 0 = 5*j - 0*l + 4*l + 5531. Let h = j + p. Round h to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 - ((-12)\/3)\/4. Let a = m - 3. Let q(t) = 2*t**2 - t + 3. Calculate the remainder when q(4) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12089 and 137375.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021211 - 424?\nAnswer: 1020232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -97, -144, -191, -238?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-6)*0 + 3. Let v be (-21)\/7*(-197)\/f. Is v <= 196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:21 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 + 15*r - 15. Determine y(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30448 - -30316.69. Round k to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-18) - 38\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8114 (base 9) to base 3.\nAnswer: -22010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b + 9. Suppose 0 = b*x + 4*d - 47, 2*x - 4*d = -0*x - 2. Calculate the remainder when 35 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(288)\/sqrt(108))\/(1*sqrt(72)*-2*-3).\nAnswer: -5*sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.24485119 to four dps.\nAnswer: -2.2449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56716593 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94981, -92600, -90219, -87838, -85457, -83076?\n\"Answer: 2381*o - 97362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*u - 159*u - 47*u + 45*u - 65*u as c*u + f and give c.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -352*x**3 - 64*x**2 + 64*x - 64. Let y(v) = -27*v**3 - 5*v**2 + 5*v - 5. Give 5*u(c) - 64*y(c).\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3119, -2553, -693, 3109, 9501, 19131, 32647, 50697?\n\"Answer: 108*b**3 - b**2 - 187*b - 3039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113037102 by 37679034.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 360 - 1189. Calculate the common denominator of 2\/(-3)*(-95)\/(-10) and u\/(-36) - 4\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Let f(p) = p**3 + 4*p**2 - 6*p - 3. Let y be f(-5). Let x be y\/(-5) - 1\/5. Which is the smallest value? (a) x (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 555406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -0.13. Let i = -21 - -9. Let u = -17 - i. Which is the closest to -1? (a) u (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0 + 0*t**2 - 211*t + 0*t**5 + 4\/21*t**7 + 0*t**3 + 0*t**6 - 173\/12*t**4. Find the third derivative of p(l) wrt l.\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10945679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0814*836.5.\nAnswer: -68.0911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1407 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/9 + 6)*84\/(-28) - 455\/(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - n = n + 78, 0 = -5*s + 2*n + 180. Let f be 2\/(-4) - s\/4. Let i(k) = -3*k - 5. Let a be i(f). What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 7 - 23. Let t = 5 - 2. Suppose 0*g = t*g + 18. Is m at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2056 - -2059. Suppose 5*h = -1 + 21. Let z be ((-8)\/1)\/(-2) + 1. Solve 5*c + l = h*y + 21, 12 = -z*y + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 24. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12970 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/172, 0, 2\/5?\nAnswer: -5\/172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 9*d + 11*d - 486, 0 = 3*d. Let r be (2\/(-6))\/(3\/j*-6). Sort -1, -5, -11, r in ascending order.\nAnswer: -11, -5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 = 9260\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -100\/4890439?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 273764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -39 + 9 + -42\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*x + 20 = 0, 5*a - 2*x - 3 = 22. What is the remainder when (24 - 10 - (9 + -2)) + (-34)\/(-2) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1303953)\/(-105) - (-6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396533061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1318, -5309, -11960, -21271?\n\"Answer: -1330*j**2 - j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*u**2 + 283*u**2 + 161*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((12\/(-40))\/(-1))\/(48\/(-64)). Let w = -16 + 16.9. Which is the second smallest value? (a) -1\/2 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0134 * -827147\nAnswer: -11083.7698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*v + 6897 = -37*v + 127*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j**5 - 88*j**4 + 42*j**3 + 172*j**2 + 32*j = 0 for j.\nAnswer: -1, -1\/5, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 1, e: 6, f: 7}. Give prob of sequence eff.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 7. Let w be h(-9). Suppose -5*p + 2*z + 7 = -28, -w*p = 2*z. Which is bigger: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -831, 2, 4 in descending order.\nAnswer: 4, 2, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 136\/10 - (-50 + 56) - 8. What is the closest to 1\/3 in -4\/23, n, 3, -2\/7?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-5 + 9 + (-1 - 2)). Suppose 81*w - 77*w - 536 = c. Let m = w + -131. Solve m*l + 16 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32566 = 99*w - 2011220 - 1849983. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 6. Let t be 80\/14 + 2\/7. What are the prime factors of g(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10884007.\nAnswer: 31, 351097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 18}. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 16 = 15*u. Find a, given that 10*a**2 + 18*a + 3130 - 18*a**3 + 12*a**u - 2*a**4 - 3150 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Let f(c) = 23*c + 38. Let h(y) = -8*y - 13. Let t(i) = 6*f(i) + 17*h(i). Let g be t(-5). Sort 0, x, g.\nAnswer: g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6\/3659, -0.1 in descending order.\nAnswer: 1, -6\/3659, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -19 - 7 + 55*z - 24 - 13*z**3 + 29*z. What is the derivative of p(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/144*-105 - 8\/32 - 59?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 203.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose 0 = -3*r - n, 0 = -7*v + 3*v - r + 19. Suppose 2*w - 23 = 4*m - 3*m, -80 = -v*w - 2*m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5018*y + 3503 = -4905*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 0.3, 0.04?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 + 122 - 4 - 75*h**2 as x + p*h**2 + f*h and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13178 = 3*a - 5*f, -35*a = -37*a - 2*f + 8764. List the prime factors of a.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 24 and -1627.97 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 3*j - 3. Let i(c) be the second derivative of -3*c**4\/4 - 5*c**3\/6 - 5*c**2\/2 - 43*c. Determine 3*i(p) - 5*r(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 76. Suppose 887 - 2560 = -f*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -42\/13, 3\/7, -3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 + 188. Calculate the smallest common multiple of (-2)\/(8\/(-79)) + i\/(-64) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 26*y**2 + 122*y - 47. Determine b(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -5, 0.4, 38, 2\/23, 8\/9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19 + -5 + -2)*(-2)\/6. Let v be 9\/4 - (5 + 19\/k). Solve 5 = -j + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14947 + -13708. What is the least common multiple of s and 1947?\nAnswer: 13629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*t + 168 = 0, 3*t = 5*r - 7*r + 351. What is the remainder when r is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*j + 20. Suppose 2*n = -8, a + j*n - 6*n = -22. What are the prime factors of (a\/3)\/(1\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50192, -49893, -49240, -48107, -46368, -43897, -40568?\n\"Answer: 21*s**3 + 51*s**2 - s - 50263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2632)\/(-3102))\/(44\/726).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 597359 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -778, -6110, -20584, -48772, -95246, -164578, -261340?\n\"Answer: -762*o**3 + o**2 - o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4919.\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5 - 12*z + 11*z + 2 + 0. Calculate the smallest common multiple of d(-10) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/18*(-24)\/936.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5357*c + 12 + 88 - 22876*c - 16827*c. Let b be k(-15). What is b rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 + 5934*m**3 + 342783*m**2 + 6001476*m + 27242124 = 0. What is m?\nAnswer: -1919, -26, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -63963\/100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2*m**2 + 0*m**2)*(-2*m + 0*m + 3*m) + 8*m**2 - 8*m**2 - 6*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 403765326?\nAnswer: 1211295978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345, 667, 977, 1269, 1537, 1775, 1977, 2137?\n\"Answer: -a**3 + 329*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r - 9. Let p be q(-7). Let s(g) = -6*g - 1 - 1 + 5*g + g**2. Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2799553.26 to the nearest ten thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 656 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*n - 47542, n + 4240 = -3*j + 75560. What are the prime factors of j?\nAnswer: 2, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exxx when four letters picked without replacement from {e: 2, x: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5384 divided by -673\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41233980, -41233976, -41233972, -41233968, -41233964?\n\"Answer: 4*t - 41233984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15638 - 6246. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17272 + 7.88232. Round g to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2218*q**3 + 57672*q**2 - 374946*q + 676 = 0.\nAnswer: 2\/1109, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -4809539?\nAnswer: -72143085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3)*r*r)\/r**(-2\/7)*(r*r**9)\/(r\/(r*r**(9\/5))*r) assuming r is positive.\nAnswer: r**(598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85254 and 162?\nAnswer: 2301858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 12 = 0. Let a be (-3)\/((-2)\/(-1) - u). Suppose 3*o + 0 = 3*n + a, 2 = n. Calculate the smallest common multiple of o and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + 5 - 4 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/629 + -35837\/10064. Find the common denominator of b and 73\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = -2*o + 3, 0 = -2*o + l - 5. Let j be -4 - 2\/5 - o. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 119.4491 weeks?\nAnswer: 72242815680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 132*h**2 - 502*h - 265. Let c be o(60). What is the greatest common divisor of c and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 - 8*b**3\/3 + b**2\/2 - 6*b - 11. Let n be d(8). What is the highest common divisor of 14 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -937? (a) 4 (b) 12 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 - -7)\/(-20) + (-45)\/2. Let g = r - -121. What is the greatest common factor of g and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-5 + 3))\/1. Suppose 0 = 4*u - h - 86, -u + 11 = -l*u + 5*h. Calculate the highest common factor of u and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -3*x - 2*z, -x + 5*z - 76 = 3*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*h + 110*h - 2*g = 29, -5 = 3*h + 2*g. Put 11550, h, -2 in increasing order.\nAnswer: -2, h, 11550","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/2829 and -61\/33.\nAnswer: 31119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -362 - 2*h**2 + 362. Let y(n) = 4*n - 3. Let o be y(2). Let f(j) = -j - 5*j + o*j. Determine w(f(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:40 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/10*-5*1 + 12. Calculate the greatest common factor of 88 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 21. Suppose -p*q + 9 + 3 = 0. Factor -24*i**3 + 0*i**2 + 28*i**q - 8 - 4*i + 8*i**2.\nAnswer: 4*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1094341099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 16. Suppose -4*o + 1 = -2*d - 1, -w*o + 5*d + 15 = 0. What is the fourth biggest value in o, -4, 1, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 25672112.\nAnswer: -1\/25672112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -0*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 302.92. Let x = 0.1 - 0.14. Let s = q - x. Put 4, -4, s in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/451 - (2\/3)\/(861\/28476).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 4) + (-2)\/(0 - 2). Let y(l) = l**2 - 2*l - 21. Let c be y(b). What is the second derivative of -45*r + 228*r**c - 114*r**3 - 119*r**3 wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8165*v**3 + 8165*v**3 + 2*v**4 + 3 + 125*v + v**2 in the form s*v**3 + h*v + o*v**2 + d*v**4 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 + s - 318. Let c be j(-6). Solve 20*x - 23*x = -3*t - 3, c = 4*t + 5*x - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 10.8, 5, -2\/3, 3\/5?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -95, -142, -223, -350, -535, -790?\n\"Answer: -2*y**3 + y**2 - 14*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -228. What is the greatest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 96*c**2 + 25*c + 1. Let b(y) = 193*y**2 + 54*y + 2. Determine -6*b(k) + 13*n(k).\nAnswer: 90*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813 is divided by 368?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2148*v + 42218 = 229*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*s + 65, -2*s + 17 = -0*h + 3*h. Let k = s - 9. Let w be (13\/2 - 2)*2. Solve 4*a + k + w = 3*n, -4*a = 4*n - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3574 - -2464. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - 8*p + 9. Let f be a(6). Suppose 1697 = -5*w + 4*k, 6*w - 3*w = 4*k - 1023. Let g = w + 341. Put -1, g, f in increasing order.\nAnswer: f, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -23, -10, 5?\n\"Answer: x**2 + 8*x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 3) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (-19 - -14). Solve 0 = 4*r - s + 3*s + 22, 0 = s + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 - 5)*(6*j - 2*j + 4*j).\nAnswer: -312*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 833, 825, 811, 791, 765, 733, 695?\n\"Answer: -3*p**2 + p + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 4, -3\/8, 12, 0.1 in ascending order.\nAnswer: -3\/8, 0.1, 2\/13, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21818.\nAnswer: 2, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*(s**(-3\/5)*s)\/s*s*s)*s\/(s\/((s*s**(-2\/15))\/s)))**45)**(3\/23) assuming s is positive.\nAnswer: s**(-342\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:00 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132188567*g**3 + 264377172*g**3 - 132188606*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 3*(sqrt(637) + 2 + sqrt(637) + 4).\nAnswer: 11 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -52447067*y**2. Let d(f) = -3*f**2. Give s(d(p)).\nAnswer: -472023603*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6910 by -5.\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*j**4 + 2 + (-2 + j + 2)*(2*j**3 - 2*j**2 + 2*j**2) + 4*j**4 + 0*j**4 - 3*j**4 + 2*j**4 + 2*j**4 - 2*j**4 - 4476*j**4 + 1142118*j - 1142118*j.\nAnswer: -4473*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 15*z - 3. Let n be p(14). Let s(r) = 13*r + 11*r - 63*r + n*r. Let h(m) = 3 - 3 - 9*m. Determine 16*h(q) - 5*s(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96843, 96411, 95979, 95547?\nAnswer: 95115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27388?\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359902246 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkl when three letters picked without replacement from {l: 9, k: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9795 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let g(t) = t**2 + 7*t - 7*t - 2 + 1. Let p be g(2). Solve 3*u - b = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*a = 50, -2*h + 3*a + 9 = h. Suppose 257 + 543 = -h*j. What are the prime factors of 2\/((-8)\/j*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 5. Let f be i(4). Let d be (3 + (-11)\/f)*-3. What is the first derivative of d - 5*u + 6*u + 0*u - 3*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 23*f**5\/5 + 7*f**3 + 32. Find the third derivative of k(h) wrt h.\nAnswer: 552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 26. Let c be m(4). Let q be (-3)\/4 - (5 + c\/(-8)). Let d = 15 - 11. What is the second biggest value in 5, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 964*j - 4. Let a be d(1). Find the common denominator of 20\/15 - 1556\/a and -59\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53868592 and 7856.\nAnswer: 7856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025280207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6838, 4, -4\/9, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2*d + 3. Let r be t(3). Suppose 0 = 2*b - r, -2*x = -3*x - 4*b + 69. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:09 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -25. Let v be 462\/39 - (-2)\/j. Suppose 0*q = 2*n + q + 3, -3*q - 9 = n. Solve n = -r - s + 2, r - 2 - v = -5*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.916 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446712.\nAnswer: 2, 139, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 12 - 12. Which is greater: v or -2\/333?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010110000100111101100 (base 2) to base 3\nAnswer: -12022022010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, 1916?\nAnswer: 1916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223230816.\nAnswer: 2, 3, 71, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1100 + -1099. Suppose 85 = 3*b - 5*l, 8*l - 160 = -4*b + 3*l. What is the units digit of i + b\/(-25) - 402\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 20*h - 104. Let g = -1 + h. Let p(u) = -u**2 + 5*u + 16. What is p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-1*sqrt(150) + sqrt(6)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-10) - 7\/70. Let f be (-154)\/(-14)*(o + -36). Let i = f + 578. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/10 - y**4\/18 + 9*y. Determine u so that k(u) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451653 (base 11) to base 10\nAnswer: -719524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*g - 1 - 35, -13 = 5*t - 3*g. Let w = 1.9 - 2.3. Let i = 38 + -191\/5. Which is the nearest to -0.1? (a) w (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 + 104*n**2 - 724*n - 27068. Let h(a) = -5*a**3 - 94*a**2 + 725*a + 27061. Let x(w) = -4*h(w) - 3*v(w). Factor x(g).\nAnswer: 2*(g - 20)*(g + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12247902 + -15098?\nAnswer: 12232804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h - 20*h**2 + 0 - 25\/24*h**4 - 19\/6*h**3. What is the first derivative of s(z) wrt z?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1384608 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 + 21*i**2 + 27*i**2 + 3*i**3 - 42*i**2 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 194.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7077 + 94953 = 1833*m - 2451 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*h - h, 2*h - 8 = -2*d. Determine v, given that 1\/2*v**3 + 3\/2*v**4 - 2*v**5 + d*v + 0 + 0*v**2 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.34 (c) 6\/41 (d) 3185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6916*o**3 + 38*o**2 - 6669. Let p(i) = 532*i**3 + 3*i**2 - 513. Let s(v) = -3*l(v) + 38*p(v). Differentiate s(n) wrt n.\nAnswer: -1596*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Suppose 5 = -3*b + x. What is the least common multiple of 7 and (1 + -2)\/(b\/10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 39. Determine c(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w + 249. Let z(i) = -6*i**2 - 3*i - 2. Let d be z(-5). Let r = w - d. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/12)\/f))\/(f**(-1\/3)*f*f))**(-40)*((f\/(f**2\/f))**(-5\/6))**15 assuming f is positive.\nAnswer: f**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000133302 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 169, 278, 443, 670, 965, 1334?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -5 (c) -2\/15 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 8*f**3 + 7*f**3 + f**3 - 2*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47 - 5637908105\nAnswer: -5637908058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:50 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtr when three letters picked without replacement from rtttttttrtrttr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:59 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z = -10677, 11*q - 5*z - 7004 - 16487 = 0. Calculate the greatest common divisor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-27*6))\/((-41)\/(6273\/(-51)))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (5*sqrt(176)\/sqrt(8))\/(3*sqrt(1584) + sqrt(1584)) + 3.\nAnswer: 5*sqrt(2)\/48 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 11)*(6*q**3 + 7*q**3 - 5*q**3) + q**3 - 4*q**3 + 5*q**3 + (0*q**3 + 2*q**3 - 3*q**3)*(4 - 4 - 2) - 2*q**3 + 0*q + 0*q - q**3 - 3*q**3 + q**3.\nAnswer: -65*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -5. Let f be ((-72)\/15)\/d*5. Solve f = 2*g - 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*m + 3 = -5, -3*p = 4*m + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 15*x**2 + 3*x + 35. Let v = -142 - -127. Let n be k(v). Let r(p) = -p**3 - 9*p**2 + 9*p - 7. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, 0.5, 4, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 0, -9 = -3*l - 5*u. Suppose -4*x + 2*z - z = -155, -l*x + 5*z + 112 = 0. Calculate the remainder when x is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 55 = -5*y - 4*d, 3*y + d - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2066572 (base 9) to base 3.\nAnswer: 2002020122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*16\/80*(-4)\/(4\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 + 98*g**2 - 42*g - 119633 wrt g.\nAnswer: -6*g**2 + 196*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5 + 9831*l**4 - 205467*l**3 + 1104081*l**2 - 966330*l - 2285712 = 0.\nAnswer: -1, 3, 6, 13, 3256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*y + 1, -5*i + 8*y = 5*y - 12. Suppose -i*g + 2473 = -3227. What is g rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 8. Let j(r) = 2*r - 9. Let i(o) = 4*j(o) - 5*l(o). Let n(h) = 4*h + 3. Let m(k) = 4*i(k) - 5*n(k). Let p(z) = -2*z. What is 2*m(q) - 9*p(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 23*u = 3*q + 21, u = q + 5. Let h be 38\/(-6)*(-30)\/(-20). Put u, h, -2\/15, -0.5 in decreasing order.\nAnswer: -2\/15, -0.5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-1)\/8*-1 - 1. Suppose -33 = -3*s - 3. Let q = -34 - -34.4. Which is the biggest value? (a) s (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/720 - m**4\/12 - 2*m**2. Let d(x) be the second derivative of t(x). Let r(z) = -z**2 + z**2 - 2*z**2. What is d(r(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 414131.142 to the nearest one thousand.\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2540 and 21045170?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 2. Let b be f(2). Let c be 1*b\/2 - -9. Let m be (c\/21)\/(1\/3). Which is bigger: m or 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.002 in 2, 39, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9386 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(35 - 19 + 99)*(0*i**2 + 0*i**2 - i**2) as d + h*i**2 + u*i and give h.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzddszzzws. What is prob of picking 2 s, 1 d, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**4\/24 + o**3\/3 + 2*o**2. Suppose -4*w + t + 12 = -1, 2*t - 6 = 0. Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 3323311?\nAnswer: 3323201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2319 + -0.5319. What is the fourth smallest value in -1, -2\/7, r, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(60)\/(sqrt(3)*-2))\/(sqrt(20)\/(sqrt(15)\/sqrt(3)) - 2*sqrt(36)))**2 + -5.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -757, -1513, -2269, -3025, -3781, -4537?\n\"Answer: -756*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Let h = -3390 - -3388. Let d be ((-9)\/12)\/(27*2\/(-16)). What is the fourth smallest value in s, -3\/7, h, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*((sqrt(77) + sqrt(77)*3 - sqrt(77))*3 + sqrt(77)))\/(1*(sqrt(1331) + -4*sqrt(1331) - sqrt(1331))*2))**2.\nAnswer: 39375\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 75 = -3*y, 23207*y - 9 = 23210*y + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31490 and 1410.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(288) + -1)*3 - (0 + -2*sqrt(288) + ((-1*(1 + sqrt(288)))**2 - sqrt(288))).\nAnswer: -274 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3767*y = -3729*y - 1178 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6 - 660\/(-40). Is d*(-16)\/(-48) + 3499\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 6 (c) -1\/2 (d) -0.7 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5646 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 - 5*b - 12. Let q be s(-5). What are the prime factors of (-453)\/(-12) - 3\/q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from foosfkssffs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 13 = -3. Let q = 18 - 13. Let f(s) = -s**3 - 6*s**2 - 2*s - 1. Let o be f(-6). Solve q*h - o = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795 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: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41283 = -90*c + 189*c. Calculate the remainder when c is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 210, 15\/49?\nAnswer: 15\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9838000 - 9838000 + 133*b**3.\nAnswer: 133*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 1. Let p(v) be the third derivative of v**4\/6 + 5*v**2 + 265*v. Determine x(p(c)).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -19*g**3 + 29*g**2 + 5*g - 32. Let y(t) = -7*t**3 + 10*t**2 + t - 11. Let v(l) = -3*o(l) + 8*y(l). What is v(6)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b - 2*b - b)*(-2 + 1 + 2) + 0*b + 0*b + b - 1)*(-66*b**3 - 79 + 79).\nAnswer: 66*b**4 + 66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 21890176320842.\nAnswer: 21890176320842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012696 is divided by 2391?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 4*c + 5. Let o be j(0). Let t(z) be the first derivative of 3*z + 11 - 10 - 3*z**o + 12. What is the derivative of t(l) wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5960 - 6?\nAnswer: 5956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8120000 to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(3 + sqrt(405)))**2 - ((4*sqrt(405) + -1)**2 - sqrt(405))).\nAnswer: 143 + 945*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193900 and 3500?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - -1.4. Suppose 3*i = 33*i + 35*i + 1430. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 10. Let d be n\/(2\/8*-1). Solve -5*m + 31 = d*l, -3*m - 2*l + 0*l = -17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8*x = -4*x + 16, 26 = -4*i - 5*x. Is i at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1600 + 17*u - 151*u**2 - 13*u - 1675 + 71*u**2 - 132*u**2 wrt u.\nAnswer: -424*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21100 != -21099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 18*g - 14. Let u(r) = -2*r**2 - 15*r - 13. Calculate 4*j(q) - 5*u(q).\nAnswer: 2*q**2 + 3*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m. Let d(t) = 9*t + 11. Let z(l) = -2*l - 2. Let u(q) = -2*d(q) - 11*z(q). Determine u(o(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65013154.\nAnswer: 2, 373, 87149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*n**3 + 14*n - 307.\nAnswer: -21*n**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57405.80512 + 0.068235?\nAnswer: -57405.736885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/13)\/q**(-28))\/((q\/(q\/(q\/q**(-16\/9)*q)))\/((q**(1\/8)*q)\/q*q)) assuming q is positive.\nAnswer: q**(24085\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 4*s - 3*s)*(2 - 3 + 2)*(17 - 14 - 11) - 2*s + 360 - 360 to the form c*s + a and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1943\/6 + 54\/324. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2110 = s, 368*o - 366*o = s + 4226. Does 92 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.8 - -23. Let n = -2.32 - i. Let x = n - -0.466. What is x rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 0*f**3 - f**3 + (-2 - 4 + 7)*(-3*f**3 + f**3 + 0*f**3) + 709*f**3 - 217*f**3 - 1564*f**3.\nAnswer: -1073*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)\/f)\/f)**(20\/3)*(f**(-1\/4)*f)**(8\/7))**(5\/2) assuming f is positive.\nAnswer: f**(-1135\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n\/(n*n*n*n\/((n*n**(-2\/37)\/n*n)\/n*n)*n))\/n)\/n)*n)**7*n**(4\/31)*n**(-34))**(-7) assuming n is positive.\nAnswer: n**(-68306\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:50 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-4 + -2 - -7 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10048 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v**2 - 544*v - 2372. What is j(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375, -1454, -1561, -1708, -1907, -2170, -2509?\nAnswer: -2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 5*z + 1. Let t = -11 + 8. Let w be 13\/t - 3\/(-36)*4. What is the tens digit of f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91982?\nAnswer: 2, 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/59)*k)**(-5\/7)*((k**(-1\/5)*k)\/k)**(-18) assuming k is positive.\nAnswer: k**(4534\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*w + w. Let m be (-1 + -1)\/(24\/w). Which is the second biggest value? (a) 0.5 (b) -5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309 and 1253922.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -95, -148, -201, -254, -307?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*m - 2*o, -5*m = o - 5 - 12. Suppose 12 = -m*q + q. Let u(a) = a + 8. Determine u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-12)\/108)\/((-5)\/45))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*u - 46*u + 604 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 3*t**2 + 3*t - 3. Let a(k) = -6*k**3 + 8*k**2 + 8*k - 8. What is 3*a(u) - 8*z(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 159911 - 35089. What is b rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-540)\/(-1310)) - -2. Let b = 53\/2 - n. Factor -1\/3*c**3 - 5\/3*c**2 - b*c - 4\/3.\nAnswer: -(c + 1)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + b = -b, 20 = -f + 4*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3183*y**2 - 1592*y**2 - 1590*y**2.\nAnswer: y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*h**2*p**2 - h*p**3 + 8*h - p**3 + 1476*p**2 with respect to h.\nAnswer: 258*h*p**2 - p**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/4 + -2 + 1517185\/370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2152 and 45944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 2*a**2 - 2*a**2 + (2*a - 2*a - 3*a)*(252*a + 198*a - 120*a)*(2*a + 2*a - 3*a)*(-2*a - a + a).\nAnswer: 1979*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1144.91 or -33\/14?\nAnswer: -33\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.18754 to two dps.\nAnswer: -35.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8670*m + 147*m**5 + 330*m**5 - 8665*m + 17332*m + 280 wrt m?\nAnswer: 9540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(5))**2*1 - sqrt(60)\/(sqrt(12) - -1*sqrt(12) - sqrt(12))) + 1.\nAnswer: -sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 378 + 1350. Let y = z + 505. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 117078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -27*w**2 - 53*w + 2. Let k be r(-2). Which is bigger: k or -1\/465?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-99)*((-16)\/72)\/((-4)\/108)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 3, q: 4, x: 5, t: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -5, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y = 12185 + 46603. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 15, -0.04, -555, 0.4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3, 0*r + 67 = r + 2*x. Let i = -2 + r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17 - 33 - 134 + 5242*m - 5207*m + m**2. Let f = -16 + 26. What is the smallest common multiple of t(-39) and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-1 - 2) + 19 - 15).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 1, m: 2, p: 1, a: 2, i: 1}. What is prob of picking 1 i and 2 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -360 - 97.64\nAnswer: -457.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/7 + 153*c**4\/7 - 12*c**3\/7 - 612*c**2\/7 = 0. What is c?\nAnswer: -51, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681499*i**3 - 3363853*i**3 + 1682355*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -2*q**6\/21 + 17*q**5\/35 - 65*q**3\/21 + 32*q**2\/7 - 12*q\/7 + 628. Let r(a) = 0. Calculate a.\nAnswer: -2, 1\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*v + 2, 38*r - 47*v - 56 = 41*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, 4, 88, 163, 1 in increasing order.\nAnswer: -20, 0, 1, 4, 88, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-8994788832105\nAnswer: -8994788832105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - 1) + (-72 - -68).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*c**3 - 217*c**2 + 43008*c + 1.\nAnswer: 1554*c - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*l + 40 = 1038, -l = -5*h + 1007. Let g = h + -210. Which is bigger: -9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 10*y**2 + 36*y - 24. Let o be u(-13). Suppose o*a = -89 + 749. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let y(s) = -4 + 4 - 4*s + n*s. What is the units digit of y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/12*128\/(-224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -59480\/257 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*v**2 + 11*v**2 + 173*v**2 + 102*v**2 to the form c + q*v**2 + u*v and give q.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 162*u = -11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -9. What is the common denominator of 15\/p*(-4)\/(-7) and 55\/(-3) - (0 - 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 20257?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - n = 70. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1229 - -1586. Is b a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w. Suppose w = 2*y - 0*y - 4. What is the highest common divisor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 4*v**2 + v**2 - 2*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*r + 2*p - 890, -537 = -2*r + 3*p. Suppose 0 = 3*v + 3*f - r, 6*f + 184 = 2*v + f. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 320.124 - 0.030264.\nAnswer: 320.093736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Let t = p - 3. Find x such that -1\/2*x**t + 1\/2*x**3 + 1\/2 - 1\/2*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o - 2. Let c be (-2 - (-13)\/7)*o. What is the nearest to c in 0.3, -0.2, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*s - 7*s - 3255, s = 4*y - 840. Let w = -540 - s. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.4 - 115256430.139.\nAnswer: -115256392.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6968 - -7365. Solve y = -19*o + 378 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4) + 0)*2682\/(-745). Solve 2*z + t = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5) + 1088\/(-80)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 46*j**2 + 51*j + 777. What is the tens digit of x(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280520*w**3 - 1191151*w**3 + 227864*w**3.\nAnswer: -1243807*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*k*s**3 + 7*a*k*s**2 - 3*a*k*s - 133*a*s**3*u + 2*a*u - 2*k*s**2 - 285*k*s*u + 63*k*s wrt u.\nAnswer: -133*a*s**3 + 2*a - 285*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*q**2 + 2*q + 4*q**6 + 2*q**2 + 10*q**6 - 5*q**6 wrt q?\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2779900905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 h, and 1 d when four letters picked without replacement from {h: 3, i: 2, p: 1, s: 2, q: 5, d: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -1.76006 * 28\nAnswer: -49.28168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-12) - 2\/(-12). What is the units digit of ((-15)\/i)\/(-1)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -454502 and -1247225.5.\nAnswer: -1701727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -195, -390, -581, -768, -951?\n\"Answer: 2*q**2 - 201*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 10. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186880 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2*((-14)\/4)\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 7203*f**5 + 116424*f**4 - 204135*f**3 - 5190660*f**2 + 17887872*f - 12616704 = 0. Calculate f.\nAnswer: -592\/49, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(176) + sqrt(176))*3)**2 + 0 + sqrt(176) + -3 + 1*1*(-4 + 1*sqrt(176))**2.\nAnswer: -28*sqrt(11) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20551129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3463, -3173, -2885, -2599?\n\"Answer: -g**2 + 293*g - 3755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -59*k - 1. Let j(m) = -1. Let w(g) = -2*g + 3. Let y(t) = 3*j(t) + w(t). Give y(d(f)).\nAnswer: 118*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 10. Solve -p*d = -2*s - 10, -3*d = -2*s - 5*d + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1 + (3 - 1)). Let l(j) = j**3 + j**2 - 3*j - 2. Let k = 609467\/8 + -76185. Calculate the common denominator of k and l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -546 - -910. Let g(x) = -362 + 5*x + d - 4*x. What is g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 34*v**3 + 727*v**3 + 168 - 317.\nAnswer: 693*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510478?\nAnswer: 2, 19, 92381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -591111 less than or equal to -590762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - m. Let s = 1 + 0. Suppose -2*r = s + 1. Let g(c) = -2*c**3 + 5*c**2 - c + 2. Let b(x) = r*h(x) - g(x). Calculate b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1509? (a) -4 (b) -1\/7 (c) 20 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*m - 5 = 5*m, -5 = -3*z + 2*m. Suppose 5*l - 5 = -z*q, 5*l = 5*q - 2 - 3. Let x = -1 + l. Which is greater: x or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 9\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2296, 2669, 3092, 3589, 4184, 4901?\nAnswer: 5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 149200590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 - 0 - (-267)\/(-12). Is 6\/33 - 3164\/z a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7))**(-2))**(15\/11))**42 assuming q is positive.\nAnswer: q**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**37)\/(j\/(((j*(j*j*j**24)\/j*j)\/j)\/j))*(j**(-12)\/j)\/j**36)**(1\/7) assuming j is positive.\nAnswer: j**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111100010010 - 100?\nAnswer: 100001111100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -19088\nAnswer: -19089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -839 (b) 0.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - g**3 + 0*g - 617*g**2 - 2 - 4*g**4 + 618*g**2 in the form z*g + a*g**2 + l*g**3 + h + v*g**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/(66\/48)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkjkkkkkkkykj?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*a + 68*a + 74*a + 409*a.\nAnswer: 815*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = k, -2*y + 3*k - 15 = -2. Let c = -2 + 7. Let z be 93\/33 - (3 - 0). Sort z, c, y in decreasing order.\nAnswer: c, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 52*p. Let h be v(1). Suppose 0 = k + 4*w - 36, h - 8 = 3*k - 4*w. Suppose -k = 7*u - 2*u. Let d(f) = -f**2 - 3*f + 2. Determine d(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218349793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-3 + (-5 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -542502673 - 1?\nAnswer: -542502674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (-8 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(10\/(-15)*-4)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**2\/13 - 731540*l\/13 - 487696\/13.\nAnswer: 2*(l - 121924)*(3*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31690974 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222672050 rounded to the nearest one million?\nAnswer: 2223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179222468 by 3381556.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54 + -74 - (-5 + -7). Let p(n) = -7*n - 1. Let s(w) = -20*w - 2. Give l*p(z) + 3*s(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {f: 2, l: 6, x: 4, p: 2, i: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, 55, 299, 777, 1567?\n\"Answer: 13*s**3 - 3*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.007434 or 4.75?\nAnswer: -0.007434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2311 + -12012?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4\/5*z**5 + 276\/5 - 586\/5*z - 118\/5*z**2 + 106\/5*z**4 + 318\/5*z**3 = 0.\nAnswer: -23, -3, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -923 - -977. What is the highest common factor of o and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.545 + -0.045. Let j = y + -20. What is the biggest value in -1, -7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 8*i**2 - 10*i - 2. Let w(n) = 3*n**3 - 9*n**2 + 11*n + 1. Let d(j) = -6*t(j) - 5*w(j). Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*g = g - 15, 20 = -4*n + 5*g. Let r = n - -10. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 9*w**2 - 7*w - 2. Determine h(10).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*g**3 - 36288*g**2 + 753324*g - 4060760.\nAnswer: 4*(g - 11)**2*(31*g - 8390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from {s: 4, u: 1, m: 1, p: 3, j: 1, l: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 28. Let j(b) = 5*b - 18. Calculate -6*d(v) + 11*j(v).\nAnswer: -11*v - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24262452 - -4?\nAnswer: -24262445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -188\/3. Let p = -97 + 97. Which is the closest to 2? (a) 1 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -138203.\nAnswer: -552812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1284, -5403, -12364, -22167, -34812?\nAnswer: -50299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 489, 964, 1439?\n\"Answer: 475*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817741251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:49 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*156390\/46917?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 39*f - 1. Let z be i(1). Suppose 3*j - 4*j - s + 16 = 0, -2*j + z = 5*s. Suppose 3*t - j = t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487 + 3879\/8. Find the common denominator of 25\/14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 66*a + 59*a in the form x*a + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1 + -26 + -28 + 6 + -13\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k = 36*k - 6*k - 405 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/(-164))\/((-3)\/22)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, f: 10}. Give prob of sequence fffy.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 105. Suppose 7 = 2*h + f, -5*h + 2*h = -5*f - m. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 10. Suppose 38 = 2*j + 10. Suppose -j - 2 = -4*s. Solve 0 = s*k - 2*y - n*y - 20, 3*k = 2*y + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.5 - -37. Sort 2\/7, 0.4, l in descending order.\nAnswer: 0.4, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - 45. Let r = 19982 - 19974. What is the lowest common multiple of r and x?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -20 + 17 + 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -1, 5 in decreasing order.\nAnswer: 5, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -246, -0.0787, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/63026066 or -1?\nAnswer: -1\/63026066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/(6248*720\/105600).\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -479, -483, -487?\n\"Answer: -4*h - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.3 + -19.3. What is the nearest to f in -0.3, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*z = -2683*z + 99379 + 38574 - 35713 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 9*w**2 + 14*w + 10. Let s be i(7). Let l be s\/5 + -1 + 2. Factor 7*r**3 - 3*r**3 + 36*r - r**l + 18*r**2 + 24.\nAnswer: 3*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 601*o**2 + 601*o**2 + 591*o**2 - 2*o - 1784*o**2.\nAnswer: 9*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 9*d**2 + 6*d + 8. Let r be v(-9). Let z = r + 1. Let k = z - -83. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22312732 divided by 338?\nAnswer: 66014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15460 - 15403. Let p = 25 - 10. Calculate the remainder when z is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11137, 12250, 13365, 14482, 15601, 16722, 17845?\n\"Answer: x**2 + 1110*x + 10026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 74932?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 56*h. Let c(g) = -76*g + 247. Let k(t) = -5*t + 13. Let d(p) = -c(p) + 19*k(p). Calculate i(d(r)).\nAnswer: -1064*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391\/120 - 25\/8. Let k = 60 - 60.352. Let c = k - 0.648. What is the closest to c in 0, 4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/4 + 3*f**3\/2 + 9*f**2\/2 - f. Let x(d) = 2*d**2 + 8*d + 8. Let c(o) = -3*n(o) + 4*x(o). Determine c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.001, -3, -2.1?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 716605 = -4*a, -19*o + 22*o - 3*a - 102390 = 0. Does 47 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)*v*v\/v**(-4\/21)*v**(19\/4)\/v*v*(v*(v**14\/v)\/v)\/v)**(-21\/8) assuming v is positive.\nAnswer: v**(-583\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31025 + 54171. Suppose -20*g + n + 19794 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 78 = -0*q. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2608153 - 2608151.8000045. Let w = 4.4 - 3.2. Let z = y - w. What is z rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503910 is divided by 125870.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s**5\/4 - 31045*s**4 + 12086039*s**3 - 1138751528*s**2 + 905207872*s - 180655616 = 0. What is s?\nAnswer: -5336, 2\/5, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 624, 29\/16, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*r - 5*s, 4*r - 3*s = -2*s - 1. Is 5\/(120\/(-124) + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -18 + 1\/60*q**5 + 0*q**2 - 4\/3*q**3 + 0*q + 1\/360*q**6 + 0*q**4. Let j(o) be the third derivative of m(o). Factor j(s).\nAnswer: s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693 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 d(y) be the third derivative of y**5\/30 + y**4\/8 + 2*y**3\/3 + 12*y**2. Let u be d(4). Suppose 32 = 4*s - u. What is the least common multiple of 118 and s?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 5}. Give prob of picking 3 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**4 + 11*a**3 + a**2 + a - 6. Let x(t) = -4*t**4 - 32*t**3 - 2*t**2 - 4*t + 20. Let d(m) = -10*o(m) - 3*x(m). Let d(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/15)\/(1\/(-3)). Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = w - 0 - 3, -2*h = -2. Let z = 60 + w. Calculate the greatest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*((-12)\/40)\/3)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182218982 to the power of 1\/3, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 e when three letters picked without replacement from eeeebbrbrbebbbreerr.\nAnswer: 245\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t - 7. Suppose 2*v + 27 = -3*f, -5*f + 8 = 23. Let d be s(v). Suppose 4*q + 3*p - 10 = 0, 0*q + 8 = 4*q + 4*p. Solve q*b + d = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -972*i - 665*i - 626*i + 92*i as f*i + y and give f.\nAnswer: -2171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t, 3*h - 16 = h + t. Find the first derivative of n + 14*n**4 + 1 - h*n**4 - n wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1\/3))**35\/(r*r*r*r\/(r*r*r**1*r))**(1\/27) assuming r is positive.\nAnswer: r**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-44) - 1 - (-2)\/(-8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x**2 + 5*x + 4. Let v be c(5). Suppose f + 4*s - 20 = -v*f, -2*s + 12 = 3*f. Solve f*l - 4 = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/11 + 40*g**3\/11 + 250*g**2\/11 + 500*g\/11.\nAnswer: 2*g*(g + 5)**2*(g + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 - (1 + (-11 + 11 - 40)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -381204, -381098, -380992?\n\"Answer: 106*j - 381310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2914227, 23313838, 78684209, 186510720, 364278751, 629473682, 999580893?\nAnswer: 1492085764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 62 - 32 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 7584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**2 - u - 7. What are the prime factors of j(5)?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 < -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 1, 1387?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 8. Let t = 299 + -298. What is the highest common factor of t and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.071 and -0.0938?\nAnswer: -0.0066598","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -73, 2\/57, 0.1, 5, 0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0) + (-2 - -3). Suppose -4*f - 136 = -4*y, 2*f + y + o*y = -62. Let b = 13 - f. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 + 12 + 0*z**2 - 9*z + z**2 - z**2 - 2*z**3 + z**3. Let w be m(9). Calculate the highest common divisor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u - 3*l + 87, 0 = -u - l + 21. Suppose -x + u = 5*a, 5 = 5*x - 15. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b81 + -4?\nAnswer: -9b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10848036 - -4?\nAnswer: -10848032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - -57. What is the remainder when f is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g + 4 - 4)*(27*g + 7*g - 8*g) in the form p + y*g**2 + j*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 161 - 21\/2*d**2 - 37*d**3 - 21*d. Let z(k) = 11*k**2 + 2*k + 2. What is 2*h(a) + 21*z(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48605150 and 6627975.\nAnswer: 145815450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55967 (base 13) to base 7.\nAnswer: -1215023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429981, -429982, -429983?\nAnswer: -429984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*d - 817 = 406*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (-146)\/(-28))\/(8\/28). Which is bigger: j or -44?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a - 2. Let i = -4.079 + 0.079. What is the third biggest value in -0.3, i, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(2\/3). Suppose 2*z = 2*w + 110, 0 = -3*z - 4*w + 2*w + 140. Calculate the remainder when z is divided by (-1)\/(-2)*s*26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/2310 + 7*n**6\/660 - 13*n**5\/165 - n**4\/11 + 48*n**3\/11 + 429*n**2. Find a, given that l(a) = 0.\nAnswer: -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312\/2464*(-4)\/10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 - 8 = 4*m. Let z = 66 - m. Let s(y) = -16*y**3 + 2*y**2 + 9*y + 7. Let t be s(-1). Solve z*r - t = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2898.4, 5 in decreasing order.\nAnswer: 2898.4, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 20*s**4 + 9864485*s**3 + 1216352037000*s**2 + 304087392720*s = 0.\nAnswer: -246612, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**3 + 69*b**2 + 35*b - 203. Calculate m(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*m = 3, -5*w + 5*m - 6 = -1. Suppose w = -0*t - 4*t - 12. Let o(f) = f**3 + 2*f**2 - 4*f - 1. What is the remainder when 5 is divided by o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5009 + 35121\/7. Calculate the common denominator of m and -47\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w**(18\/7)*w**(-8\/11)\/(w\/(w**(9\/4)\/w)*w*w) assuming w is positive.\nAnswer: w**(3725\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 241.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*t**4 - 915*t**3 - 2898*t**2 + 15072*t - 13440 = 0. Calculate t.\nAnswer: -5, 8\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 344083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = p + 3*p. Let w be 2\/12 + 1 + 22\/12. Suppose -5*v - 5 = c + c, -p = -c + w*v. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/270 + 11\/6. Suppose -3*d + 0*w - v*w = -118, -3*w = -6. What is the greatest common divisor of 608 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/7*((-36)\/(-8))\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/15, -4, 0.817?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 - 160*c**4 - 875*c**3 = 0. What is c?\nAnswer: -25, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3629 and 32279.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 6893*h**2 - 131420*h - 635904.\nAnswer: (h - 23)*(h + 4)*(h + 6912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1021 + -1019. Solve 0 - h = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6648 and 792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -7 + 2*r**2 + 6*r + 1\/3*r**3. Let t be f(-4). Solve n - t*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5138 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/11 + 26304*n\/11 + 61381854\/11 = 0.\nAnswer: -10119, -3033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -20) + (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 + 542204*d - 11386480\/3.\nAnswer: 4*(d - 7)*(d + 406660)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*x - 18 = 145*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 - 59*u**3\/3 + 46*u**2 + 42. What is the second derivative of p(q) wrt q?\nAnswer: 6*q - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5))**(-2\/23) assuming m is positive.\nAnswer: m**(-2\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67547915 by -15965.\nAnswer: -4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -3*x - 1, -5*x = -2*g - 15. Suppose -2*i + x*z = -20, z - 44 = -4*i + 6*z. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 7*m**2 + 7*m - 3. Let f be h(6). Suppose -3*p - f + 0 = 0. Let l(r) be the third derivative of -5*r**4\/24 - r**3\/6 - 3*r**2. Determine l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 12 - 27)*(1 - a - 1).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2574 = 3*w - 2625. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2785300 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 330 = -5*l, 8*u = 3*u + 3*l + 863. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 72, 139, 212, 279?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0 + 1\/60*r**5 + 1\/6*r**3 + 1\/12*r**4 + 2*r + r**2. Let x(k) be the first derivative of y(k). Solve x(v) = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*x + 107*x - 88*x to a + m*x and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 214759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/271? (a) 5 (b) 31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 + (18 - -1). Let y = 1712 + -722. Suppose -15*g + y = -10*g. What is the highest common factor of g and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188461894111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*c + 32*c + 0*c - 2*c to l*c + j and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 + 1 = 0, 0 = 4*u - z - 578. Find the common denominator of (1 + 220\/u)*-3 and -55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33932.55 or 0?\nAnswer: 33932.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 9*c + 6*c)*(c**2 - 1 + 1)*(-4*c + 6*c - 4*c).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6) + 1*sqrt(384))\/((sqrt(3) - (sqrt(60)\/sqrt(5))\/sqrt(4)) + sqrt(3)).\nAnswer: -4 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121591 rounded to the nearest 10000?\nAnswer: 10120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 21*x + 16. Let s be u(20). What is the units digit of 6\/s*(-1326)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 638178*h - h**3 - 638314*h + 1276492*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 2*z - 18, 4*u + 2*z = 12. Let l be (-3 + 5 - -3) + -3. Suppose 4*j - 5*j - 10 = -u*t, j + t = l. Solve 5*o + 4 + 6 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 9, y: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 45. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164344.\nAnswer: 2, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 31*v + 2 + 0*v - 29*v**2 + 4 - v.\nAnswer: -30*v**2 + 30*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 327354332 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5\/7 - 178*o**4\/7 - 312*o**3 - 1414*o**2 - 1960*o = 0?\nAnswer: -28, -7, -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/112 and -127\/9054696.\nAnswer: 18109392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*p = 10, -3*i + 2*p + 3 = 1. Suppose 2*l + 4*x - 9*x + 5 = 0, -i*l + 3*x + 1 = 0. Put 0, -4, l in descending order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/39 + (-70)\/(-286))*1. Let p = t + -47\/33. Sort -0.4, p, 5\/3, -1.\nAnswer: p, -1, -0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3642419 and 19591?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*l - 6 = 0, 6 = 4*f - 0*l - 2*l. Suppose f = -i - 3*i + 592. Let d be 1*i + -2 + -2. Calculate the highest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**3\/3 + q**2 + 1934*q. Calculate a(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 136?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(96)\/sqrt(3))**2 + sqrt(288) + (-2 + sqrt(288))**2).\nAnswer: -1620 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/720 - r**5\/120 - 15*r**4\/8 - 29*r**2 + r. Let m(p) be the second derivative of l(p). What is m(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 1. Suppose 0 = -n + 6*n - 40. Let p(w) = 3*w + n*w + 0*w - 3 + w**2 - 6*w. Give p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by 1\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230454 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/252)\/((-89)\/11214)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmjjjjjjmmjjjjj. What is prob of sequence mj?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16432 + 9197 = 634*f + 2805 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11454209 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 6408*g + 19242 = 0. What is g?\nAnswer: -3207, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 = -3*a + 5 + 70. Let f = 28443 + -28318. Calculate the highest common divisor of f and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/20)\/2*1. Let p = 1.3 - 0.3. Let o = p - 2. Which is the nearest to o? (a) v (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001558926 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + 2*c**3 + 2*c**2 + 319*c. Calculate m(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = r + 3*a + 22, -5*r - 4*a - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 7*r - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(22)\/(sqrt(77)\/sqrt(112))*2.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k - 34. Give q(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -14, 2.541, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 + 0*t**3 - 3*t**3 + (-4*t**2 + t**2 + 2*t**2)*(-21*t + 14 - 14) in the form h*t + c + a*t**3 + o*t**2 and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 40268*x + 40268*x - 68*x**2 - 4.\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.05175.\nAnswer: 0.1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - 434. Calculate the remainder when (-1)\/(-2) + c\/(-12) + 5 is divided by 10\/((1\/1)\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -45, -157, -365, -699, -1189, -1865, -2757?\n\"Answer: -5*h**3 - 3*h**2 - 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 744 = -729. Sort n, 1\/6, 2\/7, -3 in descending order.\nAnswer: n, 2\/7, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 bigger than -31\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 6 - 6)*(-7 - 6*s + 7) - 2*s**2 + s**2 - 2*s**2 + (2 - 4 + 4)*(-4 + 0 + 3)*(-s**2 + 3*s**2 + 3*s**2) as t*s + h*s**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954 + 988 - (4 + 53).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 24, 8, -14, -42?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 5*a)*(-4 - 2 + 3)*(-97*a + 7*a - 124*a).\nAnswer: -1284*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose -12 = -w*v + 3. Let o = -7 + v. Is o <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-28) - ((-60)\/63)\/10. What is the fourth biggest value in -1\/8, -4, g, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**20*q**(3\/8)\/q*q**(-2\/15))**(-12\/7) assuming q is positive.\nAnswer: q**(-509\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -215. Let f be 5\/(-95) + (-1598)\/(-38). Calculate the highest common divisor of f and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 10*i + 18. Let h be k(3). Is 618\/4 - h\/(-18)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**7\/35 - i**3 + 7*i**2\/2 + 6. Let l(n) be the second derivative of r(n). Differentiate l(s) with respect to s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1650)\/(-1100))\/(-1*(-3)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14082*u**3 + 14002*u**3 - 28077*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*y + 8, y + n + 17 = -n. Let k be (2358\/(-2))\/((-85)\/10 - y). Let d = k - 299. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 39 = -585. Let c = 64 + -381. Let a = s - c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7708 + 1994 = 7*m. Suppose -11*k = -4*k - m. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 2. Let u(k) = -2*k - 5. Let d(i) be the third derivative of -i**5\/60 + 3*i**4\/8 - 5*i**3\/3 + 7*i**2. Let f be d(9). Give f*g(r) - 4*u(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 103502.\nAnswer: 8\/51751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 23 = 4*o, -3*o = -o + 5*h + 11. Let w = -4 + o. Suppose -z = -w*z - 4. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13\/6 - 5\/2. Put -2\/11, b, -0.4 in increasing order.\nAnswer: -0.4, b, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 251 = 741. Let o be -4 + 7 + 1 + -4. Suppose 0 = -5*a - o*a + i. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1505.5 * -0.2341.\nAnswer: 352.43755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -9. Suppose x + 11 = -g*y, -16 = -2*x - 2*x - y. Which is the closest to 1? (a) 2 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from {l: 7, k: 1, f: 1, t: 5, w: 5}?\nAnswer: 175\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - 25) + (-2 - (9 - (-18 - -33))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 29846 - 14023 + 83051. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + x + 5. Let v(b) = -5*b**2 - 4. Let q(m) = -2*r(m) - 3*v(m). Calculate q(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m**2\/9 + 3040*m\/9 - 44\/3 = 0 for m.\nAnswer: 1\/23, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-3 - -10) + -19 + 6 + 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11043531 (base 6) to base 15.\nAnswer: 6884d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8434719*n**3 - 5*n**2 - 19485329?\nAnswer: -50608314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than 61?\nAnswer: 61.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + q - 2)*((-5 + 3 + 0)*(-2 + 4 - 1) - 791 + 1123 + 946) to the form w*q + f and give w.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*a - 19 + 44, 8 = -s + 2*a. Suppose 5*q + 5*t + 45 = 0, -4 = 2*t + s*t. Let h = q - -24. What is the greatest common divisor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 819.8749t?\nAnswer: 819874900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925051?\nAnswer: 925051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2577 - -16151?\nAnswer: 20750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -1557, -0.4, 1, 0.7, 0.2, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/134616 and 163\/18375084.\nAnswer: 36750168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 0.3 (c) 888 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.19 - -55.09. Let g = -0.069 - 50.931. Let b = g + m. Which is smaller: b or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {d: 1, z: 1, g: 1, c: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let p be y(5). Let t be -4 + -1*1\/p. Let s(l) = 4*l - 18. Let a be s(5). Put t, a, -5 in descending order.\nAnswer: a, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723910201?\nAnswer: 7, 17, 157, 38747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 11:19 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36623.31, 1\/4, 1\/7, -2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/47671 or 1?\nAnswer: -8\/47671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -6 - (-297 + 208).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -44 (c) 11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 - g. Let m be s(-1). Let q = -5 + m. Round q to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*v**3 + a*v**2 - 11*a*v - 187*a + 30408154*v**3 - 436*v + 1 wrt v.\nAnswer: -12*a + 182448924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.135 - 483924324.\nAnswer: -483924324.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*m = -14, -3*m + 11 = z + 2*m. Let p(g) = -g + 9. Let b be p(6). Suppose -z = b*c - 68. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 6*d = -11*d + 48576. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38835.\nAnswer: 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -316 divided by 10\nAnswer: -158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27196, -54451, -81756, -109099, -136468, -163851, -191236?\n\"Answer: 2*q**3 - 37*q**2 - 27158*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = -2*i. Let u(d) = d**2 - 6*d + 7. Let v be u(5). Solve i*c = c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2742 = -15*b + 21*b. What are the prime factors of b?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 268*h + 27. Is t(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/60 - r**4\/24 + r**3 - r**2. Let l be k(0). Suppose -l = -j - 0*j. What is the smallest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:13 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*y - 27, 0 = -21*p - 5493*y + 5491*y + 136 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40517\/3 + 3\/9. Suppose 2*b + 5*c - 9015 = 0, 3*c - a = -3*b + c. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6056)\/2904*234\/30. Let r = z - -8\/121. Which is smaller: r or -16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2*n + 12. Let x(y) = 4*y**3 + 173*y**2 + 42*y - 46. Let u be x(-43). Let z(d) = d**2 - d + 6. Calculate u*j(r) + 5*z(r).\nAnswer: -r**2 + r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.000101 - -1522194652.\nAnswer: 1522194651.999899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 7. Let i be p(4). Let v = -2 + i. Let r(g) be the third derivative of g**6\/120 + g**5\/12 + g**4\/8 + 7*g**3\/6 - 92*g**2. Calculate r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -21. Factor -f*q + q**2 + 4*q**2 + 18*q + 6 + 4*q**2.\nAnswer: 3*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-2 - -16) - 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.2. Let p = 2.7 + -1.7. Which is the second smallest value? (a) p (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1494, 3025, 4606, 6261, 8014, 9889, 11910?\nAnswer: 14101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -294, -282, -250, -192, -102, 26, 198?\n\"Answer: l**3 + 4*l**2 - 7*l - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1722.1 + 1722.100007763. Round r to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-189 + 183)\/(10\/35 + (-23)\/7). Solve 20*k - z = 138 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - 2) + 0)\/(6\/(-16)). Let r be 760*6\/(-16)*q\/(-6). Let u = r - 11399\/30. Which is the nearest to u? (a) 4\/3 (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1088)*-6 + 1.\nAnswer: -144*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.995 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 16 = 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10398 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-86)\/6)*(48 - 22022\/455)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) 15 (c) 5 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2048271 and 202.\nAnswer: 413750742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 64 + 296. What is the highest common factor of s and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 + (-18)\/6. Suppose -2*k + 1 - 3 = 0. Let o be 5 - (0 + 3 + k). What is the second smallest value in m, o, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.04, 3\/4, 3\/8, 4, 95\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57513720694 less than -0.01782?\nAnswer: -57513720694.01782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4223 + 761?\nAnswer: 778.4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/604759 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 10. Let h = -0.7 + -3.3. Which is the smallest value? (a) 3\/2 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3)\/b**(4\/3))\/(b*b**(-2\/7))**43*((((b\/(b**7\/b*b))\/b)\/b)\/(b**(-5\/3)\/b))**(-45) assuming b is positive.\nAnswer: b**(4451\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209))*-5 + (sqrt(209) - 5*sqrt(209)*3))\/((sqrt(66) - (-2*sqrt(66) + sqrt(66))*4)\/(sqrt(6) + (sqrt(48)\/sqrt(4))\/sqrt(2))).\nAnswer: -28*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-164)\/(-287))\/(4\/42) + 2. Solve f = 4*f - s + m, 0 = -3*f + 4*s + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1 - 5*i + 4*i - 4 + 6. Let a be d(-1). Put a, -3, 3 in descending order.\nAnswer: 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.2 take away 0.0217?\nAnswer: -244.2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1153 + -4?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528.793 weeks to nanoseconds.\nAnswer: 319814006400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20825947949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67510.48g?\nAnswer: 67510480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 38. Let i(t) = -t**3 + 7*t**2 - 2*t - 12. Let j be i(6). Let a be (-2)\/j*48\/(-40). What is the closest to 0 in a, p, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 793058.\nAnswer: -1586116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.52178 rounded to one decimal place?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, -4, -2, 4 in ascending order.\nAnswer: -8, -4, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {r: 1, i: 3, e: 3, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1105.\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 42*f**3 - 35*f**2 + 35. Let q(o) = -7*o**3 + 6*o**2 - 6. What is -35*q(z) - 6*y(z)?\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = 2*l. Let a(b) = l*b + 6*b - 10*b. Let t(h) = 2*h. Calculate a(t(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 6) to base 13\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130458083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12298? (a) 0.0602 (b) -1\/9 (c) 0 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 19, -3, -41, -14 in decreasing order.\nAnswer: 19, -3\/4, -3, -14, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = v + 4*t, -201 = -885*v + 902*v - 5*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167065406?\nAnswer: 2, 41, 43, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 10\/(-8). Let f = -17 + 22. Sort f, y, -3 in ascending order.\nAnswer: -3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2210 and 3445.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/273 - 4\/(-14).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + -10?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -4*h, -5*h + 15 = -2*z - 0*z. Which is the fourth biggest value? (a) h (b) 0.2 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 - 123. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13847 - 13741) + 1142\/(-11)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113, -231, -349, -467, -585, -703?\n\"Answer: -118*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and 16603772441.\nAnswer: 16603772434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399806*g**3 + 298490*g**2.\nAnswer: 2398836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 16*z = -5*b + 765, 0 = -4*b - 9*z + 612. Solve 518 = -73*p + b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*i - 74 = 0, v + 2*v = 3*i + 54. Calculate the greatest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -3\/2*x**2 - 2\/3*x**3 - 2 - 4*x + 1\/4*x**4. Let u be (-4 + -2)\/(1 + -3). Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*i + 144, 5*i = i + 2*t + 144. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhl when three letters picked without replacement from lhhhhhlhhhhhhhl.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7268.\nAnswer: -1\/3634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28588986*r**2 - 38433308*r.\nAnswer: 57177972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(17\/(-4))*5\/2. Suppose -i*f - 15771 = -31*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 3 (c) 5\/2 (d) 2 (e) -1\/124 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9*1\/(-3))\/((-9)\/(-12)). Solve 3*m = -2*d + p, -2*d = -8*m + 3*m - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 18*c - 23. Let s be m(-19). Let f be -5 + s*(-135)\/(-10). Let g = -59 - f. Is g bigger than 8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 7)*(-1 + (-3)\/(-2)). Suppose y*t = t + 36. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 2 = -16*h. Solve -b = -5*q - 13, -h*b + 4*q - 1 = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.4, -146?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g - 180. List the prime factors of g\/(-171) - 4155\/(-57).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*s - 5)*(4*s - 4*s + 2*s)*(6343*s**2 - 4331*s**2 - 8683*s**2)*(2 + 1 + 1 - 2*s).\nAnswer: 53368*s**5 - 106736*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 + 4\/9*w**2 - 16\/9*w = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 172, 1343, 3290, 6019, 9536, 13847, 18958?\n\"Answer: r**3 + 382*r**2 + 18*r - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224200 + -1233433?\nAnswer: -2013133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1162 - -1260. Let x be 36\/(-6) + (2 - -2). Let j be 72\/6 - x\/1. Calculate the greatest common divisor of n and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v + 5*m = 10, 0 = -m. Find s such that 3*s**3 - v*s**3 + s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/13 - 164*x**4\/13 - 4080*x**3\/13.\nAnswer: 2*x**3*(x - 102)*(x + 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + h + 22 - 30 = 0, 5*h - 8 = -4*r. Solve 4*s - 2*g = 2, 0*s = -s - r*g - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from qyqyyyyqyqqyqyqyqq?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 30 + 6 = 0. Let d be 3\/5 + 141\/15 + y. Let v be (12\/(-8))\/(6\/(-16)). Solve -v*u + 0*u - d = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -5 - 2) + 699. Calculate the highest common factor of 212 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (2 + -1) - (32 - 9 - 10) - 125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3069, -2\/13, -2 in decreasing order.\nAnswer: 3069, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 0.118\nAnswer: -0.02124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*x - 30 = 2*c, -3*c + 5*x + 118 = 0. What is the third derivative of -64*s**5 - 175*s**2 + 29*s**5 - 7*s**6 + c*s**5 wrt s?\nAnswer: -840*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444152269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (19136\/(-816) + 10\/85)*72\/21\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 4:15 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -665 + 665.309. Let o = i + -0.089. Is 0 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -130. Let v = h - -100. Sort v, 0.104, 0.5 in ascending order.\nAnswer: v, 0.104, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 0, 1 in descending order.\nAnswer: 1, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130 - 19322?\nAnswer: -19452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1664974184723.43+-2\nAnswer: -1664974184725.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 8 - 0. Let k(w) = 3*w**3 + 4*w**2 + 15. Let q(y) = y**3 + y**2 - 1. Let l(b) = d*q(b) + k(b). Find the first derivative of l(x) wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 2. Let w(q) = -3*q - 2. Suppose -383*v = -389*v + 24. Calculate v*l(s) - 3*w(s).\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 3*s + 11, -5*b = -s - 13. Find the third derivative of 3*c**2 - c**2 - b*c**5 - 4*c**2 - c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - k + 2*k in the form v*k + l and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -338.9?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-4)*z)\/z)\/z)\/z**10*(z*z\/(z**(-3)*z))**(2\/63) assuming z is positive.\nAnswer: z**(-370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10))\/(2\/20). Let y(c) = -c - 7. Let d be y(u). Sort 0.5, 4, d, 52 in ascending order.\nAnswer: d, 0.5, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23685.\nAnswer: 3, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -36 + (-630)\/21 + 58. Let u = -1 - 4. Is m >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 - 2*f + 1. Let j(t) = 5*t**3 + 2*t**2 - 5*t + 6. Let k be j(3). Suppose 2*x = -2*x - k. Let l = -39 - x. Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 4*f - 7*f**2)*(112*f**2 + 126*f**2 + 96*f**2) to p*f**4 + c*f**2 + u*f + s*f**3 + n and give p.\nAnswer: -2338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 + 4. Calculate the remainder when 204 is divided by f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-30)\/(-720))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-373*j**2 + 532*j**2 - 392*j**2)*(2*j + 0*j + j)*(5 - 5 + 4) to the form p*j**2 + f*j**3 + g*j + u and give f.\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - ((-120 + 139 - (-5 + 0)) + -92).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/70 - u**5\/10 + 6*u**2. What is the third derivative of p(v) wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 7*m**2 + 8*m. Let n(i) be the second derivative of 0*i**2 + 7\/6*i**3 - 1\/2*i**4 + 1\/10*i**5 + 4*i + 0. Determine 7*n(j) - 6*t(j).\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 3*q + 2. Determine x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977322 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(3\/2))*f)\/(f**(-6\/7)*f))**(-1\/16)\/((f\/(f\/(f\/f**(-1))))\/(f\/(f\/f**6*f)))**(-5\/2) assuming f is positive.\nAnswer: f**(-1727\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 6 + i + 1 - 3*i**3 - 3*i**4 + i**4 to the form f*i**3 + k*i**2 + g*i + c*i**4 + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.9 - 163.1. Which is the nearest to -1\/3? (a) i (b) 1 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 7097, 1, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-36)*-3*(-16)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*(-61*n + 16*n + 22*n) - 1 + 1 - 3*n + (-2 + 3 + 20)*(4*n + 2*n - 4*n) in the form y*n + h and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = d + 15 - 76, 138 = 3*d - 3*c. Solve -11*g = 6*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 108*f - 53*f - 1 + (1 - 1 - 2*f)*(0 + 4 - 2) - 2*f - f + 5*f.\nAnswer: 53*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2527 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**5 - n**4 - n**3 - n - 1. Let h(g) = -14*g**5 - 10*g**4 - 8*g**3 - 4*g**2 - 14*g - 10. Let t(z) = h(z) - 12*o(z). Suppose t(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 9*s**2 + 60 - 29 to the form q + f*s**2 + j*s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (3 - 0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 268\/(-56)*(-25)\/(-20) + (0 - -6). Let k(t) = -t + 2. Let i be k(1). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*k**2 - 138*k**3 - 11*k**2 + 82*k**2 - 156*k**2 + 137*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-1508)\/(-20))\/((-3)\/(-5)). Let n = 126 - o. Let m = 3.6 - 4. Which is the smallest value? (a) m (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 - 7*p - 4. Let d be o(-2). Let i(m) = -7*m**3 - m**2 - 5*m - 2. Let r(u) = 6*u**3 + u**2 + 4*u + 2. Let f(z) = 4*i(z) + 5*r(z). Give f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 706, 688, 670?\n\"Answer: -18*k + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49*m**3 - 15*m**3 + 7*m**3)*(-3 - m + 5 - m) to the form p*m**4 + u*m + t*m**3 + b*m**2 + z and give t.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d + 2*f + 13, 0 = -2*d - 4*f + 6. Suppose -4*q - 4*w + 444 = -2*q, -5*q + 1082 = d*w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4228.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -3, 5 in ascending order.\nAnswer: -3, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5, -4*g - 260*v + 23 = -263*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -271*k - 2983. What is c(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 316.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 27945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 - c**3 + 4*c**2\/3 + 4*c.\nAnswer: -c*(c - 2)*(c + 2)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6)*(-1)\/1*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = k - 2*k. Let o = k - -18. Suppose -o + 15 = 3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 674, 3, 100, 4, -5 in decreasing order.\nAnswer: 674, 100, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 799*o = -54*o - 100680 for o.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/11 + 299\/44. Let l = 1965755 - 137605577\/70. Let a = l + 16\/35. What is the common denominator of k and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10821?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-26) - 77\/154. Which is the nearest to 1\/3? (a) -0.4 (b) 5 (c) -10 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -5\/24, 1 in ascending order.\nAnswer: -2.3, -5\/24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149395372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011021110 - -10010?\nAnswer: -110011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7826*i + 39132. Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a\/a**(-8)))\/a*a**(-8)\/a)\/(a\/a**(-2))**(-2))\/(a\/a**3*a\/(a\/(a*a*a\/a**10)*a))**(5\/7) assuming a is positive.\nAnswer: a**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35452 + 35444.3598. Let k = 0.6462 + z. Let l = 7.2 + k. Round l to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/3 - 3*h**2\/2 - 113*h. Let q be 9\/(4\/32*6). Let c = -8 + q. What is t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0) + 3 + 17. Suppose 3*g = j - s, j = 2*g + 9 + 8. Is (-119)\/(-4)*(-3 + j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92535234 from -35.4.\nAnswer: 92535198.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.269 + -89816631345.\nAnswer: -89816631345.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:53 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgsgcgscccb. What is prob of sequence sbs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*d + 54, -2*d - 3*c = 2*d - 94. What is the greatest common divisor of d and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 6:45 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 8, 0 = 5*g - 4*o - 28 + 5. Solve 0*q - 4*q - g*a = -3, 5 = -q + 5*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(126)\/sqrt(7) + (sqrt(2) - (sqrt(98)*2)**2)) + sqrt(256)\/(3*sqrt(8)) + 4)*-5.\nAnswer: -80*sqrt(2)\/3 + 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, 701, 1556, 2413, 3272?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190575 is divided by 289?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, a: 2, e: 1, l: 1, s: 2, x: 3}. Give prob of sequence oaao.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - -0.76. Let x = 0.7 - i. Put -5, x, 5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12346 (base 8) to base 5.\nAnswer: 132400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -4*j, -21 = a - 5*a - 5*j. Let d be 2\/4*(-42)\/35. Do a and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 15) to base 11.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.497 times 0.3?\nAnswer: -0.7491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.3, 3, 5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -69 (b) 3\/2 (c) -1\/4 (d) 3\/5 (e) -19 (f) 2.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(11) - sqrt(11)*1)**2 + (sqrt(44)\/sqrt(4)*-2 - sqrt(11)) - (sqrt(11) + -4 + (-1*sqrt(11))**2 - 1*(sqrt(11) + 0)))*-1.\nAnswer: 8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-2)\/(6\/57). Let r = p - -19. Suppose -r*y = y. Solve y = 5*f + 20, 0 = -3*b - 2*f - 3 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * -888.\nAnswer: 43512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1785894559 and 1.\nAnswer: -1785894558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27067561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:14 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by -8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocp when three letters picked without replacement from {p: 1, o: 1, e: 4, u: 5, c: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 7 - (2 - 2)) + -3 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 9*x - 79*x**3 + 8*x.\nAnswer: -79*x**3 - x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/1 - 1) + -17 + 520\/25. Let n = 95 + -97. What is the third biggest value in a, -0.4, -0.25, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u**2*x - 42845*u**2 + 10*u*x**2 + 2*u - 232631*x**2 + 7*x wrt u.\nAnswer: 8*u*x - 85690*u + 10*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59\/105 - (-14)\/(-105). Let i = 1\/7 - r. What is the second smallest value in 2\/5, -3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/9 - 1108*n**3\/9 + 143162*n**2\/9 + 316888*n + 1472328 = 0. Calculate n.\nAnswer: -9, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -2559 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*j - 16 - 1, -8 = -c + 2*j. Let y(a) = 2*a**3 + 5*a**2 - a - 2. Calculate the least common multiple of 18 and y(c).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40227?\nAnswer: 3, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -b + 16. Calculate the remainder when (-1 - (-7)\/(-2))\/((-42)\/b) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 1, o: 2, b: 1, g: 1, x: 2}. Give prob of picking 1 k, 1 g, 1 x, and 1 b.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 0 (c) 0.1 (d) 0.3 (e) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414148310 divided by 5.\nAnswer: -82829662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - -6. Suppose 0*t = 5*t + o. Let c = t - -90. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w + 47*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 + 18*o**3 + 7.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.97, 5\/13, 2, 24 in descending order.\nAnswer: 24, 2, 0.97, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**3 - 39*g**2 - 303*g - 250. Let d(b) = -13*b**3 + 61*b**2 + 455*b + 374. Let v(w) = 5*d(w) + 7*n(w). Let v(x) = 0. Calculate x.\nAnswer: -3, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 - 2*x**3 + 7*x**3)*(-5 + 4 + 3) - 23535*x**3 - 25*x - 23528*x**3 + 47060*x**3 - 6.\nAnswer: x**3 - 25*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53984 and 5103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + (-6)\/2. Let m be (v\/9)\/((-3)\/54). Differentiate -5*l**3 - 2*l**3 + m + 8*l**3 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**7*l)**3\/((l\/l**(-26))\/l*l*(((l*l**(-20))\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 24 = -4*u, -3*u = -5*b - 4*u - 24. Let p = 3 + b. Let h(f) = f**2 + 4*f + 1. Let v be h(-3). Put p, v, 1 in increasing order.\nAnswer: v, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -5*p**3\/6 - 4*p + 85. Let h(a) = 2235*a. Calculate x(h(l)).\nAnswer: -11175*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.73219 nanograms?\nAnswer: 0.00003373219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 30 - 10. Solve s = r - v*r + 1, -3 = -3*s - 3*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -39. Let y(a) = 1 - 45*a**2 - b*a**2 + 85*a**2 - 3*a. Let s(z) = z**2 - 4*z + 2. What is -3*s(r) + 4*y(r)?\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1236.29994047 + 1236.3. What is c rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -442*c**4 - 767*c?\nAnswer: -5304*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0, 61289 in decreasing order.\nAnswer: 61289, 7, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let x be -1 + (-3 - -2) - k. What is the third smallest value in -0.5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165118*g**6 + 5*g**2 + g + 2477 wrt g?\nAnswer: 19814160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228828 is divided by 7588?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2374 = 2*s, 4 - 8 = -4*s. What is the greatest common factor of j and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7508 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-30) - (-7)\/10. Which is the third smallest value? (a) 2 (b) -1\/4 (c) -0.2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40904461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*c - 10 = 0, -374*c = -2*s - 373*c + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/969 - (-9 - 13964\/(-1596)) - (-97)\/(-21).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**3 + 5*a**2 + 3*a + 5. Let u(w) = -14*w**3 + 8*w**2 + 5*w + 8. Let t = 20 - 15. Calculate t*u(j) - 8*o(j).\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(8))\/((sqrt(36)*-1)\/sqrt(9)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 261 - -3?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 5*n**3\/3 + n**2\/2 + n - 21. Let z be i(1). Let t = z - 6. Is t less than or equal to 7\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747617 minus -4.8?\nAnswer: 747621.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 452\/7. Let g be (-50)\/(-120) - 2\/12. Is o not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = i + 30, 5*i + 45356*y = -45358*y + 90713*y - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*4)**2 - (-3 + -1 + sqrt(99)).\nAnswer: -3*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svxuxqxsssxqqsf. Give prob of picking 1 f and 1 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = -t, -13*d + 14*d - 4 = -t. Put -5, -3, 57, t in decreasing order.\nAnswer: 57, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3*l, -2*m + 15 = 3*l + 2. Suppose 4*u - 180 = -4*b, 0 = -0*u - 4*u - 3*b + 176. Suppose -m*t + 4 = -u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 483, 1125, 2035, 3219, 4683, 6433?\n\"Answer: u**3 + 125*u**2 - 2*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538, -2143, -4814, -8551, -13354, -19223?\nAnswer: -26158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -19, -68, -147, -262, -419?\n\"Answer: -d**3 - 6*d**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9555666 is divided by 23949?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*g = -93, -20 = 5*g + 5. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/13, 31, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 5, 79, 0, -1\/5?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(6*(-1)\/(-6)) - -2. Solve -6 + 2 = -4*t, -2 = j*r - 2*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022000867?\nAnswer: 557, 1834831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**5\/5 + 2*i**2 + 46*i + 27. What is the derivative of n(s) wrt s?\nAnswer: -4*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*t**4 - 4*k**3*t**2 + 406667*k**3 + 21870*t**4 - 98*t**3 + 6 wrt t?\nAnswer: -168*k**3*t + 524880*t - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200.72 - -199. Let t = m + 6.46. What is t rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 8. Let t be r(-7). Let h(c) = -c**2 + 6*c + 3. Let q be h(t). Let f = -15 - -21. What is the highest common divisor of f and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153) + -3 - sqrt(153)) + sqrt(153) + (sqrt(153)*3 + 3)**2 + -1 + -1)*5 + 4.\nAnswer: 255*sqrt(17) + 6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*f - 1 + 3*f**4 - 131*f**3 + 133*f**3 to the form y*f**4 + g + m*f + b*f**3 + k*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(-22)*q))\/(q\/q**(-5\/2)))\/(((q**6*q)\/q)\/q**17))**(2\/75) assuming q is positive.\nAnswer: q**(61\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (-7 + 93 - -1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 154089?\nAnswer: 154094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1095 = -100*i, -52 = 3*c - 65479*i + 65484*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5035733, -5035732, -5035731?\nAnswer: -5035730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112333012 - 120203?\nAnswer: 112212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -696.8791 to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 11) in base 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = g + 7*s + 6, 0 = -3*g - 3*s - 9. Solve g = -5*c - 19 + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 110.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6*l = 42. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrkkkpprrr. Give prob of picking 2 p and 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, 27.\nAnswer: -5, -2, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 45*b**2\/4 + 1600*b + 355 = 0.\nAnswer: -142, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 323, 120 in decreasing order.\nAnswer: 323, 120, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2 + 0 + 6*y)*(-3 + y + 3 + (-5 + 2 - 2)*(5*y - y - y)) in the form h + i*y + t*y**2 and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 7) + 0 + (0 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 13. Let s be x(9). Sort -1, s, 0 in ascending order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -11. Let b = -11 - -53. Suppose -4*c = -b - n. What is the remainder when 26 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let m = -67\/60 - -11\/12. What is the closest to m in 4, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*t - 100 = 4*t, 0 = -10*t + 5*t - 251 - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*y + 98, -y + 22 = 3*q + 6. Does 16 divide 1\/3*(y - -29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 870210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 q when four letters picked without replacement from ltqalel?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 313533066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6960 and 225678?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 43*w = -124 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, -10, 3 in decreasing order.\nAnswer: 27, 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 361\/138?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.01 - 0.01. Let x = 1 + -6. Let o = 5 + x. Which is the second biggest value? (a) o (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9167 - -219937\/24. Calculate the common denominator of 3 + (-940)\/272 + -1 and l.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185.9 + 204.12. Let o = 18 - a. Let n = o - 1.98. What is n rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 31.00065. Round z to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-539)\/(-112) - (-78)\/416?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2236)\/(3 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/3, -1.42?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -137*b**3 + 5*b**2 + 2*b + 5. Let z(m) = -14*m**3. Give h(p) - 8*z(p).\nAnswer: -25*p**3 + 5*p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 34 (b) 0 (c) -526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -5\/3, -0.3, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**2 + 0*z**4 - 3\/20*z**5 + 0*z**3 + 0 - 3*z. Differentiate j(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 2*z - 3*z, 0 = 4*z - 4. Let m be t\/(-3) - 57\/(-9). Let u(r) = -6*r + 6. Let v be u(-6). What is the highest common divisor of m and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 18*n = 3*u - 112, 817 = -6*u - 0*n - 0*n + 5*n + 775 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + 9 + 1 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 26, 19, -2, -43, -110, -209, -346?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**3 - 4582*w**2 - 4082*w + 921. Calculate u(510).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/146 and -71\/584?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315510 is divided by 315052.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113772, 224346, 334920?\n\"Answer: 110574*k + 3198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/15 + 104\/120. Let t be q*(2 + 0 - 2). Is 1\/3 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Let y = 3 + z. Let d(f) = f. Let b be d(y). Are 2\/11 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(-16\/7)*u)\/u*u)\/(u\/u**(4\/13)) assuming u is positive.\nAnswer: u**(418\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*m - 50, 5*m + 8 = m. Let j = y + -42. What is the third derivative of -17*f**5 - 749*f**3 - 31*f**j + 749*f**3 wrt f?\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/7, -0.2674, 2\/3.\nAnswer: -2\/7, -0.2674, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**21\/x))\/(x*x*((x**20\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) -364 (b) -0.1 (c) -79 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -71*z - 15. Let o(d) = 6*d + 1. Let f(y) = -2*n(y) - 22*o(y). What is f(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 99*u**2 - 64*u + 910. What is h(-98)?\nAnswer: -2422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -823 * -0.11651\nAnswer: 95.88773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5379202 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - -1)*5*14\/(-875). Let c = -10 + 9. Is c less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/4 - 8*r**3\/3 + 9*r**2\/2 - 8*r + 1. Let q be (-14)\/49 - 102\/(-14). What is the units digit of u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 102. Let r be h(11). Suppose -r*s - 60 = -25*s. Solve 0 = s*q - 51 + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84448915411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*x - 2*c + 3, 0 = 2*x - 5*c - 15. Let u(a) = 2*a + 6*a + x*a - a. Let d(p) = p + p + 2*p - 5*p. What is d(u(o))?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 - 11*n**2. Let m(j) = -3*j. Give o(m(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 44193500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 + 10*x - 4. Let w be h(9). Suppose 2*v - 3*q = -2 - 2, 2*v - w*q = -12. List the prime factors of 4\/(-10) + v + 3368\/20.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0*h**2 + 1\/6*h**3 - 3*h + 1\/24*h**4 + 0 + 1\/40*h**5. Let j(a) be the second derivative of m(a). Calculate j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80322 + 80324.19966. Let j = 2.2 - d. What is j rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgjmgzc. What is prob of sequence mjg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-10)\/12))\/((1410\/100)\/(-47)). Let o(l) = 3*l**3 - 2*l**2 - 2. Let y(w) = 15*w**3 - 11*w**2 - 11. Give m*y(k) + 22*o(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22099697\/36 - 613799. Let j = 686\/9 - v. Find the common denominator of 525\/(-98) + 3\/(-21) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2920*-3\nAnswer: 8760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176759?\nAnswer: 11, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.10952. Round v to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, 3665, -2, 1\/7 in descending order.\nAnswer: 3665, 1\/7, 0.1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/543*3*(-24 - 7)\/62.\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14269831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {d: 8, n: 2, l: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 23 - (-4 - (2 - (5 + -6)))) + 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 16 = 5*d. Let s = -124 - -124.61. Let q = 1.01 - s. Which is the closest to 0.1? (a) 0.5 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-6 - sqrt(76))\/(-3*sqrt(12)\/sqrt(3)) - (sqrt(228) - (sqrt(228) - 4*1*sqrt(228)))\/(sqrt(12) + -2*sqrt(12)*5)*-2.\nAnswer: -59*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 18 + 17. What is the smallest value in -0.2, 0.1, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36836 or 2.5866?\nAnswer: -36836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrxtr. Give prob of picking 1 f, 1 t, 1 r, and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17782\/(-2465))\/((-4)\/(-20)) - (-6)\/87.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 74. Suppose -2*v - 3*v = -q - 80, -m = -3*v + 2*q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 8}. What is prob of picking 2 l and 2 p?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 66, 52, 38, 24?\n\"Answer: -14*u + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9579 + 977131\/102. Find the common denominator of (-4)\/(-6) + (-103)\/6 and n.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*d - 65, w = 1389*d - 1392*d - 71 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 4. Suppose -5*p = -5*q + 15, 4*q - 8*q - 44 = 3*p. Let y be z(p). Let d be 6\/((3 - 6) + 4). What is the highest common factor of d and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 37 = -0*b. Let y = b - -58. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205153 is divided by 102571.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(1\/12). Suppose 0 = 44*a - 42*a - 14. Let o(b) = 419*b**2 - 422*b**2 - 1 - 6*b + a. Let j(d) = 3*d**2 + 7*d - 7. Determine m*j(g) + 7*o(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-15) + 22\/3. Let g be b\/(-32) + 37\/4. Find the second derivative of 28 + 34*l**3 + 23 - 51 + g*l wrt l.\nAnswer: 204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose 2*k = -v*k. Suppose -2*d + 28 = -p + 3*p, k = -3*p - 2*d + 41. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -52*b - 9. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28167031 times 0.4\nAnswer: -11266812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**3 - 16*d**3 - 48*d**3 + 67*d**3 + 27*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/559065584 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 71420*n - 142860.\nAnswer: 5*(n - 2)*(n + 14286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6150 divided by -5.\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 32*h**3 - 132 + 61 - 2*h as l*h + k*h**2 + v*h**3 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-d + 3*d + 0*d) - 3*d + 4*d - 3*d + (0 + 1 - 9)*(-4*d + 0*d + 5*d) - 2*d + d + 2*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:59 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246649 (base 10) in base 13?\nAnswer: -348581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -416? (a) 0.4 (b) -3\/13 (c) -1 (d) -2\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j = -565986 - 9300103. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -494\/23 + 674\/23. Is u > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 654 or 2491?\nAnswer: 2491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/997, -0.05, -11, 3.8, 0.2 in ascending order.\nAnswer: -11, -0.05, -1\/997, 0.2, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33355093 to the power of 1\/2, to the nearest integer?\nAnswer: 5775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17091459 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let z = j + 3. Calculate the common denominator of 7\/2 and z\/(-4) + 190\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271*d - d**2 + 281 + 268*d + 245*d - 822*d + 37*d**3 with respect to d.\nAnswer: 111*d**2 - 2*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2727.867 to the nearest ten.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 188113.59 minutes in weeks?\nAnswer: 18.6620625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + m + 4*m = 0. Suppose -3*q - 4*b - 46589988 = m, 5*q + 2*b + 107183478 = 29533484. What is q rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 11*i + 21. Let y be v(-15). Let q = y + 85. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + 4*sqrt(171).\nAnswer: -2 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22733211 - 3?\nAnswer: -22733214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + -2 + sqrt(19) + 1 + -5.\nAnswer: -9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 + -15. Let f = -4.98 + 5. Is f at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.463, -5, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 9*v. Let j be h(-10). Suppose -z = z - j. Suppose 0 = z*o - 223 - 147. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120) + sqrt(120))\/sqrt(12) + (sqrt(40)*-6 - sqrt(10)))\/(sqrt(2) - (sqrt(16)\/sqrt(4))\/sqrt(2) - (sqrt(8) + sqrt(2))*-6).\nAnswer: -11*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 2*f**2 - 7*f - 18*f - 14*f in the form b*f**2 + r + n*f and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.1 + 13. Let d = y + -3.9. Let m = 247 + -246.7. Which is the nearest to -2\/3? (a) m (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/3 - 27782*m**2\/3 + 97921958*m\/3 - 3325941430 = 0. Calculate m.\nAnswer: 105, 6893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1512227 (base 8) to base 3\nAnswer: -210220120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(1100) + -1 + -3 + -3)*-3)**2.\nAnswer: -1260*sqrt(11) + 10344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3339 - -3399. What is the smallest common multiple of 32 and w?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195271411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 16\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 11.64. Let x = l - -0.06. What is the second smallest value in -1, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2*5\/(-10))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 8. Let h be y(-5). Let q = h + -7. Which is greater: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0283528m?\nAnswer: 2.83528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65480.38 rounded to the nearest one hundred?\nAnswer: -65500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457472425.\nAnswer: 5, 31, 277, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 6 - (-11 - -6 - 24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 2. Let n be p(2). What is the derivative of -4*u**4 + 10 - n*u**3 - 12 + 2*u**3 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (204\/60)\/17 - (-5444)\/5?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*y + 2, 4*i - 55 = y - 48 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 842146884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 566347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3881425*h**2 + 38*h - 205779 wrt h.\nAnswer: -7762850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*r + 17 = 0, 4346*w - 4342*w + 7*r + 9 = 4*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.8 + -20.005. Let p = 0.175 + i. What is the nearest to p in 0, 4, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/16*(-424)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let i be z(8). Let w = 0.13 + -0.03. Sort 3, w, i in ascending order.\nAnswer: w, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:27 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 22398820 to the nearest 10000.\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 165 + 91 - 11. Is 34 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -22. List the prime factors of 112\/a*3\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599ac (base 14) in base 2?\nAnswer: 10111000101100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15451 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -53. Suppose -37 - 41 = -u*w. Let y(h) = 3*h - 3. Determine y(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 - 1 + 0 - 1 - 1 - 1 + 1 + 3 - 3 + 1 + 4 - 2 + 0 + (2 + 0 - 1)*(0 - 5 + 3) - 3 + 5 - 3)*(7*q - 2*q - 3*q + (2 + 3*q - 2)*(-3 + 2 + 4)).\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*z + 34 = -1024*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-546)\/56 + 1\/(-4). Let r be ((-32)\/n)\/((-1)\/(-10)). What is the greatest common divisor of 48 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7069, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Let c(j) = 5*j**2 - 3*j - 3. Let i(x) = -28*x**2 + 16*x + 16. Let o(v) = 11*c(v) + 2*i(v). Give -m(q) - 3*o(q).\nAnswer: 2*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3387 + -3329. Calculate the highest common divisor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233 by 1398.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343 + -3054?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10435\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.076, -0.4, 1, 1\/21 in descending order.\nAnswer: 1, 0.076, 1\/21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -42570*b + 723677. Calculate v(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x + 2. Let y be z(2). Suppose 20546 = 2*w + y*w + 3*q, 0 = 4*q + 8. Suppose 2*h - 8082 = 4*b, 5*h = 3*b + 25336 - w. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5972?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -17*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 324*s - 18132. Calculate u(-72).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21528707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/(-57) - -6634*6\/36 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2 + 18. Suppose k*c + 0*c - 112 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15798, 31027, 46256, 61485, 76714?\nAnswer: 91943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbq when three letters picked without replacement from {k: 1, g: 1, q: 1, d: 1, b: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:33 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*c + 65, -10 = 3*p - 2*c - 51. Let l be (-11)\/p - 2\/(-5). Let x = -3475\/36 - -387\/4. What is the closest to 0 in x, l, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*((-56)\/6)\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31891786 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 - 34*v**4 - 90*v**3 + 274*v**2 - 152*v = 0.\nAnswer: -4, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00492274 to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h - 5. Let x(r) = 44*r - 16. Give -16*k(q) + 5*x(q).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*i**3 - 8*i**2 - 27*i + 2.\nAnswer: 270*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 20. Let z(p) = -26*p + 249. Let y(f) = -5*f + 49. Let c(r) = -11*y(r) + 2*z(r). Calculate -3*c(q) - 7*h(q).\nAnswer: -2*q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 r when four letters picked without replacement from xxngggrggxxgxgxx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*y + 1, y + 51 = x. Solve 0 = -44*a + x*a + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 7*n - 4. Let x = -31 - -35. Let g be i(x). Sort -5, g, 2 in descending order.\nAnswer: 2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.93, -2\/5, 2 in decreasing order.\nAnswer: 2, -2\/5, -7.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**4 + 2*w**2 + 0 + 0*w**3 - w - 1\/60*w**5. Let i(g) be the first derivative of s(g). Let t(a) = 3*a. Give i(t(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 - 2*l - 20. Let g be f(5). Let q be (-1 - 3\/g)\/(56\/252). Which is the closest to q? (a) -0.3 (b) -0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 5*t + 2. Let l be b(-2). Suppose 5*p + 5*y - 1545 = 0, -5*p = -3*p - l*y - 618. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 3*l**2 + 3*l + 8. Let g(r) = -2*r**3 + 5*r**2 + 5*r + 15. Give 3*g(h) - 5*p(h).\nAnswer: -h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (73784\/2807)\/((-1012)\/(-3080))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37050 and 1287?\nAnswer: 1222650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-105)*3 - 77\/245.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313935, -73, -3.\nAnswer: -73, -3, 313935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 10*y**2 - 7*y - 8. Give d(-9).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, -74\/19, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from khxlh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8153 - 18526 = -5*s, -5*r - 3*s = -66669. Suppose r = -5*y + 27*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*j, 4*j + f = 3*f + 6. Let v = -8 + 13. Suppose 4*h - h + 5*r = 14, -3*h = -v*r - 4. Solve -a - s = h, -s - 15 = a + j*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, c: 2, l: 2, v: 1, n: 1}. What is prob of sequence mv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98830556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-100)\/90*(-3 - (-18)\/10). What is the closest to 9 in 2\/5, p, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - l + 7, 5*o - 3*l - 19 = -0*l. Let w = 27 - 18. Let r(p) = -p**3 + 68*p**2 + 293*p - 5678. Let x be r(71). Solve -o*n = -x*n + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/3 - 3*w**5\/5 + 12*w**4 - w**2\/2 + 1739*w - 3098. Find the second derivative of i(y) wrt y.\nAnswer: -40*y**3 - 36*y**2 + 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 10 - 2*u + 3 + 4*u - u**2. Let y be (-8 + 11)*1\/(2\/4). Give v(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1150\/3220 - (6\/8 - 1\/2).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/23 (b) -1\/2 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18782364 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3 + 0*a**2 - 4*a**2 + 7 - 17*a. What is the remainder when 71 is divided by j(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 313\/(-5) - (-4)\/(-10). Let m = t + 91. Let h be (56*2)\/(85\/170). What is the highest common factor of m and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 7*g + 6. Let z be b(4). Suppose -13*f - z = -18*f. What is the closest to -1 in 1\/2, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Let i be (-5)\/(-2)*(-2)\/(-5). Let h(d) = 4*d + 1. Let l be h(i). Solve -l*f - s*n - 6 = -4*n, -4*n - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28016 and 1360?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2272*j - 402 + 6 = -2206*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 times -3?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*((q**(-15)*q)\/q)\/q)\/q)\/q*q*q*q*q**(1\/2)*((q*q**(-5))\/q)**(-36))**3 assuming q is positive.\nAnswer: q**(1005\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p - 10. Suppose -2*m = 4*b - 6*m + 4, b - 29 = -5*m. Let y be w(b). What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*((-290)\/(-3))\/(-5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-11)\/(-2))\/((-26)\/52)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 16\/27?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (69\/(-4) - -4)*8. Let s = v - -111. Suppose -14*l + 8289 = -s*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(4\/16 - (-14044)\/16). Suppose 5*s - f - b = 0, -24*s + 4*f = -22*s - 706. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729\/5 < 11.4041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595 and 70?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 + 7*v + 20. Let u be r(9). Solve 2*w - u = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58095 = -841*m - 52208 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:50 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 5*u + 11, -16 = -5*c + 4*u. Solve -2*j + 0*j + 2 = c*a, -j = -4*a - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.845 bigger than -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, p: 5, u: 1, t: 1, j: 1}. Give prob of picking 1 u, 1 t, and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 718566436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.2 + -7.49. Let l = -0.01 + g. What is the nearest to 1 in 5, l, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.740109 meters?\nAnswer: 974.0109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.9 - 21.9. Let f be (3\/(-6))\/(1\/6). What is the nearest to f in l, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103461, -108141, -112821, -117501, -122181?\nAnswer: -126861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2 - 5752641*m + 40268634 = 0.\nAnswer: -1917554, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -93. Suppose 3*j + 671 = 5*c - 3, c - j - 134 = b. Suppose -4*o = -4, 3*v = -4*o + 3*o + c. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 4*x + 2*n + 6615278 = 37335280. Round x to the nearest one hundred thousand.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 6. Let h be g(4). Let x = -3.577 - -0.577. Which is the biggest value? (a) 2\/13 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2.9.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43924)\/(-6162) - (-360)\/(-54).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612) + 0 + -4 + (0 + sqrt(612) + -1 - (1*sqrt(612) + -3)) + -4)**2.\nAnswer: -84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*v - 55, 5*v + 6*p - 65 = 4*p. Calculate the common denominator of 3\/(-6) - (-68)\/v and 25\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -223150, -223158, -223166, -223174, -223182, -223190?\n\"Answer: -8*u - 223142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 2730*t**2 + 52632*t - 55360.\nAnswer: -2*(t - 1384)*(t - 1)*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*y + 121*y = 3018. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21053 is divided by 10503.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - 111536?\nAnswer: -111582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280102 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4, -16068*q = -16071*q + 2*n - 32 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -71. What is the least common multiple of a and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.9718 - -0.0282. Let r = -139.5 + 114. Let k = q + r. Which is the closest to 3? (a) -2\/7 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932926 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -1 + 0 + 3. Let x(c) = -5*c. Let k be x(-1). Suppose -5*j = t - 6*t - 15, 0 = -4*t + j. Sort t, k, h in ascending order.\nAnswer: h, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 27 - 3 = 0. Suppose 2*r = 5*r - t. Suppose -x = r*y - 28, -y + 3*x = -0*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(126)\/sqrt(2).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 13 - 5 - 513*h + 5 + 3 to the form f*h + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.5, 4, -5.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70957 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6528.445 grams in kilograms?\nAnswer: 6.528445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**3 + 45 + u - 25\/12*u**4 + 0*u**2. Let g(p) = 4*p. Calculate s(g(f)).\nAnswer: -400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350552 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 - 2) + -1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64603, -258443, -581517, -1033831, -1615391, -2326203?\n\"Answer: -s**3 - 64611*s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*y - 119, o + 3*y = 2*o + 37. What is the hundreds digit of 7172\/26 + (-8)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004804 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12717 and 3942?\nAnswer: 1856682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 8. Let d = 49 - n. Let v be -1*d\/5 - 1*-5. Let o(k) = k**3 - 5*k**2 - 7*k + 5. Determine o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -761.31 + -12.69. Let p = -774.079 - d. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d + 26. Let i(f) = -20*f + 3*f - 3 - 8*f - 48. Let y(q) = 6*i(q) + 11*o(q). Differentiate y(t) with respect to t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6897)*-1 + sqrt(6897) + 4*(sqrt(6897) - (sqrt(6897) - sqrt(6897)*-2)))\/((-2*sqrt(3024) - sqrt(21))\/(sqrt(49)\/(sqrt(28)\/sqrt(4)))).\nAnswer: 66*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*x**3 - x**2 - 1548*x - 2 - 1483*x + 3032*x + 1100*x**3 as p*x**3 + i + w*x + g*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8859 is divided by 884?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -149\/2035?\nAnswer: -149\/2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154950 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/15 + 36*n\/5 + 486\/5 = 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**1*n**(-6))\/(n**(-8)*n\/n**(2\/9))*((n*n**2\/n)**(-1\/78))**(-6\/11) assuming n is positive.\nAnswer: n**(2878\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 211?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 21. Let w = 14 - u. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.05 - 0.05. Let d = 1.5 - q. Which is the third smallest value? (a) -3 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64391137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173663 is divided by 1835.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*g + 50, -2*g + 93*s = 94*s - 35. Let h be (-18)\/(-36)*g*3. Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 0.09.\nAnswer: -2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 50*2\/(-4). Suppose 0 = -5*z + 4*n + w, -3*z + n + 13 + 1 = 0. Solve 3*f = -z*b + 27, -4 = -4*f + 3*b + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2864 + 2895. Solve 0 = -p*w + 22*w + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 36. Let z be 2 - 60\/28 - 694\/u. Suppose 0 = j - 3*q - z, 0 = -j - 4*q + 18 + 102. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w + 437 + 361 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667*v = 1633*v + 15028. What is the highest common divisor of v and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 837071668 - 837052444.99995. Let s = -19231 + b. Let l = s - -8. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -401.4 - -401. What is the nearest to -20 in -2, h, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o + 16. Let l be m(4). Let z be ((-4)\/(-24))\/(1\/4). Let f = 2 - 6. What is the closest to z in l, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196026408 by -49006602.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(252) - -1*sqrt(252)))**2*-2.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, 27 in ascending order.\nAnswer: 4, 27, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k**3\/4 - 49464087*k**2\/2 + 11993608821216*k - 1411012460184 = 0. What is k?\nAnswer: 2\/17, 969884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -14) + (-26 - (33 - 35) - -62)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbbwacwubbbcwbb. Give prob of picking 1 c and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1249.2 (c) 1\/2 (d) -5 (e) 3 (f) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -22. Let o = p - -45. Suppose -d + o = 3. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + 1 + 1 + (-3159 - -3135)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.53 - -7.6. Let k = v + -1.06. What is the closest to 0.2 in k, 0, -2, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -40. Let a(d) = d - 1. Let c be a(-10). Let v = c + 15. Solve -h = -k + 3, 3*k + 10 = -v*h + g*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -0.5, -634, -1\/5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 55347. Let c(x) = -x. Calculate c(l(k)).\nAnswer: -6*k - 55347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.020696 to 2 dps.\nAnswer: 198.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3983)\/(-569) + (0 - -5)*6\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**7\/525 - 36*z**6\/25 - 23756*z**5\/75 - 15408*z**4\/5 - 183184*z**3\/15 - 8426*z**2. Let s(j) = 0. Calculate j.\nAnswer: -214, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12715745 and 2414.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*y + 57. Let a = -10 + y. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 2*x)*(4*x**4 - 511*x + 235999 - x**4 - 236000).\nAnswer: 3*x**5 - 511*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64041120 divided by -780?\nAnswer: -82104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 7, l: 1, o: 4}. Give prob of sequence ljo.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 41. Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a + 16. Suppose -7*s + 3*j = -3*s + 44, 2*s - 5*j + 36 = 0. Determine w(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2)*8\/(-24). Suppose v*b + 2*b - 2*x = 46, 0 = b - 4*x - 32. Calculate the greatest common divisor of 80 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -72.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973144 is divided by 3306?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000299 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 26*r**5\/15 - 2*r**3\/3 - 18*r**2 + 2. Let p(i) = 2*i. Give k(p(m)).\nAnswer: 416*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 54 + 26. Suppose r - 5*c = -3, -c - p = -4*r + 2. Suppose r*y + 0*y - 468 = 0. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v + 1. Let l be g(4). Find the second derivative of -l*j + 3*j**3 + 54*j + 5*j**3 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6)*9\/(-48))\/(-1). Put y, 3, 58 in decreasing order.\nAnswer: 58, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 u when four letters picked without replacement from {n: 3, h: 6, u: 6}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*c - 3905, 0 = 3*j - 3*c - 3113 + 185. Let z = j + 3714. Let l = -4311 - z. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t - 10*t + 28*t. Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 4*n - 18. Let r(z) = -2*z**3 + 64*z**2 + 2*z - 70. Let j be r(32). Calculate c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = -5*n, n = 2*n - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/1 - (-39 - -44).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:03 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4322 = 2*n - i - 1042, 3*i - 5380 = -2*n. What is the greatest common divisor of n and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + y**2 + (-2 + 1 + 3)*(-2*y**2 + 2*y**2 + y**2))*(1 - 6 + 4).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.167 + -3.393. Let z = -0.44 + h. Let s be 1 + -1 - (-2)\/(-1). What is the closest to s in z, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1744, -3506, -5268, -7030?\n\"Answer: -1762*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3688, -3678, -3664, -3646, -3624, -3598?\nAnswer: -3568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54898 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*45\/(-12). Suppose 5*r + 17 = -c, -p*c + 31 = -2*r + 8. Is -15 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 6*r**2 - 7*r. Let a be o(5). Let s = -8 + 26. What is the remainder when 2\/(-5) - 354\/a is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74b84 (base 14) to base 7\nAnswer: -2253424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -58. Suppose -8*n + 2*r = -12*n - 6, 2*r = n - 1. What is the remainder when 3*(n\/2 + (-181)\/(-6)) is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67.26793 minutes?\nAnswer: 4036075800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**5\/12 + 3*c**2\/2 + c + 46. Let r(l) be the second derivative of z(l). Let o(y) = 6*y**2. Calculate r(o(i)).\nAnswer: 180*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0 - 6) - -7. Let i(r) = r + 2. Let u(m) = 2*m - 2. Let b(w) = a*i(w) + u(w). Let o(k) = 1 + k - 1. Give b(o(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g**3 + 5937*g**2 - 131670*g - 137625 = 0.\nAnswer: -1, 25, 1835\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-9))\/((-15451)\/(-139059))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a day in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54835, 54831, 54823, 54811, 54795?\nAnswer: 54775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 12. Let o = t - -6. Which is the third smallest value? (a) 2 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -958*d + 2321 - 1186*d - 278*d + 539*d + 2*d wrt d?\nAnswer: -1881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -650, -2566, -5754, -10208, -15922, -22890, -31106, -40564?\nAnswer: -51258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2223 + -23205?\nAnswer: -20542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 315075860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86567936 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -11101343432?\nAnswer: 11101343432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38\/119, 3\/7, -4, 5?\nAnswer: -38\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-10\/7))\/(((t*t*t**(2\/11))\/t)\/t))\/(((t\/(t\/(t\/t**8)))\/t)\/(t**(1\/16)*t)) assuming t is positive.\nAnswer: t**(13933\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -135656305 + -3?\nAnswer: -135656308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -11. Which is the biggest value? (a) 5 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 175. Let b(g) = -2*g - 184. Determine -2*b(u) - 3*j(u).\nAnswer: u - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/(3 - -1) - -2. Let b = 29 + z. Solve 0*n - 2*n - b = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 17 = -4*o, o - 2*o = -3*a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + o**2 + 3*o**2 + o. Let g be s(-1). Suppose -127 = -5*z - 2*y, 98 = 4*z - g*y - 2*y. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31662 + -0.30762. Let d be 16\/18 + 4\/(-6). Which is the closest to n? (a) d (b) 5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/18 and -49\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -196\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29802520790.49 + 3.\nAnswer: -29802520787.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a + 1. Suppose -5*u = 3*j + 12, -38*u = -37*u + 3. Let o(p) = -13*p**3 + 3*p + 3. What is j*o(s) - 3*l(s)?\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3 + 9. Suppose -f - o + w = f, -5*f + o = 3. Determine j so that -8\/3*j**3 + f*j**4 + 0 + 0*j**2 + 2\/3*j**5 + 0*j = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -85, -192, -327, -484, -657, -840, -1027?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + (4 + sqrt(12))**2.\nAnswer: 28 + 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1940 and 248126?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -327.2982199?\nAnswer: -318.2982199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 166310154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 14*m**4 + 7178*m**3 + 410976*m**2 - 118008*m = 0.\nAnswer: -447, -66, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let j(k) = -l*k**2 - 5*k**2 - k**2. Let u(r) = 2*r. Determine u(j(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 34*u\/3 + 40.\nAnswer: (u + 4)*(u + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 391824.\nAnswer: 1175472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/100 and 867\/(-600) - 27\/(-15).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 5}. Give prob of sequence tn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:04 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 5:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-1104)*4\/8*3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*t**3)*(-1 + 1 - 2*t) - 29*t**3 - 207335*t - 5*t**4 + 207335*t.\nAnswer: -t**4 - 29*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -11638.\nAnswer: 34914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 + s + 1. Let u(t) = t**2 + t + 2. Let h(x) = -x. Let v(f) = -3*h(f) + u(f). Let m be v(-3). Give n(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 2*l**3 + 6*l**2 - 9503*l wrt l.\nAnswer: -48*l**2 - 12*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - 3\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393219425.\nAnswer: 5, 131, 120067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) -2\/13 (b) -2\/7 (c) -4\/7 (d) 12.1 (e) 24 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**2\/2 + 6*d + 3. Differentiate z(t) wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110633855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73758 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (61\/122)\/((-1)\/(-2)). Which is smaller: 2\/2859 or f?\nAnswer: 2\/2859","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 188?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 5*n**8\/112 - 17*n**4\/24 - 3*n**2. What is the second derivative of t(q) wrt q?\nAnswer: 300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 3*l + 16, -4*l - 23 = -3*d. Suppose 0*h - 3 = -h. Suppose 23 = h*z + 14. Put -4, z, d in ascending order.\nAnswer: -4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750400 and 3728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896700837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/420 + h**6\/90 + 2*h**3 + 10*h**2. Let k(c) be the first derivative of j(c). Find the third derivative of k(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110111010000001011 (base 2) in base 5?\nAnswer: 224401442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1416917 = -5*t, 2*t + 3801*z - 566768 = 3802*z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose n = -a + 2*a - 2. Suppose 4*v - 3 - 9 = 0. Solve -3*x + 21 = v*q + 2*q, -5*x + a*q = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 + 3 = 0. What is the first derivative of -1 - j + 2 + 6 - 5*b**2 wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -132.41+-0.4\nAnswer: -132.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 3*t. Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8\/9)\/(r*r\/(r*r**(-1\/8))) assuming r is positive.\nAnswer: r**(-145\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*k - 6. Let s = -8 - k. Sort s, -0.3, 0.1, 3 in descending order.\nAnswer: 3, 0.1, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 12 - 14)*(-2*y**2 - 4*y + 4*y)*(3*y - 5*y + 0*y) as c*y**3 + v*y**2 + n + d*y and give c.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, 2\/251, 0.1, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107.3 + -107. Let h = -0.713 + z. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13\/3, 0.06, -0.2, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 times -71289?\nAnswer: 7913079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 62*h**2 - 62*h + 42. What is d(61)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14775 (base 12) to base 14\nAnswer: -a693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 44*t**3 - 133 + 133.\nAnswer: 44*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2566666*k + 2. Let g be d(3). What is g rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475906 is divided by 11330.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8 (c) -3 (d) 3\/4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 136*z**2 - 332*z + 1240.\nAnswer: -4*(z - 2)*(z + 5)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2189, 2121, 2009, 1853?\n\"Answer: -22*o**2 - 2*o + 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - 4*n**2 + n**2)*(-4 + 7 + 12) as y + o*n + v*n**2 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 815.99 - 811. Let s = m + 0.01. Let v = 0.3 - 0.2. Which is the nearest to v? (a) -0.4 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5119 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 223885*r + 46. Let j(u) = -24*u. What is j(z(b))?\nAnswer: -5373240*b - 1104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 31*f**3\/3 + 14*f**2 + 17*f - 271. What is the thousands digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/5 of a decade?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 6. Calculate the lowest common multiple of y and 4\/(-1) + 123 + 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*q + 7 + 1, 0 = 5*s - 4*q + 27. Let u = 9 + s. Let b(j) = j - 2. Let z be b(5). Solve -z*k = u + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 5. Let i be (-8 - -2)*(-1)\/(-2). Let l(f) = f - 1. Let o = -1 + 0. Let b(t) = i*l(t) + o*x(t). What is the derivative of b(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -1, 677, -2 in increasing order.\nAnswer: -6, -5, -2, -1, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2474*j**2 + 536*j - 83. Is n(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80162452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170619?\nAnswer: 3, 56873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = x - 14, m - 4*x + 17 = -0*x. Factor 8*c - 4 - m*c**3 + 4*c**4 - 7*c**3 + 2*c**3.\nAnswer: 4*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 4 - (2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -2.7.\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126)\/(2*(-15)\/20). Suppose 5*j - 125 = 5*q, 2*j + 4*q - 12 - 20 = 0. Let y = j - 10. What is the highest common factor of b and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -7*d. Let i be -3 - (2 + 2\/d). Calculate the smallest common multiple of (-5)\/(-20) - 47\/i and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o**(-5)*o**2\/o*o*o**(-1\/7)*o*o)\/((o**1\/(o**(-5)*o))\/(o**(-5)\/(o\/o**(-5)))) assuming o is positive.\nAnswer: o**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 12*n - c + 8, -2*n - c - 6 = 0. Let v = 5\/47 - 166\/235. Which is bigger: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:24 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5173?\nAnswer: -5170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361268498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/66 + 25*c**3\/33 - 350*c**2\/11 + 4855*c. Factor i(a).\nAnswer: 2*(a - 10)*(a + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/587 (b) 8948 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + -15 + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161\/36 - -38\/9. Put 1\/5, 3, -5, j in descending order.\nAnswer: 3, 1\/5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 205 = -8*o + 5*o, -4*s + 134 = 2*o. Calculate the remainder when o is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*-6*sqrt(190)*-3)\/(sqrt(60)\/(sqrt(294)*2)).\nAnswer: 5 + 756*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x = 89*x + 30. What is the lowest common multiple of 24 and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 15 - 45. What is the common denominator of ((-148)\/45)\/(f\/75) and 7\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72536 + 118557. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let m(b) = -5*b**2 - b. Calculate u(m(a)).\nAnswer: 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m**3 + m**2 - 43. Let j(a) = -50*a**3 + 3*a**2 - 73. Let u(l) = 3*j(l) - 5*x(l). Let y(f) = 26*f**3 - 3*f**2 + 3. Determine -3*u(r) - 4*y(r).\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) 4\/7 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2421\/4842*1\/((-2)\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/60 + 18*y**2 + y. Let o(q) = -149*q**2. Calculate o(r(s)).\nAnswer: -149*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -2, -74, -5 in decreasing order.\nAnswer: -2, -5, -74, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**3 - 9\/2*v**2 - 12*v + 0 - 1\/3*v**4. What is the derivative of b(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7586 + 7641. Calculate the remainder when 204 is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-220)\/(-132) + 2 + 16718\/6. Calculate the highest common divisor of m and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 13*v - 9 = 0. Suppose v*u - 987 + 24 = 0. Suppose u = 31*m - 28*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.06 + -10. Let i = -0.9 - -0.56. Let y = t - i. Which is the nearest to -2? (a) -5 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -82*s**2 - 504*s + 10. Let c be l(-5). Suppose -v + 7 = -8. Calculate the greatest common factor of v and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -81. Let z(u) = -4*u**3 - 2*u**2 + 7*u + 4. Does 15 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + 10.84. Let d = c + -10.8. Let f be (-6)\/28*(5 + -1). What is the biggest value in d, -0.2, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -31\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29481.\nAnswer: 3, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110101211 + 0?\nAnswer: 22110101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3264 and 918?\nAnswer: 29376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/140*(-40)\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -1 (b) -5 (c) 0.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g*t**2*w - 114*g*t**2 - 71*g*t*w - 12*g*t + 4*g*w + 4*t**2*w - 3*t**2 - 5*t*w + 3 wrt t?\nAnswer: -26*g*w - 228*g + 8*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00308638647 rounded to seven dps?\nAnswer: -0.0030864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*sqrt(1000))\/(sqrt(5) + sqrt(55)\/(-3*sqrt(11)))*2 + 4))**2.\nAnswer: 12000*sqrt(2) + 180400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 + 5*y**3\/6 + 6*y**2 - 2*y. Let n(w) = -w - 2. Let h(p) = 5*c(p) + 30*n(p). Factor h(d).\nAnswer: -5*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:41 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (4*sqrt(3)*-3)**2)*5 + -5 - (sqrt(27) - (sqrt(27) - sqrt(135)\/sqrt(5)*-4))\/(sqrt(9) + (sqrt(135)\/sqrt(5))\/sqrt(3)).\nAnswer: -2165 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 169, 1.6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -1, 0.1, 5.\nAnswer: -1, 0.01, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from {p: 9, o: 7, h: 1, u: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2094 - 579. What is the highest common divisor of 75 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167865871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.7221 - 0.0179. Round r to the nearest integer.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2241 and 11627387.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 14. Let b be o(6). Let m = b + -5. Suppose 2*g + 6 = -0*g, -p = -m*g - 9. Solve p + 4 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1415*z + 547*z - 2469*z)*((5 - 3 + 0)*(-z**2 + 5*z**2 - 6*z**2) - 4*z**2 + z**2 + 2*z**2 + (-z + z + z**2)*(3 + 0 + 0) - 2*z**2 + z**2 - z**2).\nAnswer: 13348*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003368060898 to five dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16 + 26*n - n - 9*n. Does 16 divide l(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -13*s**4\/4 - 5*s**3\/3 + 4*s - 63. Let c(w) = -6*w**3 - 2*w**2 + 2. What is 9*c(x) - 4*j(x)?\nAnswer: -2*x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*i = -6, 2*i - 15 = 4*h - 9*h. Suppose -h*r + 6 = -4*w, 0 = -0*w + 3*w + r - 2. Let f(t) = t**3 - t**2 + 6. What is the units digit of f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 2. Let q = 16797 + -16797.2. Sort 1\/3, d, q.\nAnswer: d, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0 + 0)*(0*j**2 - 2*j**2 + 4*j**2) + 0*j**4 + 4*j**4 - 2*j**4 - 4 + 3*j**4 + 2 - j**4.\nAnswer: 8*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006031107 rounded to 6 dps?\nAnswer: -0.006031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(7 - 4 + 6)*(w**2 - 2*w**2 + 3*w**2).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/5)\/(65664300\/5969500 + -11 + 0)?\nAnswer: 2, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 605, 296, -357, -1468?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 19 = -15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35124215 (base 7) to base 3.\nAnswer: -12210120122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 14*g**2 + 6*g - 14. Calculate the remainder when 482 is divided by c(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 - 5*h**2 - 13*h - 7. Let x be g(-5). Let l = -162 - x. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597379, 1194756, 1792133, 2389510?\nAnswer: 2986887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*s - 14 - 2.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**2 + 19*k**2 + 3*k**3 - 2 - 39*k**2 in the form f*k**2 + x*k + p + g*k**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 13*o - 128 - 136 + 396.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42864109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 1. Let y(a) = -3*a**2 + 11*a - 4. Give 4*u(m) + y(m).\nAnswer: m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494709 is divided by 86.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 34. What is the least common multiple of f and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2 = -3*k + k, 2*k + 3*a + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3.741, -5, 0.04, -1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 28 = 5*o + 3*s, -2*s - 28 = -4*o. Solve -10 = 3*j - m - 0, 4*m = j + o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.755159 rounded to one dp?\nAnswer: 372.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86958 is divided by 1035.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1385, -1382, -1379, -1376, -1373, -1370?\n\"Answer: 3*t - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26460 - -29387. Which is greater: c or 2932?\nAnswer: 2932","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -44 (c) 1\/9 (d) -1 (e) 0.8 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*u - 5*u. Suppose -8*q = -u*q - 51. Suppose q + 1 = 6*b. Solve b*f - 3 = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3161668 - -2111666. Let a(x) = -580*x - 4061. Let c be a(-7). Let y be c + (-1)\/((-1)\/(3 + u)). Round y to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 196.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 121*g**2 - 17*g + 0*g**3 - 3*g**3 - 12 + 116*g**2 + 4*g**3 - 221*g**2. What is q(-17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*i + 14 + 160*i - 11)*(-1 + 1 + 4*i).\nAnswer: 156*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380581\/1066 or 358?\nAnswer: 380581\/1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 times -46?\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:54 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {j: 1, x: 5, d: 4, o: 1, t: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14*d - 43584 = 0. Let a be d\/3432 - (24\/(-13) + 2). Let b = 6\/11 + a. Is 22 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482*a*q*s**6 + a*q*s**2 - a*q*s - 15*a*s**2 + 203*q*s**6 - 17*q*s**2 - 49*q*s + 2*s**2 wrt s?\nAnswer: -57840*a*q*s**3 + 24360*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -1191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + 2 + sqrt(500) - (1*sqrt(500) + 3)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d**(1\/8))**(-5\/13)*(d*(d**(1\/3)\/d)\/d*d*d\/d**(1\/4))\/(d**(-1\/4)\/d**(-3\/4)) assuming d is positive.\nAnswer: d**(-43\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29670 + 52099. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.74 - 6.74. Sort -5, m, 0.1, -0.2.\nAnswer: m, -5, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ahhaaaffh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 0*u = y*u. Is 1 + 12 + -2 + u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.3291747 - -41191?\nAnswer: 41421.3291747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3407 = -3*o, 0 = -14*y + 15*y - 4*o - 695. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63762938?\nAnswer: 2, 29, 167, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 11*y + 78. Let m be x(6). Is m <= 95\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -17159?\nAnswer: -6863.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 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 3*v**5 - 6820128*v**4 + 6820125*v**3 = 0. What is v?\nAnswer: 0, 1, 2273375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794554 to the power of 1\/2, to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13557*j**3*k**3 - j**3*k**2*v**2 + 128*j**3*k*v**2 - j**2*k**3*v**2 + 2*j*k**2 - 12*j*k*v**2 - k*v**2 wrt k?\nAnswer: 81342*j**3 - 6*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 669 = 511. Suppose -4*t - r = -2*t. Let w = t - -210. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002381002665 to five dps.\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1727, -2, 0, -109, 2 in increasing order.\nAnswer: -1727, -109, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(252) - sqrt(252)) - ((-1 + sqrt(252))**2 + 2)) + -3.\nAnswer: -260 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -48 + (-16 + 48 - (23 - 3)) + -8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164\/20 - 1\/5. Let c be (w - 8)*1\/(-2). Solve c = -4*r - 2*v - 16, 0 = -5*r + 2*v + v + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206600.968 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1 + sqrt(1100) - sqrt(1100))*3*-6 + 4 - (3 + 1 + 2*(sqrt(1100) + 1))) + -3)*-4)**2.\nAnswer: 14720*sqrt(11) + 78864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6501 and 298287?\nAnswer: 58762539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -232, -348, -464, -580, -696?\n\"Answer: -116*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 1, h: 2, s: 1, c: 1}. Give prob of sequence fb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-288)\/45)\/((-4)\/30). What is the remainder when s - 11 - (12\/(-3) - -2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -20 (b) 4\/5 (c) -8\/573 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(1088) - (-1*sqrt(1088) + 3)**2 - (sqrt(85) + (2*sqrt(85) - sqrt(85))*-3)\/(sqrt(500)*-1 - sqrt(5)).\nAnswer: -1095 + 614*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12777772 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5639489 to the nearest integer?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/7 + 12015*t**2\/7 - 12501864*t\/7 + 935414892\/7 = 0 for t.\nAnswer: 81, 1962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p - 2*l, 4*p + 5*l = -4 + 16. Solve p*i - 7 - 2 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 824540602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + 3.7. Let m = -1\/24 - -1\/6. What is the second biggest value in q, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 127*a**2 + 1078*a - 19. Give k(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 19613099, 4 in descending order.\nAnswer: 19613099, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2434, -4877, -7332, -9805, -12302?\n\"Answer: -z**3 - 2436*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30528 and 36.\nAnswer: 30528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 875*a**2 - 16 + 878*a**2)*(2 - 3 + 3).\nAnswer: 6*a**2 + 4*a - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 6*z**3 + 8*z**3)*(-4*z**2 + 6*z**2 - 3*z**2) - 4*z**5 + 2*z**5 - z**5 - 2*z**2.\nAnswer: -7*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.72 + 4.2. Let l = f - 0.18. Sort -3, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)*r)\/r**(-2\/51))\/((r*r**(2\/15)*r)\/(r*r\/r**6)) assuming r is positive.\nAnswer: r**(-1283\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -821\/9. Let x be 2\/3 + (-7)\/(-3). What is the closest to -1\/3 in 0, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*u**3*v**3 + 394148772*u**3*v**2 + 1340556*u**2*v**3 - v**3 wrt v?\nAnswer: 282*u**3 + 8043336*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -45*t**2 - 85*t + 12. Let c be p(-2). Let q(o) = -2*o - 5. Let s be q(-5). Solve -5*h = -c*r + 1 - 11, 0 = r + s*h - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 7 + 17*d**4 - 11*d**4 - 9*d**4 + 6*d**3 - 2*d**3 - 2*d to the form f*d**3 + l*d**4 + s*d**2 + o + y*d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:05 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -16 - (-4 + 3 + (-13 - -1))) + 89?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose 2*s + 8 = -h*s. Is ((-33)\/3)\/(s\/2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 798761720*o + 79752535667169800.\nAnswer: 2*(o - 199690430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7399069 is divided by 308294.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 1. Let m = -435 + -599. Let a = m + 1038. Calculate the least common multiple of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 13\/3)*-3. Let w be c\/4 + (-6 - (-309)\/(-12)). Let u = w + 40. Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 19. Let c be 2 + -1 - (-31 + 2). Suppose 6*b - b = c. Calculate the greatest common divisor of v and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:07 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 5) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 77*w - 100*w + 187. Solve 1055 = w*n + 1010 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 25*i**3 - 9*i**2 - 13*i. Let m(h) = 6*h**3 - 2*h**2 - 3*h. What is -26*m(z) + 6*r(z)?\nAnswer: -6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -14, -20, -42, -86?\n\"Answer: -d**3 + d**2 + 8*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 26*b - 14. Give x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*z + 18 = 0, 12 = -2*z - 2*z. Let q be 4\/i*(-105)\/(-10). Let c = q + -3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 2582 = 7*z + 1982 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 55*z - 56.\nAnswer: (z - 56)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931817525.\nAnswer: 5, 43, 107, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 12*g**2 - 7*g + 29. Is v(-12) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/4774 and 75\/5392?\nAnswer: 12870704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 426*r - 861*r + 435*r - 49*r**2 + 15*r**2.\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n + 567. Let c(j) = j + 27. Let f(m) = 21*c(m) - s(m). Let d(z) = 1909*z + 2. Calculate f(d(x)).\nAnswer: 5727*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhk when three letters picked without replacement from uumhhkhmmmuhhmm?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-836)*((-3)\/(-4))\/((-48)\/(-1024)))\/1.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*w - 240*w + w**4 + 2 + (3*w + w - 2*w)*(w**3 + w**3 - 3*w**3) - w**4 - 5*w + 5*w to o*w**3 + p*w + m*w**2 + l*w**4 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c - n + 3, 0 = -5*c - 3*n + 6. Suppose c = -5*v + 20, 3*z - v + 52 = 4*z. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.8430892?\nAnswer: 4.215446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 4*y**2 - 3*y - 4. Let g be j(-4). Suppose g*i - 1 = 39. What is the smallest value in 1\/4, i, 2\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*2)\/((-8)\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 360401.186 + -360379.07597794. Let j = n + -22.11. What is j rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 39. Let k = -174\/5 + v. What is y in 0 + 0*y + 3*y**3 + k*y**4 - 6\/5*y**2 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 15 + 51 = 0. Suppose 23*g + 360 = 27*g. Let m = g - i. List the prime factors of m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**2 + 8*g - 4. Let l(o) = -6*o**2 + 4*o - 2. Suppose -v = -6*v - 20. Let q(t) = v*a(t) + 7*l(t). Factor q(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119708 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 636693 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248229 + -1612992025\/6498. What is the common denominator of 28\/3971 and u?\nAnswer: 71478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2 + 18 = 0. Let p = 2 + -1.5. Which is the smallest value? (a) p (b) g (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 17*i + 1. What is j(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-1\/2))\/h))**(-43)\/(((h**4*h)\/h)\/h**(-2\/17)) assuming h is positive.\nAnswer: h**(-2333\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 47*q + 14. List the prime factors of m(19).\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1, s: 2, h: 3, v: 1}. What is prob of picking 1 v and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3878, -3871, -3854, -3821, -3766, -3683, -3566, -3409?\n\"Answer: a**3 - a**2 + 3*a - 3881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25324 + 10524. What is u rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2193877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19977\/28 or 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**5 + 19*d**4\/12 - 7*d - 1. Let j(i) be the first derivative of o(i). Find the third derivative of j(c) wrt c.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -9 + 4 + (3 - -3) + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506 divided by -2.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 4. List the prime factors of ((-6)\/9)\/(h\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243438307 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6 - (-609)\/441. Let z be 1 - (1 + 2\/1). Let u = z + 3. Is i equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 23*l**2 + 2*l + 1. Suppose 24 = 3*w - 5*w. Let s = w + 10. Is p(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -3*sqrt(80) + sqrt(80))\/sqrt(5))\/(5*sqrt(128)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8*3\/(-12))\/(2\/(-3)). Is x at least as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 208*h - 165. Calculate a(-12).\nAnswer: -4101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:07 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 3*x = 5*u + 19 + 20, -2*x = 32*u - 112 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 31*q + 60 = 0. Let z be 2\/(0 - 1) - -12. Let m be 9\/q*z\/3. Solve 15 = l + m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let b be 2 - 2\/4*-2. Suppose 17 - 2 = 3*q, -3*j - q + 5 = 0. Suppose 0 = p - b - j. What is x(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 2 v when four letters picked without replacement from {q: 2, i: 7, v: 8, x: 2, e: 1}?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235)\/(-140) - 3\/((-25)\/(1200\/252))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212159184 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0.3 (b) -3 (c) 1.1 (d) 0.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -19*c + 25*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -255 (c) -4 (d) -27 (e) -1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10353 - -4?\nAnswer: -10347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184437 and 5911?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 - 5*c**3\/3 - 5*c**2 - 9*c - 108. What is t(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/1317 (b) -4 (c) -2 (d) 1525 (e) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*r - 26, 9*g + 28 = 14*g - r. Let o(b) be the second derivative of -b**5\/20 + 5*b**4\/12 + 4*b**3\/3 + b**2\/2 - 8*b. Give o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 5*l**2 + 4*l + 4. Let p be x(4). Suppose -p*w + 83 = -3*w. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111113 (base 4) in base 14?\nAnswer: 6d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, w: 3, y: 3, m: 7}. What is prob of picking 1 e and 1 y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 + s**2 - s - 1. Let d be g(-1). Let p be (-2821)\/4735 + (-3)\/d. Let h = p - -101281\/11364. Calculate the common denominator of h and -81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from shshhbseshaasbssa.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 4. Let f be 2\/11 - (-224)\/(-22). Let o(b) = b**2 + 11*b + 4. Let d be o(f). What are the prime factors of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23748710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 2*g**2)*(-2*g + 2*g - 2*g**3) - 3 + g**5 + 3 + 0*g**5 - 4*g**5 + 5*g**5 - 181337*g + 29*g**5 - 4*g**5 + 181275*g.\nAnswer: 29*g**5 - 62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*s + 142*s - 236*s to u + x*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1592 + 1592.2. Let u = 21 - 19. Which is the closest to h? (a) 2\/17 (b) -7 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 18*y - 4752 = 0. Suppose 4*m = -s + 44, 3*s + 10*m = 8*m + y. Calculate the least common multiple of s and 4\/(-5)*5\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -646 - -668. Is 21 a factor of (-4 + j)\/(2 + 204\/(-105))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 4444.247.\nAnswer: -2222.1235","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 6*c)*(1 + 2 - 2) + (4 + 2*c - 4)*(-2 + 4 - 1)*(214 + 16 - 88).\nAnswer: 286*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + -4 + sqrt(1053) + 3 + 4)**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Suppose h = -o - o + 23, 3*h = 4*o + 119. Let y = -33 + h. Sort r, 2, y in descending order.\nAnswer: 2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:50 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4217902, 4217914, 4217926, 4217938, 4217950, 4217962?\nAnswer: 4217974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45349331*b**3 - 22674644*b**3 - 22674563*b**3.\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (3*sqrt(85) + sqrt(85) + sqrt(85))*6)\/sqrt(5)*5 - (sqrt(2448) + 4)*-6*-2.\nAnswer: -289*sqrt(17) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + a**2 + 7*a - 9. Let f be y(2). Let s = f + -24. Let t be ((-10)\/(-6))\/s - 272\/(-204). Solve 1 = -t*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 15578801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11866 is divided by 5933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - (-325)\/(-234). Let a(i) be the first derivative of 1\/6*i**2 + l*i**3 + 0*i - 2. Factor a(o).\nAnswer: o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.8 and -0.0762223.\nAnswer: -0.82320084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/4 + (-2)\/4. Let x = t + 3. Let g(s) = s**3 + 2*s**2 - 3*s + 2. Let d be g(x). Solve 4*o = 2*b, 4*o = 3*b - d*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 125. Let k be i(12). Let w = -25 + k. What is the remainder when 131 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/8 - o**3\/3 + 3*o**2 - 3. Let w(l) be the second derivative of i(l). What is the first derivative of w(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:30 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 98 (b) 5 (c) 0.421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*n*o**2 + 368*n*o - 21*n + 233*o**5 + o**4 - 26*o wrt o.\nAnswer: 246*n + 4660*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6\/18*(2 - -739) + 8 and 8.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -5*p + 2*p, -3*d - p = -6. Suppose 0 = -3*y - 5*y + 48. What is the remainder when y is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (-3 - (0 + 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 977607 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*a = -4*h - 4, a - 6 = 2*h. Suppose 5*k - 102 = a*k. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2 + 4*c - 3. Suppose 0 = 7*z - 5*z - 6. Let x be i(z). Is x + (3 - 1 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*n**3*y**2 + 6*n**3*y + 752*n**3 - y**2 wrt y?\nAnswer: -20*n**3*y + 6*n**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14272*d**2*f*s + 252*d**2*f - 3*d**2*s + 4*d**2 - 2*d*s + 10884*d wrt f.\nAnswer: 14272*d**2*s + 252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 - -265. Let z = 0.836 + 0.164. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8853188 by -4.\nAnswer: -2213297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o + 422. What is j(-34)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-33)\/(-8184)). Let i = c - -419. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) 0.0295 (b) -12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(((x*x*x\/(x\/x**19))\/x)\/x)\/x*x*x*x\/(x\/(x\/((x\/x**17)\/x*x))))\/(x\/((x**(-6\/5)*x)\/x*x)*x*x**(3\/17)) assuming x is positive.\nAnswer: x**(3028\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 14*y**3 - 277*y + 3 - 3 + y**3 + 282*y as t*y + l*y**3 + p*y**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 482*c**2 + 467*c**2 - 314*c**2 + 3*c - c**2 - 3*c + (-4 + 4 + 2*c)*(-2*c - 2 + 2).\nAnswer: 630*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**3 + 2*q + 1. Suppose -2*m + 8 = 0, i - m - 11 = -4*m. Give y(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16402*x**5 + 2*x**2 + 46*x - 2 wrt x.\nAnswer: -984120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*j - 115*j + 140 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2.3. Let t = -1.2 + q. What is the closest to 0 in -5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 + 9*o - 10. Let d be c(25). Suppose 0 = -17*q + 6864 + d. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 111*y - 112*y - 3*r, -5*r + 45 = 5*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8587, 34458, 77585, 137974, 215631, 310562?\n\"Answer: b**3 + 8622*b**2 - 2*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/7 - 6*w**4\/7 + 15*w**3\/7 - 8*w**2\/7.\nAnswer: -w**2*(w - 1)**2*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4251, 4257, 4263, 4269, 4275?\n\"Answer: 6*r + 4245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228813593574 less than 386?\nAnswer: -1228813593188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 586 divide 267255848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**25\/(r\/(r**(-2\/5)*r*r*r))**(12\/5)*(r**(-2\/19)*r*r**(-6))**(10\/3) assuming r is positive.\nAnswer: r**(4972\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 15.44. Let c = 1.51 + b. What is the fourth biggest value in 3, -1\/2, -0.1, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 12*q**2 - 100*q - 84.\nAnswer: 4*(q - 7)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/3 - -128\/15. Let o be (-52)\/(-78)*(-6)\/(-10). Are d and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344\/5 + 69. Which is the closest to -2? (a) 0.3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 - -489?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -82\/1555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 398*p - 393*p - 25 = 0, 0 = -a - p + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12220 = 5*h + 3*u, 4*h + 2*u - 9784 = 0. Let j be h + -5 - 1 - 0. Let f = j + 761. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3193 and 27.\nAnswer: 86211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 - u + 104. Let g be i(0). Suppose 0*h - 4*h = -g. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**7\/14 - 23*n**6\/10 + 519*n**5\/20 - 481*n**4\/4 + 165*n**3 + 1000*n. Let q(m) = 0. What is m?\nAnswer: 0, 1, 5, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 3814381320338.48.\nAnswer: 3814381320340.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -396 (b) 5 (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*64\/(-48)*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 20, 0, 5, -5 in decreasing order.\nAnswer: 20, 5, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1924*f**3*u*y**3 - f**3*u*y - 16*f**3*y + 34*f**2*y**6 - 65*f**2*y**2 wrt y?\nAnswer: 11544*f**3*u + 4080*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 121001200221?\nAnswer: 121001201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 71, 24, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, v: 1, c: 1, t: 1}. What is prob of sequence tf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = a - 151, a + 128 = -215*h + 211*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3208 - 0.3108. Sort -0.8, x, 1 in decreasing order.\nAnswer: 1, x, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/144*1\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 4*w + 4*w + (4 - 2 - 3)*(-2*w + 7*w + 0*w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760.3602 rounded to 1 dp?\nAnswer: -1760.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 20, -5*u + 25 = -2*h. Let c(t) = -t - 5. Let y be c(u). Let p = 24 + y. Calculate the remainder when 23 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003303558 to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43)\/(-15) - (-26)\/195. Suppose -u*w - 3*s + 10 = -5*s, -3*w - 4*s - 20 = 0. Solve -3*z + w = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000077 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -45, -115, -233, -411, -661, -995, -1425?\n\"Answer: -2*t**3 - 6*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-20))\/(3\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y. Let i(v) = 9*v. Let d(a) = -9*i(a) + 4*t(a). Give d(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22257.\nAnswer: 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13636 (base 7) in base 4?\nAnswer: 322213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 4, y: 3, k: 2, e: 1, h: 1}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12447 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -525.0347 - -525. Let o = 1.9653 - t. Sort o, 3\/7, -2.8 in increasing order.\nAnswer: -2.8, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/(54\/1644))\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 3 - -2) + -1. Solve j = 5*k - 3*a + 1, -2*k + 5*a - a - 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 49 = -0*u. Let x = u - 5. Suppose x*j - 17 = 4*t + 5, 2*t + 17 = 3*j. Put -8, -1, j in increasing order.\nAnswer: -8, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/833 and 30\/49?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2*(-2 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m + 7. Suppose 0*o - o = 7. Let n be a(o). What is the highest common divisor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83736 divided by -1163?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681136421 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(275)*-3 - sqrt(275))*-2 + sqrt(275) + 0 + -5 + sqrt(275)))**2.\nAnswer: -500*sqrt(11) + 27525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 - 114. Let d = k - 68.9. Put 0.4, -5, d, 1 in descending order.\nAnswer: 1, 0.4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 52 + 18)*(-1 + 1 - t) + 2*t - t + t to the form g + s*t and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -72) + 39 + -4 + 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 3*z - 4. Give b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 5*o - 10, 5*g = 3*o + 37. Let m be 3\/g*100\/4. What is the highest common divisor of 165 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337951 + -0.4.\nAnswer: -337951.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 1.9. Which is the third smallest value? (a) 0 (b) -3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55129547 or 55129542?\nAnswer: 55129547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = -5*o. Which is the smallest value? (a) 1 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 2, c: 9}. What is prob of picking 1 c and 2 i?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11110221 (base 3) to base 4\nAnswer: -303001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -4)\/(-18)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2. Let z(q) be the first derivative of -q**4\/6 + 9*q**2 + 104. Let w(t) be the second derivative of z(t). Determine m(w(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1300 + -1202?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1790 - -1840. What is the remainder when 747 is divided by b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*z**5 + 17 - 4*z**2 + 2*z**2 - 5*z**4 - 2*z**5 + 4*z**4 wrt z?\nAnswer: 480*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194698?\nAnswer: 2, 7, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44339164343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*z**2 - 1215*i*z - 26548*i + 3*z**3 - 2 wrt z?\nAnswer: -4*i*z - 1215*i + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/7 + 234\/21*10. Suppose -15*k + i = 13*k. Solve -1 = k*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*f + 586*f = 284*f + 472 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 33\/12)\/(14\/(-112)). Solve -l = 4*p - s, p - 5*l - 16 + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**2 - 8*c + 13. Let i be 140\/180 + 4\/18. Let d(j) = 2*j**2 - 1. Let q(z) = i*u(z) + 5*d(z). Determine q(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-17\/5)*j)\/j))\/(j*j*j\/(j*j**14\/j)*j))**(-47) assuming j is positive.\nAnswer: j**(-3384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - 8*n + 5. Let x be m(3). Let s be x\/(-3) + (-26)\/6. Let t be 1 + 8\/s - 4. Sort 0, -0.2, t in descending order.\nAnswer: 0, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -337 - b2?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86228928, 172457853, 258686778?\n\"Answer: 86228925*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 119*k + 121. What is the tens digit of y(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*o + 131*o - 3448 = -19*o + 640*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9109, -18217, -27325?\n\"Answer: -9108*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5912 is divided by 842.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - ((3 + -2 - -16) + 1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8591222 rounded to three decimal places?\nAnswer: 4.859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/11 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**33)*z\/(z*(z*(z*z\/z**(2\/7))\/z*z)\/z))**26 assuming z is positive.\nAnswer: z**(5694\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38631 is divided by 280.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*q + v, -3*q - 3*v = -61 - 29. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*l + 21*l - 9*l + (5 - 1 + 0)*(-3*l + 2*l - 2*l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/(-6))\/(2\/12). Let o = 2 - 0. Let q(i) = -i**3 + i**2 - i + 1. Let p(d) = -10*d**3 - d**2 - 10*d + 12*d**2 + 12 + 0*d. Determine o*p(b) + t*q(b).\nAnswer: 2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(1331) + sqrt(1331)*1)*-2)**2 + 4 + -4 + 1 + sqrt(1331))*3.\nAnswer: -2299971 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 5859?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/10 + -1)*25. Suppose 4*x + 2*z + 0*z = 434, 0 = z + 3. Calculate the highest common factor of x and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3676 + -3671. Which is the closest to -1\/3? (a) 6\/13 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 26412533847 - 26412533847.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 73870306.\nAnswer: -2\/36935153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*l**2 - 1610 - 316*l**2 - 295*l**2 + 1610 + 878*l**2.\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*y**2 + 14*y - 4*y**3 - 24*y**2 + 0*y + 3.\nAnswer: -(y - 3)*(y + 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 55*b**5 - 315*b**4 - 190*b**3 + 15*b - 30. Let z(s) = -8*s**5 + 45*s**4 + 27*s**3 - 2*s + 4. Let c(j) = 2*q(j) + 15*z(j). Factor c(y).\nAnswer: -5*y**3*(y - 5)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -24. Suppose 0*z - 3*b - m = z, 4*z = -b + 28. What is the least common multiple of 4 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 12*b**3 + 6*b**2 + 32*b - 24 = 0. What is b?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11841*a**2*v**2 - 2*a - 6*v**2 + 4*v - 14 wrt a?\nAnswer: 23682*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3*c**4\/22 + 2*c**3\/11 + 10. Factor m(u).\nAnswer: 6*u**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -379, -2\/253, -3?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.5058775 to one decimal place.\nAnswer: 39.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4445923?\nAnswer: 23, 193301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/(6\/6))\/((-19)\/(-38)). Solve -4*y - 18*y = -u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + ((-26334)\/55)\/7. Is p equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*z + 18*z - 19*z)*(4 - 4 + z + (2*z - 4*z + 0*z)*(-2 + 0 + 4))*(-2*z + 4 - 4)*(-4 + 3 + 2).\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.3 - -82.7. Let v = -90.2 + n. Let y = -2.8 + v. Which is the closest to 1? (a) y (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -48c335 (base 15) to base 14\nAnswer: -669817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.203 + 0.19. Let c = i - -0.623. Let b = -0.60906 + c. What is b rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 6.2, 0.21, -2, 4, -9.86?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -8. Let j be (24\/9)\/(x\/(-9)). Suppose -j*f = 3*z - 97, 4*f - z - 110 + 25 = 0. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104 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: Put -0.2, -7, -4, -1\/8, -0.02 in decreasing order.\nAnswer: -0.02, -1\/8, -0.2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 14*z + 2. Let u be o(-14). Find d such that -5*d**2 + 7*d**2 + d**2 + 0*d**u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/4)*s*s*s\/(s**12*s)*s*s*s*(((s\/s**3)\/s)\/s)\/s**(-1\/3) assuming s is positive.\nAnswer: s**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 10. Let d = x - -35. What is the greatest common divisor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 40. Suppose 0 = v*w - 9 - 21. What is the remainder when ((-27)\/w)\/(4\/(-16)*1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) -3\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-649*y + 2 + 1708*y - 657*y)*(-2 - 6 + 20)*(2 + 4 - 3) - 1 - 2*y + 1 as o*y + w and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-14\/5))**(3\/10) assuming c is positive.\nAnswer: c**(-21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2600 divide 38199200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - 3*f + 2*x, 4 = -x. Suppose 21*i + 8 = f*i. Solve 3*m + 3*q - 16 = m, 0 = -i*m + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11629400*u**3 - 11629406*u**3 - 251 + 23258808*u**3.\nAnswer: 2*u**3 - 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392976005.\nAnswer: 3, 5, 17, 127, 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Suppose -r = -3*l - 4 + 1, -2*r + 2*l - 2 = 0. Let t be 3 + 1 + r + 3. Let g(a) = 2 - t + 2 + 2*a**2. What is f(g(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 92. Suppose -i*l - 10 = -18*l. What is the first derivative of 2*a**l + 7 - 22 - 3*a**2 - 6*a**2 wrt a?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9*i - 6 = 0. Let n be (-1)\/2 - 1\/(-3). Which is the closest to i? (a) -6 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151735 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1, k: 1, a: 3}. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 106672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 33, -123, -317, -549?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000074147563 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2.107 (b) -1 (c) 2116 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/30 - l**5\/30 + 3*l**4\/4 - 7*l**3\/6 + 13*l**2. Is g(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65659 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 + 7. Let a = h + -0.367. What is a rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wymm when four letters picked without replacement from {w: 4, y: 9, m: 5, c: 1, v: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - (4 - (0 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - k - k - 41 + 250.\nAnswer: -4*k + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-470)\/(-40)*(44\/(-33))\/(20\/(-60))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 6:05 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2*5)\/(-2). What is the units digit of (t*31)\/(18\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - r - 24 = 3*r, -2*t = r - 7. Solve 3*k = k - 5*c - 1, t*c = 2*k + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6522, -13091, -19660?\n\"Answer: -6569*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*t + 14, -t - 40*z = -42*z - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 15*g + 18. What is i(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 24389619. Let f(g) = -g**2. Determine b(f(r)).\nAnswer: r**2 + 24389619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31864*x**4 + 3*x**3 + 36*x + 283548?\nAnswer: 382368*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (32756\/42)\/1 - (-24)\/252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, 0.5, -0.1, 139932, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.24 + 4.44. What is the fourth biggest value in 1, -2\/5, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -2, 102, -2\/7, 5, 17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 49 - 10 = 0. Let z(j) = -j**2 + 7*j + 2. Let f be z(7). Suppose 2*g - 14 = f. What is the remainder when c is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39322.64ml in litres?\nAnswer: 39.32264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(3*sqrt(1053) + 0) - (sqrt(1053) + 3*(sqrt(1053) - (sqrt(1053) + 4)) + sqrt(1053)*-3 + -2))**2.\nAnswer: 15624*sqrt(13) + 4047928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13985687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*3\/((-18)\/(-20)). Let o = u + 14. Let k = 14 - 10. Solve 20 = o*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -111*h + 6. Let j(x) = -30*x + 1. Calculate j(v(m)).\nAnswer: 3330*m - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 + 3*t**2 - t**2)*(312 - 162 - 45) as k*t + u + q*t**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 + -329. Sort 6, 2, -14, w in ascending order.\nAnswer: -14, 2, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 357476.7ng?\nAnswer: 0.0000003574767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300.00248us to weeks.\nAnswer: 0.000000002149475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396754 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3881, 8269, 12915, 17807, 22933, 28281?\nAnswer: 33839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 2 - (8 + -11). Let r(k) be the second derivative of k**z + 0 - 3\/2*k**2 + 2*k - 1\/4*k**4. Factor r(t).\nAnswer: -3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590910435?\nAnswer: 3, 5, 7, 43, 795329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.05 - 7.0838. Let v = 4.9662 - c. Sort v, -57, 0.5, 4\/5 in ascending order.\nAnswer: -57, 0.5, 4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 + 1 = 0. Suppose 3976927 = a*c + 23176927. What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 13*c + 49*c + 121*c - 53*c - 418*c.\nAnswer: -268*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 4*w - 6. Let x be p(5). Let r be (-9)\/21 + (-17)\/(-7). Sort r, x, 4 in ascending order.\nAnswer: x, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let m(o) = 32*o - 24*o - 21*o. What is m(a(s))?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - 214\/(-14). Suppose 19*d - l*d = 0. Solve d = z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262009 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086918 is divided by 217383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, f: 10}. What is prob of sequence fff?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32114 + 210?\nAnswer: 32324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -21 (b) -0.3 (c) -2 (d) -4\/5 (e) -4 (f) 2\/1309\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87658749.2 rounded to the nearest 10000?\nAnswer: -87660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -995 (b) 2\/15 (c) 57.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1492602772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 2. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2. Let z(n) = 24*n**3 - n**2 - 79 + 17 - 3*n**2. Let a(r) = -5*v(r) + z(r). What is the derivative of a(b) wrt b?\nAnswer: 57*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6588 - 20*s**3 - 6588.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 times -12686?\nAnswer: 15273944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2867 divided by 8\nAnswer: -2867\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 764*t**4 + 768*t**4 - 1550*t**4 + 2 - t**3 to the form v*t**2 + l*t**4 + z*t**3 + y*t + w and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43836, 43606, 43228, 42702, 42028, 41206?\nAnswer: 40236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 - 6*v + 20. Let b(z) = -3*z**2 - 2*z + 7. Give -4*a(x) + 11*b(x).\nAnswer: -x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -4.02. Let r = -13 + 10. Suppose -g + 9*g = 8. What is the closest to r in g, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, b: 1, d: 3}. What is prob of sequence dbak?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 74*u - 515. Determine z(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 9*c**2 - 48*c**2 + 0*c**2 + 4*c**2 + 3*c**2 - c**2 + 0 + 0 + (6 - 2 - 2)*(2*c**2 + 1 - 1) - 2*c**2 + 0 + 0.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227737 is divided by 1898.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q + 110. Calculate the remainder when q is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -10. Let r = c - 0. Let k = -4 - r. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43816 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 4*l**2 - 4*l. Let u be b(-4). Let o = -3350 + 3374. Suppose -19*x + o = -u*x. Are 8 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 202*o + 1545. Determine x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 777065400 divided by -27?\nAnswer: -28780200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5467920723.005157 + -5467914139. Let d = -6584 + g. Let k = -0.005 + d. What is k rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.92 times -0.892?\nAnswer: 2.60464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-41)\/(205\/(-17490)) - 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthtffhtttthht. Give prob of sequence th.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318727183.759 plus 0.5?\nAnswer: -2318727183.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-12 + -6 - (-9 + 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/27*(-9)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 28*n**2 - 15*n + 12. Let r(s) = -13*s**2 + 7*s - 6. What is 13*r(u) + 6*v(u)?\nAnswer: -u**2 + u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735203 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uscumccmsuuu. Give prob of picking 1 m, 1 c, and 1 u.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3 + 44\/8) + -6 + 62. Solve -4*m + 46*c - 18 = l*c, 3*m + 4 = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4046 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 323 + h - 2*h**2 - 322.\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*d + 30, 6*d - 23 = d - f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (-2*(sqrt(216) - sqrt(54) - sqrt(54))\/sqrt(3))\/(sqrt(1296) - -6*sqrt(1296)*2))*-6)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/239 (b) 1\/3 (c) -1\/11 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 - 2*o**2)*(1874 - 1874 - 64*o).\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 8*a - 8*a)*((-a + a + 2*a)*(282*a - 558*a + 278*a + 40*a**2) + 4*a**3 - 2*a**3 - a**3).\nAnswer: 162*a**5 + 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4971 divided by 3?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1160*l - 471. Is f(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49754 - -6?\nAnswer: 4975a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 22*z**2 - 1156*z - 823. What is s(47)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 457736 divided by -4\nAnswer: -114434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 421305.9 litres?\nAnswer: 421305900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8579*z = -8384*z + 5265 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 2:34 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 39 + 21. Solve 0 = -4*z - x + v, x + 3 = 5*z - 3*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 1, k: 2, v: 1, w: 1, b: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a - 6*a - 4*a**3 + (-309*a + 2*a**2 + 156*a + 127*a**3 + 153*a)*(10 + 6 + 2).\nAnswer: 2282*a**3 + 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**3 + d**4 + 12*d - 12*d)*(-64 - 1 - 2) to the form y*d + o*d**4 + c*d**2 + t*d**3 + x and give t.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/27 - 521\/54. Let h(a) = a**3 + 6*a**2 - 5*a + 3. Let w be h(-7). Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 781679 + -33?\nAnswer: 781646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4525 - 4525) + (-3 + 1 - 1) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/555 + 10883\/1110. Let c(w) = -59*w**2 - 9*w + 8. Let h be c(5). Find the common denominator of h\/16*(-3)\/90 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661033205?\nAnswer: 5, 7, 131, 144173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -67*q - 73. Determine k(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 2*g + 5*g + 336 - 2*g - 336 + 3*g + 3*g - 2*g + (2 - 2 - 2)*(0*g - 4*g + 2*g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(352\/((-56)\/7))*-2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/7205 and -29\/100650?\nAnswer: 13185150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 9) to base 7.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) - sqrt(252)*-1) - (sqrt(252) + sqrt(252)*2*-6))**2.\nAnswer: 72828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 + 17*t - 31. Calculate the remainder when i(10) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9742764 to the nearest integer?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9*n**3 + 33*n**3 + 11.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524663214 to the nearest integer?\nAnswer: 22906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -27*d**3 - 38*d**2 + 47*d + 120. Let h(c) = 10*c**3 + 13*c**2 - 16*c - 42. Let u(q) = 8*h(q) + 3*x(q). Calculate u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -r. Suppose -s = j - 0*j - 20, -r*j + 42 = 2*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712575809 take away 2868?\nAnswer: -712578677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 187701384 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*y - 66, -4*n - y + 0*y = -150. Suppose -36*h = -n*h + 45. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 774 and 21?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - -1001011120?\nAnswer: 1001012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25 + (-164)\/190 + 167\/835\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413\/2442 + -1\/407. Which is the nearest to 0? (a) 0.5 (b) 4 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4421798, -4421799, -4421800, -4421801?\n\"Answer: -g - 4421797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2321.3?\nAnswer: 464.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 6) to base 13\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 301*i**6\/30 + i**5\/20 - 596*i**3\/3 + 27*i - 17. What is the second derivative of w(m) wrt m?\nAnswer: 3612*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*h - 5 + 21, 4*h - 16 = 0. Suppose -t*c + 2 + 6 = 0. Find the third derivative of -c*j**2 + 5*j**3 + 4*j**2 + 2*j**2 wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:57 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/25 + 109*d**4\/15 - 224*d**3\/5 - 7428*d. Factor z(c).\nAnswer: 4*c*(c - 3)*(c + 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32929 - 26980. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 7 = 0. Suppose 5*q + 338 = 2*b, -3*b + 2*q + 457 = y*q. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 + 346*t**2\/5 + 1749*t\/5 + 2106\/5.\nAnswer: -(t - 351)*(t + 2)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 56 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -42*d + 214. Suppose 0 = -y - 0*y - 2*y + 15. What is w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f*o**3 + 2*f*o**2 - 7*f*o + 63*f - 1704*o**3 + 83 wrt o?\nAnswer: 108*f - 10224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133440014 + -101?\nAnswer: 133435513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3822\/(-2184)*(-216)\/(-105).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 7.7, -9 in ascending order.\nAnswer: -9, -4, 4, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from jzzjjzj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 1152 = 37*h - 140. Solve -5*t = 42 - h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {t: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2 - 137303244*b - 4713045203230884 = 0.\nAnswer: -68651622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(324\/16)\/(-9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4265514 and 5454?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -9 + 17 + -9 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.775484 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000845633 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - (-2)\/7. Let s(l) = -2*l + 20. Let o be s(7). Suppose 0 = o*w - 3*w - 9. Solve i*d = d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - 11 - (2 - 2). Suppose -4*w - 2 = -f*w. Let v(a) = a**3 + 2*a**2. Calculate v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23406*1.\nAnswer: -23406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = -2. Calculate the common denominator of -71\/6 and (-29)\/(-33) + y\/24.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - -7) + -12 + 8 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*m = 2*k + 135228, 4*m - 67614 = -k. Suppose -z - 10884 = k. Let o = z - -117498. Round o to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - (6 - 3) - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20*k - 740. Let w be n(-37). Solve -19*c + 15*c - 4 = w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.413251 litres?\nAnswer: 9413.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.032445 rounded to two decimal places?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 170*p - p**3 + 14*p**4 + p**2 + 172*p - 5*p**4 + p**4 as o*p + m*p**3 + v*p**2 + x + k*p**4 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)\/u)**31)**(2\/139) assuming u is positive.\nAnswer: u**(31\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*w - 15 = 2*w, 0 = -3*w + 9. Let n be c + (-3)\/(-3312)*-3973. Let p = 5\/138 + n. Find the common denominator of p and -91\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 48.1. Let h = -199 - -198.93. Which is the closest to d? (a) 5 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/(28\/147).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*z = 85*z + 16130 + 7190 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4*1 - (-138)\/23. Let o be (-13 - (-2 + -2))*j\/6. Let n(h) = h**3 + 2*h**2 + 1. Calculate n(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 8*x + 15. What is the smallest common multiple of w(7) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6*o + 5)*(2 + 2*o - 2)*(-8 - 14 + 12) in the form p*o + v + x*o**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5373*q + 5365*q = -2744. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 - 29*m**2 - 81*m - 83. Let d = 17 - 8. Let a(f) = 12*f**3 + 117*f**2 + 324*f + 333. Let v(i) = d*c(i) + 2*a(i). Factor v(r).\nAnswer: -3*(r + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 17*s = 31*s - 48 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 106. Suppose 9 = -4*a + n. What is the lowest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6907, -13773, -20635, -27493, -34347?\n\"Answer: 2*x**2 - 6872*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47840 and 81328.\nAnswer: 813280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k + 3. Let g(h) = 2*h**2 + 17*h + 10. Let f be g(-8). Let s be l(f). Suppose -50 = -z + s. List the prime factors of z.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5945 = -1386*c - 114053 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*d + 16 = d, -4*i = -3*d - 2. What are the prime factors of (18\/15)\/(i\/35)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 10. Let z = 406 + -1209. Let l = 820 + z. What is the remainder when l is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/42 - (-890)\/(-525)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55742570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -21 - ((4 - 4) + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-3 - (-51)\/15). Let q be (-3)\/(-6)*p\/(-7). Which is the biggest value? (a) 1 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/19, -4, 0.4 in descending order.\nAnswer: 0.4, 0.1, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15602 and 15254?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87.79899 and -3.\nAnswer: -263.39697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4\/2 + 3462*t**3 - 4015863*t**2\/2 + 11950833*t - 15897612 = 0.\nAnswer: 2, 4, 1151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 592, 589, 586, 583?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let z(n) be the third derivative of n**5\/6 + n**4\/12 + 13*n**2. Let i(t) = -11*t**2 - 3*t. Let u(k) = -3*i(k) - 4*z(k). Calculate u(h(q)).\nAnswer: -28*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let l be -348 + (7 - (5 + -6)). Let t = -334 - l. Calculate the least common multiple of w and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -786, -1911, -4100, -7707, -13086?\nAnswer: -20591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6327 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 56 = -7*d. Find the third derivative of 191*o**6 - 20*o**6 - 23*o**6 - d*o**2 wrt o.\nAnswer: 17760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106\/(-4 - (-54)\/12). Let s = t + -208. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 433797 - -7?\nAnswer: 433804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, e: 2, m: 5}. Give prob of sequence ezzm.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 15. Let s = n + 6. Suppose -251 = -s*w + 4*l, -16 = 2*w + 2*l - 188. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10308733, 4, -11 in increasing order.\nAnswer: -10308733, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/7)\/v)\/v)\/(v*v**5)*(v\/(v\/v**0))**(-1\/23))**(-1\/6) assuming v is positive.\nAnswer: v**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -53. Suppose -18 = l - 2*h, -39*h = -38*h - 1. Let n = l + v. Calculate the remainder when 39 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*p - 8 = -618*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Let q = v + -1. Let p = q - 2. What is p rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 2)*(266*z - 266*z - 242*z**3) in the form o + s*z**2 + q*z + m*z**3 and give m.\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, k: 6, x: 1}. Give prob of sequence zk.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1246 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -111000100000011 (base 2) to base 11\nAnswer: -1a811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1539 * 0.0415\nAnswer: -63.8685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/130266 and 99\/289480.\nAnswer: 2605320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62008092 a multiple of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/((k*(k*k*k**(-5)*k)\/k)\/k)*k)\/k*k*k*(k*k**0)\/k*k*k**(-7)\/(k\/k**(-1\/2)) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/14 (b) 2\/9 (c) -2\/5 (d) -3 (e) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22ab17b (base 12) in base 5?\nAnswer: -3203234424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-20)*1480\/(-30). Let g be 23*(-5)\/(2625\/305). Let a = g - s. Find the common denominator of a and -59\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5 - 7 + 9 - 3*w. What is the units digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -180113*z + 7024409. What is t(39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -45.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - 24) + 37 - 48 - -5.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.3? (a) -5 (b) 0.03 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 593.22102 hours?\nAnswer: 3.5310775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + 3*sqrt(125) - ((sqrt(5) + -2*sqrt(5))*1 - sqrt(15)\/(sqrt(12)\/sqrt(4))).\nAnswer: 1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 69940 divided by -5\nAnswer: -13988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 55*l**3 + 10*l**2 + 20*l - 6. List the prime factors of q(6).\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 38 = -26. Let a = 18 - u. Let w be (-5)\/(((-6)\/3)\/a). Solve -22 = w*m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 1. Let t be y(1). Suppose t = -2*z - 7*z + 4221. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:29 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*s - 2*s - 26, s = r + 9. Suppose -19 = -s*x + 53. Suppose 5*k - 906 - x = 0. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12777070 and 51108283\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3667*q - 3671*q + 7*q**4 - 8 + q**2 + 0*q**2 + 4 to a + k*q**4 + n*q**3 + i*q**2 + o*q and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132101 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44453 + -32?\nAnswer: -44485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07189 and -0.18686.\nAnswer: -0.0134333654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852, -857, -872, -903, -956?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6595 rounded to 2 dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-z**2 + z**2 - 2*z**2) + (0 + 1 + 8)*(-33*z**2 - 66*z**2 - 5*z**2).\nAnswer: -932*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x**5 + 140*x**4 + 2164*x**3 - 22952*x**2 + 24432*x + 155232 = 0 for x.\nAnswer: -49\/4, -2, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87.17 in 5, -0.4, 249\/7, 2\/9?\nAnswer: 249\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 16*a**2 - 20*a + 311. Give y(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6925851*h**6 + 122364*h**2 + 2*h - 14.\nAnswer: 831102120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, h: 7, x: 7}. Give prob of picking 1 x and 3 y.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/1347 and -37\/2433?\nAnswer: 1092417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60590157 by -20196719.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107842*w - 107825*w - 85 = 0. Let y(d) = -d**2 + 1. Let j(c) = -2*c**2 - 23*c + 5. Calculate w*y(r) - j(r).\nAnswer: -3*r**2 + 23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 226 = -10. Let x(a) = a**2 - 7*a - 4. Let o be x(r). Factor -8\/3*n**o - 4\/3*n**2 + 0 + 2\/3*n**5 + 10\/3*n**3 + 0*n.\nAnswer: 2*n**2*(n - 2)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26675?\nAnswer: 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*m + 12, -5*m + 2*m = k - 5. Let j be (1 - (1 + -1))\/(k\/266). What is the highest common factor of 38 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 30 = -114. Calculate the remainder when n is divided by -2 + 0 - (-11 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 - 786\/(-1149). Let a = y - -691799\/1532. Let g = a + -446. What is the common denominator of -45\/2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**3 - 19*s**2 - 3*s + 5. Let u(x) = -16*x**3 - 53*x**2 - 9*x + 13. Determine 11*t(j) - 4*u(j).\nAnswer: 9*j**3 + 3*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -63*u**2 - u + 12. Let d be y(4). Round d to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -813\/70 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**4\/10 - 18*j**3\/5 + 216*j**2\/5 - 216*j + 243. Factor n(l).\nAnswer: 2*(l - 15)*(l - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 15*z + 10*z = -32, 3*t - 4*z = z - 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -925371 divided by 1\nAnswer: -925371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 12. Let f be g(8). Let o be (-27)\/(-162) - (-46)\/f. Let w(d) = -d**3 + 3*d**2 + 5*d - 5. What is w(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885446677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -6067, -13708, -24415, -38194, -55051?\nAnswer: -74992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000641847 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -20, 4.\nAnswer: -20, 4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179832 and 16764.\nAnswer: 1978152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 2. Let u be o(-1). Let k be 1 - 2 - (72\/(-9) - -2). Solve 0 = -k*m + n + 12, -5*m - 4*n + 13 + 14 = u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -27. Suppose -15229*j = -15209*j - 2560. What is the remainder when j is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59364.86 litres in millilitres?\nAnswer: 59364860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4))**2*-2 + -3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14444.47062 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52454087255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -96 in increasing order.\nAnswer: -96, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 11*r - 6. Let p be ((-6)\/10)\/(186\/30 + -6). Let w(z) = -z**2 + z + 5. Let s be w(p). What is c(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {d: 1, p: 3, h: 7, s: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 13 = 38. What is the third derivative of x**2 + k*x**2 + 2*x**5 - x**5 - 6*x**5 wrt x?\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214900 divided by -350.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 62. Determine c(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-105)*(-21)\/2. What is the nearest to 0 in 35, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 2. Suppose p = 3*d + 2*d. Differentiate -d*a**4 - 3 + 2*a**4 - a**4 with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10301223 (base 5) in base 11?\nAnswer: 5a977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 1481 + 1346 + 1449 = 3808 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s + 4. Suppose -169 = -s*t + 127. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16345, -32679, -49013, -65347, -81681?\nAnswer: -98015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 28*p = 384. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 171668335 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102895 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*p**4\/4 - 77084489*p**3\/4 + 28295325558603*p**2\/2 - 3462112016344313347*p - 98917497730379018.\nAnswer: (p - 734138)**3*(35*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 6*u**2 - 6*u + 1. Let k(z) = 2*z**3 + 5*z**2 - 5*z + 1. Let r(q) = 5*k(q) - 4*l(q). What is the second derivative of r(h) wrt h?\nAnswer: 12*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13\/4, -1\/4, 0.2, 0?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 733564547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91954001609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 2*q**2 - 8*q + 2. Let p(c) = c**3 + c**2 - 1. Let x(b) = -m(b) - 2*p(b). What is v in x(v) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 10:21 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467446 = -179*v - 177*v + 412590. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73925 - -7437?\nAnswer: -66488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -123757765+1\nAnswer: -123757764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2425*d**3 - 3410 + 457*d**3 + 3410.\nAnswer: 2882*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + (-14 + 815)*(-18)\/(-2754).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 35 = -3. Let d be 5 - (l + 45*-3 + 5). What is d rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100551317*u**4 - 399*u**2 + 4*u - 2307 wrt u?\nAnswer: -2413231608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 824, 1354, 1878, 2390?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3006 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31829885.\nAnswer: 5, 6365977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 117429, 236373, 355315, 474255?\n\"Answer: -q**2 + 118947*q - 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(((-255)\/(-6))\/(-17))\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 3\/323, 11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*g**4 + 27*g**4 + 40*g**4 + (6 + 3 - 7)*(2*g**4 - 2*g**4 + 2*g**4).\nAnswer: 86*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.9261 decades to months.\nAnswer: 2151.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 36*n**2 - 2585*n + 507. Calculate t(-72).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -16. Let k be (8\/(-50))\/(o\/10). Let l be (-24)\/(-2)*11\/110. Which is the closest to -2\/5? (a) k (b) -1\/10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 - 472. Let l = x + 1054. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7566 - -7570. Put 0.5, w, -1, 72, 3 in increasing order.\nAnswer: -1, 0.5, 3, w, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -896 - -1524. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -a - 1249 - 65, -2*m - 2*a = 654. Let l = -296 - m. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**3\/6 - 2645*o**2\/3 - 5275*o\/6 + 5285\/3 = 0?\nAnswer: -1057, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 15*m + 17. Let h be p(-14). Suppose 0 = -5*n - 10, 4*c + h*n = -n + 188. Calculate the greatest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 + 179769 - 179785 - r**2 - 16*r. Let b(s) = -s**2 + s + 1. Determine 48*b(p) + 3*f(p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -1282 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 24*l - 15. List the prime factors of d(13).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 2*f**2 - 3*f. Give i(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -9*b - 40 + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2672 is divided by 1335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64435?\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 18396, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + (-2 + -2 + 19 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084\/1135 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4726122, -9452140, -14178158?\n\"Answer: -4726018*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/251900 and 151\/30.\nAnswer: 755700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3384 < -3385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggzggzzgg. What is prob of sequence zg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*d**3 + 232*d**3 - 174*d**3 - 35*d**3.\nAnswer: -53*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272170247 - 4?\nAnswer: -272170253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/40 - w**4\/6 - 5*w**3\/12 - w**2\/2 + 43*w. Let f(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209774.582 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341882127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:14 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -204884640 to the nearest one million.\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734460 is divided by 56496?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**4 + 4*t**3 - 4*t**2 + 7. Let l(c) = 2*c**4 - 3*c**3 + 3*c**2 - 6. Let m(h) = 4*l(h) + 3*r(h). Differentiate m(s) wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1482 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -43181.0951 to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182*j*u**2*x**4 + 2*j*u**2 + 2*j*x - 2*j + 127 wrt x?\nAnswer: -728*j*u**2*x**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -207*j + 18. Let c be k(-1). Suppose 905 = 20*d + c. Calculate the least common multiple of 136 and d.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.7218 less than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 191 = -183, -w + 5*s - 269 = 0. What is the smallest value in w, 0, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8503*i**3 + 16076*i**3 - 8504*i**3.\nAnswer: -931*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 30. Solve 0*x + x - 19 = 4*f, z = -2*f - 3*x - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, c: 1}. What is prob of picking 1 c and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4)*r)\/(r**(-3)*r))**(6\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -336\/55 + 1558\/165. Factor 2\/9*y**3 - s*y**2 + 50\/3*y - 250\/9.\nAnswer: 2*(y - 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 3, -2302, -9 in increasing order.\nAnswer: -2302, -17, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35571.47 hours?\nAnswer: 128057292000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-12))\/(-4))\/((-18774)\/596).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7344 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1781484 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*q + 28, 2*w = 3*w + 2*q - 5. Let n be 1\/((-2)\/(-2))*w. Let v = -53.4 + 53.3. Which is the biggest value? (a) v (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 154.8429um?\nAnswer: 0.1548429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560141.\nAnswer: 113, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h*h**(-5\/6)*h**4\/(h*h\/(h\/(h**1*h))) assuming h is positive.\nAnswer: h**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -a9b?\nAnswer: ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199914 and 702?\nAnswer: 1799226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c**2 - 11*c**2 - 2*c**2 + 52*c**2.\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19, 14, -5, 4, 2, -209 in descending order.\nAnswer: 19, 14, 4, 2, -3, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, s: 2, z: 1, y: 2, i: 2}. Give prob of sequence zi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 3 - 75)*(3*u + 2*u - 2*u + (-1 - 1 + 3)*(0 + 0 - 2*u)) - 6*u + 3*u + 2*u as l*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 4 + 2)*(2*a - 2*a + 3*a)*(3 - 4 + 2)*(0 + 0 - a**2).\nAnswer: 132*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (2 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57268 and 1236.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/9 - 308*o**2\/9 - 1498*o\/9 - 1192\/9 = 0.\nAnswer: -149, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 6*u + 3. Does 19 divide n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10439625 divided by -15?\nAnswer: -695975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 24*q + 15. Let h be f(-22). Let b = 18 + -22. Let r be (-24)\/b + -1 + -1. Put h, r, 1 in ascending order.\nAnswer: h, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2940685 (base 10) to base 4.\nAnswer: 23031330031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 968 - 6*a - 995.\nAnswer: a - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -77\/5 (b) -5\/4 (c) -1.1801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 11\/((-66)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3071501*-1\nAnswer: 3071501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1371*h - 1292. Let f(b) = -2*b - 8. Let a(j) = -3*f(j) - q(j). What is the first derivative of a(l) wrt l?\nAnswer: -1365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u. Let v = -7 + 6. Let g be l(v). What is the common denominator of 2\/g - 1294\/(-220) and -99\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.468 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35 - 95 + 15*g + 16*g**2 + 7*g. Let f(n) = -5*n**2 - 7*n + 20. Let u(p) = -7*f(p) - 2*j(p). What is the units digit of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1)\/(6*6\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225266.\nAnswer: 2, 163, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlll when four letters picked without replacement from lclchlsdhslddhhdpldh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*x**2 + 1478*x**2 - 2973*x**2 + 5*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 38*d - 206. Let g(l) = 8*l - 41. Let z(f) = 3*a(f) - 16*g(f). Let x be z(3). Put x, -3, -2\/11 in increasing order.\nAnswer: x, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/7 + 135348*n\/7 + 2289885138\/7 = 0.\nAnswer: -33837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367387\/1836885 + -2\/367377. Factor l*d**3 + 0 + 1\/5*d + 2\/5*d**2.\nAnswer: d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -395169*j**5 + 84*j - 1061.\nAnswer: -7903380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008606 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3\/2, -1\/4, -5, 3 in ascending order.\nAnswer: -65, -5, -1\/4, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.985299 and -0.7?\nAnswer: -1.3897093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17322, 34597, 51872, 69147, 86422, 103697?\nAnswer: 120972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.109 times -14\nAnswer: -1.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065600 divided by 1200?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382471933*l**3 + 70623571*l**2 wrt l.\nAnswer: 2294831598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-39)\/(-12))\/(2\/240). Calculate the greatest common factor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let k be 4\/6 + 32\/(-12) + -1. Let i(j) = -j**2 - j + 8. Let l be i(k). Let z be (117\/27 - l\/(-3)) + -3. Let x(h) = -1. Give z*x(q) - y(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 49*f + 1456. Give h(-39).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let v = -12 + 14. Which is the closest to m? (a) v (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 3, 1, -171, 8 in ascending order.\nAnswer: -171, -1, 1, 3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178, 2349, 3516, 4679, 5838, 6993, 8144?\nAnswer: 9291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 53, 77?\n\"Answer: 24*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 148\/6*(15 - 15\/(-5)). Let c = -441 + n. Solve -7 = -2*k - c, 2*x - k = -8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n - n**2 + 8*n + 3*n - 1. Determine r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m + 269. Let h(b) = 5*b + 182. Let p(l) = 7*h(l) - 5*n(l). Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/360 + h**5\/20 - h**4\/12 + 25*h**3\/6 + 38*h. Let d(u) be the third derivative of l(u). What is d(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*f**2 - 1 + 441*f**2 - 1224*f**2.\nAnswer: -195*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.295 + 9.5. What is q rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2699976641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 18) + 5) - 0 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034 + 5?\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0597356 litres to millilitres.\nAnswer: 59.7356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:38 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 70107?\nAnswer: -70074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1590\/3368989 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 69*v = -123*v - 270, -5*q = v + 49 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -4. Let m be 66\/o - (-72)\/(-120). Find the second derivative of d**2 - 9*d - 5*d + m*d**2 wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 9*n - 333. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28715213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 3*a**2 + a - 5. Suppose 13 = 4*d - 7, -4*c - d = -21. Let x be j(c). Solve 0 = -q + 4*q + x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (114 + 49 + -135).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3264 divided by 3.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + -63. Let n = -53 - m. Let o = n + -32.88. Round o to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1848 + -1848. Let j(y) be the second derivative of -1\/5*y**5 + 1\/3*y**3 - 11*y + 1\/21*y**7 + 0 + t*y**6 + 0*y**2 + 0*y**4. Factor j(f).\nAnswer: 2*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -13 + 70 + 10 + -8 + 7?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*o**3 + 164*o**3 + 2374*o**3 - 267*o**3.\nAnswer: 2961*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 99 = -2549. Suppose 251*u = 257*u + 5466. Let b = q + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.27 in -0.3, -0.09, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 - 75470*p + 1662760 = 0.\nAnswer: -15116, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142.0308 and 5.\nAnswer: 710.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*q**3 - 3*p**3*q + 110*p*q**3*w - 2*p*q**2*w**2 - q**3*w**2 - 26*w**2 wrt q?\nAnswer: -6*p**3 + 660*p*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 divided by -991?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 - w + 16*w**2 - 4*w**2.\nAnswer: -7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42\/25? (a) -0.5 (b) 0.16 (c) -4 (d) -319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 13. Let a be (42\/m)\/((-6)\/(-63)). Let x = 114 - a. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 5. Let o(b) = -3*b**2 - 4*b - 1. Let z(k) = 7*k**2 + 9*k + 2. Suppose -14 = -5*w + 6. Let v(j) = w*z(j) + 9*o(j). Give -i(s) + 5*v(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 1\/4, 1\/27.\nAnswer: 1\/27, 0.2, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -42 - ((-1 - 4) + 0)) + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - f = -2*f + 18, -4*f + 7 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 - 12. Determine u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170156.22495 + 170092.4. Let m = -61.825 - h. Let v = m + -2. What is v rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/196 and -65\/1134.\nAnswer: 15876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/3)\/k)**(-2)\/((k*k*k**(-19)*k)\/k**(-15)) assuming k is positive.\nAnswer: k**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110201120 (base 3) in base 7?\nAnswer: 20063241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 1. Let g be b(-6). What is the second derivative of -2*o + 3*o - 5*o + 17*o**3 - g*o**3 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651089 is divided by 27067.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326 * 7147.\nAnswer: 2329922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - 2.93. Let l = m - 1. Let p = 51 - 203\/4. Which is the closest to p? (a) -0.3 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5)*((-55)\/154)\/(-5). What is the nearest to z in 14, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2053, 2050, 2045, 2038, 2029, 2018, 2005?\n\"Answer: -v**2 + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 37 = 4*f, f - 4*p - 28 = p. Let j be 20\/f*(-12)\/(-10). Let c be (j\/28)\/(1\/7). Solve 8 = -c*u - 0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - q**2. Let n(a) = 10*a**3 + 9*a**2 + 4*a - 2. Let g(d) = 6*k(d) + n(d). Let v(l) = l**2 - 1. Let r be 28*8\/64 - 6\/4. What is r*v(w) - g(w)?\nAnswer: 2*w**3 - w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e01 - b?\nAnswer: de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(2\/9))\/d)\/(d*d*d**(-5\/6)))\/(d*d**(-2))**(3\/4) assuming d is positive.\nAnswer: d**(29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86195675 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + 383\/3. Let h = 13 - 12.98. Let y = h - 0.12. What is the closest to y in -4\/7, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 12 - 4*q**2 - q - 8 - 2*q**3 + q**3. Calculate m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*v + 103, 0*v - 41 = -2*v + q. Suppose -i + v = -26. Suppose t - 4*a = -t + i, -a - 52 = -3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123708 is divided by 513.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) 174 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2526852 (base 9) to base 16.\nAnswer: 15003e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 187. Sort -0.2, 1\/3, u, -3.\nAnswer: -3, -0.2, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 + 7*p**3\/4 + p**2 - 3*p.\nAnswer: p*(p - 1)*(p + 2)*(p + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + 5*q - 15. Let b be n(-7). Let p(s) = 584*s + 2. Let u be p(b). Let h = u + 1217. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658972 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.066, -10\/59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2765761 bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let x(i) be the second derivative of 5*i**4\/12 + 20*i**2 - 2*i + 339. What is x(l(t))?\nAnswer: 5*t**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-168)*(-12 + 16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91046730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -41.1 bigger than 302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 69 = -4*s. Solve 24 - 9 = s*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssse when four letters picked without replacement from seseessssseses?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 392 - 391.9626. What is f rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1251 - 355 = 0. Calculate the highest common factor of 196 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46094798 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*20\/24 - 7. Sort v, 0.03, 1, 4 in decreasing order.\nAnswer: 4, 1, v, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t - 27. Let l = -58 - -48. What is the tens digit of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 5. Let o(v) = 2*v + 1. Let u be o(c). Suppose 0 = g - u*n - 2*n - 10, -g - 4*n = 8. Solve -k = -g*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 0 + 0 - 14*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/1)*360\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 + 1 = 0. Suppose 3*p - h*p = -3*g + 15, 4*p + 2*g = 30. Suppose 2*c - p = c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*p = 3*p - 17, -p - 39 = -3*x. What is the greatest common divisor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -562, -2274, -5120, -9094, -14190, -20402?\n\"Answer: a**3 - 573*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*v**3 - 27*v**2 - 99*v - 1?\nAnswer: -36*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 345 - 316. Let s(j) = j**3 + 4*j**2 - 2*j. Let z be 4\/(-10) - (-26)\/(-10). What is the remainder when o is divided by s(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 l when four letters picked without replacement from bllbbbb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 8 - 1 + 193*p + 43*p to the form w + c*p and give c.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57 (b) 0 (c) 34 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67507865 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -41*t**3 + 12*t**2 + 4*t - 7. Let k(z) = 122*z**3 - 34*z**2 - 16*z + 20. Determine -17*h(p) - 6*k(p).\nAnswer: -35*p**3 + 28*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at least -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.34 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 40 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooh when four letters picked without replacement from oohhhoohoo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**25)**(-2\/35) assuming f is positive.\nAnswer: f**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i - 93*i - t - 25 = 0, 2*i + 2*t = -2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 396.94 - 393. Let i = z - -0.06. Which is the biggest value? (a) -3 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000449587 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432 divided by -4?\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 + 201. Let g(b) = 2*b**3 - 3*b**2 - 3*b - 1. Let q(k) = -2 + 5*k**3 - k**3 - 5*k**2 + 0*k**2 - 5*k. Give f*q(l) + 5*g(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 191281039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0 - 1) + 8. Let v = 84 + -77. Let k = j - v. Solve d + 2*b = -k, 4*b = 3*d - 0*d + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + l = -11, -1 = 3*k - 3*l + 2. Suppose 0*w - k*w - 63 = -3*x, -4*w - 48 = -2*x. Calculate the remainder when 34 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(t + 3*t - 5*t) + t - 3*t + t + 9*t + 13 - 13)*(3 + 1 - 5).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-115)\/(-55))\/(12\/1443). Let m = i - 1025\/4. What is the common denominator of -31\/9 and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 - 367*k\/4 - 33411\/8.\nAnswer: (k - 777)*(k + 43)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1427\/42 + -225\/7. What is the common denominator of b and -41\/1888?\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/3, -0.6, -1\/8, -32, 2 in ascending order.\nAnswer: -32, -0.6, -1\/3, -0.3, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032.646nm in micrometers?\nAnswer: 1.032646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 + 107*z**3 + 481*z + 426*z - 907*z.\nAnswer: 99*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {x: 2, b: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -268429, -536857, -805285, -1073713, -1342141?\n\"Answer: -268428*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 8. Let f(l) = l. Let o(h) = 5*f(h) + s(h). What is the tens digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w**2 + 5*w + 1. Let i(b) = -6*b**2 + 2*b. Let d(j) = -2*g(j) + 7*i(j). Let o be d(2). Let a = -11 - o. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4, 42\/29, -0.4 in decreasing order.\nAnswer: 4, 42\/29, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 10:54 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/(1\/(-15)). Suppose -3*o - 15 = -8*o. Solve 0*l = -3*c - 2*l + 8, o*l - u = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 27530.9194\nAnswer: -27530.8194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a**2 - 4*a - 25. What is y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 29 - 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 2*s)*(3*s**4 + 0*s**4 + 2*s**4) + (-1 + s**4 + 1)*(-5*s + 6*s + s) + 10904 + 31*s**5 - 10904 + (4*s - 4*s - 2*s)*(0*s**3 + 0*s**3 + 2*s**4).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -403533 (base 9) to base 2\nAnswer: -111010010011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 741628 = -2*b, 5*b + 1245725 = -4*h + 504055. Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 22*t + 179. Give n(-14).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 13*c - 50. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t**4 + 5*t**3 - 5*t - 64. Let h(m) = -34*m**4 + 8*m**3 - 8*m - 96. Let z(r) = -5*h(r) + 8*n(r). Differentiate z(u) wrt u.\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-33\/4))**(3\/31)*((j*j**(-1)\/j*j*j)\/j)**(-2\/21)\/(j**(2\/7))**6 assuming j is positive.\nAnswer: j**(-975\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-1)\/(-6)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - a + 34153 = 0, a - 4069 = l + 2764. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -696 - -403. Let n = -0.013898638 - -293.012728638. Let p = n + f. Round p to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:39 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-3))\/((14 + -7)\/(-2373)) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 3*y**3 - 7*y**3 + y - y + 2*y**3 + (-2*y**3 - y**3 - 10*y**3)*(0 + 0 - 1).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1000)*5)\/(sqrt(200) + sqrt(200)*2 + sqrt(8)))**2.\nAnswer: -125*sqrt(5)\/8 + 9525\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103037280961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**2\/2 + 15*y - 4. Does 11 divide u(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3425 and 254710?\nAnswer: 174476350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 35 - 14. Suppose 5034*f = 5029*f + 3*p + 1365, -p + 3003 = 11*f. What is the highest common divisor of z and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 9 - -14) + 14 + 1 + -10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:25 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 3. Let n(g) be the second derivative of -g**2\/2 + 17*g. Let h(r) = 1. Let w(b) = -5*h(b) - 6*n(b). What is f(p) - 2*w(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*o - 21, 0 = 5*c - 2*o - 2*o - 22. Is ((-15)\/(-12))\/(c\/88) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.7644 milligrams to kilograms.\nAnswer: 0.0001947644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*f + f - 4*f)*(-6 + 3 + 1) + f - f + f)*(-57*f + 114*f - 30*f) in the form m*f**2 + t + r*f and give m.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1)*(-3*j**2 - j**2 + 6*j**2) + 3*j**3 + 0*j**3 + 0*j**3 + (-1 - 3 + 3)*(-5*j**3 + 0*j**3 + 2*j**3).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58619 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 11. Let o be f(-8). Suppose l - o*h = 45, -4*l + 7*l = 2*h + 96. Suppose 2*j - l = -j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dso when three letters picked without replacement from {h: 4, o: 1, j: 2, z: 1, d: 11, s: 1}?\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/19))**(-9)*x**7\/x**(-1\/2) assuming x is positive.\nAnswer: x**(321\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 8. Let w = -32 - -39. Determine k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 104 = t. Suppose 123*v - 2746 = 1313. Calculate the remainder when v is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v - 152. Let o be m(12). Suppose 14*l + 24 = 17*l + 2*n, -o*n = -2*l + 32. What is the remainder when 369 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7956*f**6 + 617*f**4*z**3 - 62667*f**2*z**2 - 28*f**2 + 2*z**3 wrt f?\nAnswer: 954720*f**3 + 14808*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16830, 175, -2, 2\/3 in descending order.\nAnswer: 175, 2\/3, -1\/16830, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30511 divided by 20.\nAnswer: 30511\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 994657 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59848544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 685918918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:18 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i + 4*i + 0*i + (2*i - i - 2*i)*(1 - 1 - 1) in the form m*i + j and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 8*x**2 - 6*x - 21. Let k be u(-8). Let p = -7422 + 59563\/8. Let g = k - p. What is the common denominator of 47\/36 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1195.96 - -4.0078\nAnswer: 1199.9678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99648540 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-45)*-3*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2698 - 1080. Suppose 7*d - 41 = l. What are the prime factors of d?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5 - 72*z**4 - 954*z**3 - 5724*z**2 - 15552*z - 15552 = 0.\nAnswer: -12, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptffyypm. What is prob of picking 1 p and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 257 = -12162*w + 12155*w, -4*w + 59 = 3*s for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63 + 122 - 67)*(x - 3*x**2 - x) to l + w*x**2 + h*x and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519306786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - 115. Let k be v + (-4)\/(4\/3). Let m be (-9)\/(k + -23) - 14\/(-4). Solve -m*s - 6 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101 (base 2) in base 14?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95.5 - -21.5. Let i = -190 + w. Let m = 62.8 + i. What is m rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from ueuxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2253.\nAnswer: -1\/2253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1360\/21 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(-3 + -2*sqrt(7200) - (sqrt(7200) - (0 + -1 + sqrt(7200)))))**2*6.\nAnswer: 144000*sqrt(2) + 4322395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 298595.1 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11a (base 13) to base 8\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289 or -163399?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2380212, -2380204, -2380196, -2380188?\n\"Answer: 8*o - 2380220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3572277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 379. Let m = 108 + h. What is the tens digit of ((72\/5)\/(-3))\/(m\/380)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102304340 (base 5) in base 7?\nAnswer: 3446011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frbt when four letters picked without replacement from {b: 6, t: 3, x: 2, f: 1, r: 3, z: 5}?\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*x - x = -8, 4*q + 28 = -5*x. Let n = -28 + 24. Let s be (-1)\/(n\/q) - -3. Solve -2*r - 6 + 0 = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*m**2 - 1 + 17*m**2 + 51*m**2 + 109*m**2 - 31*m**2 to q*m + x + j*m**2 and give j.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-27) - 4\/(-3). Suppose -3*x - d = -2*x + r, -x + 7 = -r. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351723279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d**2 + 24085*d + 166390 = 0. What is d?\nAnswer: -4754\/9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 89032650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 + 6*o**2 + 4*o + 1. Let y(p) = 9*p**3 + 7*p**2 + 5*p + 1. Suppose -45*s = -s + 112*s + 624. Give s*y(i) + 5*b(i).\nAnswer: 4*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 181 - (7297 - 7399).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 66 - ((2 - 1) + -4 + -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 51*p**2 - 8 - 15*p - 15*p + 2*p**4 - 24*p**3 + p**4.\nAnswer: 3*p*(p - 5)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173403998 is divided by 1375.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(-2\/49))**(3\/11)*(r*r*r**(-2\/3)*r\/(r\/(r\/(r*r**(-2\/15)))))**50 assuming r is positive.\nAnswer: r**(830024\/11319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c. Let t be y(0). Let a be t + 64\/(-40) + (-1 - -2). What is the closest to 3 in 3\/2, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -253.4 and -3939?\nAnswer: 3685.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/90)\/((-2)\/15*9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -796022, -1592040, -2388058?\n\"Answer: -796018*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 9*n**2\/4 + 159*n + 80.\nAnswer: -(n - 16)*(n + 20)*(2*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*r + 1651 = 365*r + 6933 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -22*v. Let i(w) = -29*w - 10*w + 47*w. What is i(n(s))?\nAnswer: -176*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 - 548. Let j = 0.86 + -0.06. Let q = -1 + j. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 9. Calculate the remainder when 17 is divided by x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21832 - -2646033?\nAnswer: 2667865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40, -44, -48, -52, -56?\n\"Answer: -4*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -2\/5, -0.3, 5\/4, -0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11366 (base 10) to base 3.\nAnswer: 120120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -65*s**3 + 2*s**2 - 1. Let i be t(1). Let h = 61 + i. Which is greater: h or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k = -100*k - 68. Sort 1, k, 2 in descending order.\nAnswer: k, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3150)\/3780)\/(5\/((2\/1)\/(-12)))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1464, -4963, -10788, -18939, -29416, -42219?\n\"Answer: -1163*s**2 - 10*s - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -906180 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 8120.\nAnswer: 178640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.9954 millilitres in litres?\nAnswer: 0.2439954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*z - 133, -5*a - 5*z = -605 - 185. What is the remainder when 1054 is divided by a?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793*-5\nAnswer: 3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403533404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**8\/960 + m**6\/48 + m**4 - m. Let i(d) be the third derivative of c(d). Find the second derivative of i(y) wrt y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}